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Interval analysis for antenna-radome system electromagnetic performance considering manufacturing and environmental uncertainties 认领 引用
1
作者 Guangda Ding Peng Li +4 位作者 Kai Wu Wanye Xu Wei Wang Hang Yuan Wenwu Zhang 《Defence Technology（防务技术）》 SCIE EI CAS CSCD 2026年第6期273-285,共13页
Manufacturing and environmental uncertainties can significantly affect the electromagnetic(EM)performance of antenna-radome systems,leading to degradation in key indicators such as reduced transmission coefficient,inc... Manufacturing and environmental uncertainties can significantly affect the electromagnetic(EM)performance of antenna-radome systems,leading to degradation in key indicators such as reduced transmission coefficient,increased boresight error,and shortened radar detection range.To efficiently and accurately quantify these effects,this study proposes a combined strategy that integrates the Physical Optics-based Surface Integral(PO-SI)method with Interval Analysis(IA).The PO-SI method enables accurate modeling of complex radome structures,while IA estimates the upper and lower bounds of EM performance fluctuations by accounting for both manufacturing errors and environmental uncertainties.Compared to Geometric Optics-based methods,the proposed approach(PO-SI-IA)produces more accurate results that closely align with measured data,without reliance on extensive Monte Carlo sampling.Numerical simulations and microwave anechoic chamber experiments validate its accuracy and robustness.This work provides a reliable theoretical basis for uncertainty performance analysis and offers an efficient and flexible tool for EM performance evaluation and design of antennaradome systems in complex operational environments. 展开更多
关键词 Manufacturing error Environmental uncertainties Antenna-radome systems Electromagnetic(EM)performance PO-Based surface integral(PO-SI) Interval analysis
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Accuracy Analysis of Stewart Platform Based on Interval Analysis Method 认领 引用 被引量：30
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作者 YAO Rui ZHU Wenbai HUANG Peng 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2013年第1期29-34,共6页
A Stewart platform is introduced in thc 500 m aperture spherical radio telescope（FAST） as an accuracy adjustable mechanism for teed receivers. Accuracy analysis is the basis of accuracy design. However, a rapid and ... A Stewart platform is introduced in thc 500 m aperture spherical radio telescope（FAST） as an accuracy adjustable mechanism for teed receivers. Accuracy analysis is the basis of accuracy design. However, a rapid and effective accuracy analysis method for parallel manipulator is still needed. In order to enhance solution efficiency, an interval analysis method（lA method） is introduced to solve the terminal error bound of the Stewart platform with detailed solution path. Taking a terminal pose of the Stewart platform in FAST as an example, the terminal error is solved by the Monte Carlo method（MC method） by 4 980 s, the stochastic mathematical method（SM method） by 0.078 s, and the IA method by 2.203 s. Compared with MC method, the terminal error by SM method leads a 20% underestimate while the IA method can envelop the real error bound of the Stewart platform. This indicates that the IA method outperforms the other two methods by providing quick calculations and enveloping the real error bound of the Stewart platform. According to the given structural error of the dimension parameters of the Stewart platform, the IA method gives a maximum position error of 19.91 mm and maximum orientation error of 0.534°, which suggests that the IA method can be used for accuracy design of the Stewart platfbnn in FAST. The 1A method presented is a rapid and effective accuracy analysis method for Stewart platform. 展开更多
关键词 Stewart platform accuracy interval analysis radio telescope
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An iterative interval analysis method based on Kriging-HDMR for uncertainty problems 认领 引用 被引量：7
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作者 Lei Ji Guangsong Chen +2 位作者 Linfang Qian Jia Ma Jinsong Tang 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2022年第7期164-176,I0004,共13页
In recent years,growing attention has been paid to the interval investigation of uncertainty problems.However,the contradiction between accuracy and efficiency always exists.In this paper,an iterative interval analysi... In recent years,growing attention has been paid to the interval investigation of uncertainty problems.However,the contradiction between accuracy and efficiency always exists.In this paper,an iterative interval analysis method based on Kriging-HDMR(IIAMKH)is proposed to obtain the lower and upper bounds of uncertainty problems considering interval variables.Firstly,Kriging-HDMR method is adopted to establish the meta-model of the response function.Then,the Genetic Algorithm&Sequential Quadratic Programing(GA&SQP)hybrid optimization method is applied to search for the minimum/maximum values of the meta-model,and thus the corresponding uncertain parameters can be obtained.By substituting them into the response function,we can acquire the predicted interval.Finally,an iterative process is developed to improve the accuracy and stability of the proposed method.Several numerical examples are investigated to demonstrate the effectiveness of the proposed method.Simulation results indicate that the presented IIAMKH can obtain more accurate results with fewer samples. 展开更多
关键词 Uncertainty Interval analysis Iterative process Kriging-HDMR
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Interval analysis of rotor dynamic response based on Chebyshev polynomials 认领 引用 被引量：7
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作者 Yanhong MA Yongfeng WANG +1 位作者 Cun WANG Jie HONG 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2020年第9期2342-2356,共15页
Uncertainty is extensively involved in the rotor systems of rotating machinery, which may cause an unstable vibrational response. To take the uncertainty into consideration for the uncertain rotor-bearing system, an i... Uncertainty is extensively involved in the rotor systems of rotating machinery, which may cause an unstable vibrational response. To take the uncertainty into consideration for the uncertain rotor-bearing system, an improved unified interval analysis method based on the Chebyshev expansion is established in this paper. Firstly, the Chebyshev Interval Method(CIM) to calculate not only the critical speeds but also the dynamic response of rotor with uncertain parameters is introduced. Then, the numerical investigation is carried out based on the developed double disk rotor model and computation procedure, and the results demonstrate the validity. But when the uncertainty is sufficiently large to influence critical speeds, the upper and lower bounds are far from the actual bounds. In order to overcome the defects, a Bound Correction Interval analysis Method(BCIM) is proposed based on the Chebyshev expansion and the modal superposition. In use of the improved method, the bounds of the interval responses, especially the upper bound,are corrected, and the comparison with other methods demonstrates that the higher accuracy and a wider application range. 展开更多
关键词 Aero-engine Chebyshev expansion Interval analysis methods Rotor dynamics Uncertainty
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Safety estimation of structural systems via interval analysis 认领 引用 被引量：7
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作者 Wang Xiaojun Wang Lei Qiu Zhiping 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2013年第3期614-623,共10页
Considering that the uncertain information has serious influences on the safety of structural systems and is always limited, it is reasonable that the uncertainties are generally described as interval sets. Based on t... Considering that the uncertain information has serious influences on the safety of structural systems and is always limited, it is reasonable that the uncertainties are generally described as interval sets. Based on the non-probabilistic set-theoretic theory, which is applied to measuring the safety of structural components and further combined with the branch-and-bound method for the probabilistic reliability analysis of structural systems, the non-probabilistic branch-and-bound method for determining the dominant failure modes of an uncertain structural system is given. Meanwhile, a new system safety measuring index obtained by the non-probabilistic set-theoretic model is investigated. Moreover, the compatibility between the classical probabilistic model as well as the proposed interval-set model will be discussed to verify the physical meaning of the safety measure in this paper. Some numerical examples are utilized to illustrate the validity and feasibility of the developed method. 展开更多
关键词 Interval analysis Non-probabilistic branch-and-bound method Non-probabilistic set-theoretic measure Structural reliability
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Interval Analysis Method on the Buckling of Composite Laminate 认领 引用 被引量：5
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作者 邱志平 李飞 杨嘉陵 《Chinese Journal of Aeronautics》 EI CAS 2005年第3期218-222,共5页
A method named interval analysis method, which solves the buckling load of composite laminate with uncertainties, is presented. Based on interval mathematics and Taylor series expansion, the interval analysis method i... A method named interval analysis method, which solves the buckling load of composite laminate with uncertainties, is presented. Based on interval mathematics and Taylor series expansion, the interval analysis method is used to deal with uncertainties. Not necessarily knowing the probabilistic statistics characteristics of the uncertain variables, only little information on physical properties of material is needed in the interval analysis method, that is, the upper bound and lower bound of the uncertain variable. So the interval of response of the structure can be gotten through less computational efforts. The interval analysis method is efficient under the condition that probability approach cannot work well because of small samples and deficient statistics characteristics. For buckling load of a special cross-ply laminates and antisymmetric angle-ply laminates with all edges simply supported, calculations and comparisons between interval analysis method and probability method are performed. 展开更多
关键词 laminate buckling load uncertain parameter interval analysis probabilistic statistics method
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Combination of structural reliability and interval analysis 认领 引用 被引量：7
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作者 Zhiping Qiu Di Yang Isaac Elishakoff 《Acta Mechanica Sinica》 SCIE EI CAS 2008年第1期61-67,共7页
In engineering applications, probabilistic reliability theory appears to be presently the most important method, however, in many cases precise probabilistic reliability theory cannot be considered as adequate and cre... In engineering applications, probabilistic reliability theory appears to be presently the most important method, however, in many cases precise probabilistic reliability theory cannot be considered as adequate and credible model of the real state of actual affairs. In this paper, we developed a hybrid of probabilistic and non-probabilistic reliability theory, which describes the structural uncertain parameters as interval variables when statistical data are found insufficient. By using the interval analysis, a new method for calculating the interval of the structural reliability as well as the reliability index is introduced in this paper, and the traditional probabilistic theory is incorporated with the interval analysis. Moreover, the new method preserves the useful part of the traditional probabilistic reliability theory, but removes the restriction of its strict requirement on data acquisition. Example is presented to demonstrate the feasibility and validity of the proposed theory. 展开更多
关键词 Non-probabilistic Reliability Interval analysis Parameter estimation
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Interval analysis method and convex models for impulsive response of structures with uncertain-but-bounded external loads 认领 引用 被引量：7
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作者 Zhiping Qiu Xiaojun Wang 《Acta Mechanica Sinica》 SCIE EI CAS 2006年第3期265-276,共12页
Two non-probabilistic, set-theoretical methods for determining the maximum and minimum impulsive responses of structures to uncertain-but-bounded impulses are presented. They are, respectively, based on the theories o... Two non-probabilistic, set-theoretical methods for determining the maximum and minimum impulsive responses of structures to uncertain-but-bounded impulses are presented. They are, respectively, based on the theories of interval mathematics and convex models. The uncertain-but-bounded impulses are assumed to be a convex set, hyper-rectangle or ellipsoid. For the two non-probabilistic methods, less prior information is required about the uncertain nature of impulses than the probabilistic model. Comparisons between the interval analysis method and the convex model, which are developed as an anti-optimization problem of finding the least favorable impulsive response and the most favorable impulsive response, are made through mathematical analyses and numerical calculations. The results of this study indicate that under the condition of the interval vector being determined from an ellipsoid containing the uncertain impulses, the width of the impulsive responses predicted by the interval analysis method is larger than that by the convex model; under the condition of the ellipsoid being determined from an interval vector containing the uncertain impulses, the width of the interval impulsive responses obtained by the interval analysis method is smaller than that by the convex model. 展开更多
关键词 Impulsive response Interval analysis method Convex model Uncertain-but-bounded impulse
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Electric Multiple Unit Bogie Maintainability Allocation with Interval Analysis and Fuzzy Evaluation Method 认领 引用 被引量：1
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作者 李永华 禹红杰 《Journal of Donghua University(English Edition)》 EI CAS 2014年第6期860-862,共3页
Based on the failure rate and design features allocation method,considering the multiple influential factors which affect electric multiple unit( EMU) bogies,maintainability allocation on EMU bogie was presented by in... Based on the failure rate and design features allocation method,considering the multiple influential factors which affect electric multiple unit( EMU) bogies,maintainability allocation on EMU bogie was presented by interval analytic hierarchy analysis and fuzzy comprehensive assessment. The maintainability allocation model was established. Weight based on the influence degree of each factor on maintenance was assigned. Fuzzy interval numbers were used to substitute real numbers and express uncertain information.The maintenance weighting factors for each subsystem were calculated by fuzzy comprehensive assessment. Then the allocation method was applied to EMU bogie. The results show that the method is feasible. The problem difficult to quantify for EMU bogie maintenance allocation is solved effectively. 展开更多
关键词 Maintainability Allocation Interval Analysis Fuzzy Comprehensive Evaluation Bogie
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Energy density response prediction of structures with uncertainty using interval analysis method 认领 引用
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作者 赵阳 王坤 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2012年第4期96-98,共3页
Prediction of vibration energy responses of structures with uncertainties is of interest in many fields. The energy density control equation for one-dimensional structure is provided firstly. Interval analysis method ... Prediction of vibration energy responses of structures with uncertainties is of interest in many fields. The energy density control equation for one-dimensional structure is provided firstly. Interval analysis method is applied to the control equation to obtain the range of energy density responses of structures with interval parameters. A cantilever beam with interval-valued damping coefficient is exemplified to carry out a simulation. The result shows that the mean value of energy density from the interval analysis method is the same as that from a probabilistic method which validates the interval analysis method. Besides, the response range from the interval analysis method is wider and includes that from the probabilistic method which indicates the interval analysis method is a more conservative method and is safer in realistic engineering structures. 展开更多
关键词 interval analysis method Energy Finite Element Method uncertain structures
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Interval Finite Element Analysis of Wing Flutter 认领 引用 被引量：20
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作者 王晓军 邱志平 《Chinese Journal of Aeronautics》 SCIE EI CAS 2008年第2期134-140,共7页
The influences of uncertainties in structural parameters on the flutter speed of wing are studied. On the basis of the deterministic flutter analysis model of wing, the uncertainties in structural parameters are consi... The influences of uncertainties in structural parameters on the flutter speed of wing are studied. On the basis of the deterministic flutter analysis model of wing, the uncertainties in structural parameters are considered and described by interval numbers. By virtue of first-order Taylor series expansion, the lower and upper bound curves of the transient decay rate coefficient versus wind velocity are given. So the interval estimation of the flutter critical wind speed of wing can be obtained, which is more reasonable than the point esti- mation obtained by the deterministic flutter analysis and provides the basis for the further non-probabilistic interval reliability analysis of wing flutter. The flow chart for interval fmite element model of flutter analysis of wing is given. The proposed interval finite element model and the stochastic finite element model for wing flutter analysis are compared by the examples of a three degrees of freedom airfoil and fuselage and a 15° sweptback wing, and the results have shown the effectiveness and feasibility of the presented model. The prominent advantage of the proposed interval finite element model is that only the bounds of uncertain parameters are required, and the probabilistic distribution densities or other statistical characteristics are not needed. 展开更多
关键词 wing flutter flutter speed uncertainty interval analysis
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A collocation interval analysis method for interval structural parameters and stochastic excitation 认领 引用 被引量：14
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作者 QI WuChao QIU ZhiPing 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2012年第1期66-77,共12页
Uncertainty propagation,one of the structural engineering problems,is receiving increasing attention owing to the fact that most significant loads are random in nature and structural parameters are typically subject t... Uncertainty propagation,one of the structural engineering problems,is receiving increasing attention owing to the fact that most significant loads are random in nature and structural parameters are typically subject to variation.In the study,the collocation interval analysis method based on the first class Chebyshev polynomial approximation is presented to investigate the least favorable responses and the most favorable responses of interval-parameter structures under random excitations.Compared with the interval analysis method based on the first order Taylor expansion,in which only information including the function value and derivative at midpoint is used,the collocation interval analysis method is a non-gradient algorithm using several collocation points which improve the precision of results owing to better approximation of a response function.The pseudo excitation method is introduced to the solving procedure to transform the random problem into a deterministic problem.To validate the procedure,we present numerical results concerning a building under seismic ground motion and aerofoil under continuous atmosphere turbulence to show the effectiveness of the collocation interval analysis method. 展开更多
关键词 uncertainty propagation interval analysis Taylor series expansion Chebyshev polynomial Pseudo excitation method
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Sensitivity and inverse analysis methods for parameter intervals 认领 引用 被引量：2
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作者 Guojian Shao Jingbo Su 《Journal of Rock Mechanics and Geotechnical Engineering》 EI 2010年第3期274-280,共7页
This paper proposes a sensitivity analysis method for engineering parameters using interval analyses.This method substantially extends the application of interval analysis method.In this scheme,parameter intervals and... This paper proposes a sensitivity analysis method for engineering parameters using interval analyses.This method substantially extends the application of interval analysis method.In this scheme,parameter intervals and decision-making target intervals are determined using the interval analysis method.As an example,an inverse analysis method for uncertainty is presented.The intervals of unknown parameters can be obtained by sampling measured data.Even for limited measured data,robust results can also be obtained with the inverse analysis method,which can be intuitively evaluated by the uncertainty expressed in terms of an interval.For complex nonlinear problems,an iteratively optimized inverse analysis model is proposed.In a given set of loose parameter intervals,all the unknown parameter intervals that satisfy the measured information can be obtained by an iteratively optimized inverse analysis model.The influences of measured precisions and the number of parameters on the results of the inverse analysis are evaluated.Finally,the uniqueness of the interval inverse analysis method is discussed. 展开更多
关键词 interval analysis method sensitivity analysis reversible inverse analysis method iteratively optimized inverse analysis method
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Sensitivity analysis of soil parameters based on interval 认领 引用 被引量：1
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作者 苏静波 邵国建 褚卫江 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2008年第12期1651-1662,共12页
Interval analysis is a new uncertainty analysis method for engineering structures. In this paper, a new sensitivity analysis method is presented by introducing interval analysis which can expand applications of the in... Interval analysis is a new uncertainty analysis method for engineering structures. In this paper, a new sensitivity analysis method is presented by introducing interval analysis which can expand applications of the interval analysis method. The interval analysis process of sensitivity factor matrix of soil parameters is given. A method of parameter intervals and decision-making target intervals is given according to the interval analysis method. With FEM, secondary developments are done for Marc and the Duncan-Chang nonlinear elastic model. Mutual transfer between FORTRAN and Marc is implemented. With practial examples, rationality and feasibility are validated. Comparison is made with some published results. 展开更多
关键词 interval analysis method sensitivity secondary development of Marc Duncan-Chang model
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Sustainable Marine Operations:Uncertainty-Aware Multi-Body Motion Analysis of Offshore Support Vessels 认领 引用
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作者 Suleiman Mohammad Yogeesh Nijalingappa +5 位作者 Markala Karthik Raja NatarajanKarim Hanan Jadallah Azizbek Matmuratov Asokan Vasudevan Mashkhura Sultonova 《Sustainable Marine Structures》 2025年第4期255-275,共21页
Offshore support operations must balance safety and sustainability under highly variable sea conditions.Deterministic motion analyses can underestimate extreme vessel responses,leading to insufficient operational limi... Offshore support operations must balance safety and sustainability under highly variable sea conditions.Deterministic motion analyses can underestimate extreme vessel responses,leading to insufficient operational limits and increased environmental impact.We develop a fuzzy‐enhanced multi‐body dynamics framework in which key inputs significant wave height,peak period,added mass,and radiation damping are represented as fuzzy numbers.Anα-cut decomposition yields interval bounds at each confidence level,and a fourth-order Runge-Kutta scheme integrates the six-degree-of-freedom equations of motion for both lower and upper“vertex”systems.A case study off the Karnataka coast applies both full 6-DoF and single-DOF heave approximations to demonstrate methodology.The heave response envelopes under calm(nominalα=1:0.73 m;full range atα=0:0.64–1.64 m)and severe(nominal 1.58 m;range 1.32–2.36 m)sea states reveal potential underestimations of 124%and 49%,respectively,when using only nominal values.By selecting an operationalα-level(e.g.,α*=0.35 to cap heave≤1.8 m),decision-makers can balance risk tolerance and conservatism.Sensitivity analysis identifies significant wave height as the dominant uncertainty driver.Computational trade-offs and adaptiveα-sampling strategies are discussed.This work provides a self-contained,uncertainty-aware tool for deriving operational envelopes that improve risk-informed planning and enable fuel-efficiency optimization.By embedding fuzzy uncertainty quantification into vessel dynamics,the methodology supports safer,more sustainable marine operations and can be extended to real-time sensor fusion,multi-vessel interactions,and frequency-dependent hydrodynamics. 展开更多
关键词 Fuzzy Uncertainty Quantification α-Cut Interval Analysis Hydrodynamic Modeling Sea-State Spectrum Modeling Heave Response Envelope Operational Risk Assessment Fuel Consumption Optimization
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A novel method of Newton iteration-based interval analysis for multidisciplinary systems 认领 引用 被引量：2
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作者 Lei Wang Chuang Xiong +2 位作者 RuiXing Wang XiaoJun Wang Di Wu 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS CSCD 2017年第9期47-62,共16页
A Newton iteration-based interval uncertainty analysis method(NI-IUAM) is proposed to analyze the propagating effect of interval uncertainty in multidisciplinary systems. NI-IUAM decomposes one multidisciplinary syste... A Newton iteration-based interval uncertainty analysis method(NI-IUAM) is proposed to analyze the propagating effect of interval uncertainty in multidisciplinary systems. NI-IUAM decomposes one multidisciplinary system into single disciplines and utilizes a Newton iteration equation to obtain the upper and lower bounds of coupled state variables at each iterative step.NI-IUAM only needs to determine the bounds of uncertain parameters and does not require specific distribution formats. In this way, NI-IUAM may greatly reduce the necessity for raw data. In addition, NI-IUAM can accelerate the convergence process as a result of the super-linear convergence of Newton iteration. The applicability of the proposed method is discussed, in particular that solutions obtained in each discipline must be compatible in multidisciplinary systems. The validity and efficiency of NI-IUAM is demonstrated by both numerical and engineering examples. 展开更多
关键词 multidisciplinary systems uncertainty propagation insufficient sample data interval uncertainty analysis method Newton iteration
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Theoretical analysis of non-probabilistic reliability based on interval model 认领 引用 被引量：4
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作者 Xu-Yong Chen Jian-Ping Fan Xiao-Ya Bian 《Acta Mechanica Solida Sinica》 SCIE EI CSCD 2017年第6期638-646,共9页
The aim of this paper is to propose a theoretical approach for performing the nonprobabilistic reliability analysis of structure.Due to a great deal of uncertainties and limited measured data in engineering practice,t... The aim of this paper is to propose a theoretical approach for performing the nonprobabilistic reliability analysis of structure.Due to a great deal of uncertainties and limited measured data in engineering practice,the structural uncertain parameters were described as interval variables.The theoretical analysis model was developed by starting from the 2-D plane and 3-D space.In order to avoid the loss of probable failure points,the 2-D plane and 3-D space were respectively divided into two parts and three parts for further analysis.The study pointed out that the probable failure points only existed among extreme points and root points of the limit state function.Furthermore,the low-dimensional analytical scheme was extended to the high-dimensional case.Using the proposed approach,it is easy to find the most probable failure point and to acquire the reliability index through simple comparison directly.A number of equations used for calculating the extreme points and root points were also evaluated.This result was useful to avoid the loss of probable failure points and meaningful for optimizing searches in the research field.Finally,two kinds of examples were presented and compared with the existing computation.The good agreements show that the proposed theoretical analysis approach in the paper is correct.The efforts were conducted to improve the optimization method,to indicate the search direction and path,and to avoid only searching the local optimal solution which would result in missed probable failure points. 展开更多
关键词 Non-probabilistic Reliability Interval model Theoretical analysis Probable failure point
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Interval-Based Multi-Body Dynamics Simulation of Special-Purpose Vessels in Rough Sea Con ditions 认领 引用
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作者 Nijalingappa Yogeesh Suleiman Ibrahim Shelash Mohammad +4 位作者 Natarajan Raja Asokan Vasudevan Thirumalesha Babu Tumkur Rangaswamy Ashalatha Kodihalli Siddagangaiah Anber Abraheem Mohammad 《Sustainable Marine Structures》 2025年第3期209-226,共18页
Vessel motions in offshore operations are heavily influenced by uncertain wave loads and hydrodynamic parameters.Yet,traditional deterministic or probabilistic models often fail to capture epistemic ambiguity when dat... Vessel motions in offshore operations are heavily influenced by uncertain wave loads and hydrodynamic parameters.Yet,traditional deterministic or probabilistic models often fail to capture epistemic ambiguity when data are scarce.We introduce a fuzzy–set framework usingα-cut interval analysis to represent imprecise wave heights,periods,added mass,damping,and stiffness as fuzzy numbers.These are incorporated into the multi-body equations of motion and solved via a fuzzy Runge–Kutta scheme across nestedα-levels.A simulation architecture iterates overα-cuts and time-steps to produce interval bounds on heavy responses.A case study off the Karnataka coast,with realistic sea-state data for moderate and severe scenarios,yields heave-amplitude envelopes whose widths quantify response uncertainty.At mid-confidence(α=0.5),moderate seas produce amplitudes of 8.30–9.65 m(±15%),while severe seas yield 7.15–8.90 m(±22%).Envelope narrowing asα→1 confirms that increased parameter confidence reduces prediction spread,and bias analysis against crisp baselines highlights the impact of imprecision on mean responses.This non-probabilistic approach provides interpretable,worst-and best-case motion bounds without requiring large datasets,offering marine engineers robust safety margins and guidance for targeted data collection and real-time uncertainty updating. 展开更多
关键词 Epistemic Uncertainty α-Cut Interval Analysis Interval Arithmetic Hydrodynamic Modelling Heave Response Marine Structures Wave-Induced Motion
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PARALLEL COMPUTING FOR STATIC RESPONSE ANALYSIS OF STRUCTURES WITH UNCERTAIN-BUT-BOUNDED PARAMETERS 认领 引用 被引量：2
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作者 Zhiping Qiu Xiaojun Wang Xu Zhang 《Acta Mechanica Solida Sinica》 SCIE EI 2008年第5期472-482,共11页
The vertex solution for estimation on the static displacement bounds of structures with uncertain-but-bounded parameters is studied in this paper.For the linear static problem,when there are uncertain interval paramet... The vertex solution for estimation on the static displacement bounds of structures with uncertain-but-bounded parameters is studied in this paper.For the linear static problem,when there are uncertain interval parameters in the stiffness matrix and the vector of applied forces,the static response may be an interval.Based on the interval operations,the interval solution obtained by the vertex solution is more accurate and more credible than other methods(such as the perturbation method).However,the vertex solution method by traditional serial computing usually needs large computational efforts,especially for large structures.In order to avoid its disadvantages of large calculation and much runtime,its parallel computing which can be used in large-scale computing is presented in this paper.Two kinds of parallel computing algorithms are proposed based on the vertex solution.The parallel computing will solve many interval problems which cannot be resolved by traditional interval analysis methods. 展开更多
关键词 vertex solution interval analysis UBB parallel computing
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An Interval Algorithm of Maintenance Windows Under Uncertain Parameters 认领 引用
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作者 温亮 吴甦 贾希胜 《Journal of Shanghai Jiaotong university(Science)》 EI 2015年第4期495-499,共5页
For improving the method of finding maintenance windows under uncertain parameters, an algorithm of maintenance window under uncertainties is presented using interval analysis and sensitivity analysis. Age replacement... For improving the method of finding maintenance windows under uncertain parameters, an algorithm of maintenance window under uncertainties is presented using interval analysis and sensitivity analysis. Age replacement model is selected to demonstrate how to use this new algorithm. Considered the uncertainties, the optimal maintenance interval of preventive maintenance is not only a single value, but a possible range. The requirement from maintenance engineers is also considered, the maintenance window is made as a symmetrical interval format, like(100 ± 10) day. Comparing with the methods using in the literatures, the new algorithm is without requirement of distribution assumption of uncertain parameter values and computer simulation. 展开更多
关键词 maintenance optimization uncertainty interval analysis maintenance window
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