期刊文献+
任意字段
题名或关键词
题名
关键词
摘要
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息
共找到663,465篇文章
< 1 2 … 250 >
每页显示 20 50 100
已选0条
引用分析
参考文献
引证文献
 统计分析
检索结果
已选文献
显示方式：
Bending Analysis of Functionally Graded Material and Cracked Homogeneous Thin Plates Using Meshfree Numerical Manifold Method 认领 引用
1
作者 Shouyang Huang Hong Zheng +2 位作者 Xuguang Yu Ziheng Li Zhiwei Pan 《Computer Modeling in Engineering & Sciences》 SCIE EI 2026年第3期304-340,共37页
Functionally graded material(FGM)plates are widely used in various engineering structures owing to their tailor-made mechanical properties,whereas cracked homogeneous plates constitute a canonical setting in fracture ... Functionally graded material(FGM)plates are widely used in various engineering structures owing to their tailor-made mechanical properties,whereas cracked homogeneous plates constitute a canonical setting in fracture mechanics analysis.These two classes of problems respectively embody material non-uniformity and geometric discontinuity,thereby imposing more stringent requirements on numerical methods in terms of high-order field continuity and accurate defect representation.Based on the classical Kirchhoff-Love plate theory,a numerical manifold method(MLS-NMM)incorporating moving least squares(MLS)interpolation is developed for bending analysis of FGM plates and fracture simulation of homogeneous plates with defects.The method constructs an H2-regular approximation with high-order continuous weighting functions and,combined with the separation of mathematical and physical covers,establishes a unified framework that accurately handles material gradients and cracks without mesh reconstruction.For the crack tip,a singular physical cover incorporating the Williams asymptotic field is introduced to achieve local enrichment,enabling the natural capture of displacement discontinuity and stress singularity.Stress intensity factors are extracted using the interaction integral method,and the dimensionless J-integral shows a maximum relative error below 1.2%compared with the reference solution.Numerical results indicate that MLS-NMM exhibits excellent convergence performance:using 676 mathematical nodes,the nondimensional central deflection of both FGM and homogeneous plates agrees with reference solutions with a maximum relative error below 0.81%,and no shear locking occurs.A systematic analysis reveals that for a simply supported on all four edges(SSSS)FGM square plate with a/h=10,the nondimensional central deflection increases by 212%as the gradient index nrises from 0 to 5.For a homogeneous plate containing a central crack with c/a=0.6,the nondimensional central deflection increases by approximately 46%compared with the intact plate.Under weak boundary constraints(e.g.,SFSF),the deformation is markedly amplified,with the deflection reaching more than three times that under strong constraints(SCSC).The proposed method provides an efficient,reconstruction-free numerical tool for high-accuracy bending and fracture analyses of FGM and cracked thin-plate structures. 展开更多
关键词 Kirchhoff-love plate theory functionally graded materials moving least squares interpolation numerical manifold method bending analysis fracture mechanics stress intensity factor
暂未订购 下载PDF
A sixth-order method for large deflection bending analysis of complex plates with multiple holes 认领 引用 被引量：1
2
作者 Yonggu Feng Youhe Zhou Jizeng Wang 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2025年第6期105-124,共20页
The challenge of solving nonlinear problems in multi-connected domains with high accuracy has garnered significant interest.In this paper,we propose a unified wavelet solution method for accurately solving nonlinear b... The challenge of solving nonlinear problems in multi-connected domains with high accuracy has garnered significant interest.In this paper,we propose a unified wavelet solution method for accurately solving nonlinear boundary value problems on a two-dimensional(2D)arbitrary multi-connected domain.We apply this method to solve large deflection bending problems of complex plates with holes.Our solution method simplifies the treatment of the 2D multi-connected domain by utilizing a natural discretization approach that divides it into a series of one-dimensional(1D)intervals.This approach establishes a fundamental relationship between the highest-order derivative in the governing equation of the problem and the remaining lower-order derivatives.By combining a wavelet high accuracy integral approximation format on 1D intervals,where the convergence order remains constant regardless of the number of integration folds,with the collocation method,we obtain a system of algebraic equations that only includes discrete point values of the highest order derivative.In this process,the boundary conditions are automatically replaced using integration constants,eliminating the need for additional processing.Error estimation and numerical results demonstrate that the accuracy of this method is unaffected by the degree of nonlinearity of the equations.When solving the bending problem of multi-perforated complex-shaped plates under consideration,it is evident that directly using higher-order derivatives as unknown functions significantly improves the accuracy of stress calculation,even when the stress exhibits large gradient variations.Moreover,compared to the finite element method,the wavelet method requires significantly fewer nodes to achieve the same level of accuracy.Ultimately,the method achieves a sixth-order accuracy and resembles the treatment of one-dimensional problems during the solution process,effectively avoiding the need for the complex 2D meshing process typically required by conventional methods when solving problems with multi-connected domains. 展开更多
关键词 Wavelet integral collocation method Multi-connected domain Large deflection bending Plate with holes Highaccuracy
暂未订购 下载PDF
Fracture behavior of sandstone with partial filling flaw under mixed-mode loading: Three-point bending tests and discrete element method 认领 引用
3
作者 Dongdong Ma Yu Wu +4 位作者 Xiao Ma Xunjian Hu Wenbao Dong Decheng Li Lingyu Li 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE CSCD 2025年第1期291-308,共18页
The fracture behavior of natural fracture in the geological reservoir subjected to filling property,affects the crack initiation and propagation under stress perturbation.Partial filling flaws were intermediate betwee... The fracture behavior of natural fracture in the geological reservoir subjected to filling property,affects the crack initiation and propagation under stress perturbation.Partial filling flaws were intermediate between open fractures and filled fractures,the fracture response may be worth exploring.In this work,the effect of the filling property of sandstone with partial filling flaws on the fracture behavior was systematically investigated based on three-point bending tests and the numerical approach of discrete element method(DEM).In the laboratory,semi-circular three-point bending tests were carried out with partial filling flaws of various filling strengths.Based on this,numerical simulations were used to further investigate the effect of the filling ratio and the inclination of the partial filling flaw on the mechanical and fracture responses,and the effect of the partial filling flaw under mixed-mode loading on the fracture mechanism was elucidated coupled with acoustic emission(AE)characteristics.The obtained results showed that the increase in filling strength and filling ratio of partial filling flaw led to an increase in peak strength,with a decreasing trend in peak strength with the inclination of partial filling flaw.In terms of crack propagation pattern,the increasing filling strength of the partial filling flaw induced the transformation of the fracture mechanism toward deflection,with a tortuosity path,while the filling ratio and inclination of partial filling flaw led to fracture mechanism change from deflection to penetration and attraction,accompanied with a larger AE event source in filler.Accordingly,the b-value based on the Gutenberg-Richter equation fluctuated between 5 and 4 at low filling ratio and inclination and remained around 5 at high filling ratio and inclination of partial filling flaw.Related results may provide an application prospective for reservoir stimulation using the natural fracture system. 展开更多
关键词 Partial filling flaw Mixed-mode loading Semi-circular three-point bending Acoustic emission(AE) b-value
暂未订购 下载PDF
METHOD TO CALCULATE BENDING CENTER AND STRESS INTENSITY FACTORS OF CRACKED CYLINDER UNDER SAINT-VENANT BENDING 认领 引用
4
作者 TANG Pen-ji +1 位作者 TANG Xin-yan 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2001年第1期79-88,共10页
Using the single crack solution and the regular solution elf plane harmonic function, the problem of Saint-Venant bending of a cracked cylinder by a transverse force was reduced to solving two sets of integral equatio... Using the single crack solution and the regular solution elf plane harmonic function, the problem of Saint-Venant bending of a cracked cylinder by a transverse force was reduced to solving two sets of integral equations and its general solution was then obtained. Based on the obtained solution, a method to calculate the bending center and the stress intensity factors of the cracked cylinger whose cross-section is not thin-walled, but of small torsion rigidity is proposed. Some numerical examples are given. 展开更多
关键词 cracked cylinger Saint-Venant bending bending center stress intensity factors integral equation method
暂未订购 下载PDF
2D numerical manifold method based on quartic uniform B-spline interpolation and its application in thin plate bending 认领 引用 被引量：8
5
作者 温伟斌 蹇开林 骆少明 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2013年第8期1017-1030,共14页
A new numerical manifold （NMM） method is derived on the basis of quartic uniform B-spline interpolation. The analysis shows that the new interpolation function possesses higher-order continuity and polynomial consis... A new numerical manifold （NMM） method is derived on the basis of quartic uniform B-spline interpolation. The analysis shows that the new interpolation function possesses higher-order continuity and polynomial consistency compared with the conven- tional NMM. The stiffness matrix of the new element is well-conditioned. The proposed method is applied for the numerical example of thin plate bending. Based on the prin- ciple of minimum potential energy, the manifold matrices and equilibrium equation are deduced. Numerical results reveal that the NMM has high interpolation accuracy and rapid convergence for the global cover function and its higher-order partial derivatives. 展开更多
关键词 numerical manifold method （NMM） manifold element B-spline thinplate bending
暂未订购 下载PDF
Numerical Method Based on Compatible Manifold Element for Thin Plate Bending 认领 引用 被引量：4
6
作者 ZHANG Zhengrong ZHANG Xiangwei Lu Wenge 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS 2010年第1期100-109,共10页
The typical quadrangular and triangular elements for thin plate bending based on Kirchhoff assumptions are the non- conforming elements with low computational accuracy and limitative application range in fmite element... The typical quadrangular and triangular elements for thin plate bending based on Kirchhoff assumptions are the non- conforming elements with low computational accuracy and limitative application range in fmite element method（FEM）. Some compatible elements can be developed by the means of supplementing correction functions, increasing nodes in element or on the boundaries, expanding nodal degrees of freedom（DOF）, etc, but these elements are inconvenient to apply in practice for the high calculation complexity. In this paper, in order to overcome the defects of thin plate bending finite element, numerical manifold method（NMM） was introduced to solve thin plate bending deformation problem. Rectangular mesh was adopted as mathematical mesh to form f＇mite element cover system, and then 16-cover manifold element was proposed. Numerical manifold formulas were constructed on the basis of minimum potential energy principle, displacement boundary conditions are implemented by penalty function method, and all the element matrixes were derived in details. The 16-cover element has a simple calculation process for employing only the transverse displacement cover DOFs as the basic unknown variables, and has been proved to meet the requirements of completeness and full compatibility. As an application, the presented 16-cover element has been used to analyze bending deformation of square thin plate under different loads and boundary conditions, and the results show that numerical manifold method with compatible element, compared with finite element method, can improve computational accuracy and convergence greatly. 展开更多
关键词 thin plate bending numerical manifold method compatible element 16-cover manifold element
暂未订购 下载PDF
Multiresolution method for bending of plates with complex shapes 认领 引用 被引量：2
7
作者 Jizeng WANG Yonggu FENG +2 位作者 Cong XU Xiaojing LIU Youhe ZHOU 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2023年第4期561-582,共22页
A high-accuracy multiresolution method is proposed to solve mechanics problems subject to complex shapes or irregular domains.To realize this method,we design a new wavelet basis function,by which we construct a fifth... A high-accuracy multiresolution method is proposed to solve mechanics problems subject to complex shapes or irregular domains.To realize this method,we design a new wavelet basis function,by which we construct a fifth-order numerical scheme for the approximation of multi-dimensional functions and their multiple integrals defined in complex domains.In the solution of differential equations,various derivatives of the unknown function are denoted as new functions.Then,the integral relations between these functions are applied in terms of wavelet approximation of multiple integrals.Therefore,the original equation with derivatives of various orders can be converted to a system of algebraic equations with discrete nodal values of the highest-order derivative.During the application of the proposed method,boundary conditions can be automatically included in the integration operations,and relevant matrices can be assured to exhibit perfect sparse patterns.As examples,we consider several second-order mathematics problems defined on regular and irregular domains and the fourth-order bending problems of plates with various shapes.By comparing the solutions obtained by the proposed method with the exact solutions,the new multiresolution method is found to have a convergence rate of fifth order.The solution accuracy of this method with only a few hundreds of nodes can be much higher than that of the finite element method(FEM)with tens of thousands of elements.In addition,because the accuracy order for direct approximation of a function using the proposed basis function is also fifth order,we may conclude that the accuracy of the proposed method is almost independent of the equation order and domain complexity. 展开更多
关键词 multiresolution generalized Coiflet wavelet integral collocation method irregular domain complex shape high accuracy plate bending
暂未订购 下载PDF
BIMORPH-TYPE PIEZOELECTRIC THIN FILM BENDING ACTUATORS SYNTHESIZED BY HYDROTHERMAL METHOD 认领 引用 被引量：1
8
作者 DuLiqun AraiFumihito +1 位作者 FukudaToshio KwonGuiryong 《Chinese Journal of Mechanical Engineering》 EI CAS 2004年第2期226-229,共4页
Lead zirconate titanium solid-solution (PZT) thin films with variousthickness are synthesized on titanium substrates by repeated hydrothermal treatments. Young modulus,electric-field-induced displacement and the densi... Lead zirconate titanium solid-solution (PZT) thin films with variousthickness are synthesized on titanium substrates by repeated hydrothermal treatments. Young modulus,electric-field-induced displacement and the density of the PZT film are measured respectively.Bimorph- type bending actuators are fabricated using these films. The model, which is used toanalyze the driving ability of bimorph-type bending actuators by hydrothermal method, is set up. Itcan be seen that the driving ability of bimorph-type bending actuators can be greatly improved byoptimizing the thickness of PZT thin film and substrate from the theoretical analysis results. Themeasured values are expected to agree with the theoretical values calculated by the above model. 展开更多
关键词 Driving ability Bimorph-type bending actuators Hydrothermal method Piezoelectric thin film
暂未订购 下载PDF
Unified Solution Method of Rectangular Plate Elastic Bending 认领 引用 被引量：12
9
作者 许琪楼 姬同庚 +2 位作者 姜锐 唐国明 姬鸿恩 《Journal of Southeast University(English Edition)》 CAS 2002年第3期241-248,共8页
The bending of rectangular plate is divided into the generalized statically determinate bending and the generalized statically indeterminate bending based on the analysis of the completeness of calculating condition a... The bending of rectangular plate is divided into the generalized statically determinate bending and the generalized statically indeterminate bending based on the analysis of the completeness of calculating condition at the corner point. The former can be solved directly by the equilibrium differential equation and the boundary conditions of four edges of the plate. The latter can be solved by using the superposition principle. Making use of the recommended method, the bending of the plate with all kinds of... 展开更多
关键词 bending of elastic thin plate rectangular plate unified solution method
暂未订购 下载PDF
A Numerical-analytic Method for Quickly Predicting Springback of Numerical Control Bending of Thin-walled Tube 认领 引用 被引量：5
10
作者 Mei ZHAN He YANG Liang HUANG 《Journal of Materials Science & Technology》 SCIE EI CAS 2006年第5期713-720,共8页
Springback is one of important factors influencing the forming quality of numerical control （NC） bending of thin-walled tube. In this paper, a numerical-analytic method for springback angle prediction of the process... Springback is one of important factors influencing the forming quality of numerical control （NC） bending of thin-walled tube. In this paper, a numerical-analytic method for springback angle prediction of the process was put forward. The method is based on springback angle model derived using analytic method and simulation results from three-dimensional （3D） rigid-plastic finite element method （FEM）. The method is validated through comparison with experimental results. The features of the method are as follows： （1） The method is high in efficiency because it combines advantages of rigid-plastic FEM and analytic method. （2） The method is satisfactory in accuracy, since the field variables used in the model is resulting from 3D rigid-plastic FEM solution, and the effects both of axial force and strain neutral axis shift have been included. （3） Research on multi-factor effects can be carried out using the method due to its advantage inheriting from rigid-plastic FEM. The method described here is also of general significance to other bending processes. 展开更多
关键词 Thin-walled tube Numerical control bending Springback Numerical-analytic method 3D rigid-plastic FEM
暂未订购 下载PDF
Comparison study on calculation methods of bending behavior of Chinese reinforced concrete beams from 1912 to 1949 认领 引用 被引量：3
11
作者 淳庆 Van Balen Koenraad 韩宜丹 《Journal of Southeast University(English Edition)》 EI CAS 2015年第4期529-534,共6页
In order to study the calculation methods of bending behavior of Chinese reinforced concrete beams from 1912 to 1949, tests on the mechanical performance of 66 rebars from different modem Chinese concrete buildings, t... In order to study the calculation methods of bending behavior of Chinese reinforced concrete beams from 1912 to 1949, tests on the mechanical performance of 66 rebars from different modem Chinese concrete buildings, the concrete compressive strength of 12 modem Chinese concrete buildings, and the concrete cover thickness of 9 modem Chinese concrete buildings are carried out; and the actual material properties and structural conformations of modem Chinese concrete buildings are obtained. Then, the comparison on calculation methods of bending behavior including the original Chinese calculation method, the present Chinese calculation method, the present American calculation method and the present European calculation method is studied. The results show that the original Chinese calculation method of bending behavior is based on the allowable stress calculation method, and the design safety factors are 3.55 to 4. 0. In term of the calculation area of longitudinal rebars of reinforced concrete beams, without considering earthquake action, the original Chinese structural calculation method is safer than the present Chinese structural calculation method, the present European structural calculation method, and the present American structural calculation method. The results can provide support for the structural safety assessments of modem Chinese reinforced concrete buildings. 展开更多
关键词 reinforced concrete beam the Republic of China era from 1912 to 1949 bending behavior calculation method comparative study
暂未订购 下载PDF
Theoretical Prediction of the Bending Stiffness of Reinforced Thermoplastic Pipes Using a Homogenization Method 认领 引用 被引量：2
12
作者 LIU Wencheng WANG Shuqing +1 位作者 BU Jiarun DING Xindong 《Journal of Ocean University of China》 SCIE CAS CSCD 2022年第6期1441-1453,共13页
The accurate prediction of bending stiffness is important to analyze the buckling and vibration behavior of reinforced thermoplastic pipes(RTPs)in practical ocean engineering.In this study,a theoretical method in whic... The accurate prediction of bending stiffness is important to analyze the buckling and vibration behavior of reinforced thermoplastic pipes(RTPs)in practical ocean engineering.In this study,a theoretical method in which the constitutive relationships between orthotropic and isotropic materials are unified under the global cylindrical coordinate system is proposed to predict the bending stiffness of RTPs.Then,the homogenization assumption is used to replace the multilayered cross-sections of RTPs with homogenized ones.Different from present studies,the pure bending case of homogenized RTPs is analyzed,considering homogenized RTPs as hollow cylindrical beams instead of using the stress functions proposed by Lekhnitskii.Therefore,the bending stiffness of RTPs can be determined by solving the homogenized axial elastic moduli and moment of inertia of cross sections.Compared with the existing theoretical method,the homogenization method is more practical,universal,and computationally stable.Meanwhile,the pure bending case of RTPs was simulated to verify the homogenization method via conducting ABAQUS Explicit quasi-static analyses.Compared with the numerical and existing theoretical methods,the homogenization method more accurately predicts the bending stiffness and stress field.The stress field of RTPs and the effect of winding angles are also discussed. 展开更多
关键词 reinforced thermoplastic pipes bending stiffness pure bending case homogenization assumption stress analysis
暂未订购 下载PDF
A FINITE DIFFERENCE METHOD AT ARBITRARY MESHES FOR THE BENDING OF PLATES WITH VARIABLE THICKNESS 认领 引用 被引量：1
13
作者 李光耀 周汉斌 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1993年第3期299-304,共6页
A finite difference method at arbitrary meshes for the bending of plates with variable thickness is presented in this paper. The method is completely general with respect to various boundary conditions, load cases and... A finite difference method at arbitrary meshes for the bending of plates with variable thickness is presented in this paper. The method is completely general with respect to various boundary conditions, load cases and shapes of plates. This difference scheme is simple and the numerical results agree well with those obtained by other methods. 展开更多
关键词 plate bending finite difference method
暂未订购 下载PDF
Method for Predicting the Fatigue Life of Geometrically Discontinuous Structures Under Combined Bending and Torsion 认领 引用 被引量：2
14
作者 Jianhui Liu Xuemei Pan +1 位作者 Yaobing Wei Youliang Wang 《Acta Mechanica Solida Sinica》 SCIE EI CSCD 2019年第3期367-377,共11页
The fatigue damage model based on theory of damage mechanics is capable of predicting the fatigue life under multiaxial loading.Meanwhile,the application of critical plane method in the prediction of multiaxial fatigu... The fatigue damage model based on theory of damage mechanics is capable of predicting the fatigue life under multiaxial loading.Meanwhile,the application of critical plane method in the prediction of multiaxial fatigue life has made certain progress.According to the law of thermodynamics,a new damage evolution equation is developed in the present study to predict the fatigue life of geometrically discontinuous structure under tension-torsion loading based on damage mechanics and the critical plane method.The essence of this approach is tha t the st rain parame ter of the uniaxial nonlinear fatigue damage model is replaced with the equivalent strain,which consists of the releva nt parame ters of the critical plane.However,it is difficult to calculate the stress-strain status and the critical plane position of geometrically dis?continuous structure by theoretical methods because of the existence of stress concentration and the multiaxial nonproportional characteristics.Therefore,a new numerical simulation method is proposed to determine the critical plane of geometrically discontinuous structure under multiaxial loading by means of the finite element method and MATLAB software.The fatigue life of notched specimens subjected to combined bending and torsion is predicted using the proposed met hod,and the result is compared with t hose from the experimen ts and the Manson-Cfiffin law.The comparisons show that the proposed method is superior to the Manson-Coffin law and is capable of reproducing the experimental results reasonably when the geometry of the structure is complex.It completely meets the needs of engineering practice. 展开更多
关键词 Damage mechanics Critical plane method Geometrically discontinuous structure Finite element method
暂未订购 下载PDF
Numerical analysis of bending property of bi-modulus materials and a new method for measurement of tensile elastic modulus 认领 引用 被引量：1
15
作者 Tianmin Wang Jianhong Ye 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE CSCD 2023年第10期2539-2555,共17页
In nature,there are widely distributed bi-modulus materials with different deformation characteristics under compressive and tensile stress states,such as concrete,rock and ceramics.Due to the lack of constitutive mod... In nature,there are widely distributed bi-modulus materials with different deformation characteristics under compressive and tensile stress states,such as concrete,rock and ceramics.Due to the lack of constitutive model that could reasonably consider the bi-modulus property of materials,and the lack of simple and reliable measurement methods for the tensile elastic parameters of materials,scientists and engineers always neglect the effect of the bi-modulus property of materials in engineering design and numerical simulation.To solve this problem,this study utilizes the uncoupled strain-driven constitutive model proposed by Latorre and Montáns(2020)to systematically study the distributions and magnitudes of stresses and strains of bi-modulus materials in the three-point bending test through the numerical method.Furthermore,a new method to synchronously measure the tensile and compressive elastic moduli of materials through the four-point bending test is proposed.The numerical results show that the bi-modulus property of materials has a significant effect on the stress,strain and displacement in the specimen utilized in the three-point and four-point bending tests.Meanwhile,the results from the numerical tests,in which the elastic constitutive model proposed by Latorre and Montáns(2020)is utilized,also indicate that the newly proposed measurement method has a good reliability.Although the new measurement method proposed in this study can synchronously and effectively measure the tensile and compressive elastic moduli,it cannot measure the tensile and compressive Poisson’s ratios. 展开更多
关键词 Bi-modulus material Uncoupled strain-driven constitutive model Three-point bending test Four-point bending test Tensile elastic modulus FssiCAS
暂未订购 下载PDF
A Light and Simplified Branch Bending Method for Young Pear Trees 认领 引用 被引量：1
16
作者 Jintao XU Longfei LI +3 位作者 Minghui JI Huan LIU Lijuan GAO Baofeng HAO 《Plant Diseases and Pests》 2024年第2期19-21,共3页
Aiming at high cost and low efficiency of conventional branch bending method in the modern intensive planting and labor-saving cultivation mode of young pear trees,this paper provides a new branch bending method with ... Aiming at high cost and low efficiency of conventional branch bending method in the modern intensive planting and labor-saving cultivation mode of young pear trees,this paper provides a new branch bending method with wide source of raw materials,cheap price and simple operation,which is also suitable for the management of low-age branches in the process of high grafting and upgrading of traditional big trees. 展开更多
关键词 Pear tree Light and simplified Branch bending Method
暂未订购 下载PDF
A SOLVING METHOD FOR A SYSTEM OF PARTIAL DIFFERENTIAL EQUATIONS WITH AN APPLICATION TO THE BENDING PROBLEM OF A THICK PLATE 认领 引用
17
作者 尹益辉 陈刚 陈裕泽 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1999年第11期1259-1265,共7页
A theorem of solving a system of linear non-homogeneous differential equations through integrating and adding its basic solutions is put forward and proved, the mathematical role and physical nature of the theorem is ... A theorem of solving a system of linear non-homogeneous differential equations through integrating and adding its basic solutions is put forward and proved, the mathematical role and physical nature of the theorem is interpreted briefly. As an example, the theorem is applied to solve the problem of thermo-force bending of a thick plate. 展开更多
关键词 partial differential equations integrating method thick plate thermo-force bending
暂未订购 下载PDF
Method of Semi Analytic Perturbation Weighted Residuals for Nonlinear Bending of Shallow Shells 认领 引用
18
作者 李云飞 黄怡筠 《Journal of Beijing Institute of Technology》 EI CAS 2000年第1期15-19,共5页
The semi? analytic perturbation weighted residuals method was used to solve the nonlinear bending problem of shallow shells, and the fifth order B spline was taken as trial function to seek an efficient method for non... The semi? analytic perturbation weighted residuals method was used to solve the nonlinear bending problem of shallow shells, and the fifth order B spline was taken as trial function to seek an efficient method for nonlinear bending problem of shallow shells. The results from the present method are in good agreement with those derived from other methods. The present method is of higher accuracy, lower computing time and wider adaptability. In addition, the design of computer program is simple and it is easy to be programmed. 展开更多
关键词 shallow shell nonlinear bending perturbation method weighted residuals method spline function
暂未订购 下载PDF
HOMOGENIZATION-BASED METHOD FOR BENDING ANALYSIS OF PERFORATED PLATE 认领 引用
19
作者 Liu Shutian Cheng Gengdong Gu Yuanxian 《Acta Mechanica Solida Sinica》 SCIE 1998年第2期172-179,共8页
Owing to the existence of distributed holes, it is difficult tosolve the bending problem of perforated plates by the conventionalfinite element method. A homogenization-based method for this problemis presented in thi... Owing to the existence of distributed holes, it is difficult tosolve the bending problem of perforated plates by the conventionalfinite element method. A homogenization-based method for this problemis presented in this paper. As an example, the bending analysis of acircular perforated plate with distributed step-wise cylindricalholes is made. The deflection and the fundamental frequen- cyobtained by present method are in good agreement with experimentaldata, this implies that the method is effective. 展开更多
关键词 perforated plate bending analysis homogenization-based method
暂未订购 下载PDF
MULTIPLE RECIPROCITY METHOD WITH TWO SERIES OF SEQUENCES OF HIGH-ORDER FUNDAMENTAL SOLUTION FOR THIN PLATE BENDING 认领 引用
20
作者 丁方允 丁睿 李炳杰 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2003年第12期1431-1440,共10页
The boundary value problem of plate bending problem on two_parameter foundation was discussed.Using two series of the high_order fundamental solution sequences, namely, the fundamental solution sequences for the multi... The boundary value problem of plate bending problem on two_parameter foundation was discussed.Using two series of the high_order fundamental solution sequences, namely, the fundamental solution sequences for the multi_harmonic operator and Laplace operator, applying the multiple reciprocity method(MRM), the MRM boundary integral equation for plate bending problem was constructed. It proves that the boundary integral equation derived from MRM is essentially identical to the conventional boundary integral equation. Hence the convergence analysis of MRM for plate bending problem can be obtained by the error estimation for the conventional boundary integral equation. In addition, this method can extend to the case of more series of the high_order fundamental solution sequences. 展开更多
关键词 plate bending problem multiple reciprocity method boundary integral equation high-order fundamental solution sequence
暂未订购 下载PDF
已选0条
引用分析
参考文献
引证文献
 统计分析
检索结果
已选文献
上一页 1 2 … 250 下一页 到第 页
在线咨询 使用帮助 返回顶部 意见反馈