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Boundary control of an uncertain rotating body-beam system with tip mass and input backlash 认领 引用
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作者 Fuzhuang Han Mingli Cui +1 位作者 Yang Yu Hai-Long Pei 《Control Theory and Technology》 EI CSCD 2026年第1期1-9,共9页
In this paper,we study the issue of controlling a rotating flexible body-beam system(RFBBS)which consists of a tip mass attached to the free-end and a rigid disk attached to the clamped-end of an Euler-Bernoulli beam.... In this paper,we study the issue of controlling a rotating flexible body-beam system(RFBBS)which consists of a tip mass attached to the free-end and a rigid disk attached to the clamped-end of an Euler-Bernoulli beam.The boundary control input is affected by both unknown disturbance and nonlinear input backlash.First,the input backlash is considered as desired control input combined with a nonlinear input error,converting it to an external disturbance,and then,the control signal is designed through the energy-based control method.Next,the closed-loop system’s stability is analysed through Lyapunov direct method.Finally,the efficacy of the proposed control scheme is tested through numerical simulations utilizing the finite difference method. 展开更多
关键词 Rotating body-beam Boundary control Input backlash Lyapunov direct method Unknown disturbance
Grazing bifurcation analysis of a relative rotation system with backlash non-smooth characteristic 认领 引用 被引量:4
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作者 刘爽 王兆龙 +2 位作者 赵双双 李海滨 李建雄 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第7期279-287,共9页
Grazing bifurcation of a relative rotation system with backlash non-smooth characteristic is studied along with the change of the external excitation in this paper. Considering the oil film, backlash, time-varying sti... Grazing bifurcation of a relative rotation system with backlash non-smooth characteristic is studied along with the change of the external excitation in this paper. Considering the oil film, backlash, time-varying stiffness and time-varying error, the dynamical equation of a relative rotation system with a backlash non-smooth characteristic is deduced by applying the elastic hydrodynamic lubrication(EHL) and the Grubin theories. In the process of relative rotation, the occurrence of backlash will lead to the change of dynamic behaviors of the system, and the system will transform from the meshing state to the impact state. Thus, the zero-time discontinuous mapping(ZDM) and the Poincare mapping are deduced to analyze the local dynamic characteristics of the system before as well as after the moment that the backlash appears(i.e.,the grazing state). Meanwhile, the grazing bifurcation mechanism is analyzed theoretically by applying the impact and Floquet theories. Numerical simulations are also given, which confirm the analytical results. 展开更多
关键词 relative rotation system backlash grazing bifurcation zero-time discontinuous mapping
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Robust adaptive precision motion control of tank horizontal stabilizer based on unknown actuator backlash compensation 认领 引用 被引量:5
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作者 Shu-Sen Yuan Wen-Xiang Deng +1 位作者 Jian-Yong Yao Guo-Lai Yang 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2023年第2期72-83,共12页
Backlash nonlinearity inevitably exists in the actuator of tank horizontal stabilizer and has adverse effect on the system control performance,however,how to effectively eliminate its effect remains a pending issue.To... Backlash nonlinearity inevitably exists in the actuator of tank horizontal stabilizer and has adverse effect on the system control performance,however,how to effectively eliminate its effect remains a pending issue.To solve this problem,a robust adaptive precision motion controller is presented in this paper to address uncertainties and unknown actuator backlash of tank horizontal actuator.The controller handles the modeling uncertainties including parameter uncertainties and unmodeled disturbances by integrating adaptive feedforward compensation and continuous nonlinear robust law.Based on the backstepping method,a smooth backlash inverse model is constructed by combining the adaptive idea.Meanwhile,the unknown backlash parameters of the system can be approximated through the parameter adaptation,and the impact of the actuator backlash nonlinearity is effectively compensated via the inverse operation,which can availably improve the tracking performance.Moreover,the adaptive law can update the disturbance ranges of tank horizontal stabilizer online in real time,which enhances the feasibility in practical engineering applications.Furthermore,the stability analysis based on Lyapunov function shows that with the existence of unmodeled disturbances and unknown actuator backlash,the designed controller guarantees excellent asymptotic output tracking performance.Extensive comparative results verify the effectiveness of the proposed control strategy. 展开更多
关键词 Tank Horizontal stabilizer Adaptive control Robust control Backlash inverse
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Nonlinear robust adaptive control for bidirectional stabilization system of all-electric tank with unknown actuator backlash compensation and disturbance estimation 认领 引用 被引量:3
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作者 Shusen Yuan Wenxiang Deng +1 位作者 Jianyong Yao Guolai Yang 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2024年第2期144-158,共15页
Since backlash nonlinearity is inevitably existing in actuators for bidirectional stabilization system of allelectric tank,it behaves more drastically in high maneuvering environments.In this work,the accurate trackin... Since backlash nonlinearity is inevitably existing in actuators for bidirectional stabilization system of allelectric tank,it behaves more drastically in high maneuvering environments.In this work,the accurate tracking control for bidirectional stabilization system of moving all-electric tank with actuator backlash and unmodeled disturbance is solved.By utilizing the smooth adaptive backlash inverse model,a nonlinear robust adaptive feedback control scheme is presented.The unknown parameters and unmodelled disturbance are addressed separately through the derived parametric adaptive function and the continuous nonlinear robust term.Because the unknown backlash parameters are updated via adaptive function and the backlash effect can be suppressed successfully by inverse operation,which ensures the system stability.Meanwhile,the system disturbance in the high maneuverable environment can be estimated with the constructed adaptive law online improving the engineering practicality.Finally,Lyapunov-based analysis proves that the developed controller can ensure the tracking error asymptotically converges to zero even with unmodeled disturbance and unknown actuator backlash.Contrast co-simulations and experiments illustrate the advantages of the proposed approach. 展开更多
关键词 Bidirectional stabilization system Robust control Adaptive control Backlash inverse Disturbance estimation
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Predictive control for mechanical system with backlash based on hybrid model 认领 引用 被引量:3
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作者 Dou Lihua Dong Lingxun +1 位作者 Chen Jie Xia Yuanqing 《Journal of Systems Engineering and Electronics》 SCIE EI 2009年第6期1301-1308,共8页
The mechanical system with backlash is distinguished between a"backlash mode"and a"contact mode".The inherent switching between the two operating modes makes the system a prime example of hybrid sy... The mechanical system with backlash is distinguished between a"backlash mode"and a"contact mode".The inherent switching between the two operating modes makes the system a prime example of hybrid system.For eliminating the bad effect of backlash,a piecewise affine(PWA)model of the mechanical servo system with backlash is built.The optimal control of constrained PWA system is obtained by taking advantage of model predictive control(MPC)method,and the explicit solution of MPC in a look-up table form is figured out by combining the dynamic programming and multi-parametric quadratic programming,thereby establishing an explicit hybrid model predictive controller.Furthermore,a piecewise quadratic(PWQ)function for guaranteeing the stability of closed-loop control is found by formulating the search of PWQ function as a semi-definite programming problem.In the tracking experiments,it is demonstrated that the explicit hybrid model predictive controller has a good traction control effect on the mechanical system with backlash.The error meets the demands of real system.Further,compared to the direct on-line computation,the computation burden is reduced by the explicit solution,thereby being suitable for real-time control of system with short sampling time. 展开更多
关键词 predictive controller hybrid model hybrid control backlash mode.
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基于Backlash描述函数的神经网络迟滞非线性模型 认领 引用 被引量:1
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作者 赵彤 翟亚伟 禹小姣 《青岛科技大学学报(自然科学版)》 CAS 北大核心 2012年第3期315-320,共6页
利用Backlash描述函数的实部和虚部构造一个函数,将其进行叠加,从而建立了一个新颖的迟滞非线性模型。以所建模型的输出作为神经网络的输入信号之一,建立了一个神经网络迟滞模型。实验结果验证了所提模型的有效性。
关键词 Backlash描述函数 迟滞非线性 神经网络
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Adaptive Nonlinear PID Control and Rule-Based Compensation for Systems with Backlash 认领 引用 被引量:1
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作者 任雪梅 李岩 龚至豪 《Journal of Beijing Institute of Technology》 EI CAS 2000年第2期195-200,共6页
The control of dynamic nonlinear systems with unknown backlash was considered. By using an efficient approach to estimate the unknown backlash parameters, a rule? based backlash compensator was presented for canceling... The control of dynamic nonlinear systems with unknown backlash was considered. By using an efficient approach to estimate the unknown backlash parameters, a rule? based backlash compensator was presented for canceling the effect of backlash. Adaptive nonlinear PID controller together with rule? based backlash compensator was developed and a satisfactory tracking performance was achieved. Simulation results demonstrated the effectiveness of the proposed method. 展开更多
关键词 nonlinear systems adaptive nonlinear PID control backlash
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Backlash analysis of a new planetary gearing with internal gear ring 认领 引用 被引量:2
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作者 朱才朝 肖宁 《Journal of Chongqing University》 2010年第3期151-158,共8页
Due to low carrying capacity and short life of current ring reducer,we proposed a new planetary gearing with internal gear ring,which consisted of two stages.One was an involute planetary drive and the other was an N-... Due to low carrying capacity and short life of current ring reducer,we proposed a new planetary gearing with internal gear ring,which consisted of two stages.One was an involute planetary drive and the other was an N-type planetary drive with small teeth difference.The kinematic calculation was conducted based on the analysis of structural composition and working principle.Formulas of backlash calculation for the new planetary gearing were derived by using probabilistic theory and the analytical model was created at the same time.Then,main factors that affect the systematic backlash were introduced and the effects of manufacture error,misaligments and roller bearing parameters on the distribution of backlash were presented.The influence of gear backlash on systematic return difference was performed based on the backlash mathematic model proposed.The results show that the backlash is a little large,of which the backlash of bearing takes a greater part than two gearing stages.So we presented some practical methods to reduce the systematic backlash. 展开更多
关键词 planetary gearing with intemal gear ring probabilistic theory return difference gear backlash
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Backlash Nonlinear Compensation of Servo Systems Using Backpropagation Neural Networks 认领 引用 被引量:3
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作者 何超 徐立新 张宇河 《Journal of Beijing Institute of Technology》 EI CAS 1999年第3期300-305,共6页
Aim To eliminate the influences of backlash nonlinear characteristics generally existing in servo systems, a nonlinear compensation method using backpropagation neural networks(BPNN) is presented. Methods Based on som... Aim To eliminate the influences of backlash nonlinear characteristics generally existing in servo systems, a nonlinear compensation method using backpropagation neural networks(BPNN) is presented. Methods Based on some weapon tracking servo system, a three layer BPNN was used to off line identify the backlash characteristics, then a nonlinear compensator was designed according to the identification results. Results The simulation results show that the method can effectively get rid of the sustained oscillation(limit cycle) of the system caused by the backlash characteristics, and can improve the system accuracy. Conclusion The method is effective on sloving the problems produced by the backlash characteristics in servo systems, and it can be easily accomplished in engineering. 展开更多
关键词 servo system backlash nonlinear characteristics limit cycle backpropagation neural networks(BPNN) compensation methods
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Backlash Error Measurement and Compensation on the Vertical Machining Center 认领 引用
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作者 Huanlao Liu Xiaoning Xue Guangyu Tan 《Engineering(科研)》 2010年第6期403-407,共5页
The position errors in the axis direction of a vertical machine center have been measured by means of the VM101 linear encored measurement system. The character of the backlash error is discussed;results show that the... The position errors in the axis direction of a vertical machine center have been measured by means of the VM101 linear encored measurement system. The character of the backlash error is discussed;results show that the backlash error has great influence on the position error. The position accuracy is enhanced after the backlash errors are compensated. 展开更多
关键词 Position Error Backlash Error Error Model Artificial Neural Network
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考虑齿面微观形貌的磨损齿轮动态响应特性研究 认领 引用 被引量:1
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作者 孟凡善 易文浩 +2 位作者 张新 靳玉林 王家序 《机械传动》 北大核心 2026年第3期142-153,共12页
【目的】为探究齿面微观形貌对齿轮接触情况及运行状态的影响,开展各向异性三维粗糙齿面下的磨损速率及动态响应特性研究。【方法】首先,基于分形几何理论建立了各向异性三维微观粗糙齿面;其次,根据Archard理论计算微观粗糙齿面在不同... 【目的】为探究齿面微观形貌对齿轮接触情况及运行状态的影响,开展各向异性三维粗糙齿面下的磨损速率及动态响应特性研究。【方法】首先,基于分形几何理论建立了各向异性三维微观粗糙齿面;其次,根据Archard理论计算微观粗糙齿面在不同转速和不同工作时长下的非均匀磨损情况,将齿面磨损深度与齿轮尺寸参数相结合,求解磨损轮齿啮合时的时变啮合刚度和时变齿隙,并将其作为齿轮传动系统动力学模型的内激励输入参数;最后,采用变步长Runge-Kutta算法求解动力学微分方程,得到齿轮传动系统的动力学响应特性。【结果】结果表明,在齿面粗糙度相同时,随着齿轮转速、工作时长的增加,齿面磨损深度和齿侧间隙逐渐增大,时变啮合刚度逐渐减小;在考虑齿面微观形貌的齿轮传动系统中,随着转速的变化,齿轮传动系统表现出丰富的动态响应特性;随着工作时长的增加,齿轮传动系统的动态传递误差增大,系统整体动态响应由周期运动状态趋向于混沌运动状态,进而表现为混沌振动,这将不利于系统的平稳运行;对于处于混沌运动状态的磨损齿轮,改变转矩或转速后,齿轮传动系统由混沌运动状态转变为较为稳定的周期运动状态。 展开更多
关键词 三维粗糙齿面 磨损 时变啮合刚度 齿侧间隙 动态响应特性
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无侧隙端面滚子包络蜗杆传动啮合性能分析 认领 引用
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作者 王凯 豆晨阳 陈永洪 《机械传动》 北大核心 2026年第3期132-141,153,共10页
【目的】滚子包络环面蜗杆传动在数控转台中应用广泛,但存在误差敏感性高、负压力角齿面安装困难等问题。为此,提出一种无侧隙端面滚子包络蜗杆传动副,通过一侧传递运动、一侧消隙的啮合方式实现无侧隙传动,旨在提升数控转台的传动精度... 【目的】滚子包络环面蜗杆传动在数控转台中应用广泛,但存在误差敏感性高、负压力角齿面安装困难等问题。为此,提出一种无侧隙端面滚子包络蜗杆传动副,通过一侧传递运动、一侧消隙的啮合方式实现无侧隙传动,旨在提升数控转台的传动精度与承载能力。【方法】首先,基于空间啮合理论和微分几何,建立了无侧隙端面滚子包络蜗杆传动副的数学模型;其次,推导了啮合方程、接触线、齿面方程、诱导法曲率、润滑角与相对卷吸速度等啮合性能参数的数学表达式;最后,利用Matlab软件分析了传动副几何参数对啮合性能的影响规律,并验证了所提设计方法的正确性。【结果】研究结果表明,该传动副的理论啮合齿对数为5对,具有较高的承载能力。其中,3对以上啮合齿对的润滑角保持在85°左右,润滑性能良好;诱导法曲率低于0.25 mm-1,说明蜗轮蜗杆共轭齿面贴合度较高。该设计为高精度数控转台蜗杆传动系统的研发提供了参考。 展开更多
关键词 端面滚子 包络蜗杆 无侧隙啮合 啮合性能
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Modeling and analysis of steady-state vibration induced by backlash in servo rotary table 认领 引用
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作者 Xiao YANG Dun LU +2 位作者 Sanli LIU Jun ZHANG Wanhua ZHAO 《Frontiers of Mechanical Engineering》 CSCD 2015年第1期43-47,共5页
Backlash cannot be always avoided in mechanical systems because of wear or looseness.Steady-state vibration may be induced by backlash in closed loop feed drive systems.This paper presents a mathematical model ofa ser... Backlash cannot be always avoided in mechanical systems because of wear or looseness.Steady-state vibration may be induced by backlash in closed loop feed drive systems.This paper presents a mathematical model ofa servo rotary table,considering the effect of backlash.The accuracy of this model is verified by an experiment.The influences of the parameters,such as position controller gain,velocity controller gain,load and the magnitude of backlash,on steady-state vibration are discussed.The steady-state vibration amplitude increases with the position controller gain,load and the magnitude of backlash.The steady-state vibration fre-quency increases with the position controller gain and the velocity controller gain,while an increase in load leads to a decrease in the frequency. 展开更多
关键词 backlash servo rotary table steady-statevibration
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一种变导程变厚度媒介齿条的蜗杆传动研究 认领 引用
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作者 程致梁 李明旭 《机械设计与制造》 北大核心 2026年第6期255-261,共7页
本研究在传统蜗杆传动设计的基础上,提出了一种由双导程渐开线圆柱蜗杆(IHB)和渐开线斜齿轮(DIC)组成的新型齿隙可调蜗杆传动。给出了基于变导程变厚度媒介齿条蜗杆传动的设计准则,建立了新型蜗杆传动的数学模型和几何原理,提出了基于... 本研究在传统蜗杆传动设计的基础上,提出了一种由双导程渐开线圆柱蜗杆(IHB)和渐开线斜齿轮(DIC)组成的新型齿隙可调蜗杆传动。给出了基于变导程变厚度媒介齿条蜗杆传动的设计准则,建立了新型蜗杆传动的数学模型和几何原理,提出了基于变导程变厚度媒介齿条的蜗杆传动啮合性能分析方法,并提出了齿隙可调的分析方法,最后通过齿面接触分析(TCA)和有限元仿真验证了所提蜗杆传动设计方法的合理性。该理论研究为新型齿隙可调蜗杆传动的进一步分析和应用提供了理论支持。 展开更多
关键词 蜗杆传动 双导程 啮合性能 齿隙调整
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轨道交通列车牵引斜齿轮副异侧齿面几何差异分析 认领 引用
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作者 苟向锋 李慧杰 《机械传动》 北大核心 2026年第5期33-41,共9页
【目的】分析轨道交通列车牵引斜齿轮副异侧齿面几何差异对接触线长度与啮合性能的影响,揭示列车上、下行工况下牵引齿轮箱传动性能差异的形成机制,弥补现有研究未考虑斜齿轮异侧齿面几何差异的不足。【方法】首先,定义异侧齿面几何差... 【目的】分析轨道交通列车牵引斜齿轮副异侧齿面几何差异对接触线长度与啮合性能的影响,揭示列车上、下行工况下牵引齿轮箱传动性能差异的形成机制,弥补现有研究未考虑斜齿轮异侧齿面几何差异的不足。【方法】首先,定义异侧齿面几何差异角并推导其计算式,为齿背接触线长度的定量分析提供参数基础;其次,结合齿背接触面特性与异侧齿面几何差异,建立齿背接触线长度计算式,探究异侧齿面几何差异和齿侧间隙对其耦合影响规律;然后,构建计入异侧齿面几何差异的斜齿轮副多状态啮合动力学模型,完成模型的无量纲归一化处理;最后,通过数值计算开展系统动力学特性分析,明确不同啮合频率下的系统运动特征。【结果】结果表明,异侧齿面几何差异使齿面与齿背的接触线长度存在显著相位差,且齿侧间隙对齿背接触线长度的影响随间隙值增大而增大;无量纲啮合频率ω<0.33时,系统保持稳定单周期运动,无轮齿脱啮现象;0.33≤ω≤0.37时,系统出现短暂齿背接触现象;啮合频率升高后,齿背接触现象完全消失,系统出现齿面碰撞与轮齿脱啮现象。异侧齿面几何差异对频繁换向的斜齿轮副动态特性存在显著影响,相关分析结果可为轨道交通列车牵引齿轮副的设计优化提供参考。 展开更多
关键词 斜齿轮副 异侧齿面几何差异 齿背接触线 齿侧间隙 多状态啮合
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基于水面自动跟踪的模型水位测量设备研制与应用 认领 引用
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作者 万浩平 《传感器与微系统》 北大核心 2026年第4期17-23,共7页
针对大型水工、河工、港工室外模型试验无合适水位自动测量设备现状,设计开发了一种测针式精密数字水位仪。仪器基于测针上下运动自动跟踪水面实现水位的测量,采用了主机与传感器一体式结构设计,设计了入水检测电路,解决了测针极化、水... 针对大型水工、河工、港工室外模型试验无合适水位自动测量设备现状,设计开发了一种测针式精密数字水位仪。仪器基于测针上下运动自动跟踪水面实现水位的测量,采用了主机与传感器一体式结构设计,设计了入水检测电路,解决了测针极化、水体存在电导率可能引起的测量误差,楔形设计免维护消隙螺杆,预留无线通信自组网接口,为仪器大范围无线自主网通信提供了便利。经试验,仪器在300 mm量程范围内最大测量误差仅为0.01 mm,高于模型试验规范所要求的测量精度一个量级。仪器在赣江下游尾闾等大型物理模型进行了应用,运行稳定、可靠,具有较好的推广应用价值。 展开更多
关键词 室外模型 水位测量 测量精度 一体式结构 入水检测电路 消隙螺杆
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考虑间隙的齿轮-转子-磁轴承系统动力学特性分析 认领 引用
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作者 姚会君 王嘉尉 《内燃机与配件》 2026年第6期6-9,共4页
主动磁轴承作为高度非线性的机械元件,其非线性会对齿轮转子系统的动力学特性产生影响。基于此,本研究建立了考虑间隙的齿轮-转子-磁轴承系统动力学模型,研究了转速和名义气隙长度对系统振动响应的影响。结果表明,随着转速和名义气隙长... 主动磁轴承作为高度非线性的机械元件,其非线性会对齿轮转子系统的动力学特性产生影响。基于此,本研究建立了考虑间隙的齿轮-转子-磁轴承系统动力学模型,研究了转速和名义气隙长度对系统振动响应的影响。结果表明,随着转速和名义气隙长度的增加,齿轮转子系统的振动响应由周期性运动转变为非周期性运动。为避免系统产生非周期振动响应,在主动磁轴承应用于齿轮转子系统的实际场景中,应合理选择名义气隙长度的取值。 展开更多
关键词 齿轮-转子 主动磁轴承 间隙 非线性动力学
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赤裸生命、辩证反噬与终极救赎的可能——评毕飞宇《欢迎来到人间》 认领 引用
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作者 武斌斌 《写作》 2026年第1期70-77,共8页
毕飞宇的长篇小说《欢迎来到人间》从一桩纠纷切入,牵扯出了众多人物的“裸露”之境。身体与灵魂、命运与意图、两性关系,在压抑中相互纠缠并最终反噬自身。毕飞宇采取了一种冷静观察与理性分析的叙事姿态,高居瞭望之塔,在作品中寻求终... 毕飞宇的长篇小说《欢迎来到人间》从一桩纠纷切入,牵扯出了众多人物的“裸露”之境。身体与灵魂、命运与意图、两性关系,在压抑中相互纠缠并最终反噬自身。毕飞宇采取了一种冷静观察与理性分析的叙事姿态,高居瞭望之塔,在作品中寻求终极救赎,但是否找到了真正的救赎,还值得商榷。 展开更多
关键词 毕飞宇 《欢迎来到人间》 赤裸生命 辩证反噬 终极救赎
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齿轮-转子-磁轴承系统非线性动力学特性分析 认领 引用
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作者 姚会君 曹会娟 赵伟壮 《机械制造与自动化》 2026年第3期64-69,共6页
主动磁轴承作为高度非线性的机械元件,其非线性会对齿轮转子系统的动力学特性产生影响。建立考虑时变压力角和动态侧隙的齿轮-转子-磁轴承系统的动力学模型,研究转速、初始侧隙和名义气隙长度对系统振动响应的影响。结果表明:转速和名... 主动磁轴承作为高度非线性的机械元件,其非线性会对齿轮转子系统的动力学特性产生影响。建立考虑时变压力角和动态侧隙的齿轮-转子-磁轴承系统的动力学模型,研究转速、初始侧隙和名义气隙长度对系统振动响应的影响。结果表明:转速和名义气隙长度对系统振动特性有显著影响,即随着转速和名义气隙长度的增加,齿轮转子系统的响应由周期性转变为非周期性,在一定的取值范围内,初始侧隙对系统振动特性无显著影响。在确定由主动磁轴承支撑的齿轮转子系统的动态响应时,磁轴承的名义气隙长度比齿侧间隙更为重要。 展开更多
关键词 齿轮转子 主动磁轴承 非线性动力学 动态侧隙 时变压力角
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齿轮-转子-轴承耦合系统多状态啮合与脱啮占比特性研究 认领 引用 被引量:1
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作者 杨杏 石建飞 《机械科学与技术》 CSCD 北大核心 2026年第6期985-992,共8页
单双齿交替啮合与齿侧间隙的协同作用诱发轮齿不同位置的脱啮和齿背接触,影响齿轮传动品质和可靠性应用。为此,提出一种基于非线性振动的齿轮系统多状态啮合与脱啮占比的研究方法。综合考虑时变齿侧间隙、时变啮合刚度、齿面摩擦、时变... 单双齿交替啮合与齿侧间隙的协同作用诱发轮齿不同位置的脱啮和齿背接触,影响齿轮传动品质和可靠性应用。为此,提出一种基于非线性振动的齿轮系统多状态啮合与脱啮占比的研究方法。综合考虑时变齿侧间隙、时变啮合刚度、齿面摩擦、时变啮合位置等,建立含多状态啮合的渐开线直齿轮-转子-轴承耦合系统非线性动力学模型;引入多种类型的Poincaré映射,设计多状态啮合行为的有效辨识方法,提出系统在时域内正常啮合与脱啮占比的快速计算方法,分析误差幅值对系统多状态啮合行为、非线性振动和脱啮占比的影响特性,并探讨非线性振动与脱啮占比的内在关系。结果显示,本文参数条件下,系统出现不同类型的多状态啮合行为,多状态啮合和非线性振动对脱啮占比有重要的影响。 展开更多
关键词 齿轮-转子-轴承系统 时变齿侧间隙 脱啮占比 多状态啮合 非线性振动
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