含间隙曲柄滑块系统动力响应的随机性分析

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振动与冲击 ›› 2014, Vol. 33 ›› Issue (11) : 130-135.

论文

含间隙曲柄滑块系统动力响应的随机性分析

赵宽，陈建军，曹鸿钧，云永琥

作者信息 +

Randomness analysis of dynamic responses of slider-crank system with clearance

ZHAO Kuan, CHEN Jian-jun, CAO Hong-jun, YUN Yong-hu

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文章历史 +

摘要

以含间隙的曲柄滑块系统为研究对象，分析其在考虑铰间摩擦力及系统参数具有随机性时的动力响应问题。基于Lagrange方程建立了系统的动力学模型，利用BP神经网络法给出了系统随机参数与动力响应之间的近似函数关系式。在此基础上，利用矩法求解系统动力响应的数字特征，获得统计意义下的解。通过算例，考察了系统物理参数和几何参数的随机性对系统动力响应的影响，并验证了所建模型和方法的合理性和可行性。研究结果表明，系统参数的随机性不可忽略，在参数变异系数相同的情况下，间隙的随机性对系统动力响应的影响较大。

Abstract

The dynamic responses for slider-crank system with clearance considering of the friction forces and the randomness of system parameters were developed. The system dynamic model was set up based on Lagrange’s equation, and the approximate functional relationship between the system random parameters and the dynamic responses was given by using the BP neural network. The numerical characteristics of the system dynamic responses were solved by moment method, and the results were expressed in statistic view. The effects of the system physical parameters and geometric parameters on the system dynamic response were inspected. In addition, the model and the method presented in the paper were verified through an example. The results illustrate that the randomness of the system parameters can’t be ignored, and the randomness of the clearance has greatest effect on the responses of the system under the same coefficient of variation conditions.

导出引用

赵宽;陈建军;曹鸿钧;云永琥. 含间隙曲柄滑块系统动力响应的随机性分析[J]. 振动与冲击, 2014, 33(11): 130-135

ZHAO Kuan;CHEN Jian-jun;CAO Hong-jun;YUN Yong-hu. Randomness analysis of dynamic responses of slider-crank system with clearance[J]. Journal of Vibration and Shock, 2014, 33(11): 130-135