基于波函数法的附加弹簧阻尼薄板的振动研究

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振动与冲击 ›› 2016, Vol. 35 ›› Issue (14) : 140-144.

论文

夏小均1,2，徐中明1,2，张志飞1,2,贺岩松1,2

作者信息 +

The vibration analysis of the plate with spring -damper based on Wave Based Method

Xia Xiaojun1, 2, Xu Zhongming1, 2, Zhang Zhifei 1, 2, He Yansong1, 2

Author information +

文章历史 +

摘要

基于Kirchhoff薄板弯曲振动理论和波函数法Wave Based Method(WBM)理论，推导了运用WBM将附加弹簧阻尼结构转化为点激励的方法，构建了基于WBM计算含弹簧阻尼支承薄板振动响应的系统矩阵，得到了含弹簧阻尼支承的薄板弯曲振动响应。以四边简支矩形板为例，计算了50-600Hz频段内参考点的振动响应，并与解析法和有限元法的计算结果进行了对比。运用该方法对比计算了添加不同弹簧阻尼结构数与无弹簧阻尼结构时薄板在120Hz的弯曲振动响应。结果表明：通过将弹簧阻尼结构转换成点激励的方法,能有效的将WBM应用于附加弹簧阻尼支承薄板弯曲振动响应的仿真计算，与有限元法相比，有着更高精度和收敛速度。

Abstract

A wave based prediction technique for spring-damper plate is proposed based on the theory of Kirchhoff and Wave Based Method (WBM) via converting the additional spring – damper structure into a point force with the change of frequency and amplitude of displacement, the system matrix for computing the vibration response of the plate with a spring-damper is constructed on account of WBM, subsequently the bending vibration response of the pate is obtained. With a four edges simply supported rectangular plate as an example, the method is verified via the comparison with the vibration response of reference point at 50-600Hz implemented by analytic method and finite element method respectively. The vibration response of plate with different number of spring-damper structure is computed to find the effect of the adding structure. The analysis results indicates that WBM is valid on the prediction for bending vibration response of the spring -damp plate. Contrast with FEM, the WBM can achieve the mid-frequency bending vibration response of a spring -damp plate with higher accuracy and converge rate.

导出引用

夏小均1,2，徐中明1,2，张志飞1,2,贺岩松1,2. 基于波函数法的附加弹簧阻尼薄板的振动研究[J]. 振动与冲击, 2016, 35(14): 140-144

Xia Xiaojun1, 2, Xu Zhongming1, 2, Zhang Zhifei 1, 2, He Yansong1, 2. The vibration analysis of the plate with spring -damper based on Wave Based Method[J]. Journal of Vibration and Shock, 2016, 35(14): 140-144

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