基于波函数法的附加弹簧阻尼薄板的振动研究

发布时间：2018-09-10 08:23

【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50~600 Hz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120 Hz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]:Based on Kirchhoff theory of thin plate bending vibration and Wave Based Method (WBM) theory of wave function method, the method of transforming additional spring damping structure into point excitation by using WBM is derived, and a system matrix based on WBM to calculate the vibration response of thin plate with spring damping is constructed. The bending vibration response of thin plate with spring damping support is obtained. Taking simply supported rectangular plates with four sides as an example, the vibration response of reference points in the 50 ~ 600 Hz band is calculated, and the results are compared with those of the analytical method and the finite element method. By using this method, the bending vibration responses of thin plates at 120 Hz with different spring damping structures and without spring damping structures are compared and calculated. The results show that by converting spring damping structure into point excitation, WBM can be effectively applied to the simulation of bending vibration response of thin plate supported by additional spring damping. Compared with finite element method, it has higher accuracy and faster convergence rate.
【作者单位】：重庆大学机械传动国家重点实验室;重庆大学汽车工程学院;
【基金】：中央高校基本科研业务费科研专项(CDJZR14115501) 重庆市研究生科研创新项目(CYB14036) 国家自然科学基金资助项目(51275540)
【分类号】：TB53

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