摘要
以两端简支圆柱壳体为例,研究了考虑正、余弦模态成分影响的圆柱壳体动力响应中的模态参与问题,提出了根据模态参与因子的分布特征判定模态截断阶次的方法,采用正、余弦模态叠加得到了圆柱壳体在冲击激励及旋转行波激励作用下的动力响应,基于响应的收敛性验证了判定方法的可靠性。理论计算与有限元仿真结果表明,与圆柱壳体模态特性分析不同,在求解圆柱壳体动力响应时必须同时考虑正、余弦模态成分的影响;冲击激励作用下,圆柱壳体各阶正、余弦模态在响应中的参与程度与激振点和观测点的位置相关;旋转行波激励作用下,圆柱壳体各阶正、余弦模态在响应中的参与程度与激励的阶次和频率密切相关。
Considering the simply-supported cylindrical shells,the modal participation in dynamic responses is studied by consider-ing the influence of sine and cosine modes,and a method for determining the order of modal truncation according to the distribution characteristics of modal participation factors is proposed.The dynamic responses of cylindrical shells under the impact excitation and rotating traveling wave excitation are obtained by the superposition of the sine and cosine modes,and the reliability of the deter-mination method is verified by the convergence of responses.The results of theoretical calculations and finite element simulations show that the influence of sine and cosine modes must be considered simultaneously in calculation of the dynamic responses for cy-lindrical shells,which is different from the case of modal characteristics analysis.When cylindrical shells are subjected to impact ex-citation,the participation degree of each order sine and cosine modes is related to the location of the excitation point and observa-tion point.When cylindrical shells are subjected to rotating traveling wave excitation,the participation degree of each order sine and cosine modes is closely related to the order and frequency of the excitation.
作者
徐港辉
祝长生
XU Gang-hui;ZHU Chang-sheng(College of Electrical Engineering,Zhejiang University,Hangzhou 310027,China)
出处
《振动工程学报》
EI
CSCD
北大核心
2024年第1期83-94,共12页
Journal of Vibration Engineering
基金
国家自然科学基金资助项目(51975516)
重点基础研究项目(ZD-232-00)。
关键词
圆柱壳体
正余弦模态
模态参与
模态叠加
模态截断
动力响应
cylindrical shells
sine and cosine modes
modal participation
modal superposition
modal truncation
dynamic responses
作者简介
徐港辉(1995-),男,博士研究生。E-mail:gh_xu@zju.edu.cn;通讯作者:祝长生(1963-),男,博士,教授。E-mail:zhu_zhang@zju.edu.cn。
