摘要
板壳类结构在工程领域被广泛应用,使得板壳耦合结构动力学特性成为备受关注的研究话题。针对现有研究方法在复杂耦合结构动力学特性分析方面的局限性,构建复杂边界条件下板壳耦合结构振动分析模型,采用二维改进傅里叶级数对弹性板和圆柱壳结构各位移函数分别进行描述,复杂边界条件通过不同组合的弹性约束来模拟,并依赖四类耦合弹簧充分考虑结构之间弯矩、横向剪力、面内纵向力以及面内剪切力的机械耦合效应,进而基于哈密顿原理和瑞利-里兹方法得到板壳耦合结构系统的特征方程与振动响应。研究结果表明,该方法预测板壳耦合结构模态参数优于文献结果,预测强迫响应结果与测试结果吻合良好,验证了该分析方法的正确性。建立的板壳耦合结构分析模型可适用于各类复杂边界条件,无需重新进行理论推导和计算程序编写,是一种可靠而高效的分析手段,可为开展复杂耦合结构的振动分析与动力学设计提供通用性的分析模型基础。
Plate-shell coupled structures are extensively applied in practical engineering fields. The dynamic characteristics of plate-shell coupled structures become a study topic receiving many attentions. Here,an analysis model for vibration of plate-shell coupled structures under complex boundary conditions was constructed. Each displacement of a plate-shell coupled structure system was described with two-dimensional improved Fourier series. The complex boundary conditions were simulated with different combinations of elastic restraints. 4 types of coupling springs were introduced to fully consider mechanical coupling effects among bending moments,transverse shear forces,in-plane longitudinal forces and in-plane shear forces on structures ＇ interfaces. Furthermore,based on Hamilton ＇s principle and Rayleigh-Ritz method,the characteristic equation of the plate-shell coupled structural system was derived and the system vibration responses were gained. The study results showed that the correctness of the proposed method is verified through comparing the calculated results using the proposed method with those published in literatures and tests; the established analysis model for plate-shell coupled structure systems here is applicable to various complex boundary conditions,and it is a reliable and effective analysis means; the results provide an analysis model basis for vibration analysis and dynamic design of complex coupled structures.
作者
代路
林原胜
柳勇
白凡
吴君
杨铁军
DAI Lu1, LIN Yuansheng1, LIU Yong1, BAI Fan1, WU Jun1, VANG Tiejun2(1. Science and Technology on Thermal Energy and Power Laboratory-, Wuhan Second Ship Design ＆ Research Institute, Wuhan 430205, China; 2. College of Power and Energy-Engineering, Harbin Engineering University, Harbin 150001, Chin)
出处
《振动与冲击》
EI
CSCD
北大核心
2018年第15期270-276,共7页
Journal of Vibration and Shock
基金
国家自然科学基金青年基金(51509192)
关键词
板壳耦合结构
改进傅里叶级数
复杂边界
振动分析
plate-shell coupled structure
improved Fourier series
complex boundary
vibration analysis
