摘要
研究薄板组合结构的动力学特性。基于薄板自由振动问题的动态基本解,运用边界元法建立薄板在横向和面内方向的边界控制方程式,为了提高解析建模的精度和效率,根据耦合的思想推导出薄板组合结构的动力学方程,采用频率扫描的方法,准确、快速地求解出薄板组合结构的频率,并得到其相应的振型。数值算例表明本建模方法的可行性和良好的解析计算精度。
Dynamic characteristics of a thin assembled plate structure are analyzed. Based on dynamic fundamental solutions for free vibration of the thin plate, governing boundary equations in the lateral and internal vibration of the thin plate are established by using a boundary element method （BEM）. In order to increase the model accuracy and efficiency, dynamic equations of the thin assembled plate structure are deduced based on the thoughts of coupling. An approach of frequency scanning is presented to calculate a series of natural frequencies of the thin assembled plate structure rapidly and accurately, and the corresponding modal shapes are obtained too. The numerical examples and experiments show that the established method not only feasibility but also have good precision.
出处
《机械强度》
EI
CAS
CSCD
北大核心
2005年第6期734-739,共6页
Journal of Mechanical Strength
基金
陕西省自然科学基金(2003E208)
陕西省教育厅专项科研基金(02JK112)资助项目
关键词
薄板组合结构
动力学
动态基本解
边界元法
频率扫描
Thin assembled plate structure
Dynamics
Dynamic fundamental solutions
Boundary element method（BEM）
Frequency scanning
