摘要
从最小势能泛函出发，将位移分离为静态位移及与频率相关的动态位移，导出了简便、统一的动态有限元（ＤＥＭ）列式，克服了ＤＥＭ［１］、［２］中列式复杂的缺陷．将本文方法应用于薄板横向振动分析中，计算了矩形薄板在不同支承情况下的自振频率．结果表明本文方法简单、有效。
The simple and systematic formulation of Finite Dynamic Element Method (DEM) is derived from the principle of minimum of potential, by seperating the displacement into static displacement and dynamic displacement which is dependent on the dynamic characteristics. The defect of complicated formulation in DEM has been overcome. By using the present method, the finite dynamic element formulation for thin plate transverse free vibration has been presented. Furthermore, the rectangular plate transverse free vibration with different boundary conditions has been numerically tested. The results exibit remarkable characteristic behavior in dynamic structural analysis with enhanced computational accuracy.
出处
《长沙铁道学院学报》
CSCD
1999年第1期1-6,共6页
Journal of Changsha Railway University
基金
国家自然科学基金
关键词
有限元
动态有限元
薄板
振动
结构振动
finite element method
finite dynamic element method
plate
vibration
