摘要
该文提出采用分段转换B3样条插值函数模拟横截面的翘曲位移,利用有限杆元对薄壁曲梁进行振动分析的样条有限杆元法。方法采用静力分析中位移的精确解代替振动时的可能位移,应用Hamilton变分原理导出刚度矩阵,形成有限元列式,进而求出薄壁曲梁的振动频率和相应的振型,并用ANSYS有限元程序进行校核。数值算例表明:方法具有前处理简单、收敛速度快、精度高等特点。
Presented herein is a spline finite member element method which adopts transformed B3 spline function to simulate the warping displacements and uses finite member elements for vibration analysis of the thin-walled curved beams. The general solution of displacements of static analysis is used in this method to replace the possible displacements in vibration, and the stiffness matrix is developed by using Hamiltonian variational principle, then the natural fi＇equencies and corresponding vibration modes are obtained. In order to illustrate the accuracy and practical usefulness of this method, numerical solutions by this study are presented and compared with solutions by ANSYS. The presented method is simple in preprocess, convergent and sufficiently accurate.
出处
《工程力学》
EI
CSCD
北大核心
2009年第3期1-5,共5页
Engineering Mechanics
基金
国家自然科学基金项目(50578085)
关键词
薄壁结构
曲梁:样条有限杆元法
振动分析
分段转换B3样条函数
thin-walled structure
curved beams
the spline finite member element method
vibration analysis
transformed B3 spline function
