夏 飞, 辛克贵. 薄壁曲梁振动分析的样条有限杆元法[J]. 工程力学, 2009, 26(3): 1-005.
引用本文: 夏 飞, 辛克贵. 薄壁曲梁振动分析的样条有限杆元法[J]. 工程力学, 2009, 26(3): 1-005.
XIA Fei, XIN Ke-gui. THE SPLINE FINITE MEMBER ELEMENT METHOD IN VIBRATION ANALYSIS OF THIN-WALLED CURVED BEAMS[J]. Engineering Mechanics, 2009, 26(3): 1-005.
Citation: XIA Fei, XIN Ke-gui. THE SPLINE FINITE MEMBER ELEMENT METHOD IN VIBRATION ANALYSIS OF THIN-WALLED CURVED BEAMS[J]. Engineering Mechanics, 2009, 26(3): 1-005.

薄壁曲梁振动分析的样条有限杆元法

THE SPLINE FINITE MEMBER ELEMENT METHOD IN VIBRATION ANALYSIS OF THIN-WALLED CURVED BEAMS

  • 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。

     

    Abstract: 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 frequencies 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.

     

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