IMPROVED FINITE ELEMENT TRANSFER MATRIX METHOD FOR STRUCTURAL DYNAMICS

LV JianDong; HE Bin; YAO LiKe; FAN QinShan

doi:10.16579/j.issn.1001.9669.2015.04.004

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IMPROVED FINITE ELEMENT TRANSFER MATRIX METHOD FOR STRUCTURAL DYNAMICS

更新时间：2022-09-22

- IMPROVED FINITE ELEMENT TRANSFER MATRIX METHOD FOR STRUCTURAL DYNAMICS
- Journal of Mechanical Strength Vol. 37, Issue 4, Pages: 672-675(2015)
- 作者机构：
  
  1. 南京工业大学力学部
  2. 清华大学航天航空学院
- 作者简介：
- 基金信息：
- DOI：10.16579/j.issn.1001.9669.2015.04.004
  CLC：
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LV JianDong, HE Bin, YAO LiKe, et al. IMPROVED FINITE ELEMENT TRANSFER MATRIX METHOD FOR STRUCTURAL DYNAMICS. [J]. 37(4):672-675(2015)
DOI：

LV JianDong, HE Bin, YAO LiKe, et al. IMPROVED FINITE ELEMENT TRANSFER MATRIX METHOD FOR STRUCTURAL DYNAMICS. [J]. 37(4):672-675(2015) DOI： 10.16579/j.issn.1001.9669.2015.04.004.

摘要

有限元传递矩阵法提供了一种解决复杂结构工程问题的高效手段,由于传统有限元传递矩阵法的状态矢量通常都包括线位移和角位移,导致瞬态动力学问题求解时对数值方法依赖性较强。基于此,提出了一种求解结构动力学的有限元加速度传递矩阵法,将状态矢量里的位移变为加速度、角位移变为角加速度,避免了传递矩阵与数值方法的直接耦合,能够方便地求解结构工程动力学问题。最后通过算例验证了方法的有效性。

Abstract

The finite element transfer matrix method provides an efficient means to solve complex engineering problems,the state vector of traditional finite element transfer matrix method usually include linear and angular displacement,resulting in solving the transient dynamic problems has a strong dependence on numerical method. Based on this,this paper presents the finite element acceleration transfer matrix method for structural dynamic,the displacement in the state vector into acceleration,angular displacement into angular acceleration,to avoid the direct coupling of transfer matrix and numerical method,the finite element acceleration transfer matrix method for structural dynamic can conveniently solve the structural dynamics problems. At last,an example shows the validity of the proposed method.

关键词

有限元传递矩阵结构动力学

Keywords

Finite elementTransfer matrixStructural dynamics

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