A Step-by-Step Temporal Spectral Element Method for System Dynamic Response Simulation

毛虎平; 苏铁熊; 李建军

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A Step-by-Step Temporal Spectral Element Method for System Dynamic Response Simulation

更新时间：2026-09-14

- A Step-by-Step Temporal Spectral Element Method for System Dynamic Response Simulation
- 基于逐步时间谱元法的结构动态响应仿真
- Vol. 34, Issue 4, Pages: 424-430(2013)
- 作者机构：
  
  1. 中北大学机电工程学院
  2. 中北大学理学院
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2013
- 稿件说明：
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毛虎平, 苏铁熊, 李建军. A Step-by-Step Temporal Spectral Element Method for System Dynamic Response Simulation[J]. 2013, 34(4): 424-430.
DOI：

毛虎平, 苏铁熊, 李建军. A Step-by-Step Temporal Spectral Element Method for System Dynamic Response Simulation[J]. 2013, 34(4): 424-430. DOI：

摘要

针对结构动态响应方程自由度很大

而谱元法又是大自由度的矩阵与整体时间矩阵张量的乘积

求解起来非常耗内存和时间的问题

提出了逐步时间谱元法.将仿真时间划分为很小的时间段

在每一个时间段内划分单元

并在每一个单元中采用谱展开近似

具有有限元处理复杂结构及边界的灵活性

谱方法的高精度及快速收敛和逐步划分仿真时间的高效性等特点.通过2个数值算例分析说明了精度可达到10-12数量级

效率比整体谱元法平均提高了36.57%

比Nemark法提高1个数量级以上.

Abstract

There are high DOFs for structural dynamic response equations.The SEM(spectral element method) is tensor product of the huge DOFs matrix and the overall time matrix

so that its run is very memory and time consuming.A step by step temporal SEM was proposed

which divided the simulation time into small time segments and divided each time segment into elements.The step by step temporal SEM which used spectral expansion in each element

combining advantages of spectral method with those of finite element method.Two experimental results illustrate that the accuracy can reach 10-12 order of magnitude

the efficiency compared with the monolithic SEM increases by an average of 36.57% and compared with ANSYS/Nemark method increases by one order of magnitude.

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references

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