摘要
基于叠加原理,采用坐标旋转和线性叠加的方法,建立了求解旋转相似载荷下轴对称结构弹性响应的快速算法——旋转叠加法.文章首先给出了"旋转相似载荷"的定义,推导了相关计算公式,然后给出了一个应用实例,验证了算法的正确性和有效性,最后对相关问题进行了讨论.旋转叠加法巧妙利用了叠加原理和结构的轴对称性,对同一结构只需一次分析,即可通过简单算术运算得到多种载荷下的结构响应,为多工况结构分析提供了高效的计算手段.
Based on the principle of superposition,a quick method,rotation-superposition method,for solving responses of axisymmetric structures subjected to loads of rotational similarity is built by coordinate rotation and linear superposition.This paper firstly defines the loads of rotational similarity and derives the calculation formulas.Then an application example is given to prove the validity and efficiency of this method,and relating problems are discussed in the end.The rotation-superposition method ingeniously utilizes the principle of superposition and the axisymmtry of structures.For one structure,only one analysis is necessary,and then the responses under various load conditions can be obtained by brief arithmetical calculations.This method provides a high-efficiency approach for relating multi-case analyses.
出处
《固体力学学报》
CAS
CSCD
北大核心
2011年第3期306-312,共7页
Chinese Journal of Solid Mechanics
基金
中国工程物理研究院科学技术发展基金项目(2009B0201017)资助
关键词
弹性力学
轴对称结构
旋转相似载荷
叠加原理
快速算法
旋转叠加法
elasticity
axisymmetric structure
load of rotational similarity
principle of superposition
quick method
rotation-superposition method
