A New Method for Stress Analysis of a Cyclically Symmetric Structure
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摘要: 提出了回转对称结构在任意荷载作用下的应力分析新方法.先利用离散Fourier变换,将整个回转对称结构的分析等价地分解为一系列带有复数约束条件的单个扇区分析.然后又再构造了由两个完全相同扇区构成的虚拟结构,并证明了只要在虚拟结构上施加适当的外力和实数约束条件,那么虚拟结构的位移结果与原来单个扇区在复数约束条件的解答是完全一致的.虚拟结构在实数约束条件下的应力分析几乎所有的通用有限元程序都可以解决.因此采用该新方法,现成的有限元程序无需进行任何修改就能用于回转对称结构的应力分析.Abstract: In this paper,a computational method for finite element stress analysis of a cyclically symmetric structure subjected to arbitrary loads is provided.At first,using discrete Fourier transformation technique,the complete structure is analyzed by considering only one sector with appropriate complex constraints on its boundary with the adjacent sectors.Next,an imaginary structure which is composed of two identically overlapping sectors is constructed,and that the complex constraints mentioned above can be equivalently replaced by a set of real constraints on this imaginary structure is proved.Therefore,the stress analysis of a cyclically symmetric structure can be solved conveniently by most of finite element programs.
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Key words:
- cyclically symmetric structure /
- finite element method /
- stress analysis
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