关键词: 剪式单元, 刚度矩阵, 离散傅里叶变换, 非齐次线性方程组

Abstract:

A new method was proposed to carry out deployable structure static analysis, which overcome the FEM disadvantages that computation was of large amount and time-consuming. Firstly, the paper established the stiffness matrix of the SLE, which was assembled to obtain the global stiffness matrix and the equilibrium equations. Secondly, the global stiffness matrix was transformed equally to be a circulant matrix and the equilibrium equations were expressed in the form of discrete convolution. Lastly, a new method was applied to solve the equilibrium equations, which could be extended to any other kind of deployable structures, and the displacements and constraint forces on each joint were obtained, which increases the computational efficiency significantly.

Key words: scissor-like element(SLE), stiffness matrix, discrete Fourier transform, non-homogeneous linear equation