剪式机构阵列可展结构的静力学分析方法与应用研究

针对大型可展结构提出了一种新的结构静力学分析方法，克服了常规有限元方法在进行大型可展结构分析时计算量大、计算耗时长等缺点。首先建立了剪式单元机构的刚度矩阵，组装得到整体结构的刚度矩阵和有限元方程;然后通过等价变形，将总刚度矩阵表示成循环矩阵，有限元方程表示成离散卷积的形式;最后采用一种新的方法求解了卷积形式的平衡方程，得到了各铰链点的位移和约束力，提高了计算效率。

Static Analysis Method and Application Research of Line Array Deployable Structures Based on SLE

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.