摘要
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。
A new method was proposed to carry out deployable structure static analysis,which o- vercome 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 stiff- ness matrix and the equilibrium equations. Secondly, the global stiffness matrix was transformed e- qually 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 ex- tended to any other kind of deployable structures, and the displacements and constraint forces on each joint were obtained ,which increases the computational efficiency significantly.
出处
《中国机械工程》
EI
CAS
CSCD
北大核心
2014年第4期461-466,共6页
China Mechanical Engineering
基金
国家自然科学基金资助项目(51175422)
