张拉整体结构找形的力密度法

力密度法是张拉整体结构的一种重要的找形方法,文中首先对张拉整体结构找形的力密度法进行介绍,依据分析时关注的主要变量对力密度法的找形方式进行了分类,根据上述分类提出了应用力密度法的数值找形过程,找形过程只需要提供很少的信息,构件类型和节点的拓扑关系。力密度矩阵的特征值分解和平衡矩阵的奇异值分解在找形过程用于计算满足矩阵秩亏条件的节点坐标和力密度的迭代计算。最后给出数值算例和比较以证明其有效性和稳健性。

FORCE DENSITY FORM-FINDING METHOD FOR TENSEGRITY STRUCTURES

FDM(force density method)which is one of the most important form-finding methods of tensegrity structure is introduced in this paper.The form-finding methods of force density method are classified according to the main variables concerned in analysis.Numerical form-finding procedure by using FDM is proposed based on the classification above.The form-finding procedure that requires only a minimal informations are required for form-finding process-the component type and topology of joint.The eigenvalue decomposition of the force density matrix and the singlar value decomposition of the equilibrium matrix were performed iteratively to compute the feasible sets of nodal coordinates and force densities which satisfy rank defect conditions of corresponding matrixes during form-finding.As a consequence,Some numerical examples were given and comparison was also made to show its efficiency and robustness in form-finding of tensegrity structures.