力密度找形分析方法及计算机实现

本文通过对力密度法的分析研究，概括了力密度法的基本原理和找形分析的过程，用矩阵形式给出了力密度的基本列式。通过对各个矩阵基本元素分析，找到了力密度矩阵的组装规律和一维变带宽存储的规则及实现算法和过程，并给出了详细的力密度矩阵的装配过程。通过基于C 语言的系统框架的程序，实现了该基于一维变带宽存储的力密度找形分析方法。最后，通过几个数值算例表明了，力密度法找形理论的先进性，及本文提出的算法过程实现的可行性和正确性。由于本文的算法是基于效率比较高的一维变带宽压缩存储格式，因此，可以实现大型索膜结构的找形分析。

Force Density Form-finding Method and It's Computer Realization

The force density method, was analyzed and its basic theory and form-finding procedure were summarized. The basic form of force density method was expressed as matrix form. By analyze the matrix element of all force density matrix, the storage rule of the force density matrix was found. With one dimensional variant banded storage technology, an arithmetic was presented and also the analysis procedure was realized. On the base of the language C+ + a form-finding software system was given out by using the force density method and sparse matrix storage technology, which also proved that the force density method and the procedure were advanced and applicable. Due to the arithmetic procedure is based on one dimensional variant-banded storage technology, the form-finding procedure can be applied in the form-finding analysis of largescale cable membrane structures.