加锚体自然单元法分析与程序设计

建立了加锚体的自然单元法分析模型。结合自然相邻插值和一维轴力杆单元的劲度矩阵,推导了锚杆支护数值模拟的单元列式,给出了自然单元法分析加锚体的实施步骤和主要程序设计。结构的离散和锚杆的离散完全独立,因此可以自由地加设或拆除锚杆。算例分析表明自然单元法分析加锚体的精度与有限元的相当,但比有限元的实施要方便得多。

Analysis of bolted structures with Natural Element Method and program design

A Natural Element Method(NEM) model is proposed for the bolted structures.An element form,which is based on the natural neighbor interpolation and the stiffness matrix of one-dimensional truss element,is introduced into the analysis on bolted structures,and the implementation procedure and main program design are given.The discretizations for structure and bolt are independent,so the bolt can be freely added or removed in the analysis.The size of the global stiffness matrix is related to the number of nodes,and node numbering of discretized structure,is independent of bolt discretization.In the analysis,the computation of the stiffness matrix of bolt element is very convenient.Numerical simulations illustrate that the accuracy of NEM is almost the same as that of Finite Element Method(FEM),but the implementation is more convenient than that in FEM.