複層ラチスドームの幾何学的非線形座屈解析

Abstract

The primary objective of this paper is to grasp many characteristics of buckling behavior of double layer latticed spherical domes under various conditions. The Arc-Length Method proposed by E. Riks is used for the computation and evaluation of geometrically nonlinear fundamental equilibrium paths and bifurcation points and the direction of the path after the bifurcation point is decided by means of Hosono's concept. Three different nonlinear stiffness matrices of the Slope-Deflection Method are darived for the system with rigid nodes and results of the numerical analysis are examined in regard to geometrical parameters such as slenderness ratio, half-open angle, boundary conditions, and various loading types. But in case of analytical model 2 (rigid node) the post-buckling path could not be surveyed because of Newton-Raphson iteration process being diversed on the critical point, since many eigenvalues becom zero simultaneously.