This study aims to apply homotopy method to space truss composed of discrete members to obtain a semi-analytical solution. For the purpose of this research, a nonlinear governing equation of the structures is formulated in consideration of geometrical nonlinearity, and homotopy equation is derived. The result of carring out dynamic analysis on a simple model is compared to a numerical method of 4th order Runge-Kutta method(RK4).

In this study, a structural modeling and an analysis considering structural stability were investigated to develop an icosahedron-based hemispherical modular dome. To design the dome, a program that can perform icosahedron shape modeling, modularization of joint connection members. Furthermore, based on the adopted numerical model, the buckling mode, unstable behavior characteristics according to load vector, and the critical buckling load of the modular dome under uniformly distributed load and concentrated load were analyzed, and the resistance capacities according to different load vectors were compared.