Modeling Truss Structures with Initial Length Imperfections Using Hybrid Finite Element Approach

This chapter delves into the dynamic analysis of truss structures, focusing on the effects of initial length imperfections under harmonic loading. The study introduces a hybrid finite element approach that treats both displacements and internal forces as primary unknowns, offering a more accurate and efficient solution for nonlinear dynamic problems. Key topics include the impact of initial length imperfections on truss dynamics, the formulation of dynamic equilibrium equations, and the implementation of an incremental-iterative solution algorithm. The research compares trusses with and without imperfections, revealing significant differences in axial forces and displacements. The study concludes that initial length imperfections play a critical role in the dynamic behavior of trusses, emphasizing the importance of accounting for these imperfections in structural design and analysis. By incorporating initial length imperfections directly into the element matrices, the hybrid finite element method simplifies the formulation and computational algorithm, providing a robust tool for simulating and investigating the nonlinear dynamic responses of imperfect truss structures.