Teaching-Learning-Based Optimization (TLBO) Approach to Truss Structure Subjected to Static and Dynamic Constraints

Abstract

Natural frequencies of a structure are of significant importance and their effect becomes dangerous during resonance conditions. During critical dynamic excitation, the effect of frequencies becomes momentous and cannot be ignored. In this paper, teaching-learning-based optimization (TLBO) is proposed for the truss topology optimization (TTO) subjected to static and dynamic constraints. The TTO problems are considered with multiple loading conditions, which append further complexity to the problem due to the multiplication of constraints. All the TTO problems are subjected to natural frequency, element stress, nodal displacement, Euler buckling, and kinematic stability constraints. The TTO is achieved with the deletion of unnecessary elements and nodes from the ground structure. In this method, the troubles arise due to singular solution and unnecessary analysis, hence the finite element analysis (FEA) model is reformed to resolve it. Single stage optimization method is used where size and topology of truss are considered simultaneously. All results reveal that TLBO approaches lighter truss structures compared to the other state-of-art-algorithms.