Otimização topológica baseada em confiabilidade simultânea à distribuição de atuadores piezoelétricos

Abstract

The objective of this work is to integrate reliability analysis into topology optimization problem with the location of piezoelectric actuators. The new model, in which we introduce reliability constraints into a deterministic topology optimization formulation, is called Reliability-Based Topology Optimization. Several applications show the importance of this integration. In this problem, is used a static control and the topology optimization is done by minimizing the flexibility. The sensitivity analysis to obtain equilibrium equations and the derivatives of the objective function with respect to the project variables is developed at each stage. To obtain the numerical results, the structural models were discretized using the Finite Element Method, and an appropriate algorithm was implemented in a software. A methodology was introduced for the Optimality Criteria (OC), which is considered an innovative method. The proposed OC showed advantageous in terms of convergence, which means a significantly decrease of the computational simulations time. The numerical simulations show that the methodology used in this work can produce a well-defined structural topology, indicating the best positioning for actuators subjected to reliability indexes.