Abstract
There is a lot of literature concerning the topology optimization of structures under static loads with the bi-directional evolutionary structural optimization (BESO), but only few approaches has focus on the dynamics problems with the BESO. This paper presents the von Mises stress as a sensitivity number and a new filter scheme for the BESO method focusing on dynamics problems. Based on the proposed technique and the BESO method, we discuss two measures to reduce vibrations of structures subjected to single external harmonic loads at a user-defined point. The natural frequency-based measure (NFBM) shifts the natural frequency of the most significant mode away from the driving frequency, while the steady state dynamics-based measure (SSDBM) considers several modes and natural frequencies at the same time using modal superposition.
Highlights
Structural optimization seeks to achieve the best performance for a structure while satisfying various constraints such as a given amount of material [1]
We propose the von Mises stress as a sensitivity number and a new filter scheme for the bi-directional evolutionary structural optimization (BESO) method focusing on dynamics problems, and use it with a commercial Finite Element Analysis (FEA) software to implement the dynamics topology optimization
This paper presents the von Mises stress as a sensitivity number and a new filter scheme for the BESO method focusing on dynamics topology optimization problems
Summary
Structural optimization seeks to achieve the best performance for a structure while satisfying various constraints such as a given amount of material [1]. The evolutionary structural optimization (ESO) method was initially proposed by Xie and Steven based on a simple concept that a structure evolves towards an optimum by gradually removing less stressed material [4]. The latest version of BESO method includes the following procedure [6]: 1) Discretize the design domain using a finite element mesh; 2) Perform finite element analysis and calculate the smoothed elemental sensitivity number; 3) Average the sensitivity number with its history information; 4) Determine the target volume for the iteration; 5) Add and delete elements according to the sensitivity number; 6) Repeat steps 2-5 until the constraint volume is achieved. We propose the von Mises stress as a sensitivity number and a new filter scheme for the BESO method focusing on dynamics problems, and use it with a commercial Finite Element Analysis (FEA) software to implement the dynamics topology optimization.
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