ABSTRACT

This article proposes a design method to minimize the compliance or maximize the fundamental natural frequency of continuum structures under thin feature and support structure constraints in additive manufacturing processes. The objective functions are, respectively, to minimize the compliance of continuum structures under static loads and maximize the fundamental natural frequency of vibrating continuum structures. The topology optimization is performed by the bi-directional evolutionary structural optimization (BESO) method. The sensitivity expressions for minimizing the compliance or maximizing the fundamental natural frequency are derived in detail. Different thin feature constraints and the support structure constraints in different printing directions are investigated. Several two- and three-dimensional numerical examples involving compliance minimization and eigenfrequency maximization show that the proposed method is effective in achieving convergent solid–void optimized solutions for a variety of optimization problems of continuum structures, and the designs resulting from the new topology optimization algorithm are additive manufacturing friendly.

摘要

本文提出了一种在增材制造过程中，在薄特征和支撑结构约束下，最小化连续性结构的顺应性或最大化其基本固有频率的设计方法。目标函数分别是使静态载荷下的连续体结构的柔度最小化，并使振动的连续体结构的基本固有频率最大化。拓扑优化是通过双向进化结构优化（BESO）方法执行的。详细推导了用于最小化柔量或最大化基本固有频率的灵敏度表达式。研究了不同印刷方向上不同的薄特征约束和支撑结构约束。