Purpose

The purpose of this paper is to propose an improved proportional topology optimization (IPTO) algorithm for tackling the stress-constrained minimum volume optimization problem, which can meet the requirements that are to get rid of the problems of numerical derivation and sensitivity calculation involved in the process of obtaining sensitivity information and overcome the drawbacks of the original proportional topology optimization (PTO) algorithm.

Design/methodology/approach

The IPTO algorithm is designed by using the new target material volume update scheme and the new density variable update scheme and by introducing the improved density filter (considering the weighting function based on the Gaussian distribution) and Heaviside-type projection operator on the basis of the PTO algorithm. The effectiveness of the IPTO algorithm is demonstrated by solving the stress-constrained minimum volume optimization problems for two numerical examples and being compared with the PTO algorithm.

Findings

The results of this paper show that the uses of the proposed strategies contribute to improving the optimized results and the performance (such as the ability to obtain accurate solutions, robustness and convergence speed) of the IPTO algorithm. Compared with the PTO algorithm, the IPTO algorithm has the advantages of fast convergence speed, enhancing the ability to obtain accurate solutions and improving the optimized results.

Originality/value

This paper achieved the author’s intended purpose and provided a new idea for solving the stress-constrained optimization problem under the premise of avoiding obtaining sensitivity information.

中文翻译：

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具有应力约束的最小体积问题的改进比例拓扑优化算法

目的

本文的目的是提出一种改进的比例拓扑优化（IPTO）算法，以解决应力受限的最小体积优化问题，该算法可以满足摆脱模型中涉及的数值推导和灵敏度计算问题的要求。获得灵敏度信息的过程，并克服了原始比例拓扑优化（PTO）算法的缺点。

设计/方法/方法

IPTO算法是通过使用新的目标物料体积更新方案和新的密度变量更新方案，并通过引入改进的密度滤波器（考虑基于高斯分布的加权函数）和Heaviside型投影算子来设计的PTO算法。通过求解两个数值示例的应力约束最小体积优化问题并与PTO算法进行比较，证明了IPTO算法的有效性。

发现

本文的结果表明，所提出策略的使用有助于改进IPTO算法的优化结果和性能（例如获得准确解的能力，鲁棒性和收敛速度）。与PTO算法相比，IPTO算法具有收敛速度快，增强了获得精确解的能力和优化结果的优点。

创意/价值

本文达到了作者的预期目的，为在避免获取敏感信息的前提下解决应力约束优化问题提供了新思路。