The use of topology optimization in structural design under dynamic excitation is becoming more prevalent in the literature. While many such applications utilize frequency or time domain formulations, relatively few consider stochastic dynamic excitations. This paper presents an efficient and compact code called TopSTO for structural topology optimization considering stationary stochastic dynamic loading using a method derived from random vibration theory. The theory, described in conjunction with the implementation in the provided code, is illustrated for a seismically excited building. This work demonstrates the efficiency of the approach in terms of both the computational resources and minimal amount of code required. This code is intended to serve as a baseline for understanding the theory and implementation of this topology optimization approach and as a foundation for additional applications and developments.

在动态激励下的结构设计中使用拓扑优化在文献中变得越来越普遍。虽然许多此类应用使用频域或时域公式，但考虑随机动态激励的应用相对较少。本文提出了一种名为 TopSTO 的高效紧凑的代码，用于使用源自随机振动理论的方法考虑静态随机动态载荷的结构拓扑优化。该理论结合所提供的代码中的实现进行了描述，并针对地震激发的建筑物进行了说明。这项工作证明了该方法在计算资源和所需代码量方面的效率。该代码旨在作为理解该拓扑优化方法的理论和实现的基线，并作为其他应用和开发的基础。