中文摘要：

本文介绍渐进结构优化法和双向渐进结构优化法的近期发展和主要研究成果．从理论层面对该方法的合理性、连续体拓扑优化在多种工程问题中的应用，以及计算机软件的具体实现，进行了阐述及算例演示．这些结果充分展示了渐进结构优化法解决实际工程优化设计问题的能力，以及其通过现有成熟建模界面广泛应用于日常建筑和机械结构设计的可行性．

英文摘要：

This paper summarizes the authors＇ recent developments in ESO and bi-directional ESO （BESO）, from the theoretical validation of the method, its applications in a variety of design optimization problems of con- tinuum structures, to computer software realization of topology optimization. The results clearly demonstrate the capability of ESO/BESO for solving a wide range of engineering design problems and its easy accessibility through well-established CAD environments to design practice of architecture and machinery.