Topology optimization methods have widely been used in various industries, owing to their potential for providing promising design candidates for mechanical devices. However, their applications are usually limited to the objects which do not move significantly due to the difficulty in computationally efficient handling of the contact and interactions among multiple structures or with boundaries by conventionally used simulation techniques. In the present study, we propose a topology optimization method for moving objects incorporating the material point method, which is often used to simulate the motion of objects in the field of computer graphics. Several numerical experiments demonstrate the effectiveness and the utility of the proposed method.

翻译：由于地形优化方法有可能为机械装置提供有希望的设计对象,因此在各种行业中广泛采用地形优化方法,但是,其应用通常限于那些由于难以以计算效率高的方式处理多结构之间的接触和相互作用或因传统使用的模拟技术而与边界之间的接触和相互作用而没有显著移动的物体;在本研究中,我们提出了一种将材料点方法纳入物体移动的地形优化方法,该方法常常用于模拟计算机图形领域的物体运动;一些数字实验显示了拟议方法的有效性和效用。</s>