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：拓扑优化方法因其能为机械装置提供有前景的设计候选方案，已被广泛应用于各个行业。然而，由于传统仿真技术在计算高效处理多结构间或与边界的接触和交互方面存在困难，其应用通常局限于无明显运动的物体。在本研究中，我们提出了一种结合物质点法的运动物体拓扑优化方法，该方法常用于计算机图形学领域模拟物体运动。多项数值实验证明了所提方法的有效性和实用性。