论文标题
关于拓扑优化设计依赖的压力加载的三维结构和合规机制
On topology optimization of design-dependent pressure-loaded three-dimensional structures and compliant mechanisms
论文作者
论文摘要
本文介绍了一种基于密度的拓扑优化方法，用于设计具有设计依赖性压力的三维（3D）符合的机制和负载结构。 Darcy Law与排水项结合使用，而不是接口跟踪技术，以获得压力场作为设计向量的函数。为了确保随着设计的发展，压力载荷的持续过渡，使用平滑的重质函数来定义有限元的流量系数。使用转换矩阵将获得的压力场转化为一致的节点载荷。提出的方法采用标准有限元公式，还可以使用伴随变量方法对负载灵敏度的一致和计算廉价计算。对于合规机理设计，将多标准目标最小化，而对设计负载结构进行了最小化。通过设计各种符合3D符合压力的机制和结构来证明所呈现方法的功效和鲁棒性。
This paper presents a density-based topology optimization method for designing three-dimensional (3D) compliant mechanisms and loadbearing structures with design-dependent pressure loading. Instead of interface-tracking techniques, the Darcy law in conjunction with a drainage term is employed to obtain pressure field as a function of the design vector. To ensure continuous transition of pressure loads as the design evolves, the flow coefficient of a finite element is defined using a smooth Heaviside function. The obtained pressure field is converted into consistent nodal loads using a transformation matrix. The presented approach employs the standard finite element formulation and also, allows consistent and computationally inexpensive calculation of load sensitivities using the adjoint-variable method. For compliant mechanism design, a multi-criteria objective is minimized, whereas minimization of compliance is performed for designing loadbearing structures. Efficacy and robustness of the presented approach is demonstrated by designing various pressure-actuated 3D compliant mechanisms and structures.
