This paper presents a new density-based topology optimization algorithm for the design of constructible rigid interlocking assemblies with multiple components. The multiple components or structural parts are introduced by having multiple sets of design variables: one for each component. These are filtered separately and combined to create a density field for each structural part. In addition, the framework uses a series of filtering operations to ensure sufficient blocking of rigid body motion and sufficient assemblability. Since this type of assembly is frequently constructed both with and without the use of mortars or adhesives, the structural performance is simplified into a set of static load cases in which the inter-component interactions are estimated. The framework is demonstrated on design examples with two and four components and found to achieve interlocking, constructible assemblies. Crisp interface boundaries and interaction loads along the component interfaces are observed for all examples. Additionally, the two-component solutions are analyzed and compared using computational contact analyses to investigate the influence of the user defined parameters. Finally, an extension is suggested that allows the inclusion of a void phase.

本文提出了一种新的基于密度的拓扑优化算法，用于设计具有多个组件的可构造刚性联锁组件。通过具有多组设计变量来引入多个组件或结构部分：每个组件一个。将它们分别过滤并合并以为每个结构部件创建一个密度场。此外，该框架使用了一系列过滤操作，以确保充分阻止刚体运动并具有足够的可组装性。由于这种类型的组件通常在使用和不使用砂浆或粘合剂的情况下进行构造，因此将结构性能简化为一组静态载荷情况，在这种情况下可以估计组件之间的相互作用。该框架在具有两个和四个组件的设计示例上进行了演示，并且发现该框架实现了互锁且可构造的组件。对于所有示例，都将观察到酥脆的界面边界和沿组件界面的交互负载。此外，使用计算接触分析来分析和比较两组分解决方案，以研究用户定义参数的影响。最后，提出了一种扩展方案，允许包含一个空相。