Abstract

This work aims at introducing misalignment response in the design of mechanical transmission components using topology optimization. Misalignment considerations can be of high importance for various industrial applications as in gearbox or differential, where aligned axes are to be ensured during the usage of the part. Nevertheless, to the authors’ knowledge, no work so far implements such response in a topology optimization framework. In this contribution, misalignment between two spatial vectors is evaluated in various ways using trigonometry and vector functions. The misalignment is formulated through the spatial displacements of the constituent nodes of the objective vectors. The authors choose a formulation among other and implement the later in a 2D topology framework for further investigation on test cases. Issues such as material disconnection, non-discrete solutions or lack of engineering meaning are tackled along this work by the introduction of constraints and parametric studies. A performance test is achieved on a simplified gearbox transmission system to assess the performance between designs with or without misalignment considerations. Manufacturing constraints are introduced to improve the manufacturability of the optimized solution. Subsequently a 3D test case further highlights the usefulness of this contribution.

中文翻译：

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带有制造限制的错位拓扑优化

摘要

这项工作旨在利用拓扑优化在机械传动组件的设计中引入失准响应。对于齿轮箱或差速器等各种工业应用而言，未对准的考虑因素非常重要，在零件使用过程中必须确保对准的轴。尽管如此，据作者所知，到目前为止，还没有任何工作在拓扑优化框架中实现这种响应。在这种贡献中，使用三角函数和向量函数以各种方式评估了两个空间向量之间的未对准。通过目标向量的组成节点的空间位移来表达失准。作者在其他方法中选择一种表述，并在2D拓扑框架中实施后者，以进一步研究测试用例。通过引入约束和参数研究，可以解决诸如材料断开，非离散解决方案或缺乏工程意义之类的问题。在简化的变速箱传动系统上进行了性能测试，以评估设计之间的性能（考虑或不考虑未对准的情况）。引入了制造约束条件，以改善优化解决方案的可制造性。随后，一个3D测试用例进一步强调了这一贡献的实用性。引入了制造约束条件，以改善优化解决方案的可制造性。随后，一个3D测试用例进一步强调了这一贡献的实用性。引入了制造约束条件，以改善优化解决方案的可制造性。随后，一个3D测试用例进一步强调了这一贡献的实用性。