In this work, the topology optimization of a mortar base plate is analysed under impact loading conditions. Usually, in this case, only ordinary topology optimization under volume constraints is considered. However, to reduce the quality of the mortar base plate and facilitate engineering applications, the topological optimization problem of the continuum of the base plate under the engineering and quality constraint is considered. A finite element model has been established and verified by testing for the mortar base plate. The variable density method was used to obtain the topological optimization results of the base plate based on the force transmission path, and then the structure was reconstructed. The mass of the optimization model of the base plate is 12.78% lower than that of the original model. In comparison with the original base plate before optimization, the results show that the maximum deformation and stress of the base plate decreased by 16.85% and 35.52%, respectively. Also, the firing stability of the mortar meets requirements, which not only meet the design requirement but also provide a reference for the performance improvement and structural optimization design of the base plate.

中文翻译：

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冲击载荷下砂浆底板的拓扑设计

在这项工作中，分析了在冲击载荷条件下砂浆底板的拓扑优化。通常，在这种情况下，仅考虑在容量限制下的常规拓扑优化。但是，为了降低砂浆底板的质量并方便工程应用，考虑了工程和质量约束下底板连续体的拓扑优化问题。建立了有限元模型，并通过对灰浆底板的测试进行了验证。基于力传递路径，采用变密度法获得基板的拓扑优化结果，然后进行结构重构。基板优化模型的质量比原始模型的质量低12.78％。与优化前的原始基板相比，结果显示基板的最大变形和应力分别降低了16.85％和35.52％。而且，砂浆的烧成稳定性满足要求，不仅满足设计要求，而且为底板的性能改进和结构优化设计提供参考。