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Engineering feature design for level set based structural optimization

机译:基于水平集的结构优化的工程特征设计

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Engineering features are regular and simple shape units containing specific engineering significance. It is useful to combine feature design with structural optimization. This paper presents a generic method to design engineering features for level set based structural optimization. A Constructive Solid Geometry based Level Sets (CSGLS) description is proposed to represent a structure based on two types of basic entities: a level set model containing either a feature shape or a freeform boundary. By treating both entities implicitly and homogeneously, the optimal design of engineering features and freeform boundary are unified under the level set framework. For feature models, constrained affine transformations coupled with an accurate particle level set updating scheme are utilized to preserve feature characteristics, where the design velocity approximates continuous shape variation via a least squares fitting. Meanwhile, freeform models undergo a standard shape and topology optimization using a semi-Lagrangian level set scheme. With this method, various feature requirements can be translated into a CSGLS model, and the constrained motion provides flexible mechanisms to design features at different stages of the model tree. As a result, a truly optimal structure with engineering features can be created in a convenient way. Several numerical examples are provided to demonstrate the applicability and potential of this method.
机译:工程特征是包含特定工程意义的常规形状单元和简单形状单元。将特征设计与结构优化结合起来很有用。本文提出了一种用于基于水平集的结构优化设计工程特征的通用方法。提出了一种基于构造实体几何的级别集(CSGLS)描述来表示基于两种基本实体的结构:包含要素形状或自由形式边界的级别集模型。通过隐式和同质地对待两个实体,在水平集框架下统一了工程特征和自由形式边界的优化设计。对于特征模型,结合仿射变换和精确的粒子级集更新方案来保留特征特征,其中设计速度通过最小二乘拟合近似连续的形状变化。同时,自由形式模型使用半拉格朗日水平集方案进行标准形状和拓扑优化。使用此方法,可以将各种特征需求转换为CSGLS模型,并且受约束的运动提供了灵活的机制来设计模型树不同阶段的特征。结果,可以以方便的方式创建具有工程特征的真正最佳的结构。提供了几个数值示例,以证明该方法的适用性和潜力。

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