Part structure reliability topological optimization design method considering bounded hybrid uncertainty

Abstract

The invention discloses a part structure reliability topological optimization design method considering bounded hybrid uncertainty. The method comprises the following steps: considering uncertainty in part structure manufacturing service, and respectively describing external loads with insufficient samples and material attributes with sufficient samples as interval variables and bounded probability variables; and discretizing a part structure design domain, setting physical and geometric constraints, and establishing a reliability topological optimization design model. Solution by utilizing a moving asymptote method comprises: decoupling probability interval uncertainty, and determining a worst working condition by utilizing a constraint performance gradient; defining worst working condition performance fluctuation and calculating constraint performance reliability; and finally calculating the gradient of the target and the constraint function on the design variable for iteration. The optimization design model established by the method truly reflects the distribution characteristics of the multi-source uncertainty of the part structure, is efficient in solving, and has good engineering application value.

Description

technical field [0001] The invention belongs to the field of equipment structure optimization design, and relates to a component structure reliability topology optimization design method considering bounded mixed uncertainty. Background technique [0002] As a method of adjusting the distribution of limited materials in the design domain to optimize the performance of structural targets, topology optimization has been widely used in product design. Due to various uncertainties in the process of manufacturing and use, in order to prevent the performance of the theoretical results obtained by topology optimization from deteriorating after actual manufacturing, the influence of uncertainties must be considered in the design stage. However, in the traditional reliability topology optimization method, the extensive approach of only using a single type of mathematical model to describe multi-source uncertainties is likely to lead to the distortion of uncertainty modeling and the f...

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Problems solved by technology

[0004] In order to solve the reliability topology optimization design problem of part structure under the influence of multi-source uncertainty, the present invention provides a reliability topology optimization design method of part structure considering bounded mixed uncertainty

The invention efficiently solves the reliability topology optimization design problem of the part structure under the coexistence of uncertain factors in the probability interval, and has good engineering application value

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