A Reliable Topology Optimization Method for Continuum Structures Under Rigid-Strength Fusion Constraints

Abstract

The invention discloses a non-probabilistic reliability topology optimization method for a continuum structure under rigid-strength fusion constraints. The method first obtains the relative density of elements by using the density filtering method from the design variables, and then uses the finite element method to calculate the displacement of the structure. The ε-relaxation method calculates the stress of the structure, and uses the p-form stress synthesis function constraint to process the global stress, and then uses the vertex combination method to obtain the upper and lower bounds of the displacement and global stress; the optimal characteristic distance is used to replace the original non-probabilistic reliability. index to solve the convergence problem, and use the adjoint vector method and the compound function derivation rule to solve the sensitivity of the optimized characteristic distance; finally, use the moving asymptotic method to iteratively calculate until the corresponding convergence conditions are met, and the optimal solution that satisfies the reliability constraints is obtained. Design. The present invention can achieve effective weight reduction and ensure that the design itself takes both safety and economy into consideration.

Description

technical field [0001] The invention relates to the field of reliability topology optimization design of continuum structures, in particular to a reliability topology optimization method of continuum structures under rigid-strength fusion constraints, which considers the uncertainty of material elastic modulus and load size The impact on the stiffness and strength of the structure and the formulation of a non-probabilistic reliability topology optimization scheme for the lower continuum structure based on the stiffness-strength fusion constraints. Background technique [0002] With the rapid development of human industry and production technology and the continuous extension of human exploration of space and ocean fields, the scope of structural optimization research is becoming more and more extensive. With high requirements for use, structural optimization design has increasingly become a crucial part of the project. According to the range of design variables, structural ...

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Problems solved by technology

[0005] The second problem is the locality of stress

At present, the relevant research is not sufficient, and the existing methods are too expensive to calculate, or the safety redundancy is too large, resulting in time cost loss and serious waste of resources

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