A Topology Optimization Method for Continuum Dual-Material Structures Constrained by Mixed Displacement and Global Stress

Abstract

The invention discloses a continuum bi-material structure topology optimization method under displacement and global stress mixed constraints. The method comprises the steps of firstly, performing design variable description of a bi-material topology optimization problem according to a variable density method, setting two design variables for each unit, performing density filtering on the two design variables by applying a density filtering method to obtain two pseudo-densities corresponding to the unit, and on the basis of an epsilon stress relaxation method, proposing a bi-material stress relaxation method for constructing a stress constraint criterion of the unit; secondly, performing synthesis on stresses by utilizing a stress synthesis function to obtain a global stress constraint function, and solving the sensitivity of the global stress constraint function by applying an adjoint vector method and a composite function derivation rule; and finally, solving the optimization problemby applying a moving asymptote method, and performing iterative calculation until corresponding convergence conditions are met, thereby obtaining an optimal design scheme meeting the constraints. A bi-material topology structure meeting the displacement and global stress mixed constraint conditions can be obtained, and effective weight reduction can be realized.

Description

technical field [0001] The invention relates to the field of topology optimization design of continuum structures, in particular to the construction of dual-material stress constraint functions and the formulation of dual-material topology optimization schemes of continuum structures under the mixed constraints of displacement and global stress. Background technique [0002] With the development of science and technology and society, people have higher and higher requirements on the performance of structures, which makes the research on structure optimization become particularly important. Structural optimization design can be divided into three levels: size optimization, shape optimization and topology optimization. Among them, topology optimization, as the conceptual stage of structural design, has a decisive impact on the final configuration, and thus has the most significant impact on structural performance. Therefore, it is of great significance to study the topology o...

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Problems solved by technology

In the existing literature, the topology optimization problem of the continuum dual-material structure under the mixed constraints of displacement and global stress has not been seen. However, in actual engineering, the use of dual-material can make the structure more designable, thereby further improving performance of the structure

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