A Topology Optimization Method for Inner Sequence Multiphase Materials

Abstract

The invention discloses an internal sequence heterogeneous material topological optimization method specifically comprising the steps of 1, building a finite element model of a design domain, initializing parameters in an algorithm, sorting materials in a descending order according to modulus sizes, and meanwhile setting an outer iteration serial number Nout to be equal to 1, and setting an inner iteration serial number i to be equal to 1; 2, after the step 1, finding an optimal solution for an i-th sub-problem; 3, setting the i to be equal to m, which means that volume constraints of all materials are met, continuing to execute the next step, and entering to the step 4; 4, after the step 3, judging whether to converge; if a convergence condition is met after computing, continuing the step 5; and otherwise, setting the Nout to be equal to Nout+1, and then returning to the step 2; and 5, ending, thus completing optimization. According to the internal sequence heterogeneous material topological optimization method provided by the invention, the phenomenon that a heterogeneous material optimization model is difficult to converge due to an overhigh nonlinear degree can be avoided.

Description

technical field [0001] The invention belongs to the technical field of multiphase materials, and in particular relates to a topology optimization method for inner sequence multiphase materials. Background technique [0002] In the traditional multiphase material topology optimization method, when performing stiffness design, the optimized mathematical model is as follows: [0003] [0004] In this model: (ρ 1 ρ 2 …ρ m ) e is the design variable, representing the relative density of the e-th unit in the design domain Ω; m is the total phase number of materials that need to be arranged in the optimized layout; the optimization goal is to maximize the stiffness of the structure; the corresponding is to minimize the flexibility C; F, U and K represent the overall external load vector, overall displacement vector, and overall structural stiffness matrix of the structure, respectively; g j Represents constraints in optimization, such as: volume constraints, displacement of...

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Problems solved by technology

[0021] In fact, in order to avoid the phenomenon that the multiphase material optimization model is too nonlinear and difficult to converge, it is very necessary to explore the multiphase material topology optimization method

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