35 results about "Topology optimization problem" patented technology

The invention discloses a topology optimization method for isotropic materials based on second-order cone programming. The method takes Young's modulus E and Poisson's ratio v of isotropic materials as design variables, and performs singular value decomposition on the unit stiffness matrix. Construct a new decomposition representation of the stiffness matrix; and map the original design variables (E,v) to a new set of design variables (P,Q) through a bijective function, take (P,Q) as the design variables, and convert the original The topology optimization problem is transformed into a second-order cone programming problem, so as to obtain the global optimal (P, Q) solution, and obtain the corresponding optimal Young's modulus and Poisson's ratio through the bijective function; for any given target material category, the continuous solution is hierarchically clustered in (P,Q) space to obtain a high-fidelity discrete solution. By transforming the topology optimization problem of free isotropic materials into a second-order cone programming problem, the method of the invention can theoretically ensure the optimal solution of the problem and can obtain high-fidelity discrete solutions under any specified number of materials.

The invention discloses a macro-micro integrated structure topology optimization method considering stress constraints. According to the method, for the topology optimization problem of a structure with a macroscopic solid material and a micro-truss at the same time, the micro-truss is equivalently expressed as a mean material by adopting a representative volume element method; for the solid material, a stress comprehensive function is used for representing the stress level of the solid material; then an adjoint vector method is adopted for solving the stress comprehensive function and a partial derivative value of a displacement to a design variable; and finally, the macro-micro integrated structure topology optimization considering the stress constraint is solved by building a double-level optimization model, wherein an inner layer is solved by adopting a moving asymptotic line method, the displacement constraint of the structure and the stress constraint of the solid material are achieved, and an outer layer adopts a univariate function zero solving algorithm to realize the stress constraint of the micro-truss. The provided topology optimization method can effectively control the stress level of the macro-micro integrated structure to realize the topological optimization of the macro-micro integrated structure under the stress constraint.