Study On Topology Optimization Method For Continuum Structures

Topology optimization of continuum structures is based on some mechanical properties, removed the invalid unit from the structure gradually to make the remaining structure close to a best spatial distribution and to keep each part of the stress level close to the same security configuration. Optimal design change the negative chack design to the positive improved design,make the feasibility design changed to the optimized design. In the design process, the design is based on analysis, without check and modify repeatedly, topology optimization improved design efficiency and shorten the design cycle time.At first, this paper do topology optimization design for the plates, cantilever beam and nonlinear cantilever beam based on Von Mises stress criterion, stress-displacement criterion, strain energy criterion and stress-based criterion. Compare the convergence rate and the optimized structural performance of different optimization critera.Next, do both analytical design and optimization design for equal strength beams. Developed an average stress criterion by comparing the changes of stress level of two kinds of optimization process. Prove that this method can improve the average stress of the optimized structure.Finally, using both micro-optimization criterion and macro-optimization criterion to do the optimization design for the plates,proved that macro-optimization criterion is better to get the right structure.Based on the analysis developed a microscopic analysis-macro decide criterion, and proved that this methord is effective.