Topology Optimization Design Research Of The Stiffened∏Plateand Shell Based On Variable Density Method

The optimization design of plate and shell structure is one of the important waysto realize the lightweight of structure. In this paper, using the variable density method,we can design the stiffener on a lock support plate of∏shape. It is useful toimprove the lock support plate’s mechanical properties by the topology optimizationmethod setting stiffeners according to the simulation result.This paper adopts SIMP density-stiffness interpolation model of variable densitymethod and the optimization criterion, combined with the finite element optimizationto realize the structure optimization for the shell and plate of∏shape.Combining with the topology optimization based on variable density method andthe finite element software ANSYS, we can write topology optimization programusing the secondary development language APDL. By seeking maximum stiffnessunder volume constraints, we get the clear topology optimization results through theexample of four edges simply supported plate and shell. The result shows thecorrectness of the programming language, and also provide a programming referencefor other topology optimization of plate and shell.Taking the seat lock support plate as an example. First, we analyze the materialmechanical properties and mechanical load, and obtain the GQ280steel elasticmodulus, yield strength, tensile strength and other mechanical properties; second, weestablish the finite element model of lock support plate to get the clear topologyoptimization result.According to the the topology optimization result, combined with the equivalentstress distribution and the theory of pressure stiffener, we design the location of thestiffeners on entity part. After reinforcing the lock support plate, the maximumequivalent stress is reduced by12.80%, maximum strain energy can reduce by54.14%,and maximum deformation displacement by32.55%than less reinforcement. Stiffnessincreased29.3%, and the lowest natural frequency increased from66.92Hz to74.25Hz. For the part without material, we can remove material through increasingthe pores under the condition of good performance and continuous structure.Realizing the structure lightweight design, the lock support plate reduces materialabout4%of total mass.The design of stiffeners improves the rigidity and the stability of the lock support plate, avoiding a stress concentration in the process of work, forced vibration andother defects. The topology optimization design of stiffeners for the lock support platebased on variable density method, not only reduces the cost of parts and improves theservice life, but also has a important certain reference for the stiffener layoutoptimization of shell and plate.