Topological optimization design method for constrained damping sheet structure

Abstract

The invention relates to a topological optimization design method for a constrained damping sheet structure. The method comprises the following steps: taking reciprocal minimization of a modal loss factor as an optimization design target, wherein the relative density of the constrained damping layer unit is used as a design variable and the usage amount of the constraint damping layer is a constraint condition; establishing a dynamic topological optimization model through a variable density method; establishing a finite element dynamic model through a laminated plate theory; obtaining the inherent frequency and the modal shape of the composite structure through modal analysis; and calculating a modal loss factor of the constrained damping structure based on a modal strain energy method, calculating the sensitivity of the target function to each design variable according to a sensitivity formula, filtering the sensitivity through a grid filtering technology, iterating the design variables by adopting a moving asymptotic line method, and outputting an optimal topological configuration when a termination condition is met. The optimal topological distribution of the constraint dampinglayer on the surface of the substrate is realized on the premise of adding a certain amount of constraint damping material, the vibration response is effectively reduced, and the material is saved.

Description

technical field [0001] The invention belongs to the field of structural optimization design, and relates to a topology optimization design method of constrained damping thin plate structure. Background technique [0002] With the continuous development of my country's aerospace industry, the detection tasks undertaken by spacecraft are becoming more and more complex, and the types and quantities of space payloads carried are increasing. Thin-walled components can bear larger loads at a lower weight cost, and are widely used in space payloads and spacecraft platforms. However, thin-walled components are often the most important source of structural vibration and noise due to their low stiffness, small damping, and large radiation area. The surface damping treatment technology based on viscoelastic damping materials can effectively suppress the structural broadband vibration noise, and has less changes to the original structure, and is easy to implement. It has been widely us...

AI Technical Summary

Problems solved by technology

Topology optimization for constrained damping structures is still in the theoretical research stage and has not been applied to engineering practice, mainly due to the low accuracy and time-consuming sensitivity analysis, which makes it impossible to efficiently iterate to the optimal result

Images