Collaborative optimization design method of constrained damping structure

Abstract

The invention relates to the technical field of structure optimization, in particular to a collaborative optimization design method of a constrained damping structure, which comprises the following steps of: constructing a collaborative optimization model of the constrained damping structure by taking maximization of a macrostructure modal loss factor as an optimization target; constructing a finite element model of a constrained damping microstructure, analyzing the equivalent density and the equivalent shear modulus of damping material cell elements based on a progressive homogenization method, and establishing a macroscopic finite element model of a periodic perforated constrained damping plate structure on the basis of the equivalent density and the equivalent shear modulus; calculating the sensitivity of the optimization target to the microcosmic design variable and the macrocosmic design variable; and filtering the sensitivity by adopting a filtering method with a variable filtering radius, and updating a design variable value by adopting a moving asymptotic line algorithm to obtain microscopic and macroscopic topological optimization configurations of the constrained dampingstructure. Under the condition that the usage amount of the constraint damping material is controlled, the damping characteristic of the constraint damping structure is effectively improved, and thegood vibration and noise reduction effect is achieved.

Description

technical field [0001] The invention relates to the technical field of structural optimization, in particular to a collaborative optimization design method for constrained damping structures. Background technique [0002] With the requirement of energy saving and environmental protection in modern industry, lightweight has become an important part of product design, and the problem of vibration and noise of plate and shell components has become increasingly prominent. The constrained damping structure effectively suppresses structural broadband vibration and noise, and has little change to the original structure, and is easy to implement. It has been widely used in the vibration and noise reduction of plate and shell components. [0003] The micro-macro synergistic optimization method of structure can combine material optimization and structure optimization to achieve the best match between material and structure and give full play to the potential of materials. However, th...

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Problems solved by technology

However, if the filter radius is too small, it may not be effective in suppressing the checkerboard pattern, and if the filter radius is too large, the optimization result may have more gray-scale units, making the optimization result difficult to process and manufacture.

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