Semi-analytical dynamic modeling and vibration reduction topology optimization of the bolted thin plate with partially attached constrained layer damping

Abstract

In this paper, the double-lap bolted plate is used to simulate the fully unfolded state of solar panels, and the method of vibration suppression by attaching constrained layer damping (CLD) is studied. Firstly, based on the principle of interlaminar shear deformation, the semi-analytical dynamic model of the double-lap bolted thin plate with partial CLD is established by using Hamilton’s principle. The stress–strain relationship of the CLD is derived. Then, complex spring elements and modified mass are proposed to simulate the interface mechanical behavior and mass effect of the double-lap joint. Moreover, the orthogonal polynomial is introduced as the displacement admissible function. Based on the Evolutionary Structural Optimization (ESO) method, the topology optimization model of the bolted thin plate with CLD is established by taking the maximum sum of the modal loss factors as the optimization objective and the attachment volume as the constraint condition, and processing the optimized results in a convolutional way. After that, a case study is carried out, and the experimental system is established to prove the rationality of the semi-analytical model and attaching CLD to vibration reduction. Finally, the topology optimization is conducted, which verifies that the topology configuration has a better vibration reduction effect.