Topology Optimization of Constrained Layer Damping Structures Subjected to Stationary Random Excitation

Abstract

This paper deals with an optimal layout design of the constrained layer damping (CLD) treatment of vibrating structures subjected to stationary random excitation. The root mean square (RMS) of random response is defined as the objective function as it can be used to represent the vibration level in practice. To circumvent the computationally expensive sensitivity analysis, an efficient optimization procedure integrating the pseudoexcitation method (PEM) and the double complex modal superposition method is introduced into the dynamic topology optimization. The optimal layout of CLD treatment is obtained by using the method of moving asymptote (MMA). Numerical examples are given to demonstrate the validity of the proposed optimization procedure. The results show that the optimized CLD layouts can effectively reduce the vibration response of the structures subjected to stationary random excitation.

Position Optimization of Passive Patch Based on Mode Contribution Factor for Vibration Attenuation of Asymmetric 1D Structure

“…First, the relationship of motion between layers is considered a weak-core assumption, [21] is applied as the modulus of elasticity of the middle viscoelastic layer, it is smaller than that of the beam, and the constraint layer in the structure of the laminated layer in which the axial load is applied. Te longitudinal displacement of layer 1 and layer 3 has the following relationship:…”

“…To optimize the position of a passive patch, Zheng et al minimized the length and position of the patch by using a genetic algorithm based on the penalty function method [17,18]. Lei and Zheng have optimized the passive patch location through topological optimization of the penalization model [19,20], and Fang has used the level set method [21]. Araujo et al performed optimization using the Feasible Arc Interior Point Algorithm (FAIPA) to derive the maximum loss factor [22].…”

Microstructural Topology Optimization of Constrained Layer Damping on Plates for Maximum Modal Loss Factor of Macrostructures

“…Takezawa et al [26] proposed complex dynamic compliance as objective function for optimizing damping materials to reduce the resonance peak response. Fang et al [27] proposed an efficient optimization procedure integrating the Pseudoexcitation Method (PEM) and the double complex modal superposition method to optimize the layout of the CLD structures subjected to stationary random excitation. Chen and Liu [28] investigated the optimal microstructural configuration of the viscoelastic material to improve the damping characteristics of the macrostructures.…”