Topology Optimization of Hard-Coating Thin Plate for Maximizing Modal Loss Factors

Abstract

At present, hard coating structures are widely studied as a new passive damping method. Generally, the hard coating material is completely covered on the surface of the thin-walled structure, but the local coverage cannot only achieve better vibration reduction effect, but also save the material and processing costs. In this paper, a topology optimization method for hard coated composite plates is proposed to maximize the modal loss factors. The finite element dynamic model of hard coating composite plate is established. The topology optimization model is established with the energy ratio of hard coating layer to base layer as the objective function and the amount of damping material as the constraint condition. The sensitivity expression of the objective function to the design variables is derived, and the iteration of the design variables is realized by the Method of Moving Asymptote (MMA). Several numerical examples are provided to demonstrate that this method can obtain the optimal layout of damping materials for hard coating composite plates. The results show that the damping materials are mainly distributed in the area where the stored modal strain energy is large, which is consistent with the traditional design method. Finally, based on the numerical results, the experimental study of local hard coating composites plate is carried out. The results show that the topology optimization method can significantly reduce the frequency response amplitude while reducing the amount of damping materials, which shows the feasibility and effectiveness of the method.

Vibration Analysis and Damping Effect of Blade-Hard Coating Composite Structure Based on Base Excitation

“…The application of hard coatings in the existing literature mostly focuses on simplifying coated discs [5][6][7][8][9][10][11][12][13][14][15], straight blades [16][17][18][19][20][21], plates [22][23][24][25][26], thin shells [27][28][29][30], and disk drums [31]. Yan et al [5] proposed using virtual layers to simulate changes in coating thickness and analyzed the impact of coating thickness on the natural frequency and forced response of actual disks.…”

“…Rouleau et al [21] established a FEM of a blade with a viscoelastic sector, considering the frequency and temperature dependence of viscoelastic materials to study the effects of temperature and rotational speed on damping. Luo et al [22] proposed a method to reduce the amount of damping material used and conducted experiments to verify it. Tassini et al [23,24] indicated that stabilized zirconia (YSZ) coatings have amplitude-dependent mechanical properties and nice damping characteristics.…”