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Multi-objective optimization of the active constrained layer damping for smart damping treatment in magneto-electro-elastic plate structures


Khuong-Duy Ly, Trung Nguyen-Thoi, Tam T. Truong, Sy-Ngoc Nguyen

Source title: 
International Journal of Mechanics and Materials in Design, 18: 633-663, 2022 (ISI)
Academic year of acceptance: 

A multi-objective optimization approach for optimal smart damping treatment of functionally graded magneto-electro-elastic plate (FGMEE) structures is investigated in the present study. The finite element method is employed to analyze the vibration responses of the FGMEE plate with active constrained layer damping (ACLD) treatment patches consisting of 1-3 piezoelectric composite (1-3 PZC) and a viscoelastic layer. An optimization solving process based on the nondominated sorting genetic algorithm II (NSGA-II) is employed to obtain Pareto-optimum solutions, which show the trade-off relationship between the peak vibration response of the first vibration mode and the structural weight. The design variables include the number and location of ACLD patches, as well as the fiber orientation angles of 1-3 PZC on the surface of the FGMEE plate, in which the piezoelectric fiber orientation angles are taken as discrete variables with the constraint on the manufacturing process. Several plate structures with various shapes are investigated through two numerical examples to demonstrate the effectiveness and reliability of the proposed approach.