Vibration Response Characteristics of Quasi-Periodic Sandwich Beam with Magneto-Rheological Visco-Elastomer Core under Random Support Excitations

[+] Author and Article Information
Zuguang Ying

Department of Mechanics, School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, China

Y.Q. Ni

Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University, Kowloon, Hong Kong

Ronghua Huan

Department of Mechanics, School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, China

1Corresponding author.

ASME doi:10.1115/1.4039726 History: Received July 30, 2017; Revised March 13, 2018


The vibration control of a sandwich beam with supported mass subjected to random support motion excitations can be performed using magneto-rheological visco-elastomer core with adjustable dynamic properties. The period distributions of geometrical and physical parameters of the sandwich beam can improve its vibration response characteristics. To further improve characteristics or reduce responses, the quasi-periodic sandwich beam with supported mass under random excitations is studied. The facial layer thickness and core layer modulus of the sandwich beam are considered as quasi-period distributions. The partial differential equations for the horizontal and vertical coupling motions of the sandwich beam are derived, and converted into ordinary differential equations for multi-degrees-of-freedom vibration. The expressions of frequency response and response spectral densities of the sandwich beam are obtained. Numerical results are given to illustrate the greatly improvable vibration response characteristics of the sandwich beam and the outstanding relative reduction localization of anti-resonant responses. The proposed active quasi-period distribution and analysis method can be used for the vibration control design of sandwich beams subjected to random excitations.

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