Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/74795
Title: Stochastic vibration response of a sandwich beam with nonlinear adjustable visco-elastomer core and supported mass
Authors: Ying, ZG
Ni, YQ 
Duan, YF
Keywords: Nonlinear visco-elastomer core
Sandwich beam
Statistic linearization
Stochastic excitation
Stochastic nonlinear vibration
Issue Date: 2017
Publisher: Techno Press
Source: Structural engineering and mechanics, 2017, v. 64, no. 2, p. 259-270 How to cite?
Journal: Structural engineering and mechanics 
Abstract: The stochastic vibration response of the sandwich beam with the nonlinear adjustable visco-elastomer core and supported mass under stochastic support motion excitations is studied. The nonlinear dynamic properties of the visco-elastomer core are considered. The nonlinear partial differential equations for the horizontal and vertical coupling motions of the sandwich beam are derived. An analytical solution method for the stochastic vibration response of the nonlinear sandwich beam is developed. The nonlinear partial differential equations are converted into the nonlinear ordinary differential equations representing the nonlinear stochastic multi-degree-of-freedom system by using the Galerkin method. The nonlinear stochastic system is converted further into the equivalent quasi-linear system by using the statistic linearization method. The frequency-response function, response spectral density and mean square response expressions of the nonlinear sandwich beam are obtained. Numerical results are given to illustrate new stochastic vibration response characteristics and response reduction capability of the sandwich beam with the nonlinear visco-elastomer core and supported mass under stochastic support motion excitations. The influences of geometric and physical parameters on the stochastic response of the nonlinear sandwich beam are discussed, and the numerical results of the nonlinear sandwich beam are compared with those of the sandwich beam with linear visco-elastomer core.
URI: http://hdl.handle.net/10397/74795
ISSN: 1225-4568
EISSN: 1598-6217
DOI: 10.12989/sem.2017.64.2.259
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