Vibration suppression of magnetostrictive laminated beams resting on viscoelastic foundation  

作　　者：A.M.ZENKOUR H.D.EL-SHAHRANY 

机构地区：[1]Department of Mathematics,Faculty of Science,King Abdulaziz University,Jeddah 21589,Saudi Arabia [2]Department of Mathematics,Faculty of Science,Kafrelsheikh University,Kafrelsheikh 33516,Egypt [3]Department of Mathematics,Faculty of Science,Bisha University,Bisha 61922,Saudi Arabia

出　　处：《Applied Mathematics and Mechanics(English Edition)》2020年第8期1269-1286,共18页应用数学和力学（英文版）

摘　　要：The vibration suppression analysis of a simply-supported laminated composite beam with magnetostrictive layers resting on visco-Pasternak’s foundation is presented.The constant gain distributed controller of the velocity feedback is utilized for the purpose of vibration damping.The formulation of displacement field is proposed according to Euler-Bernoulli’s classical beam theory(ECBT),Timoshenko’s first-order beam theory(TFBT),Reddy’s third-order shear deformation beam theory,and the simple sinusoidal shear deformation beam theory.Hamilton’s principle is utilized to give the equations of motion and then to describe the vibration of the current beam.Based on Navier’s approach,the solution of the dynamic system is obtained.The effects of the material properties,the modes,the thickness ratios,the lamination schemes,the magnitudes of the feedback coefficient,the position of magnetostrictive layers at the structure,and the foundation modules are extensively studied and discussed.

关 键 词：vibration suppression laminated composite beam magnetostrictive material visco-Pasternak’s foundation 

分 类 号：O343[理学—固体力学]