Nonlinear vibration of Timoshenko FG porous sandwich beams subjected to a harmonic axial load  

作　　者：Milad Lezgi Moein Zanjanchi Nikoo Majid Ghadiri 

机构地区：[1]Department of Civil Engineering,Sharif University of Technology,Tehran 3413977348,Iran [2]Civil Engineering Department,K.N.Toosi University of Technology,Tehran 3413977348,Iran [3]Faculty of Engineering,Department of Mechanics,Imam Khomeini International University,Qazvin 3414896818,Iran

出　　处：《Earthquake Engineering and Engineering Vibration》2024年第3期649-662,共14页地震工程与工程振动（英文刊）

摘　　要：In this study,the instability and bifurcation diagrams of a functionally graded(FG)porous sandwich beam on an elastic,viscous foundation which is influenced by an axial load,are investigated with an analytical attitude.To do so,the Timoshenko beam theory is utilized to take the shear deformations into account,and the nonlinear Von-Karman approach is adopted to acquire the equations of motion.Then,to turn the partial differential equations(PDEs)into ordinary differential equations(ODEs)in the case of equations of motion,the method of Galerkin is employed,followed by the multiple time scale method to solve the resulting equations.The impact of parameters affecting the response of the beam,including the porosity distribution,porosity coefficient,temperature increments,slenderness,thickness,and damping ratios,are explicitly discussed.It is found that the parameters mentioned above affect the bifurcation points and instability of the sandwich porous beams,some of which,including the effect of temperature and porosity distribution,are less noticeable.

关 键 词：sandwich beam Timoshenko beam parametric excitation bifurcation diagrams dynamic instability 

分 类 号：TU311.3[建筑科学—结构工程]