Thermal-mechanical coupling vibration of a viscoelastic plate under a thermal shock
Thermally induced vibration in a viscoelastic square thin plate under a thermal excitation is investigated by a numerical method,and corresponding effects of thermal-mechanical coupling on the vibration of the plate are partly taken into consideration.The excitation is in the form of a suddenly applied laser pulse (thermal shock) which cover whole lower surface of the plate.The resulting temperature is assumed to be independent of two coordinate variables ( x and y ) in mid-plane of the plate,and variations of the temperature are predicted using both the wave heat conduction model ( hyperbolic model,non-Fourier model ) and the classical heat conduction model ( parabolic model,FourieT model ).The resulting heat conduction equation,with the thermal-mechanical coupling term expressed by deflection of the plate,is coupled with the motion equation of the plate.And the two coupled equations are synchronously solved numerically using the finite difference method to calculate both the temperature distributions within the plate and the transient variations in the deflections.The effects of some significant parameters,such as coupling parameter,viscoelastic parameter,etc.,on the temperatures and/or the deflections of the plate are analyzed and discussed in detail.The results of the numerical calculations show that the vibration amplitudes of the temperatures and the quasi-static deflections of the plate are weakened by the thermal-mechanical coupling term,and with the increase of numerical value of the viscoelastic parameter,the amplitude of damped vibration in dynamic deflection of the plate increases to some extent.
Thermal shock Thermal-mechanical coupling vibration Viscoelastic thin plate Wave heat conduction model Finite difference method
HaoHu
School of Civil Engineering and Architecture,Changsha University of Science and Technology,Changsha 410004,China
国际会议
成都
英文
337-342
2009-10-16（万方平台首次上网日期，不代表论文的发表时间）