What is the effect of parabolic thermal gradient effect on the vibration of viscoelastic rectangular plates?
It is a fact that the variation in varying parameters of the plate strongly affects the frequency of the plate’s vibration. Vibrations of plate and plate type structures made up of composite materials have a significant role in various industrial mechanical structures, aerospace industries and other engineering applications. I recommend you to study the two dimensional thermal effect on the vibration of nonhomogeneous rectangular plate of variable thickness having clamped boundary, if you consider the other types of boundary condition, you should be aware of their consequences when you control the obtained results. You may assume that the temperature varies biparabolic i.e. parabolic in x-direction and parabolic in y-direction as well as the thickness may be considered to vary exponentially in x direction. Furthermore, density may be taken as the function of “x” due to nonhomogeneity present in the plate’s material. Rayleigh Ritz technique may be used to calculate the natural frequency for the modes of vibration for the various values of taper parameter, nonhomogeneity constant and thermal gradient. All the calculations can be carried out for an alloy or a metal by using mathematica
It is a fact that the variation in varying parameters of the plate strongly affects the frequency of the plate’s vibration. Vibrations of plate and plate type structures made up of composite materials have a significant role in various industrial mechanical structures, aerospace industries and other engineering applications. I recommend you to study the two dimensional thermal effect on the vibration of nonhomogeneous rectangular plate of variable thickness having clamped boundary, if you consider the other types of boundary condition, you should be aware of their consequences when you control the obtained results. You may assume that the temperature varies biparabolic i.e. parabolic in x-direction and parabolic in y-direction as well as the thickness may be considered to vary exponentially in x direction. Furthermore, density may be taken as the function of “x” due to nonhomogeneity present in the plate’s material. Rayleigh Ritz technique may be used to calculate the natural frequency for the modes of vibration for the various values of taper parameter, nonhomogeneity constant and thermal gradient. All the calculations can be carried out for an alloy or a metal by using mathematica
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