| Axisymmetric free vibrations of infinite micropolar thermoelastic plate |
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| 作者姓名： | Rajneesh Kumar Geeta Partap |
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| 作者单位： | Department of Mathematics Kurukshetra University，Kurukshetra 136119，Haryana，India，Department of Applied Mathematics，Dr.B.R.Ambedkar National Institute of Technology，Jalandhar 144011，Punjab，India |
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| 摘 要： | The propagation of axisymmetric free vibrations in an infinite homogeneous isotropic micropolar thermoelastic plate without energy dissipation subjected to stress free and rigidly fixed boundary conditions is investigated. The secular equations for homogeneous isotropic micropolar thermoelastic plate without energy dissipation in closed form for symmetric and skew symmetric wave modes of propagation are derived. The different regions of secular equations are obtained. At short wavelength limits, the secular equations for symmetric and skew symmetric modes of wave propagation in a stress free insulated and isothermal plate reduce to Rayleigh surface wave frequency equation. The results for thermoelastic, micropolar elastic and elastic materials are obtained as particular cases from the derived secular equations. The amplitudes of displacement components, microrotation and temperature distribution are also computed during the symmetric and skew symmetric motion of the plate. The dispersion curves for symmetric and skew symmetric modes and amplitudes of displacement components, microrotation and temperature distribution in case of fundamental symmetric and skew symmetric modes are presented graphically. The analytical and numerical results are found to be in close agreement.
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| 收稿时间： | 16 May 2006 |
Axisymmetric free vibrations of infinite micropolar thermoelastic plate |
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| Rajneesh Kumar,Geeta Partap.Axisymmetric free vibrations of infinite micropolar thermoelastic plate[J].Applied Mathematics and Mechanics(English Edition),2007,28(3):369-369. |
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| Authors: | Rajneesh Kumar Geeta Partap |
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| Institution: | 1. Department of Mathematics,Kurukshetra University,Kurukshetra 136119,Haryana,India
2. Department of Applied Mathematics,Dr.B.R.Ambedkar National Institute of Technology,Jalandhar 144011,Punjab,India |
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| Abstract: | The propagation of axisymmetric free vibrations in an infinite homogeneous isotropic micropolar thermoelastic plate without energy dissipation subjected to stress free and rigidly fixed boundary conditions is investigated. The secular equations for homogeneous isotropic micropolar thermoelastic plate without energy dissipation in closed form for symmetric and skew symmetric wave modes of propagation are derived. The different regions of secular equations are obtained. At short wavelength limits, the secular equations for symmetric and skew symmetric modes of wave propagation in a stress free insulated and isothermal plate reduce to Rayleigh surface wave frequency equation. The results for thermoelastic, micropolar elastic and elastic materials are obtained as particular cases from the derived secular equations. The amplitudes of displacement components, microrotation and temperature distribution are also computed during the symmetric and skew symmetric motion of the plate. The dispersion curves for symmetric and skew symmetric modes and amplitudes of displacement components, microrotation and temperature distribution in case of fundamental symmetric and skew symmetric modes are presented graphically. The analytical and numerical results are found to be in close agreement. |
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| Keywords: | micropolar thermoelastic plate thermoelasticity without energy dissipation circular crested waves symmetric and skew symmetric amplitudes |
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