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THERMOELASTIC FREE VIBRATION OF CLAMPED CIRCULAR PLATE

THERMOELASTIC FREE VIBRATION OF CLAMPED CIRCULAR PLATE
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摘要 An analysis was given for the free vibration of clamped circular plate when temperature and stress fields were coupled. a nonlinear differential equation about time was obtained by using Galerkin 's method. The numerical results of vibration amplitude vs time were compared with the uncoupled case. It is found that if the given initial displacement is small, the effect of thermoelastical coupling will make the natural frequency increase; if the given initial displacement is large, it will be the opposite case. Effects of some different vibration factors are also discussed. An analysis was given for the free vibration of clamped circular plate when temperature and stress fields were coupled. a nonlinear differential equation about time was obtained by using Galerkin 's method. The numerical results of vibration amplitude vs time were compared with the uncoupled case. It is found that if the given initial displacement is small, the effect of thermoelastical coupling will make the natural frequency increase; if the given initial displacement is large, it will be the opposite case. Effects of some different vibration factors are also discussed.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2000年第6期715-724,共10页 应用数学和力学(英文版)
基金 ShanxiNaturalScienceFoundation ( 9810 0 6) ShanxiResearchfoundationforreturnscholar.
关键词 nonlinear vibration thermoelastic vibration circular plate nonlinear vibration thermoelastic vibration circular plate
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二级参考文献3

  • 1戴德成,固体力学学报,1983年,3期,354页
  • 2戴德成.正交各向异性柱壳的非线性参数共振问题——多频共振问题研究的应用[J]固体力学学报,1983(03).
  • 3戴德成.弹性结构非线性动力学与动力稳定性问题的一个研究方法[J]南京工学院学报,1982(04).

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