考虑剪切效应及阻尼时双模量梁的动载荷计算

CALCULATION OF DYNAMIC LOAD IMPACT OF BIMODULOUS BEAM WITH CONSIDERATION OF SHEAR EFFECT AND DAMPING

  • 摘要: 在考虑剪切效应及阻尼的基础上,采用线性振动理论研究了双模量梁动载荷问题的冲击计算. 建立了双模量梁动载荷问题的振动微分方程,推导出了双模量梁动载荷问题的动位移、动载荷系数、冲击时间的表达式,并讨论分析了剪切效应及阻尼对双模量梁动载荷冲击问题的影响. 算例分析表明,对于某些双模量梁动载荷冲击问题,剪切效应及阻尼的影响是不能忽略的.

     

    Abstract: With consideration of shear effect and damping, the dynamic load impact of bimodulous beam is calculated based on the linear vibration theory. The vibration differential equation for the dynamic load problem of the bimodulous beam is established. The expressions of the dynamic displacement, the dynamic load factor and the impact time in the dynamic load problem of the bimodulous beam are derived. And the influence of the shear effect and the damping on the dynamic load impact of the bimodulous beam is analyzed. The computational results indicate that the influence of the shear effect and the damping on the dynamic load impact of the bimodulous beam can not be ignored in some cases.

     

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