轴向受载的阶梯梁的振动

VIBRATIONS OF STEPPED BEAMS UNDER AXIAL LOADS

  • 摘要: 用奇异函数建立轴向受载的阶梯梁自由振动和强迫振动的微分方程并求得其通解,用W算子给出主振型函数的表达式及常见支承条件下粱的频率方程。对各种情况下的影响函数进行详细的讨论。文中给出的固有频率表达式表明,轴向载荷对梁的固有频率有影响。

     

    Abstract: Differential equations of free/forced vibrations of stepped beams under axial loads are established and the general solutions are obtained, The vibration mode function and frequency equations on usual supports are also derived, Influence functions for various cases are discussed in detail, It is found that frequencies of beams are influenced by axial force.

     

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