求解圆柱壳弯曲振动声辐射问题的一种近似解析法

An Approximate Analytical Method for Bending Vibration and Acoustic Radiation of Long Cylindrical Shell

  • 摘要: 圆柱壳梁式弯曲振动是一种常见模态,其基于摆动柱声辐射理论。通过引入修正因子,将无限长柱的声压计算转换到有限长柱的声压计算中,提出一种求解圆柱壳弯曲振动声辐射问题的近似解析法。结合算例,计算了其弯曲振动的远场声学特性,并与广泛应用的边界元进行了比较。结果表明,两者具有较好的一致性,近似解析法简单快速,可作为工程评定方法。

     

    Abstract: Bending vibration is an ordinary modal of the cylindrical shell.Based on the theory of sound radiation of oscillating cylinder,the acoustic radiation of finite cylindrical shell was transformed from infinite cylinder by introducing a modifying factor,an approximate analytical method for solving bending vibration and acoustic radiation of cylindrical shell was proposed.Taking a special long power cabin as an example,the characteristic of far filed acoustic pressure was calculated by the proposed method and boundary element method.The results show the two methods agree well.The proposed method has the advantages of convenient and fast,and it is suitable for engineering evaluation.

     

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