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首页> 外文会议>1997 ASME design engineering technical conferences (DETC'97) >RELATIONSHIPS BETWEEN ACOUSTIC RADIATION MODES, COMPLEX ACOUSTIC POWER, AND RADIATION EFFICIENCY
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RELATIONSHIPS BETWEEN ACOUSTIC RADIATION MODES, COMPLEX ACOUSTIC POWER, AND RADIATION EFFICIENCY

机译：声辐射模式，复杂声功率和辐射效率之间的关系

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The paper explores the physical meaning underlying thernsurface complex acoustic power of a vibrating body, and itsrnrelationship to radiation efficiency under mono-frequencyrnoscillations. The vibrating can be the entire wetted surface, orrnonly a part of the surface with the remaining surface being heldrnrigid. The surface complex acoustic power can be computed byrnthe surface integral of pressure multiplying the complexrnconjugate of normal velocity. Based on the Gaussian Divergencerntheorem, it is shown that the real part of the complex power isrnthe power radiated into a far field, while that the imaginary partrnpertains to the volume integral of the difference between thernacoustic kinetic energy density with the potential energy densityrnover the volume between the vibrating surface and the far field.rnThe dynamical behavior of the acoustic field can be viewed as anrninfinite degree of freedom mass/spring/dashpot system, wherernthe mass and spring are the inertia effects and acousticrncompression effects of the acoustic particles and the dashpot isrndue to the plane wave relationship of the pressure waves at thernfar field that the acoustic energy propagates away from thernacoustic field. By the model of the mass /spring/dashpot system,rnthe phase angle of the complex acoustic power is identified as anrnindication of the ability of the vibrating surface to radiaternacoustic power. The phase angle of the complex power dependsrnon the distribution of the surface normal velocity. In order tornstudy the normal velocity profile in relation to the ability tornradiate acoustic energy, the previously established radiationrnmode (Chen and Ginsberg , 1995) is introduced and extended tornsituations in which a part of the surface is held rigid. Anrnorthogonal condition for the velocity radiation modes is alsornestablished such that arbitrary velocity profiles can berndecomposed into radiation modes. The acoustic modal radiationrnefficiency, defined as the radiated modal acoustic power dividedrnby the surface integral of mean square normal velocity, isrninvestigated in terms of the acoustic eigenvalue of that mode.rnSeveral different geometries of vibrating bodies are used torndemonstrate the correlation of radiation efficiencies torneigenvalues of radiation modes, which include a rectangularrnbaffled vibrating membrane, a box with only one of the sixrnsurfaces vibrating, a slender spheroidal body, and a sphericalrnbody. This correlation of acoustic radiation characteristics forrndifferent geometries is also demonstrated for a spheroidal bodyrnvibrating at some areas with other areas being held rigid .
机译：本文探讨了振动体地表复声功率的物理意义，以及它在单频振荡下与辐射效率的关系。振动可以是整个湿润的表面，也可以是仅一部分表面，而其余的表面则保持刚性。可以通过将压力的表面积分乘以法向速度的复共轭来计算表面复声功率。基于高斯散度定理，证明了复数功率的实部是辐射到远场的功率，而虚部则是声动能密度与势能密度之差的体积积分。声场的动力学行为可以看作是无限的自由度质量/弹簧/阻尼器系统，其中质量和弹簧是声粒子的惯性效应和声学压缩效应，而阻尼器是由于声能量从声场传播出去的远场压力波的平面波关系。通过质量/弹簧/阻尼器系统的模型，复声功率的相角被确定为振动表面对辐射声功率的能力的指示。复数功率的相角取决于表面法向速度的分布。为了研究与辐射声能的能力有关的法向速度分布，引入了先前建立的辐射模式（Chen and Ginsberg，1995），并扩展了其中部分表面保持刚性的扭曲状态。还建立了速度辐射模式的正交条件，从而可以将任意速度分布分解为辐射模式。声模态辐射效率定义为辐射模态声功率除以均方法线速度的表面积分，然后根据该模态的声学本征值进行研究。使用振动体的几种不同几何形状来证明辐射效率与辐射本征值的相关性模式，包括矩形挡板振动膜，仅具有六个振动面之一的盒子，细长的球形体和球形体。对于在某些区域振动而其他区域保持刚性的球形体，也证明了不同几何形状的声辐射特性的这种相关性。

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