The radiation impulse response, which is the temporal Fourier transform of the radiation impedance, provides the basis for a convolution approach to evaluate the time-dependent force, instantaneous power, and energy transfer into the fluid resulting from a separable space-time normal velocity of a fluid loaded surface. After a brief review of the radiation impulse response approach to address such problems for planar radiators, several specific examples for planar radiators are addressed. General results for the temporal evolution of the energy from a baffled planar source of arbitrary shape with a specified space-time separable normal velocity distribution are developed. The case of a circular piston in an infinite rigid plane is then addressed to illustrate the time-dependent force, instantaneous power, and energy transfer into the fluid for pulsed velocity excitations. In particular, the energy exchange between the incompressible near field and the acoustic far field is addressed for the pulsed excitations.

中文翻译：

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平面辐射器通过广义辐射脉冲响应方法产生的与时间有关的声能和瞬时功率

辐射脉冲响应是辐射阻抗的时间傅立叶变换，它是卷积方法的基础，该卷积方法用于评估由时空可分离的时空法向速度导致的时变力，瞬时功率和能量转移到流体中。流体加载的表面。在简要讨论了用于解决平面辐射器的此类问题的辐射脉冲响应方法之后，提出了一些针对平面辐射器的具体示例。对于具有指定时空可分离法向速度分布的任意形状的带挡板的平面源的能量随时间演化的一般结果得到了发展。然后讨论了无限大刚性平面中圆形活塞的情况，以说明随时间变化的力，瞬时功率，和能量转移到流体中以进行脉冲速度激励。特别地，针对脉冲激励解决了不可压缩的近场和声远场之间的能量交换。