A generalized modal radiation impulse response approach is presented to evaluate the space-time surface velocity field, time-dependent force, instantaneous power, and energy transfer into a fluid resulting from the space-time force distribution of fluid loaded plate, shell, and panel structures. The basic approach utilizes the in vacuo eigenvectors of the structure to determine the in fluid response of the structure. Self-and mutual modal radiation impulse responses that couple the modal velocities of the fluid loaded structures are used to express the modal time-dependent velocities as a set of coupled convolution integral equations. A canonical fluid loaded single degree of freedom vibrator is addressed to illustrate the basic approach. A fluid loaded admittance impulse response is introduced and plays a central role in the analysis to evaluate the normal velocity resulting from a specified external force. A time-dependent energy equation is also introduced to investigate the temporal evolution of the internal energy loss and the energy transfer to the fluid. Numerical results are presented for an impulsive excitation of the fluid loaded single degree of freedom vibrator which serves as a canonical problem for investigating the response of complex structures.

中文翻译：

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通过广义模态辐射脉冲响应方法从受力流体加载的弹性壳/面板结构中获取与时间有关的声能

提出了一种广义模态辐射脉冲响应方法来评估时空表面速度场，随时间变化的力，瞬时功率以及由加载流体的板，壳和面板的时空力分布所导致的向流体中的能量转移结构。基本方法是利用真空结构的特征向量确定结构的流体响应。耦合流体加载结构的模态速度的自模态和互模态辐射脉冲响应被用来表示模态随时间变化的速度，作为一组耦合的卷积积分方程。解决了规范流体加载的单自由度振动器的问题，以说明基本方法。引入了流体加载的导纳脉冲响应，并在分析中评估中心作用，以评估由指定外力产生的法向速度。还引入了随时间变化的能量方程，以研究内部能量损失的时间演变以及能量向流体的传递。