矩形板声辐射预测中速度采样问题的研究

A study on velocity sampling for acoustical radiation prediction of rectangular plates

为减少系统的复杂度和成本,基于无限大障板上振动矩形板模型,研究了声辐射预测中板表面速度采样问题。从理论上分析了影响速度采样间隔选取的因素,得到了低频时采样间隔由振动模态决定,高频时采样间隔由振动频率决定的结论。数值结果显示临界频率应满足k_csinθ=const(k_c=2πF_c/c,F_c为临界频率,θ为观察点倾斜角,c为声波波速)的规律,并且通过数值模拟和实验验证了该规律的适用性。

To reduce the system complexity and the cost, the velocity sampling problem in the prediction of structural borne sound radiation was studied based on a baffled rectangular plate model. The factors affecting the choice of sampling interval were theoretically analyzed. It was found that the sampling interval is determined by the vibration mode at low frequency while the interval is determined by the vibration frequency at high frequency. The numerical results showed the critical frequency should satisfy such a rule that kc sin θ = const（Kc = 2πFc/c, Fc is the critical frequency, θ is the elevation angle of the observation point and c is the sound speed）, and the applicability of this rule was validated by the numerical simulations and the experiment.