基于板梁组合理论,建立了正交加筋板声透射计算模型,并分析了正交加筋板的声振特性.将加强筋视为平板的动反力及动反力矩,引入到平板振动方程,得到了正交加筋板声振方程;利用空间谐波展开法及虚功原理,得到了正交加筋板透射损失和平均振动速度级表达式.在此基础上,首先研究了单向加筋板的隔声性能,理论结果与已有计算结果取得了很好的一致,验证了模型的有效性；并进一步研究了正交加筋的声振特性.研究表明,正交加筋板对垂直入射声波的隔声效果最好；增大加强筋惯性矩可提高其低频段透射损失;增大加强筋间距可提高正交加筋板的低频段振动响应,却降低了其低频透射损失,总体而言,增大加强筋间距可改善结构的整体隔声性能.%Based on the panel-beam combined theory, a panel-beam theoretical model is established for sound transmission through orthogonally stiffened panel and vibro-acoustic characteristics of the panel are analyzed. The vibro-acoustic equation of the structures was derived by firstly treating the stiffeners as reaction forces and moments on the panel and then inducing them into the vibration equation of the panel. The formulations of Transmission Loss (TL) and mean vibration velocity level for the structures were yielded according to the spatial harmonic expansion method and the virtual work principle. And then the developed model was applied to analyze sound insulation of the stiffened panel in one direction. The validity of the developed model was qualified by comparing those predictions with existing results. The model then employed to investigate the vi-bro-acoustic characteristics of the orthogonally stiffened panel. Results show that the orthogonally stiffened panel is more suitable for the insulation of sound waves with small incidence angle. An enlargement in the moment of inertia of stiffeners increases sound transmission loss in low frequency range. Larger stiffener spacing can enhance the vibration responses, but will decrease the TL in low frequency range; however, it obviously ameliorates the sound transmission in an overall sense.
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