通过声辐射模态计算矩形薄板的模态辐射效率

模态辐射效率是评价振动结构声辐射能力的一项重要指标。结构振动引起的声辐射问题是声学中一个长期的研究课题。评价振动结构的声辐射能力的一项重要指标就是模态辐射效率。通过声辐射模态理论,推导了任意边界条件下矩形薄板模态辐射效率的计算方法,通过计算方法可以直接得到模态辐射效率的数值解,而不需要进行数值积分。最后,以四边简支、四边固定、对边简支和对边固定、三边固定和一边自由矩形板为例,进行数值计算和分析。通过与前人的计算结果比较,验证了方法的有效性。

The modal radiation efficiency is an important indicator to evaluate vibration structure sound radiation ability.The structure-borne sound is a persistent problem in acoustics.The modal radiation efficiency is one of the most important indexes to evaluate the sound radiation of the vibrating structures.The radiation efficiency of the structural vibration modes of rectangular plates under arbitrary boundary conditions has been determined based on radiation mode approach.The solution to modal radiation efficiency can be directly obtained without any numerical integration.With examples of rectangular plates under boundary condition（a）simply supported,（b）clamped,（c）two opposing ends clamped while the other two ends are simply supported,and（d） three ends clamped and another end is free,numerical results on the radiation efficiency for proposed approach has been obtained for various mode orders.The accurate and effective of the proposed method are verified by comparing the results given in the literature.

模态辐射效率，结构振动模态，边界条件，声辐射模态，Modal Radiation Efficiency，Structural Vibration Mode，Boundary Condition，Radiation Mode。

通过声辐射模态计算矩形薄板的模态辐射效率。