有限薄板面导纳的计算方法  

Calculation of Area Mobility of a Finite Thin Plate

作　　者：戴珏[1] 

机构地区：[1]深圳职业技术学院,深圳518055

出　　处：《机械科学与技术》2004年第3期309-311,共3页Mechanical Science and Technology for Aerospace Engineering

摘　　要：面导纳是对传统的点导纳 (或阻抗 )概念的一个新的发展 ,它在考虑了激励面积尺寸和激振力分布形态的影响后 ,能够比点导纳更准确地描述激振源与其支撑结构之间的能量传递的动态特性。但前期面导纳的研究主要是以无限大结构模型作为研究对象 ,所以其研究结果的应用受到一定条件的限制。本文根据工程实际的需要 ,以实际中最常见的有限矩形板为支撑结构 ,探索受到矩形大面积激励下二维面导纳的计算方法及振动能量传递的特性。本文中推导出了受均布力激励的有限薄板矩形面导纳的理论计算方法 ,并对两对边简支两对边自由的薄板模型进行了面导纳的计算。为了分析激励面积的形状对面导纳的影响 ,采用了两种不同长宽比的激励面积。通过对计算结果的分析和与无限大板面导纳的比较可以看出 ,无限板与有限板面导纳有明显的不同 。Area mobility is a new concept relative to traditional point mobility. Area mobility can be used to describe the dynamic characteristics of power transmission between exciting sources and supporting structures more accurately by considering the effects of the dimensions of excitation areas and the distributions of excitations. Previous research of area mobility is concentrated on the models of infinite structures, and the results obtained can be used only under certain conditions. In this paper, the calculation method of two-dimensional area mobility and power transmission over the excitation area are explored by using the model of a finite rectangular thin plate which is commonly seen in practical engineering. The theoretical method of calculation of the rectangular area mobility of a finite thin plate subject to uniform force excitation is derived. Examples with two opposite simply-supported edge and two opposite free edge rectangular plate are calculated. In the calculations, two different aspect ratios of the exciting areas are used to compare the effects of the shapes the exciting areas. By analyzing the calculated results and comparing to the results of the infinite plate, it can be seen that the area mobility of a finite plate is much different from that of an infinite plate.

关 键 词：面导纳 隔振 能量传递 

分 类 号：TB115[理学—数学]