具有约束层阻尼贮液圆柱容器的耦振与减振特性分析

该文在对空圆柱层合壳(不充液)振动分析研究的基础上,借助线性势流理论,进一步考虑液固耦合效应,导出了敷有CLD贮液圆柱层合壳谐耦振的一阶常微分矩阵方程,该方程右边多了液动压力项.由于它不能预先给定,导致方程中出现未知项.为了克服这一困难,文中研究了液动压力的解式,并采用新型齐次扩容精细积分技术,提出了一种高效率和高精度的半解析半数值解法.进而还求解了CLD贮液圆柱容器在地面谐运动激励下的响应;通过大量数值计算分析了CLD的厚度、长度、敷设位置以及粘弹芯的复剪切模量对减振效果的影响.计算还表明了有液体的存在,这些影响和空容器时是不一样的.文中方法为CLD贮液容器的控制优化提供了有力手段.

ANALYSES OF COUPLED VIBRATION AND DAMPING EFFECT OF LIQUID-FILLED CIRCULAR CYLINDRICAL CONTAINERS WITH CONSTRAINED VISCOELASTIC LAYER

Based on analyzing the vibration of CLD empty circular cylindrical shells (no liquid filled), the governing equation describing coupled vibration of liquid-filled circular cylindrical containers with a constrained viscoelastic layer under harmonic excitation,which can also be written in a matrix differential e-quation of first order,is derived by considering interaction between the container and liquid. In order to o-vercome the difficulty induced by the presence of the hydrodynamic pressure unknown,a Bessel functions series solution satisfying the liquid field equation and the given boundary conditions,which involves a set of unknown coefficients, is obtained under the frame of potential flow model. Then a new matrix method for solving this governing equation of first order is presented by means of the extended homogeneous capacity precision integration approach. Its difference from the recent works is that the state vector in governing e-quation is composed of the displacements and partial internal forces and that the present method can be applied to solve the liquid-shell coupling problems of sandwich cylindrical shells with partially constrained layer damping (CLD). Furthermore,the effects of the coverage percent,location and thickness of CLD and complex shear modulus of the viscoelastic core on amplitude reduction are discussed here.Numerical examples show that the proposed approach is effective and reliable compared with the finite element methods.