Analysis of natural vibration of truncated conical shells partially filled with fluid

作     者：Sergey A.Bochkarev Sergey V.Lekomtsev 

作者机构：Laboratory of Functional MaterialsInstitute of Continuous Media MechanicsUral Branch of Russian Academy of SciencesPermRussian Federation 

出 版 物：《International Journal of Mechanical System Dynamics》 (国际机械系统动力学学报（英文）)

年 卷 期：2024年第4卷第2期

页      面：142-152页

核心收录：

学科分类：08[工学] 080101[工学-一般力学与力学基础] 0801[工学-力学（可授工学、理学学位）] 

基　　金：framework of the government task registration number of the theme Grant/Award Number:124020700047-3 

主　　题：classical shell theory conical shell Godunov's orthogonal sweep method ideal compressible fluid generalized differential quadrature method natural vibrations 

摘      要：In this paper,we study the vibrational behavior of shells in the form of truncated cones containing an ideal compressible *** sloshing effect on the free surface of the fluid is *** dynamic behavior of the elastic structure is investigated based on the classical shell theory,the constitutive relations of which represent a system of ordinary differential equations written for new *** fluid vibrations are described in terms of acoustic approximation using the wave equation for hydrodynamic pressure written in spherical *** transformation into the system of ordinary differential equations is carried out by applying the generalized differential quadrature *** formulated boundary value problem is solved by Godunov s orthogonal sweep *** frequencies of shell vibrations are calculated using the stepwise procedure and the Muller *** accuracy and reliability of the obtained results are estimated by making a comparison with the known numerical and analytical *** dependencies of the lowest frequency on the fluid level and cone angle of shells under different combinations of boundary conditions(simply supported,rigidly clamped,and cantilevered shells)have been studied *** conical straight and inverted shells,a numerical analysis has been performed to estimate the possibility of finding configurations at which the lowest natural frequencies exceed the corresponding values of the equivalent cylindrical shell.