Paper Title:
Free Vibration of a Cylindrical Shell with Varied Initial Stresses in Different Longitudinal Sections
  Abstract

An exact and closed-form solution is obtained for free vibration problems of homogeneous isotropic cylindrical shells, which is under arbitrary boundary conditions and with varied initial stresses in different longitudinal sections. First, the cylindrical shell is divided into multiple sub-shells according to their thicknesses and initial stresses. And the displacement functions of the sub-shell’s middle plane are expanded as trigonometric series in circumferential direction. Then, based on the simplified Donnell shell theory, a set of fundamental dynamic equations, which take initial stresses into accounts, is derived through Hamilton’s principle for each sub-shell. Correspondingly, boundary conditions and connection conditions are derived too. These equations and conditions are simplified through setting the displacements varied in harmonic form. Finally, through defining the state vector, the dynamic equations and solution-determine conditions are described as state-space forms and solved conveniently. Numerical examples validate this method. Driving process of analytical solutions show that it is convenient for introducing and dealing with solution-determine conditions and solving the dynamic problems of cylindrical shells with varied initial stresses in different longitudinal sections.

  Info
Periodical
Edited by
Zhou Mark
Pages
717-722
DOI
10.4028/www.scientific.net/AMM.52-54.717
Citation
D. K. Li, Y. J. Lei, "Free Vibration of a Cylindrical Shell with Varied Initial Stresses in Different Longitudinal Sections", Applied Mechanics and Materials, Vols. 52-54, pp. 717-722, 2011
Online since
March 2011
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Young Shin Lee, Hyun Soo Kim, C.H. Han
Abstract:An experimental modal analysis is the process to identify structure's dynamic characteristics. For investigating vibrational characteristics...
1617
Authors: Shao Hong Yang, An Wen Wang, Jing Wu, Fang Huang
Abstract:By use of the mixed layerwise theories and the interpolation functions of displacements and transverse stress, the dynamics equations of...
1249
Authors: Bing Ru Li, Xuan Yin Wang, Hui Liang Ge, Yue Peng Jiang
Chapter 6: Applied Mechanics and Mechanical Engineering
Abstract:Based on Donnell’s thin shell theory and basic equations, the wave propagation method is discussed here in detail, which is used to...
1325
Authors: Yan Qi Liu, Fu Lei Chu
Chapter 1: Vibration Engineering
Abstract:In this paper, the vibration characteristics of the rotating thin circular cylindrical shell subjected to the radial excitation are...
262
Authors: Zhi Wei Wang, Bo Wu, Yan Fu Wang, S.M. Bosiakov
Chapter 1: Advanced Technologies in Mechanical and Manufacturing Engineering
Abstract:In order to obtain approximate solution of natural frequencies for the free vibration of anisotropic circular cylindrical shells made of GFRP...
65