scholarly journals Numerical analysis of free vibrations of laminated composite conical and cylindrical shells: Discrete singular convolution (DSC) approach

2007 ◽  
Vol 205 (1) ◽  
pp. 251-271 ◽  
Author(s):  
Ömer Civalek
Keyword(s):  
Numerical Analysis ◽  
Cylindrical Shells ◽  
Laminated Composite ◽  
Free Vibrations ◽  
Discrete Singular Convolution

Free Vibrations of Laminated Composite Noncircular Thin Cylindrical Shells

1994 ◽  
Vol 61 (4) ◽  
pp. 861-871 ◽  
Author(s):  
K. Suzuki ◽  
G. Shikanai ◽  
A. W. Leissa
Keyword(s):  
Equations Of Motion ◽  
Cylindrical Shells ◽  
Power Series Expansion ◽  
Laminated Composite ◽  
Energy Functional ◽  
Solution Procedure ◽  
Free Vibrations ◽  
Layer Stacking ◽  
Kinetic Energy Functional ◽  
Energy Principles

An exact solution procedure is presented for solving free vibration problems for laminated composite noncircular cylindrical shells. Based on the classical lamination theory, strain energy and kinetic energy functional are first derived for shells having arbitrary layer stacking sequences. These functional are useful for a general analysis based upon energy principles. However, in the present work equations of motion and boundary conditions are obtained from the minimum conditions of the Lagrangian (Hamilton’s principle). The equations of motion are solved exactly by using a power series expansion for symmetrically laminated, cross-ply shells having both ends freely supported. Frequencies are presented for a set of elliptical cylindrical shells, and the effects of various parameters upon them are discussed.

Dynamic Response of Laminated Composite Shells Under Radial or Hydrostatic Pressures

1974 ◽  
Vol 96 (4) ◽  
pp. 299-304
Author(s):  
M. W. Wilcox ◽  
O. B. Abhat
Keyword(s):  
Dynamic Response ◽  
Cylindrical Shells ◽  
Laminated Composite ◽  
Free Vibrations ◽  
Initial Stresses ◽  
Vibratory Response ◽  
Structural Applications ◽  
Laminated Composite Materials ◽  
Circular Cylindrical Shells ◽  
Laminated Composite Shells

The increased usage of laminated, composite materials in structural applications has resulted in the necessity of analytical investigations of these structures with respect to their static and dynamic response. An important vibration problem of thin cylindrical shells is the prediction of vibratory response of such shells subjected to membrane stresses. These stresses may be due to pressures, axial compressions, torques, temperatures, etc. This paper is aimed at the development of an analytical method to treat the free vibrations of laminated-composite, circular, cylindrical shells subjected to initial stresses.

Numerical analysis of free vibrations of rectangular plates based on different approaches

2019 ◽  
pp. 33-41
Author(s):  
Oleksandr Grigorenko ◽  
◽  
Maksym Borysenko ◽  
Olena Boychuk ◽  
Volodymyr Novytskyi ◽  
...  
Keyword(s):  
Numerical Analysis ◽  
Free Vibrations ◽  
Rectangular Plates

scholarly journals Vibration of rotating circular cylindrical shells with distributed springs

2021 ◽  
Vol 37 ◽  
pp. 346-358
Author(s):  
Fuchun Yang ◽  
Xiaofeng Jiang ◽  
Fuxin Du
Keyword(s):  
Boundary Conditions ◽  
Galerkin Method ◽  
Shell Theory ◽  
Rotation Speed ◽  
Cylindrical Shells ◽  
Free Vibrations ◽  
Governing Equations ◽  
Natural Response ◽  
Circular Cylindrical Shells ◽  
The Galerkin Method

Abstract Free vibrations of rotating cylindrical shells with distributed springs were studied. Based on the Flügge shell theory, the governing equations of rotating cylindrical shells with distributed springs were derived under typical boundary conditions. Multicomponent modal functions were used to satisfy the distributed springs around the circumference. The natural responses were analyzed using the Galerkin method. The effects of parameters, rotation speed, stiffness, and ratios of thickness/radius and length/radius, on natural response were also examined.

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