Free Vibration of Axially Loaded Laminated Conical Shells

1999 ◽  
Vol 66 (3) ◽  
pp. 758-763 ◽  
Author(s):  
L. Tong
Keyword(s):  
Free Vibration ◽  
Axial Load ◽  
Governing Equations ◽  
Load Effect ◽  
Critical Buckling Load ◽  
Conical Shells ◽  
Axial Tension ◽  
Axially Loaded ◽  
Constant Axial Load ◽  
Laminated Conical Shells

Analytical solutions for the three displacements are obtained, in the form of power series, directly from the three governing equations for free vibration of laminated conical shells under axial load. Numerical results are presented for free vibration of axially loaded laminated conical shells with different geometric parameters and under two types of boundary conditions. It is found that an axial tension increases the frequencies while an axial compression decreases the frequencies. For the shells studied, the effect of axial load on the lowest frequency of the shell is found to be not sensitive to change in semivertex angle when the applied axial load is kept as a constant fraction of the critical buckling load. However, the axial load effect becomes very sensitive to variation in semivertex angle when a constant axial load is applied.

Effect of Axial Load on Free Vibration of Orthotropic Truncated Conical Shells

1996 ◽  
Vol 118 (2) ◽  
pp. 164-168 ◽  
Author(s):  
L. Tong
Keyword(s):  
Axial Load ◽  
Compressive Load ◽  
Free Vibrations ◽  
Governing Equations ◽  
Conical Shells ◽  
Material Parameters ◽  
Axial Tension ◽  
Wave Numbers ◽  
Axially Loaded ◽  
Circumferential Wave

An analytical solution in the form of a power series is obtained for the three governing equations of free vibrations of axially loaded orthotropic conical shells. Numerical results are presented for the frequency parameters and the associated circumferential wave numbers of the axially loaded shells with different geometric and material parameters and under two types of boundary conditions. It is noted that the axially compressive load decreases the frequency parameters while the axial tension load increases the frequency parameters.

Frequency Analysis of Rotating Conical Panels: A Generalized Differential Quadrature Approach

2003 ◽  
Vol 70 (4) ◽  
pp. 601-605 ◽  
Author(s):  
T. Y. Ng ◽  
H. Li ◽  
K. Y. Lam ◽  
C. F. Chua
Keyword(s):  
Free Vibration ◽  
Frequency Analysis ◽  
Rotation Frequency ◽  
Frequency Characteristics ◽  
Differential Quadrature ◽  
Governing Equations ◽  
Conical Shells ◽  
Shell Panel ◽  
Generalized Differential ◽  
Special Case

Based on the generalized differential quadrature (GDQ) method, this paper presents, for the first instance, the free-vibration behavior of a rotating thin truncated open conical shell panel. The present governing equations of free vibration include the effects of initial hoop tension and the centrifugal and Coriolis accelerations due to rotation. Frequency characteristics are obtained to study in detail the influence of panel parameters and boundary conditions on the frequency characteristics. Further, qualitative differences between the vibration characteristics of rotating conical panels and that of rotating full conical shells are investigated. To ensure the accuracy of the present results using the GDQ method, comparisons and verifications are made for the special case of a stationary panel.

Free vibration of anti-symmetric angle-ply laminated conical shells

2015 ◽  
Vol 122 ◽  
pp. 488-495 ◽  
Author(s):  
K.K. Viswanathan ◽  
Saira Javed ◽  
Kandasamy Prabakar ◽  
Z.A. Aziz ◽  
Izliana Abu Bakar
Keyword(s):  
Free Vibration ◽  
Conical Shells ◽  
Laminated Conical Shells

Axially Loaded Timoshenko Rotors From a Prestressed Continuum Approach

2008 ◽  
Author(s):  
Pradeep Mahadevan ◽  
Anindya Chatterjee
Keyword(s):  
Nonlinear Elasticity ◽  
Timoshenko Beam ◽  
Axial Load ◽  
Constant Speed ◽  
Governing Equations ◽  
Continuum Approach ◽  
Straightforward Application ◽  
Axially Loaded ◽  
The Continuum

We consider an axially loaded Timoshenko rotor rotating at a constant speed and derive its governing equations from a continuum viewpoint. The primary aim of this paper is to understand the source and role of gyroscopic terms, when the rotor is viewed not as a Timoshenko beam but as a genuine 3D continuum. We offer the primary insight that macroscopically observed gyroscopic terms may also, quite equivalently, be viewed as external manifestations of internally existing spin-induced prestresses at the continuum level. To demonstrate this idea with an analytical example (the Timoshenko rotor), we have studied the reliable equations of Choi et al. (Journal of Vibration and Acoustics, 114, 1992, 249–259). Using a straightforward application of our insight in the framework of nonlinear elasticity, we obtain equations that exactly match Choi et al. for the case with no axial load. For the case of axial preload, our straightforward formulation leads to a slightly different set of equations that have negligible numerical consequence for solid rotors. However, we offer a macroscopic, intuitive, justification for modifying our formulation so as to obtain the exact equations of Choi et al. with the axial load included.

Sign in / Sign up

Export Citation Format

Share Document