Asymptotic differential quadrature solutions for the free vibration of laminated conical shells

2000 ◽  
Vol 25 (4) ◽  
pp. 346-357 ◽  
Author(s):  
C. -P. Wu ◽  
C. -H. Wu
Keyword(s):  
Free Vibration ◽  
Differential Quadrature ◽  
Conical Shells ◽  
Laminated Conical Shells

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.

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

Dynamic Analysis and Critical Speed of Pressurized Rotating Composite Laminated Conical Shells Using Generalized Differential Quadrature Method

2010 ◽  
Vol 26 (1) ◽  
pp. 61-70 ◽  
Author(s):  
M. Ghayour ◽  
S. Ziaei Rad ◽  
R. Talebitooti ◽  
M. Talebitooti
Keyword(s):  
Boundary Conditions ◽  
Differential Quadrature Method ◽  
Equations Of Motion ◽  
Free Vibration Analysis ◽  
Differential Quadrature ◽  
Quadrature Method ◽  
Conical Shells ◽  
Generalized Differential Quadrature Method ◽  
Generalized Differential ◽  
Laminated Conical Shells

AbstractFree vibration analysis of rotating composite laminated conical shells with different boundary conditions using the generalized differential quadrature method (GDQM), is investigated. Equations of motion are derived based on Love's first approximation theory by taking the effects of initial hoop tension and the centrifugal and Coriolis acceleration due to rotation and initial uniform pressure load into account. Then, the equations of motion as well as the boundary condition equations are transformed into a set of algebraic equation applying the GDQM. The results are obtained for the frequency characteristics of different orthotropic parameters, rotating velocities, cone angles and boundary conditions. The presented results are compared with those available in the literature and good agreements are achieved.

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