Chebyshev collocation technique for vibration analysis of sandwich cylindrical shells with metal foam core

2020 ◽  
Vol 100 (5) ◽  
Author(s):  
Yan Qing Wang ◽  
Chao Ye ◽  
Junguang Zhu
Keyword(s):  
Vibration Analysis ◽  
Metal Foam ◽  
Cylindrical Shells ◽  
Foam Core ◽  
Chebyshev Collocation ◽  
Collocation Technique

Chebyshev Collocation Solutions for Vibration Analysis of Circular Cylindrical Shells with Arbitrary Boundary Conditions

2017 ◽  
Vol 17 (02) ◽  
pp. 1750020 ◽  
Author(s):  
Nuttawit Wattanasakulpong ◽  
Sacharuck Pornpeerakeat ◽  
Arisara Chaikittiratana
Keyword(s):  
Boundary Conditions ◽  
Vibration Analysis ◽  
Natural Frequencies ◽  
Equations Of Motion ◽  
Cylindrical Shells ◽  
Chebyshev Collocation Method ◽  
Arbitrary Boundary ◽  
Chebyshev Collocation ◽  
Various Boundary Conditions ◽  
Circular Cylindrical Shells

This paper applies the Chebyshev collocation method to finding accurate solutions of natural frequencies for circular cylindrical shells. The shells with different boundary conditions are considered in the parametric study. By using the method to solve the coupled differential equations of motion governing the vibration of the shell, numerical results are obtained from the algebraic eigenvalue equation using the Chebyshev differentiation matrices. And the results satisfy both the geometric and force boundary conditions. Based on the numerical examples, the proposed method shows its capacity and reliability in predicting accurate frequency results for circular cylindrical shells with various boundary conditions as compared to some exact solutions available in the literature.

Vibration Analysis of Rotating Laminated Cylindrical Shells

AIAA Journal ◽  
2007 ◽  
Vol 45 (8) ◽  
pp. 2051-2061 ◽  
Author(s):  
Hsuan-Teh Hu ◽  
Kou-Long Wang
Keyword(s):  
Vibration Analysis ◽  
Cylindrical Shells ◽  
Laminated Cylindrical Shells

Effective design of a sandwich beam with a metal foam core

2007 ◽  
Vol 45 (4) ◽  
pp. 432-438 ◽  
Author(s):  
E. Magnucka-Blandzi ◽  
K. Magnucki
Keyword(s):  
Metal Foam ◽  
Sandwich Beam ◽  
Foam Core ◽  
Effective Design

An accurate double-superposition global–local theory for vibration and bending analyses of cylindrical composite and sandwich shells subjected to thermo-mechanical loads

2011 ◽  
Vol 225 (8) ◽  
pp. 1816-1832 ◽  
Author(s):  
M Shariyat
Keyword(s):  
Vibration Analysis ◽  
Cylindrical Shells ◽  
High Order ◽  
Computational Time ◽  
Local Theory ◽  
Transverse Stress ◽  
Mechanical Loads ◽  
Local Technique ◽  
Sandwich Shells ◽  
First Time

Based on the idea of double superposition, an accurate high-order global–local theoryis proposed for bending and vibration analysis of cylindrical shells subjected to thermo-mechanical loads, for the first time. The theory has many novelties, among them: (1) less computational time due to the use of the global–local technique and matrix formulations; (2) satisfaction of the complete kinematic and transverse stress continuity conditions at the layer interfaces under thermo-mechanical loads; (3) consideration of the transverse flexibility; (4) release of Love–Timoshenko assumption; and (5) capability of investigating the local phenomena. Various comparative examples are included to validate the theory and to examine its accuracy and efficiency.

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