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Nonlinear Stability Analysis of Eccentrically Stiffened Functionally Graded Truncated Conical Sandwich Shells with
Duc-Kien Thai1, Tran Minh Tu2, Le Kha Hoa3,4
1Department of Civil and Environmental Engineering, Sejong University, 98 Gunja-dong, Gwangjin-gu, Seoul 143-747, Korea. thaiduckien@sejong.ac.kr.
Materials (Basel, Switzerland)
|November 9, 2018
Summary
This study investigates the nonlinear buckling of porous, stiffened, functionally graded sandwich conical shells on an elastic foundation. Results reveal key factors influencing shell stability under axial compression.
Area of Science:
- Mechanical Engineering
- Materials Science
- Structural Analysis
Background:
- Sandwich conical shells with porous cores and functionally graded (FG) layers offer tunable properties for advanced applications.
- Understanding nonlinear buckling and post-buckling behavior is crucial for safe structural design under load.
- Eccentric stiffeners and elastic foundations significantly influence shell mechanics.
Purpose of the Study:
- To analyze the nonlinear buckling and post-buckling response of porous eccentrically stiffened FG sandwich truncated conical shells.
- To investigate the impact of porosity, FG material distribution, stiffeners, and elastic foundation on shell stability.
- To derive explicit expressions for critical buckling and post-buckling load-deflection curves.
Main Methods:
- Application of classical shell theory and the smeared stiffeners technique.
- Inclusion of von Kármán geometrical nonlinearity in the governing equations.
- Utilizing the Galerkin method and a displacement-based approach to solve for buckling and post-buckling loads.
Main Results:
- Obtained explicit expressions for critical buckling load and post-buckling load-deflection behavior.
- Demonstrated the influence of porosity coefficient, FG constituents, stiffener number, and elastic foundation parameters on shell stability.
- Validated the analytical model against existing literature data.
Conclusions:
- The study provides a comprehensive analysis of nonlinear buckling and post-buckling characteristics for a complex shell structure.
- Material properties, geometric parameters, and foundation stiffness are critical for predicting the stability limits.
- The developed model serves as a valuable tool for designing and optimizing such shells in engineering applications.
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