
퇴화 쉘요소를 사용한 원통형 복합재 패널의 비선형 좌굴후 현상해석
Abstract
In this study, the post - buckling analysis of cylindrical panel of isotropic material and composites was investigated. The arc-length nonlinear analysis method has been used for the analysis of post-buckling phenomena where snap-through and snap-back phenomenon occur. In this study, a method to find bifurcation point in buckling analysis using arc-length method is presented. The bifurcation point of the buckling was found in the cylindrical shell structure of isotropic material to ensure the reliability of the current approach. The bifurcation buckling point was successfully calculated with composites having extremely high structural instability. The formulations, mathematical model and analysis procedures and boundary conditions proposed in this study can be used as important data for the unstable buckling analysis of other structures.
Keywords:
Buckling, Composite, Bifurcation, Shell elementAcknowledgments
본 연구는 대구연구개발 특구 기술사업화과제(2018-DG-RD-0003-01-101)의 연구수행으로 진행되었습니다.
References
- Batdorf, S. B., 1947, A Simplified Method of Elastic-Stability Analysis for Thin Cylindrical Shells, 2-Modified Equilibrium Equation, NACA Technical Note 1342.
- Sobel, L. H., 1964, Effects of Boundary Conditions on the Stability of Cylinders Subject to Lateral and Axial Pressures, AIAA Journal, 2:8 1437-1440.
- Hoff, N. J., Soong, T. C., 1965, Buckling of Circular Cylindrical Shells in Axial Compression, International Journal of Mechanical Sciences, 7:7 489-520.
- Koiter, W. T., 1970, The Stability of Elastic Equilibrium, Technical Report AFFDL-TR-70-25.
- Wagner, W., Wriggers, P., 1988, A Simple Method for the Calculation of Postcritical Branches, Engineering Computations, 5:2 103-109.
- Wardle, B. L., Lagace, P. A., Tudela, M. A., 2004, Buckling of Transversely Loaded Composite Shells, Part 2: Numerical Analysis, AIAA Journal, 42:7 1464-1464.
-
Bayat, Y., EkhteraeiToussi, H., 2017, Exact Solution of Thermal Buckling and Post-Buckling of Composite and SMA Hybrid Composite Beam by Layerwise Theory, Aerospace Science and Technology, 67 484-494.
[https://doi.org/10.1016/j.ast.2017.04.029]
-
Kordkheili, S. A. H., Soltani, Z., 2018, A Layerwise Finite Element for Geometrically Nonlinear Analysis of Composite Shells, Composite Structures, 196 355-364.
[https://doi.org/10.1016/j.compstruct.2017.12.022]
-
Battini, J. M., Pacoste, C., Eriksson, A., 2003, Improved Minimal Augmentation Procedure for the Direct Computation of Critical Points, Computer Methods in Applied Mechanics and Engineering, 192 2169-2185.
[https://doi.org/10.1016/S0045-7825(03)00254-8]
-
Hu, H. T., Chen, H. C., 2018, Buckling Optimization of Laminated Truncated Conical Shells Subjected to External Hydrostatic Compression, Composite Prat B, 135 95-109.
[https://doi.org/10.1016/j.compositesb.2017.09.065]
-
Sayyad, A. S., Ghugal Y. M., 2017, Bending, Buckling and Free Vibration of Laminated Composite and Sandwich Beams: A Critical Review of Literature, Composite Structures, 171 486-504.
[https://doi.org/10.1016/j.compstruct.2017.03.053]
-
Sze, K. Y., Liu, X. H., Lo, S. H., 2017, Buckling, Postbuckling and Progressive Failure Analyses of Composite Laminated Plates Under Compressive Loading, Composite Part B, 120 143-151.
[https://doi.org/10.1016/j.compositesb.2017.03.066]
-
Ou, X., Zhang, X., Zhang, R., Yao, X., Han, Q., 2018, Weak Form Quadrature Element Analysis on Nonlinear Bifurcation and Post-Buckling of Cylindrical Composite Laminates, Composite Structures, 188 266-277.
[https://doi.org/10.1016/j.compstruct.2018.01.007]
-
Zhou, Y., Stanciulescu, I., Eason, T., Spottswood, M., 2015, Nonlinear Elastic Buckling and Postbuckling Analysis of Cylindrical Panels, Finite Elements in Analysis and Design, 96 41-50.
[https://doi.org/10.1016/j.finel.2014.12.001]
- Kim, Y. H., Han, S. Y., 2018, Topology Shape Optimization Scheme for Nonlinear Structures Based on Artificial Bee Colony Algorithm, Journal of the Korean Society of Manufacturing Technology Engineers, 27:4 329-338.