Hostname: page-component-7479d7b7d-jwnkl Total loading time: 0 Render date: 2024-07-12T11:26:59.213Z Has data issue: false hasContentIssue false

Nonlinear transient analysis of moderately thick rectangular composite plates

Published online by Cambridge University Press:  03 February 2016

H. Tanriöver
Affiliation:
senocak@itu.edu.tr., Istanbul Technical University, Department of Mechanical Engineering, Istanbul, Turkey
E. Şenoca
Affiliation:
senocak@itu.edu.tr., Istanbul Technical University, Department of Mechanical Engineering, Istanbul, Turkey

Abstract

This paper presents an analytical-numerical methodology for the geometrically nonlinear analysis of laminated composite plates under dynamic loading. The methodology employs Galerkin technique, in which suitable polynomials are chosen as trial functions. In the solution process, Newmark’s scheme for time integration, and modified Newton-Raphson method for the solution of resulting nonlinear equations are used. In the formulation, first order shear deformation theory based on Mindlin’s hypothesis and von Kármán type geometric nonlinearity are considered. The results are compared to that of finite strips, and Chebyshev series published elsewhere. The method is found to determine closely both the displacements and the stresses. A finite element analysis has also been carried out for the validation of the results. The present method can be efficiently and easily applied for the nonlinear transient analysis of laminated composite plates with various boundary conditions.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 2010 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Akay, H.U., Dynamic large deflection analysis of plates using mixed finite elements, Computers and Structures, 1980, 11, pp 111.Google Scholar
2. Reddy, J.N., Geometrically nonlinear transient analysis of laminated composite plates, AIAA J, 1983, 21, (4), pp 621629.Google Scholar
3. Ali, S.A. and Al-Noury, S., Nonlinear dynamic response of rectangular plates, Computers and Structures, 1986, 22, (3), pp 433437.Google Scholar
4. Carrera, E. and Krause, H., Investigation of non-linear dynamics of multilayered plates accounting for requirements, Computers and Structures, 1998, 69, pp 473486.Google Scholar
5. Chen, J., Dawe, D.J. and Wang, S., Nonlinear transient analysis of rectangular composite laminated plates, Composite Structures, 2000, 49, pp 129139.Google Scholar
6. Shukla, K.K. and Nath, Y., Non-linear transient analysis of moderately thick laminated composite plates, J Sound and Vibration, 2001, 247, (3), pp 509526.Google Scholar
7. Kirby, R.M. and Yosibash, Z., Solution of von Kármán dynamic nonlinear plate equations using a pseudo-spectral method, Computer Methods in Applied Mechanics and Engineering, 2004, 193, pp 575599.Google Scholar
8. Reddy, J.N., Mechanics of Laminated Composite Plates, CRC Press, New York, USA, 1997.Google Scholar
9. Sathyamoorthy, M., Nonlinear Analysis of Structures, CRC Press, New York, USA, 1998.Google Scholar
10. Quasi, M.I., Large amplitude response of rectangular plates subjected to transient loads, Applied Acoustics, 1994, 42, pp 267276.Google Scholar
11. Saadatpour, M.M., Azhari, M. and Bradford, M.A., Vibration analysis of simply supported plates of general shape with internal point and line supports using the Galerkin method, Engineering Structures, 2000, 22, pp 11801188.Google Scholar
12. Nakatani, A., Shi, J.W. and Kitagawa, H., Vibration analysis of fully clamped arbitrarily laminated plate, Composite Structures, 2004, 63, pp 115122.Google Scholar
13. Tanriöver, H. and Şenocak, E., Large deflection analysis of unsym-metrically laminated composite plates: analytical-numerical type approach, Int J Non-Linear Mechanics, 2004, 39, (8), pp 13851392.Google Scholar
14. Tanriöver, H. and Şenocak, E., Dynamic nonlinear behavior of composite plates, In Malla, R.B. and Maji, A. (Eds), Proceedings of ASCE Aerospace Division International Conference on Engineering, Construction and Operations in Challenging Environments, pp 519525, Houston, TX, USA, 2004.Google Scholar
15. Abaqus User’s Examples and Theory Manual, Version 6.4, 2003.Google Scholar
16. Mindlin, R.D., Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates, J Applied Mechanics, 1951, 18, pp 3138.Google Scholar
17. Novozhilov, V.V., Foundations of The Nonlinear Theory of Elasticity, Graylock Press, Rochester, New York, USA, 1953.Google Scholar
18. Whitney, J.M., Structural Analysis of Laminated Anizotropic Plates, Technomic Publ. Co, PA, USA, 1987.Google Scholar
19. Newmark, N.M., A method of computation for structural dynamics, J Engineering Mechanics Division, 1959, 8, pp 6794.Google Scholar
20. Wolfram, S., Mathematica: A System for Doing Mathematics by Computer, Redwood City, CA, USA, 1988.Google Scholar
21. Tanriöver, H., Dynamic Nonlinear Behavior of Composite Plates, Phd Thesis, Istanbul Technical University, Istanbul, Turkey, 2005.Google Scholar