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Nonlinear bending analysis of variable cross-section laminated plates using the dynamic relaxation method

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Abstract

This paper tries to analyze the laminated plates with variable cross section, using the Dynamic relaxation method for solving the governing equations of the thin composite plate, obtained from the CPT theory. Comprehensive comparison and parametric studies prove the accuracy and efficiency of the utilized approach with interesting specifications such as fully vector calculations, independency to the lamina scheme (angle and number of plies) and boundary conditions so that the laminated plates with uniform, variable one direction and variable two direction of cross section could be analyzed. Results show that the behaviour of the composite plates depends on both lamina scheme (the stacking sequences and the number of the plies), and the cross section variation of the laminated plate. In this manner, utilizing the laminated plates with variable two direction of cross section could absorb more potential energy in comparison with uniform and variable one direction of cross section, so that they are useful for using in passive control mechanisms in which the kinetic energy should be removed from the structure by transforming to the potential energy.

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Correspondence to Javad Alamatian.

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Recommended by Associate Editor Kyeongsik Woo

Javad Alamatian is an assistant professor in civil engineering department of Islamic Azad University of Mashhad, Mashhad, Iran. He received his doctor degree in structural engineering from Ferdowsi University of Mashhad. His research interests include numerical methods, dynamic analysis, time integration, nonlinear analysis and dynamic relaxation.

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Alamatian, J., Rezaeepazhand, J. Nonlinear bending analysis of variable cross-section laminated plates using the dynamic relaxation method. J Mech Sci Technol 30, 783–788 (2016). https://doi.org/10.1007/s12206-016-0133-6

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  • DOI: https://doi.org/10.1007/s12206-016-0133-6

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