Dynamic stability analysis of composite laminated cylindrical panels via the mesh-free kp-Ritz method |
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| Authors: | K.M. Liew Y.Y. Lee T.Y. Ng X. Zhao |
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| Affiliation: | aDepartment of Building and Construction, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong;bSchool of Mechanical and Production Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore |
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| Abstract: | In this paper, the dynamic stability analysis of thin, laminated cylindrical panels under static and periodic axial forces is presented by using the mesh-free kp-Ritz method. The mesh-free kernel particle estimate is employed to approximate the 2D transverse displacement field. A system of Mathieu–Hill equations is obtained through the application of the Ritz minimization procedure to the energy expressions. The principal instability regions are then analyzed via Bolotin's first approximation. Effects of lamination schemes such as number of layers, ply-angle and boundary conditions on the instability regions are examined in detail. |
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| Keywords: | Dynamic stability Parametric resonance Cylindrical panel Composite laminate Mesh-free kp-Ritz method Bolotin's first approximation |
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