Nonlinear transient analysis of moderately thick laminated composite sector plates |
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| Affiliation: | 1. Mechanical Engineering Department, Thapar Institute of Engineering and Technology, Patiala 147004, India;2. Applied Mechanics Department, Indian Institute of Technology, New Delhi 110016, India;3. Mechanical Engineering Department, Shaheed Bhagat Singh College of Engineering and Technology, Ferozepur 152001, India;1. Centre of Excellence for Research in Advanced Materials and Structures, Faculty of Mechanical Engineering, K.N. Toosi University of Technology, Tehran, Iran;2. Fars Iranian Oil Pipelines and Telecommunication Company, Amirkabir Avenue, Shiraz, Iran;1. Mechanical Engineering Department, NIT Durgapur, Durgapur, India;2. Applied Mechanics Department, IIT Delhi, Hauz Khas, New Delhi, India;3. Department of Mechanical and Industrial Engineering, Faculty of Applied Science and Engineering, University of Toronto, Toronto, Ontario, Canada;1. Mechanical Engineering Department, National Institute of Technology Durgapur, Durgapur, India;2. Applied Mechanics Department, Indian Institute of Technology Delhi, Hauz Khas, New Delhi, India;3. Department of Mechanical and Industrial Engineering, Faculty of Applied Science and Engineering, University of Toronto, Toronto, Ontario, Canada |
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| Abstract: | This study presents a simple formulation for the nonlinear dynamic analysis of shear-deformable laminated sector plates made up of cylindrically orthotropic layers. The non-axisymmetric formulation in cylindrical coordinates is discretized in space domain using two-dimensional Chebyshev polynomials. Houbolt time marching is used for temporal discretization. Quadratic extrapolation is used for linearization along with fixed-point iteration for obtaining the results. Several combinations of simply supported, clamped and free edge conditions are considered. Convergence study has been carried out and the results are compared with the results of square plates. Effects of boundary conditions, moduli ratio, lamination scheme, sector angle and annularity on the transient deflection response are plotted graphically. Transient responses are compared for step, saw-tooth and sinusoidal loadings. |
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