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Structural Engineering and Mechanics Volume 39, Number 1, July10 2011 , pages 115-123 DOI: https://doi.org/10.12989/sem.2011.39.1.115 |
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A note on buckling and vibration of clamped orthotropic plates under in-plane loads |
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D.H. Felix, D.V. Bambill and C.A. Rossit
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| Abstract | ||
| The present work deals with obtaining the critical buckling load and the natural frequencies of clamped, orthotropic, rectangular thin plates subjected to different linear distributed in-plane forces. An analytical solution is proposed. Using the Ritz method, the dependence between in-plane forces and natural frequencies are estimated for various plate sizes, and some results are compared with finite element solutions and where possible, comparison is made with previously published results. Beam functions are used as admissible functions in the Ritz method. | ||
| Key Words | ||
| critical buckling; vibration; orthotropic plate; in-plane force; rectangular, clamped; Ritz method | ||
| Address | ||
| D.H. Felix: Department of Engineering, Institute of Applied Mechanics (IMA), Universidad Nacional del Sur, Av. Alem 1253, Bahia Blanca (B8000CPB), Argentina D.V. Bambill: Department of Engineering, Institute of Applied Mechanics (IMA), Universidad Nacional del Sur, Av. Alem 1253, Bahia Blanca (B8000CPB), Argentina; Comision Nacional de Investigaciones Cientificas y Tecnicas (CONICET), Argentina C.A. Rossit: Department of Engineering, Institute of Applied Mechanics (IMA), Universidad Nacional del Sur, Av. Alem 1253, Bahia Blanca (B8000CPB), Argentina; Comision Nacional de Investigaciones Cientificas y Tecnicas (CONICET), Argentina | ||