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Steel and Composite Structures Volume 18, Number 4, April 2015 , pages 889-907 DOI: https://doi.org/10.12989/scs.2015.18.4.889 |
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Transient analysis of cross-ply laminated shells using FSDT: Alternative formulation |
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Mehmet Fatih Sahan
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| Abstract | ||
| This paper aims to present an alternative analytical method for transient vibration analysis of doubly-curved laminated shells subjected to dynamic loads. In the method proposed, the governing differential equations of laminated shell are derived using the dynamic version of the principle of virtual displacements. The governing equations of first order shear deformation laminated shell are obtained by Navier solution procedure. Time-dependent equations are transformed to the Laplace domain and then Laplace parameter dependent equations are solved numerically. The results obtained in the Laplace domain are transformed to the time domain with the help of modified Durbin's numerical inverse Laplace transform method. Verification of the presented method is carried out by comparing the results with those obtained by Newmark method and ANSYS finite element software. Also effects of number of laminates, different material properties and shell geometries are discussed. The numerical results have proved that the presented procedure is a highly accurate and efficient solution method. | ||
| Key Words | ||
| doubly-curved laminated shell; transient vibration analysis; inverse laplace transform; analytic solution | ||
| Address | ||
| Department of Civil Engineering, Adiyaman University, 02040 Adiyaman, Turkey. | ||