Finite element stress, vibration, and buckling analysis of laminated beams with the use of refined elements

Alexei I. Borovkov; Ilya Valerievich Avdeev; A. Artemyev

doi:10.1117/12.347470

5 May 1999 Finite element stress, vibration, and buckling analysis of laminated beams with the use of refined elements

Alexei I. Borovkov, Ilya Valerievich Avdeev, A. Artemyev

Proceedings Volume 3687, International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering; (1999) https://doi.org/10.1117/12.347470
Event: International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, 1998, St. Petersburg, Russian Federation

Abstract

In present work, the stress, vibration and buckling finite element analysis of laminated beams is performed. Review of the equivalent single-layer (ESL) laminate theories is done. Finite element algorithms and procedures integrated into the original FEA program system and based on the classical laminated plate theory (CLPT), first-order shear deformation theory (FSDT), third-order theory of Reddy (TSDT-R) and third- order theory of Kant (TSDT-K) with the use of the Lanczos method for solving of the eigenproblem are developed. Several numerical tests and examples of bending, free vibration and buckling of multilayered and sandwich beams with various material, geometry properties and boundary conditions are solved. New effective higher-order hierarchical element for the accurate calculation of transverse shear stress is proposed. The comparative analysis of results obtained by the considered models and solutions of 2D problems of the heterogeneous anisotropic elasticity is fulfilled.

Citation Download Citation

Alexei I. Borovkov, Ilya Valerievich Avdeev, and A. Artemyev "Finite element stress, vibration, and buckling analysis of laminated beams with the use of refined elements", Proc. SPIE 3687, International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, (5 May 1999); https://doi.org/10.1117/12.347470

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