Dynamic analysis of thick plates including deep beams on elastic foundations using modified Vlasov model

Article type: Research Article

Authors: Ozgan, Korhan

Affiliations: Department of Civil Engineering, Faculty of Engineering, Karadeniz Technical University, Turkey. Tel.: +90 462 377 2652; Fax: +90 462 377 2606; E-mail: [email protected]

Abstract: Dynamic analysis of foundation plate-beam systems with transverse shear deformation is presented using modified Vlasov foundation model. Finite element formulation of the problem is derived by using an 8-node (PBQ8) finite element based on Mindlin plate theory for the plate and a 2-node Hughes element based on Timoshenko beam theory for the beam. Selective reduced integration technique is used to avoid shear locking problem for the evaluation of the stiffness matrices for both the elements. The effect of beam thickness, the aspect ratio of the plate and subsoil depth on the response of plate-beam-soil system is analyzed. Numerical examples show that the displacement, bending moments and shear forces are changed significantly by adding the beams.

Keywords: Finite element method, thick plate, deep beam, elastic foundation, vlasov model, shear locking problem, dynamic analysis

DOI: 10.3233/SAV-2012-0723

Journal: Shock and Vibration, vol. 20, no. 1, pp. 29-41, 2013