SV Shock and Vibration 1875-9203 1070-9622 Hindawi 10.1155/2018/3682370 3682370 Research Article Analytical and Experimental Vibration of Sandwich Beams Having Various Boundary Conditions http://orcid.org/0000-0002-5247-238X Joubaneh Eshagh F. farza1e@cmich.edu 1 http://orcid.org/0000-0003-0671-1439 Barry Oumar R. barry1o@cmich.edu 1 2 Tanbour Hesham E. hesham.tanbour@gmail.com 1 Strozzi Matteo 1 College of Engineering and Science Central Michigan University 1200 S. Franklin St Mount Pleasant MI 48859 USA cmich.edu 2 Department of Mechanical Engineering Virginia Tech 635 Prices Fork Road Blacksburg VA 2406 USA vt.edu 2018 2562018 2018 08 02 2018 18 04 2018 30 04 2018 2562018 2018 Copyright © 2018 Eshagh F. Joubaneh et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Generalized differential quadrature (GDQ) method is used to analyze the vibration of sandwich beams with different boundary conditions. The equations of motion of the sandwich beam are derived using higher-order sandwich panel theory (HSAPT). Seven partial differential equations of motions are obtained through the use of Hamilton’s principle. The GDQ method is utilized to solve the equations of motion. Experiments are conducted to validate the proposed theory. The results from the analytical model are also compared to those from the literature and finite element method (FEM). Parametric studies are conducted to investigate the effects of different parameters on the natural frequency and response of the sandwich beam under various boundary conditions.