Bending analysis of composite and sandwich beams using Ritz method

Abstract

In the present paper, the bending behaviour of laminated composite and sandwich beams subjected to various sets of boundary conditions which are simply supported (SS), clamped-simply supported (CS), clamped-clamped (CC) and clampedfree (CF) are investigated by using the Timoshenko beam theory and the Ritz method. In order to solve the problem, the shape functions for axial, transverse deflections and the rotation of the cross-section are presented in polynomial forms. The validation and convergence studies are performed by solving symmetric and anti-symmetric cross-ply composite beam problems with various boundary conditions and aspect ratios by adding auxiliary functions to the shape functions. The results in terms of mid-span deflections, axial and shear stresses are compared with those from previous studies to validate the accuracy of the present study. The effects of fiber angle, lay-up and aspect ratio on displacements and stresses are studied.

CANCELLED: Study of Temperature Variation over Shape Memory Polymer Hybrid Composite under Transverse Loading

“…In a sandwich composite beam, the thickness of the facesheet and bottom sheet considered as "h 1 " whereas "h 2 " is the thickness of the core. For the respective applied load, the nondimensional transverse central deflection is obtained and compared it with Ritz method by Karamanli et al [52]. With the increasing core thickness, the nondimensional TCD increases.…”

Nonlinear flexural analysis of sandwich beam with multi walled carbon nanotube reinforced composite sheet under thermo-mechanical loading

“…The effect of temperature and mechanical loading over central deflection of the composite beam were observed with the variation of various parameters and observed the efficiency of the studied model over the conventional composite model. Karamanli [25] presented the bending behavior of sandwich and laminated composite beams with different boundary conditions by Ritz method and Timoshenko beam theory (TBT) and axial stress, shear stress, and deflection at middle span are calculated. Here, it is observed that fiber angle has a major effect on axial stress, shear stress and mid deflection of a beam for composite beams with different boundary conditions.…”