Influence of Transverse Shear on Nonlinear Vibrations of Sandwich Beams With Honeycomb Cores

1961 ◽  
Vol 28 (5) ◽  
pp. 405-410 ◽  
Author(s):  
HU-NAN CHU
Keyword(s):  
Transverse Shear ◽  
Nonlinear Vibrations ◽  
Sandwich Beams ◽  
Honeycomb Cores

Finite element bending analysis of symmetric and non-symmetric functionally graded sandwich beams using a novel parabolic shear deformation theory

2021 ◽  
pp. 146442072110050
Author(s):  
Mohamed-Ouejdi Belarbi ◽  
Abdelhak Khechai ◽  
Aicha Bessaim ◽  
Mohammed-Sid-Ahmed Houari ◽  
Aman Garg ◽  
...  
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Shear Deformation ◽  
Transverse Shear ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Element Model ◽  
Beam Element ◽  
Functionally Graded ◽  
Sandwich Beams

In this paper, the bending behavior of functionally graded single-layered, symmetric and non-symmetric sandwich beams is investigated according to a new higher order shear deformation theory. Based on this theory, a novel parabolic shear deformation function is developed and applied to investigate the bending response of sandwich beams with homogeneous hardcore and softcore. The present theory provides an accurate parabolic distribution of transverse shear stress across the thickness and satisfies the zero traction boundary conditions on the top and bottom surfaces of the functionally graded sandwich beam without using any shear correction factors. The governing equations derived herein are solved by employing the finite element method using a two-node beam element, developed for this purpose. The material properties of functionally graded sandwich beams are graded through the thickness according to the power-law distribution. The predictive capability of the proposed finite element model is demonstrated through illustrative examples. Four types of beam support, i.e. simply-simply, clamped-free, clamped–clamped, and clamped-simply, are used to study how the beam deflection and both axial and transverse shear stresses are affected by the variation of volume fraction index and beam length-to-height ratio. Results of the numerical analysis have been reported and compared with those available in the open literature to evaluate the accuracy and robustness of the proposed finite element model. The comparisons with other higher order shear deformation theories verify that the proposed beam element is accurate, presents fast rate of convergence to the reference results and it is also valid for both thin and thick functionally graded sandwich beams. Further, some new results are reported in the current study, which will serve as a benchmark for future research.

Bending response of carbon fiber composite sandwich beams with three dimensional honeycomb cores

2014 ◽  
Vol 108 ◽  
pp. 234-242 ◽  
Author(s):  
Jian Xiong ◽  
Li Ma ◽  
Ariel Stocchi ◽  
Jinshui Yang ◽  
Linzhi Wu ◽  
...  
Keyword(s):  
Carbon Fiber ◽  
Fiber Composite ◽  
Three Dimensional ◽  
Sandwich Beams ◽  
Carbon Fiber Composite ◽  
Composite Sandwich ◽  
Honeycomb Cores ◽  
Bending Response

Analytical Approximations to Buckling Deformation of the Sandwich Beams Including Transverse Shear

2011 ◽  
Vol 317-319 ◽  
pp. 1783-1786
Author(s):  
Yong Ping Yu ◽  
Lin Zang ◽  
You Hong Sun
Keyword(s):  
Transverse Shear ◽  
Harmonic Balance ◽  
Approximate Solutions ◽  
Beam Equation ◽  
Sandwich Beams ◽  
Nonlinear Beam ◽  
Sandwich Construction ◽  
Analytical Approximations ◽  
Post Buckling ◽  
Approximate Procedure

This paper presents analytical approximate solutions for the initial post-buckling deformation of the sandwich beams including transverse shear. The approximate procedure is based on the nonlinear beam equation (with transverse shear included), by combining the Newton’s method with the method of harmonic balance, we establish analytical approximations to deformation of the sandwich beams. Illustrative examples are presented for a few typical sandwich construction configurations, and it is shown that these approximate solutions are excellent agreement with the “reference” solutions.

Transverse shear modulus and strength of honeycomb cores

2008 ◽  
Vol 84 (4) ◽  
pp. 369-374 ◽  
Author(s):  
Shi-Dong Pan ◽  
Lin-Zhi Wu ◽  
Yu-Guo Sun
Keyword(s):  
Shear Modulus ◽  
Transverse Shear ◽  
Honeycomb Cores

scholarly journals Bending analysis of laminated composite and sandwich beams according to refined trigonometric beam theory

2015 ◽  
Vol 2 (1) ◽  
Author(s):  
A. S. Sayyad ◽  
Y. M. Ghugal ◽  
N. S. Naik
Keyword(s):  
Shear Deformation ◽  
Transverse Shear ◽  
Virtual Work ◽  
Laminated Composite ◽  
Beam Theory ◽  
Present Theory ◽  
Transverse Shear Deformation ◽  
Transverse Displacement ◽  
Sandwich Beams ◽  
Bending Analysis

AbstractA trigonometric beam theory (TBT) is developed for the bending analysis of laminated composite and sandwich beams considering the effect of transverse shear deformation. The axial displacement field uses trigonometric function in terms of thickness coordinate to include the effect of transverse shear deformation. The transverse displacement is considered as a sum of two partial displacements, the displacement due to bending and the displacement due to transverse shearing. Governing equations and boundary conditions are obtained by using the principle of virtual work. To demonstrate the validity of present theory it is applied to the bending analysis of laminated composite and sandwich beams. The numerical results of displacements and stresses obtained by using present theory are presented and compared with those of other trigonometric theories available in literature along with elasticity solution wherever possible.

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