Isogeometric finite element method for buckling analysis of generally laminated composite beams with different boundary conditions

2015 ◽  
Vol 104 ◽  
pp. 190-199 ◽  
Author(s):  
Xuan Wang ◽  
Xuefeng Zhu ◽  
Ping Hu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Boundary Conditions ◽  
Laminated Composite ◽  
Composite Beams ◽  
Buckling Analysis ◽  
Different Boundary Conditions ◽  
Laminated Composite Beams ◽  
Element Method

scholarly journals Nonlinear Vibrations of 3D Laminated Composite Beams

2014 ◽  
Vol 2014 ◽  
pp. 1-14 ◽  
Author(s):  
S. Stoykov ◽  
S. Margenov
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Geometrical Nonlinearity ◽  
Strain Tensor ◽  
Laminated Composite ◽  
Composite Beams ◽  
Orthotropic Materials ◽  
Warping Function ◽  
Laminated Composite Beams ◽  
Element Method

A model for 3D laminated composite beams, that is, beams that can vibrate in space and experience longitudinal and torsional deformations, is derived. The model is based on Timoshenko’s theory for bending and assumes that, under torsion, the cross section rotates as a rigid body but can deform longitudinally due to warping. The warping function, which is essential for correct torsional deformations, is computed preliminarily by the finite element method. Geometrical nonlinearity is taken into account by considering Green’s strain tensor. The equation of motion is derived by the principle of virtual work and discretized by thep-version finite element method. The laminates are assumed to be of orthotropic materials. The influence of the angle of orientation of the laminates on the natural frequencies and on the nonlinear modes of vibration is presented. It is shown that, due to asymmetric laminates, there exist bending-longitudinal and bending-torsional coupling in linear analysis. Dynamic responses in time domain are presented and couplings between transverse displacements and torsion are investigated.

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