scholarly journals Analysis of tapered composite structures using a refined beam theory

2018 ◽  
Vol 183 ◽  
pp. 42-52 ◽  
Author(s):  
E. Zappino ◽  
A. Viglietti ◽  
E. Carrera
Keyword(s):  
Composite Structures ◽  
Beam Theory ◽  
Refined Beam Theory

Finite element vibration analysis of multi-scale hybrid nanocomposite beams via a refined beam theory

2019 ◽  
Vol 140 ◽  
pp. 304-317 ◽  
Author(s):  
Ali Dabbagh ◽  
Abbas Rastgoo ◽  
Farzad Ebrahimi
Keyword(s):  
Finite Element ◽  
Vibration Analysis ◽  
Beam Theory ◽  
Hybrid Nanocomposite ◽  
Multi Scale ◽  
Refined Beam Theory

Dynamic Instability of Cantilever Beams With Open Cross-Section

2016 ◽  
Author(s):  
Júlio C. Coaquira ◽  
Paulo B. Gonçalves ◽  
Eulher C. Carvalho
Keyword(s):  
Composite Structures ◽  
Dynamic Instability ◽  
Nonlinear Oscillations ◽  
Equations Of Motion ◽  
Beam Theory ◽  
Torsional Stiffness ◽  
Phase Portraits ◽  
Large Displacements ◽  
Torsional Coupling ◽  
Thin Walled

Structural elements with thin-walled open cross-sections are common in metal and composite structures. These thin-walled beams have generally a good flexural strength with respect to the axis of greatest inertia, but a low flexural stiffness in relation to the second principal axis and a low torsional stiffness. These elements generally have an instability, which leads to a flexural-flexural-torsional coupling. The same applies to the vibration modes. Many of these structures work in a nonlinear regime, and a nonlinear formulation that takes into account large displacements and the flexural-flexural-torsional coupling is required. In this work a nonlinear beam theory that takes into account large displacements, warping and shortening effects, as well as flexural-flexural-torsional coupling is adopted. The governing nonlinear equations of motion are discretized in space using the Galerkin method and the discretized equations of motion are solved by the Runge-Kutta method. Special attention is given to the nonlinear oscillations of beams with low torsional stiffness and its influence on the bifurcations and instabilities of the structure, a problem not tackled in the previous literature on this subject. Time responses, phase portraits and bifurcation diagrams are used to unveil the complex dynamic.

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