Refined Series Methodology for the Fully Coupled Thin-Walled Laminated Beams Considering Foundation Effects

Abstract

The refined power series solutions are presented for the coupled static analysis of thin-walled laminated beams resting on elastic foundation. For this purpose, the elastic strain energy considering the material and structural coupling effects and the energy including the foundation effects are constructed. The equilibrium equations and the force-displacement relationships are derived from the extended Hamilton's principle, and the explicit expressions for displacement parameters are presented based on power series expansions of displacement components. Finally, the member stiffness matrix is determined by using the force-displacement relationships. For comparison, the finite element model based on the Hermite cubic interpolation polynomial is presented. In order to verify the accuracy and the superiority of the laminated beam element developed by this study, the numerical solutions are presented and compared with results obtained from the regular finite beam elements and the ABAQUS's shell elements. The influences of the fiber angle change and the boundary conditions on the coupled behavior of laminated beams with mono-symmetric I-sections are investigated.

Keywords:

• Deflection
• Laminated beam
• Power series methodology
• Twisting angle

Notes

Note: ()100 × (w _go  − w _g )/w _go (%).

Note: ()100 × (w _go  − w _g )/w _go (%).

#Communicated by Janos Logo.