Nonlinear stability of bio-inspired composite beams with higher order shear theory
Nazira Mohamed,Salwa A. Mohamed,Alaa A. Abdelrhmaan,Mohamed A. Eltaher
Abstract
This manuscript presents a comprehensive mathematical model to investigate buckling stability and postbuckling response of bio-inspired composite beams with helicoidal orientations. The higher order shear deformation theory as well as the Timoshenko beam theories are exploited to include the shear influence. The equilibrium nonlinear integro-differential equations of helicoidal composite beams are derived in detail using the energy conservation principle. Differential integral quadrature method (DIQM) is employed to discretize the nonlinear system of differential equations and solve them via the Newton iterative method then obtain the response of helicoidal composite beam. Numerical calculations are carried out to check the validity of the present solution methodology and to quantify the effects of helicoidal rotation angle, elastic foundation constants, beam theories, geometric and material properties on buckling, postbuckling of bio-inspired helicoidal composite beams. The developed model can be employed in design and analysis of curved helicoidal composite beam used in aerospace and naval structures.
Key Words
bio-inspired composite; buckling and postbuckling stability; differential integral quadrature method; helicoidal orientations; numerical solutions
Address
Nazira Mohamed and Salwa A. Mohamed — Department of Engineering Mathematics, Faculty of Engineering, Zagazig University, Egypt
Alaa A. Abdelrhmaan — Mechanical Design and Production Dept., Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Egypt
Mohamed A. Eltaher — 1)Mechanical Engineering Dept., Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah, Saudi Arabia. 2)Mechanical Design and Production Dept., Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Egypt
PDF Viewer
Preview is limited to the first 3 pages. Sign in to access the full PDF.
