Axial-flexural coupled vibration and buckling of composite beams using sinusoidal shear deformation theory

作者：Vo Thuc P^*; Huu Tai Thai; Inam Fawad

来源：Archive of Applied Mechanics, 2013, 83(4): 605-622.

DOI：10.1007/s00419-012-0707-4

• Composite beams
• Sinusoidal shear deformation theory
• Triply axial-flexural coupled
• Load-frequency curve

A finite element model based on sinusoidal shear deformation theory is developed to study vibration and buckling analysis of composite beams with arbitrary lay-ups. This theory satisfies the zero traction boundary conditions on the top and bottom surfaces of beam without using shear correction factors. Besides, it has strong similarity with Euler-Bernoulli beam theory in some aspects such as governing equations, boundary conditions, and stress resultant expressions. By using Hamilton%26apos;s principle, governing equations of motion are derived. A displacement-based one-dimensional finite element model is developed to solve the problem. Numerical results for cross-ply and angle-ply composite beams are obtained as special cases and are compared with other solutions available in the literature. A variety of parametric studies are conducted to demonstrate the effect of fiber orientation and modulus ratio on the natural frequencies, critical buckling loads, and load-frequency curves as well as corresponding mode shapes of composite beams.

• 出版日期2013-4