Abstract
AbstractThe geometrical nonlinear effects caused by large displacements and rotations over the cross section of composite thin-walled structures are investigated in this work. The geometrical nonlinear equations are solved within the finite element method framework, adopting the Newton–Raphson scheme and an arc-length method. Inherently, to investigate cross-sectional nonlinear kinematics, low- to higher-order theories are employed by using the Carrera unified formulation, which provides a tool to generate refined theories of structures in a systematic manner. In particular, beams and shell-like laminated composite structures are analyzed using a layerwise approach, according to which each layer has its own independent kinematics. Different stacking sequences are analyzed, to highlight the influence of the cross-ply angle on the static responses. The results show that the geometrical nonlinear effects play a crucial role, mainly when higher-order theories are utilized.
Publisher
Springer Science and Business Media LLC
Reference47 articles.
1. Zhang, X., Chen, Y., Hu, J.: Recent advances in the development of aerospace materials. Prog. Aerosp. Sci. 97, 22–34 (2018)
2. Euler, L.: Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes sive solutio problematis isoperimetrici latissimo sensu accepti, vol. 1. Springer, Berlin (1952)
3. Kapania, R.K., Raciti, S.: Recent advances in analysis of laminated beams and plates, Part I: shear effects and buckling. AIAA J. 27(7), 923–935 (1989)
4. Kapania, R.K., Raciti, S.: Recent advances in analysis of laminated beams and plates, Part II: Vibrations and wave propagation. AIAA J. 27(7), 935–946 (1989)
5. Timoshenko, S.P.: On the transverse vibrations of bars of uniform cross section. Philos. Mag. 43, 125–131 (1922)
Cited by
9 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献