Stability Analysis of Stiffened Plates Based on State-Vector Equation

Abstract:

Firstly, based on the theory of state-vector equation, the semi-analysis finite element formulation for the stability of the plates under various boundary conditions was derived by modified Hellinger-Reissner (H-R) variation principle for the elastic material. Secondly, the three-dimensional models for the stability of stiffened plates were established. The semi-analytical solution of state equation for the stability of stiffened plates are proved to be efficient and accurate by comparing with the exact solutions of references and the numerical solutions of the finite element software through several examples.

• Periodical: Advanced Materials Research (Volumes 671-674)
• Pages: 1561-1569
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.671-674.1561
• Online since: March 2013
• Authors: Yan Li Wang, Guang Hui Qing
• Keywords: Finite Element Method (FEM), Plate with Stiffener, Stability, State-Vector Equation

References

[1] R. Szilard: Theory and Analysis of Plate (China Railway Publishing House, Beijing 1984). (In Chinese).

[2] Joe Kee Paik, AnilK. Thayamballi and Bong Ju Kim: Thin-Walled Structures, Vol. 39(3) (2001), p.215 – 246.

[3] Yanfeng Liu: Strength and Stability Analysis and Structural Design for Multi-stiffened Plates [D]. Wuhan University of Technology, 2006. (In Chinese).

[4] Wanxie Zhong: Symplectic System of Applied Mechanics (Science Press, Beijing 2002). (In Chinese).

[5] Jiarang Fan: Exact Theory of Laminated Thick Plates and Shells (Science Press, Beijing 1996). (In Chinese).

[6] The Chinese Society of Theoretical and Applied Mechnics: Report on Advances in Mechanics 2006-2007, edited by China Association for Science and Technology, Science Press, Beijing (2007), p.85 – 91.

[7] Guanghui Qing, Jiajun Qiu and Yanhong Liu: International Journal of Solids and Structures, Vol. 43(6) (2006), p.1357 – 1371.

[8] Limin Tang etc: Computational Structural Mechanics and Applications, Vol. 8(4) (1992), p.347 – 360.

[9] Guiping Zou and Limin Tang: Computer & Structure, Vol. 55(1) (1995), p.113 – 118.

[10] Guanghui Qing, Jiajun Qiu and Na Ta: Journal of Vibration Engineering, Vol. 17(3) (2004), p.11 – 17.

[11] Guanghui Qing, Zhe Wang and Yanhong Liu: Acta Materiae Compositae Sinica, Vol. 23(2) (2006), p.158 – 162.

[12] Guanghui Qing, Zhe Wang and Yanhong Liu: Vol. 23(1) (2006), p.25 – 29.

[13] Srinivas, S. and Rao, A. K.: International Journal of Solids and Structures, Vol. 6(3) (1970), p.1463 – 1481.

[14] Jiarang Fang and Jiaqiao Ye: International Journal of Solids and Structures, Vol. 26(5/6) (1990), p.655 – 662.