Finite Element Analysis of Vibrating Frequency for Skew Slab Bridge Based on Finite Strip Thought

Abstract:

Based on the finite strip thought and displacement interpolation function of Bernoulli-Euler beam element, using the transformation relationship between skew coordinate and Cartesian coordinate system, a new kind of thin parallel slab element was established, element stiffness matrix and consistent mass matrix were derived. The vibrating frequency of simply supported skewed slab was calculated. Computing results were compared with theoretical results and Ansys results. The maximum error was 2.68%. Changing the mesh density of skew slab, the convergence of present element was tested. Examples show that this element has the features of high precision and strong convergence. At last, the vibrating frequency coefficients of skew slab bridge with different ratios of span to width were provided, which can be adopted to compute the vehicle’s impact factor of skew slab bridge by specification method.

• Periodical: Advanced Materials Research (Volumes 163-167)
• Pages: 1121-1127
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.163-167.1121
• Online since: December 2010
• Authors: Mei Liang Yang, Gui Yun Xia, Jian Ren Zhang
• Keywords: Finite Strip Thought, Frequency, Impact Effect, Parallel Thin Slab Element, Skew Slab Bridge

References

[1] BakhtB: Journal of Structural Engineering, ASCE, 1988, 114 (10): 2307-2322.

[2] HE Xu-hui, SHENG Xing-wang, CHEN Zheng-qing: Journal of the China Railway Society, 2002, 24(5): 89-92. (in Chinese).

[3] XIA zhang-hua, ZONG Zhou-hong: Journal of Vibration and Shock, 2007, 26(4): 147-150.

[4] XIA Gui-yun, YU Mao-hong, LI Chuan-xi et al: Journal of Traffic and Transportation Engineering, 2009, 9(4): 1-5. (in Chinese).

[5] XIA Gui-yun, YU Mao-hong, LI Chuan-xi, et al:. Engineering Mechinacs, 2010, 27(3): 30-37.

[6] Thangam B.P. V, Reddy D. V: Journal of sound and vibration, 1971, 18(3): 465-474.

[7] Mizusawa T, Kajita T, Narruoka M: Journal of sound and vibration, 1979, 62(2): 301-308.

[8] Mizusawa T, Kajita T, Narruoka M: AJournal of sound and vibration, 1980, 73(4): 575-584.

[9] Liu W. H: Journal of sound and vibration, 1992, 159(1): 1-11.

[10] Singh B, Chakraverty S: Journal of sound and vibration, 1994, 173(2): 157-178.

[11] WANG Ke-lin, LIU Jun-qing, ZHAO Dong: Bending, vibrating and buckling of plate. Beijing: Metallurgical Industry Press, 2006. (in Chinese).

[12] Bathe K. J: Finite element procedures . New Jersey: Pretice-Hall, Inc, (1966).

[13] LIU De-gui, FEI Jing-gao, YU Yong-jiang: New edited practical algorithms and Fortran 77 program for engineering. Beijing: National defense industry press, 1990: 277-280. (in Chinese).

[14] WANG Xin-mian: Numerical analysis of engineering structure by Ansys. Beijing: China Communications Press , 2004. (in Chinese).

[15] JTG D60-2004: General code for design of highway bridges and culverts. Beijing: China Communications Press , 2004. (in Chinese).