Static and dynamic analysis of Timoshenko beam model based on the finite volume method

被引:0
|
作者
Jing, Lilong [1 ]
Zhang, Wenping [1 ]
Ming, Pingjian [1 ]
Fu, Lirong [1 ]
Liu, Xiaogang [1 ]
机构
[1] College of Power and Energy Engineering, Harbin Engineering University, Harbin
来源
Harbin Gongcheng Daxue Xuebao/Journal of Harbin Engineering University | 2015年 / 36卷 / 09期
关键词
Displacement response; Dynamic analysis; Finite volume method; Natural frequency; Shear locking phenomenon; Static analysis; Timoshenko beam;
D O I
10.3969/jheu.201408044
中图分类号
学科分类号
摘要
In order to explore a numerical simulation method based on the Timoshenko beam model, a study was done on beam numerical simulation using the Timoshenko beam model, based on the finite volume method (FVM). In order to examine the beam's shear deformation, the beam model was discretized by FVM, and static and dynamic analyses were conducted. After first calculating some typical examples, the derived numerical results and the analytic solutions with FVM, a comparison was made with the solution by FVM. It is shown that FVM provides high precision analysis, with no shear-locking phenomenon for thin and long beams when discretizing Timoshenko beam based on FVM. This validates FVM for analyzing Timoshenko beam static bending, inherent characteristics, and dynamic response problems. ©, 2015, Editorial Board of Journal of HEU. All right reserved.
引用
收藏
页码:1217 / 1222and1275
相关论文
共 9 条
  • [1] Macdonald P.W., The computation of transonic flow through two-dimensional gas turbine cascades, pp. 71-89, (1971)
  • [2] Maccormack R.W., Paullay A.J., Computational efficiency achieved by time splitting of finite difference operators, pp. 72-154, (1972)
  • [3] Rizzi A.W., Inouye M., Time-split finite-volume method for three-dimensional blunt-body flow, AIAA Journal, 11, 11, pp. 1478-1485, (1973)
  • [4] Patankar S.V., Numerical Heat Transfer and Fluid Flow, Series in Computational Methods in Mechanics and Thermal Sciences, pp. 5-20, (1980)
  • [5] Hirsch C., Numerical Computation of Internal and External Flow, 1, pp. 17-38, (1988)
  • [6] Wheel M.A., A finite volume method for analysing the bending deformation of thick and thin plates, Computer Methods in Applied Mechanics and Engineering, 147, 1-2, pp. 199-208, (1997)
  • [7] Fallah N., Hatami F., A displacement formulation based on finite volume method for analysis of Timoshenko beam, Proceedings of the 7th International Conference on Civil Engineering, (2006)
  • [8] Bathe K.J., Finite Element Procedures, pp. 770-774, (1996)
  • [9] Cowper G.R., The shear coefficient in Timoshenko's beam theory, Journal of Applied Mechanics, 33, 2, pp. 335-340, (1966)