Applied Mathematics and Mechanics

, Volume 21, Issue 6, pp 707–714

# Dynamic modeling and simulation of flexible cable with large sag

• Li Bin
• Li Yinghui
• Ying Xuegang
Article

## Abstract

Discrete model of flexible cable with large sag is established by using multiple rigid body-spherical hinge model, and dynamic equation of that discrete model is derived according to dynamics theory of multiple rigid body system. Displacement and velocity of system are revised to elininate violation phenomenon of the differential-algebra equation in numerical simulation based on the theory of generalized inverse of matrices. Numerical simulation proves the validity of our method.

## Key words

flexible cable with large sag multiple rigid body system dynamics numerical simulation violation correction

O313. 3

## References

1. [1]
Li Zhujing.Special Structure [M], Beijing: Tsinghua University Press, 1988. (in Chinese)Google Scholar
2. [2]
Jue Gaofu, Cunshan Maoming,Cable Theory and Its Application [M]. Beijing: China Forestry Press, 1992. (in Chinese)Google Scholar
3. [3]
Ahmadi-Kashani K. Vibration of hanging cables [J].Computers & Structures, 1989,21(5): 699–715.
4. [4]
Sahay C. Vibration of overhead transmission lines [J].Shock Vibration Digest, 1989,21(5): 8–13.
5. [5]
Kamman J W, Huston R L. Dynamics of constrained multibody systems [J].J Appl Mech, 1984,51(12): 899–903.
6. [6]
Hong Jiazhen,Multibody System Dynamics: Theory Calculating Method and Its Application [M]. Shanghai: Shanghai Jiaotong University Press, 1992. (in Chinese)Google Scholar
7. [7]
Pan Zhenkuan, Zhao Weijia, Hong Jiazhen, et al. Numerical method on differential/algebra equation of multibody system dynamics [J].Advances in Mechanics, 1996,26(1): 28–39. (in Chinese)
8. [8]
Yu Qing, Hong Jiazhen. A New violation correction method on constrained multibody system [J].Acta Mechanica Sinica, 1998,30(3): 301–305. (in Chinese)Google Scholar
9. [9]
Bao R, Matra S K.Generalized Inverse of Matrices and Its Applications [M]. New York: Willy Press, 1971.Google Scholar
10. [10]
Yin Xuegang. The application of multibody method in nonlinear analysis of beam [J].Journal of Chongqing University, 1988,11(11): 113–125. (in Chinese)Google Scholar

© Editorial Committee of Applied Mathematics and Mechanics 2000

## Authors and Affiliations

• Li Bin
• 1
• Li Yinghui
• 2
• Ying Xuegang
• 3
1. 1.Architectural Engineering DepartmentLogistic Engineering CollegeChongqingP R China
2. 2.Engineering Mechanics DepartmentChongqing UniversityChongqingP R China
3. 3.National Key Laboratory on Mechanical TransmissionChongqing UniversityChongqingP R China