DYNAMIC ANALYSIS OF HOISTING VISCOUS DAMPING STRING WITH TIME-VARYING LENGTH
Bao, J., Zhang, P., Zhu, C. (2012). DYNAMIC ANALYSIS OF HOISTING VISCOUS DAMPING STRING WITH TIME-VARYING LENGTH. EKB Journal Management System, 15(15th International Conference on Applied Mechanics and Mechanical Engineering.), 1-12. doi: 10.21608/amme.2012.36917
J. H. Bao; P. Zhang; C. M. Zhu. "DYNAMIC ANALYSIS OF HOISTING VISCOUS DAMPING STRING WITH TIME-VARYING LENGTH". EKB Journal Management System, 15, 15th International Conference on Applied Mechanics and Mechanical Engineering., 2012, 1-12. doi: 10.21608/amme.2012.36917
Bao, J., Zhang, P., Zhu, C. (2012). 'DYNAMIC ANALYSIS OF HOISTING VISCOUS DAMPING STRING WITH TIME-VARYING LENGTH', EKB Journal Management System, 15(15th International Conference on Applied Mechanics and Mechanical Engineering.), pp. 1-12. doi: 10.21608/amme.2012.36917
Bao, J., Zhang, P., Zhu, C. DYNAMIC ANALYSIS OF HOISTING VISCOUS DAMPING STRING WITH TIME-VARYING LENGTH. EKB Journal Management System, 2012; 15(15th International Conference on Applied Mechanics and Mechanical Engineering.): 1-12. doi: 10.21608/amme.2012.36917

DYNAMIC ANALYSIS OF HOISTING VISCOUS DAMPING STRING WITH TIME-VARYING LENGTH

The International Conference on Applied Mechanics and Mechanical Engineering
Article 20, Volume 15, 15th International Conference on Applied Mechanics and Mechanical Engineering., May 2012, Page 1-12  XML PDF (202.32 K)
Document Type: Original Article
DOI: 10.21608/amme.2012.36917
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Authors
J. H. Bao1; P. Zhang2; C. M. Zhu3
1Doctoral student, School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai, People’s Republic of China.
2Doctor, School of Mechanical Engineering; State Key Laboratory of Mechanical System and Vibration, Shanghai Jiaotong University, Shanghai, People’s Republic of China (Corresponding author).
3Professor, School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai, People’s Republic of China.
Abstract
ABSTRACT
The nonlinear dynamic analysis of a hoisting viscous damping string with time-varying
length is investigated. The hoisting string is modeled as a taut translating string with a
rigid body attached at its low end. A systematic procedure for deriving the system
model of hoisting viscoelastic string with time-varying is presented. The governing
equations are developed employing the extended Hamilton’s principle considering
coupling of axial movement and flexuarl deformation of string. The Galerkin’s method
and the 4th Runge-Kutta method are employed to numerically analyze the resulting
equations. The motions of elevator hoisting system are presented to illustrate the
proposed mathematical models. The results of simulation show that the material
viscous damping helps stabilize the transverse vibration. The modeling methods can
represent the transverse vibration of hoisting viscous damping string with
time-varying length.
Keywords
Dynamic analysis; viscous damping; Governing Equations and Elevator
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