Abstract
Our previous study showed the effect of pre-tension onto oscillation at the top of a ladder in raising and lowering processes on turntable ladders when steel wire ropes are added to ladder handrails. However, the oscillation was not switched off quickly. To quickly extinguish oscillation, we use steel ropes and a hydraulic system that is available on the truck to control the vibration. Based on the available multibody dynamic system and motion equation of the ladder, the group minimizes the number of variables in the motion equation and linearizes it. Thereafter, the vibration of the system is controlled and simulated by Matlab-Simulink software. This study presents a new method to control the ladder vibration on the turntable ladder.
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Abbreviations
- C c :
-
Damping coefficient of ropes
- D :
-
Damping load
- D :
-
Load matrix
- I :
-
Identity matrix
- k c :
-
Stiffness coefficient of ropes
- k contr :
-
Matrix of control multiplier factors
- k Di :
-
Controlling factor corresponding to Di
- k Ti :
-
Controlling factor corresponding to Ti
- M :
-
Mass matrix
- q :
-
Generalized coordinate vector
- Q :
-
Generalized force vector
- s :
-
Vector of independent coordinates
- s R :
-
Position vector in base motion
- T :
-
Bending moment
- z :
-
Vector of dependent coordinates
- Y :
-
Right-hand-side vector of acceleration equations
- η :
-
Position vector in perturbed motion
- λ :
-
Lagrange multiplier vector
- Φ :
-
Position constraint vector
- Φ q :
-
Jacobian matrix of constraints
- ω :
-
Angular velocity
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Acknowledgments
This study is funded by the National University of Civil Engineering (NUCE) under Grant No. 18-2020/KHXD-TO.
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Van Tinh Nguyen is a Lecturer at the Faculty of Mechanical Engineering, National University of Civil Engineering, Vietnam. He received his Doctor’s degree from Technische Universität Dresden, Germany in 2019. His research interests are structural optimization, multi-body dynamics, vibration reduction for construction machinery, and development of new products in the construction mechanical engineering.
Thorsten Schmidt is a Full Professor at Technische Universität Dresden and heads the Chair of Logistics Engineering in the Mechanical Engineering faculty since 2008. His research areas are design and optimization of facility logistics and production systems including a focus on machinery and involved components.
Thomas Leonhardt is a Research Assistant at the Chair of Logistics Engineering, Institute of Material Handling and Industrial Engineering, Technische Universität Dresden since 1991. He received his Doctor’s degree in 1989. His current research areas are design and dimensioning of machinery components for material handling systems, multi-body simulations, system analyses especially for cranes and conveying machines, and new solutions for industrial trucks.
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Nguyen, V.T., Schmidt, T. & Leonhardt, T. A new active vibration control method on a ladder of turntable ladders. J Mech Sci Technol 35, 2337–2345 (2021). https://doi.org/10.1007/s12206-021-0506-3
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DOI: https://doi.org/10.1007/s12206-021-0506-3