Damped vibration of the system of changing the crane boom radius. (English) Zbl 1464.74072
Summary: This study formulates and solves the problem of transverse damped vibration in the system of changing the boom radius in a truck crane with advanced cylinder design for controlling the boom radius. The dissipation of vibration energy in the model adopted in the study occurs as a result of internal damping of the viscoelastic material (rheological Kelvin-Voigt model) of the beams that model the system and movement resistance in the supports of the cylinder and crane boom to the bodywork frame of the crane. Damped frequencies of vibrations and degree of vibration amplitude decay were calculated. The study also presents eigenvalues of system vibration with respect to changes in damping coefficients and system geometry for a selected load.
MSC:
| 74H45 | Vibrations in dynamical problems in solid mechanics |
| 74H15 | Numerical approximation of solutions of dynamical problems in solid mechanics |
| 74D05 | Linear constitutive equations for materials with memory |
References:
| [1] | Posiadała, B., Modeling, identification and research of dynamic models of truck-cranes (2005) |
| [2] | Chin, C.; Nayfeh, A. H.; Abdel-Rahman, E., Nonlinear dynamics of a boom crane, Journal Vibration Control, 7, 199-220 (2001) · Zbl 1010.70519 |
| [3] | Sochacki, W., The dynamic stability of a laboratory model of a truck crane, Thin-Walled Structures, 45, 927-930 (2007) |
| [4] | Sochacki, W.; Tomski, L., Free and parametric vibration of the system: telescopic boomhydraulic cylinder (changing the crane radius), The Archive of Mechanical Engineering, 46, 257-271 (1999) |
| [5] | Maczyński, A., Positioning and stabilization of the load position of elevated work platforms (2005) |
| [6] | Geisler, T.; Sochacki, W., Modelling and research into the vibrations of truck crane, Scientific Research of the Institute of Mathematics and Computer Science, 10, 1, 49-60 (2011) |
| [7] | Kilicaslan, S.; Balkan, T.; Ider, S. K., Tipping load of mobile cranes with flexible booms, Journal of Sound and Vibration, 223, 4, 645-657 (1999) |
| [8] | Kirillov, O. N.; Seyranin, A. O., The effect of small internal and external damping on the stability of distributed non-conservative systems, Journal of Applied Mathematics and Mechanics, 69, 4, 529-552 (2005) · Zbl 1102.35307 |
| [9] | Gürgöze, M.; Doğruoğlu, A. N.; Zeren, S., On the eigencharacteristics of a cantilevered viscoelastic beam carrying a tip mass and its representation by a spring-damper-mass system, Journal of Sound and Vibration, 301, 1-2, 420-426 (2007) |
| [10] | Oliveto, G.; Santini, A.; Tripodi, E., Complex modal analysis of flexural vibrating beam with viscous end conditions, Journal of Sound and Vibration, 200, 3, 327-345 (1997) · Zbl 1235.74187 |
| [11] | Krenk, S., Complex modes and frequencies in damped structural vibrations, Journal of Sound and Vibration, 270, 981-996 (2004) |
| [12] | Sochacki, W.; Bold, M., Vibration of crane radius change system with internal damping, Journal of Applied Mathematics and Computational Mechanics, 12, 2, 97-103 (2013) |
| [13] | Sochacki, W.; Bold, M., Influence of structural damping of supports on vibrations of the system telescopic boom - hydraulic cylinder of crane radius change, Modelling in Engineering, 47, 16, 172-178 (2013) |
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