Analysis of forced vehicles of elastic elements (ropes) of loading lift mechanisms of cranes: analytical approach, discrete – continual
DOI:
https://doi.org/10.31548/machenergy2019.04.121Keywords:
analysis, forced oscillations, elasticity, ropes, load-lifting mechanisms, valves, analytical approach, discrete-continuum model.Abstract
The substantiated method and discrete - continuum model for the analysis of forced oscillations of elastic elements (ropes) of lifting mechanisms of cranes at arbitrary and time – harmonic laws of the change of external forces. The proposed criterion of the quality of the rope movement of the lifting mechanism of the crane, which, when implemented, permits the establishment of such modes of motion of elastic elements, which minimize the stresses in the latter. Realization of the purpose of this study allows to determine the dynamics coefficients in different sections of ropes and specify the methods / directions that lead to their minimization in the transition areas of the functioning of these mechanisms lifting cargo cranes.
The solution of the corresponding differential equations, which is a mathematical model of the problem, is carried out by decomposition in a series of eigenfunctions of the desired solutions of the indicated equations (in partial derivatives in spatial and temporal coordinates). For the external load, a generalized law of change in space and time is chosen. Conditions for resonance / antiresonance are found in the case of harmonic excitatory external force for various endpoints (boundary conditions for fixing an elastic element (rope).
References
Kushnarev, A., Shevchenko, I., Dugaev, V., Kushnarev, S. (2008). Mechanics of interaction of working bodies on an elastic suspension with the soil. Technique APK. No 8. 22-25.
Shevchenko, I. (1988). Experimentally-theoretical substantiation of parameters of working bodies with elastic stands cultivators for pre-sowing treatment of soil: Dis. kand. tech. Sciences. Moscow. 176.
Kushnarev, S. A. (1998). Substantiation of power saving processing of soil and the elastic parameters of working bodies for the conditions of southern steppe zone of Ukraine: Dis. kand. tech. Sciences. Glevaha, 194.
Dugaev, V. P. (1998). Mathematical model of the oscillating system working on the soil. Proceedings of TGAA. Melitopol', Vol. 5. 77-82.
https://doi.org/10.2307/3620157
Voytyuk, D. G., Chovnyk, Yu. V., Dickery, M. G., Gumenyuk, A. Y., Gutsol, O. P. (2013). Occurrence of parametric vibrations and resonances of the cultivators with an elastic suspension of working bodies. The interdepartmental scientific collection. Glevaha, Vol. 98. Volume 1. 376-384.
Bazarov, V. P. (1980). Additional elastic element and its influence on the elastic suspension. Design and production technology of agricultural machinery. No 10. 9-11.
Biderman, V. P. (1980). Theory of oscillations. Moscow. High school. 408.
Babakov, S. M. (1965). Theory of vibrations. Moscow. Nauka, 559.
Voytyuk, D. G., Chovnyk, Yu. V., Dickery, M. G., Gumenyuk, A. Y., Gutsol, O. P. (2012). Physico-mechanical analysis of self-oscillating modes of vibration loosening the clutches of the cultivator. Vibration in engineering and technology. Vol. 4(68). 24-30.
Grinchenko, A. S. Alferov, A. I., Savchenko, V. B., Yuriev, G. P. (2016). Theoretical analysis for oscillation tillage bodies on an elastic suspension with the consideration of stochastic factors. Technical services agricultural, forestry, and transport complexes. No 5. 222-226.
Grinchenko, A. S., Alferov, A. S. (2015). Theoretical models of functioning and ensure mechanical reliability of cultivators with spring tines. The national interdepartmental scientific-technical collection. Kirovograd, Vol. 45. Part. 205-212.
Vasilenko, N. V. (1992). Theory of oscillations. Kiev. High school. 430.
Panovko, J. G. (1980). Introduction to the theory of mechanical vibrations. Moscow. Nauka, 272.
Zakrzewski, N. V. (1980). Vibrations of essenti-ally nonlinear mechanical systems. Riga: Zinatne, 190.
Hayashi, T. (1968). Nonlinear oscillations in physical systems. Moscow. Mir, 432.
Khvingia, M. V. (1974). Vibrations and stability of elastic systems and machines. Tbilisi. Marinieres, 284.
Zakrzewski, N. V., Ivanov, Yu. M., Fedorenko, A. N. (1977). The self-excitation of subharmonic oscillations in a nonautonomous oscillatory system with bilinear elastic characteristic. In the book: Protection of the human operator and the fluctuations in the machines. Moscow. Science, 376-384.
Kobryn, A. E. (1964). Mechanism with elastic links. Moscow. Science, 390.
Neimark, Yu. S. (1972). The method of point mappings in the theory of nonlinear oscillations. Moscow. Science, 472.
Panovko, J. G. (1967). Fundamentals of applied theory of elastic vibrations. Moscow. Mechanical engineering, 316.
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