Dynamical flexibility of rod and beam systems in transportation

• Autorzy: Żółkiewski S.
• Języki publikacji: PL

Abstrakty

EN

Purpose: Purpose of this paper is to present a mathematical model of rod and beam systems in transportation. The mathematical model is presented in the form of dynamical flexibility of systems. Systems are considered as flexible rotating rods and flexible rotating beams. In solution there was took into account the interaction between the main motion and local vibrations of elements. Design/methodology/approach: The dynamical flexibility was derived by the approximate method, the Galerkin's method. The example dynamical characteristics were presented in form of attenuation-frequency characteristics. The dynamical flexibility was derived on the basis of known equations of motion derived in other publications. Findings: There can be observed so called the transportation effect. This effect consist in that when analyzed system rotates with some angular velocity in the characteristic of dynamical flexibility we can notice additional poles and after increasing angular velocity it is noticeable that created modes are symmetrically propagated from the original mode. It is also palpable fact, instead of the original mode there is created zero. Research limitations/implications: Analyzed systems are simple linear type beams and rods in rotational motion. Motion was restricted to plane motion. Future research ought to consider complex systems, damped models and also nonlinearity. Practical implications: Practical implications of derived mathematical models of beam and rod systems both the free-free ones and fixed ones is a possibility of derivation of the stability zones of analyzed systems and derivation of eigenfrequencies and zeros in the way of changing the value of angular velocity. Originality/value: Presented models apply to rotating flexible rod and beam systems with taking into consideration the transportation effect. It is a new approach of analyzing rod and beam systems and can be put to use in modelling and analyzing machines and mechanisms in rotational transportation.

Słowa kluczowe

PL

mechanika stosowana; techniki numeryczne; drgania; efekt ruchu unoszenia

EN

applied mechanics; numerical techniques; vibrations; transportation effect

• Wydawca: International OCSCO World Press
• Czasopismo: Journal of Achievements in Materials and Manufacturing Engineering
• Rocznik: 2008
• Tom: Vol. 29, nr 2
• Strony: 171--174
• Opis fizyczny: Bibliogr. 19 poz., wykr.

Twórcy

autor

Żółkiewski S.

• Division of Mechatronics and Designing of Technical Systems, Mechanical Engineering Department, Institute of Engineering Processes Automation and Integrated Manufacturing Systems, Silesian University of Technology, ul. Konarskiego 18a, 44-100 Gliwice, Po,

Bibliografia

• [1] J. Awrejcewicz, W.A. Krysko, Vibrations of continuous systems, WNT, Warsaw, 2000 (in Polish).
• [2] A. Buchacz, S. Żółkiewski, Transverse vibrations of the elastic multielement manipulator in terms of plane motion and taking into consideration the transportation effect, Proceedings of the 8th Conference on Dynamical Systems-Theory and Applications, Lodz, 2, 2005, 641-648.
• [3] A. Buchacz, S. Żółkiewski, Formalization of the longitudinally vibrating rod in spatial transportation, International Conference of Machine-Building and Technosphere of the XXI Century, Sevastopol, 4, 2007, 279-283.
• [4] A. Buchacz, S. Żółkiewski, The dynamical flexibility of the transversally vibrating beam in transportation, Folia Scientiarum Universitatis Technicae Resoviensis no. 222, Mechanics b. 65 Problems of dynamics of construction. Rzeszow-Bystre , 2005, 29-36.
• [5] A. Buchacz, S. Żółkiewski, Dynamic analysis of the mechanical systems vibrating transversally in transportation, Journal of Achievements in Materials and Manufacturing Engineering 20 (2007) 331-334.
• [6] A. Buchacz, S. Żółkiewski, Mechanical systems vibrating longitudinally with the transportation effect, Journal of Achievements in Materials and Manufacturing Engineering 21/ 1 (2007) 63-66.
• [7] A. Dymarek, The sensitivity as a Criterion of Synthesis of Discrete Vibrating Fixed Mechanical Systems, Journal of Materials Processing Technology 157-158 (2004) 138-143.
• [8] A. Dymarek, T. Dzitkowski, Modelling and Synthesis of Discrete-Continuous Subsystems of Machines with damping, Journal of Materials Processing Technology 164-165 (2005) 1317-1326.
• [9] T. Dzitkowski, Computer Aided Synthesis of Discrete-Continuous Subsystems of Machines with the Assumed Frequency Spectrum Represented by Graphs, Journal of Materials Processing Technology 157-158 (2004) 1317-1326.
• [10] A. Sękala, J. Świder, Hybrid Graphs in Modelling and Analysis of Discrete-Continuous Mechanical Systems, Journal of Materials Processing Technology 164-165 (2005) 1436-1443.
• [11] R. Solecki, J. Szymkiewicz, Rod and superficial systems. Dynamical calculations. Arcades, Building Engineering, Art, Architecture, Warsaw, 1964 (in Polish).
• [12] G. Szefer, Dynamics of elastic bodies undergoing large motions and unilateral contact, Journal of Technical Physics 41/4(2000) 343-359.
• [13] G. Szefer, Dynamics of elastic bodies in terms of plane frictional motion, Journal of Theoretical and Applied Mechanics 39/ 2 (2001) 395-408.
• [14] J. Świder, G. Wszołek, Analysis of complex mechanical systems based on the block diagrams and the matrix hybrid graphs method, Journal of Materials Processing Technology 157-158 (2004) 250-255.
• [15] J. Świder, P. Michalski, G. Wszołek, Physical and geometrical data acquiring system for vibration analysis software, Journal of Materials Processing Technology 164-165 (2005) 1444-1451.
• [16] S. Woroszył, Examples and tasks of the theory of vibrations, Continuous systems, PWN, Warsaw, 1979 (in Polish).
• [17] G. Wszołek, Modelling of Mechanical Systems Vibrations by Utilization of Grafsim Software, Journal of Materials Processing Technology 164-165 (2005) 1466-1471.
• [18] G. Wszołek, Vibration Analysis of the Excavator Model in Graf Sim Program on the Basis of a Block diagram Method, Journal of Materials Processing Technology 157-158 (2004) 268-273.
• [19] K. Żurek, Design of reducing vibration mechatronical systems, Comment Worldwide Congress on Materials and Manufacturing Engineering and Technology, Computer Integrated Manufacturing, Gliwice-Wisla, 2005 , 292-297.