General numerical description of a mass moving along a structure

• Autorzy: Dyniewicz B. , Bajer C.
• Konferencja: Jubilee Symposium Vibrations In Physical Systems (25 ; 15-19.05.2012 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

The paper deals with vibrations of structures under a moving inertial load. The space-time finite element, approach has been used for a general description of the moving mass particle. Problems occur when we perform computer simulations. In the case of wave problem numerical description of the moving inertial loads requires great mathematical care. Otherwise we get a wrong solution. There is no commercial computing packages that would enable us direct simulation of moving loads, both gravitational and inertial.

Słowa kluczowe

EN

space-time finite element method; moving mass; vibrations

PL

metoda elementów czasoprzestrzennych; masa ruchoma; drgania

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2012
• Tom: Vol. 25
• Strony: 135--140
• Opis fizyczny: Bibliogr. 12 poz., 1 rys., wykr.

Twórcy

autor

Dyniewicz B.

• Institute of Fundamental Technological Research, Polish Academy of Sciences, Pawińskiego 5b, 02-106 Warsaw, Poland

autor

Bajer C.

• Institute of Fundamental Technological Research, Polish Academy of Sciences, Pawińskiego 5b, 02-106 Warsaw, Poland
• The Faculty of Automotive and Construction Machinery Engineering, Warsaw University of Technology, Narbutta 84, 02-524 Warsaw, Poland

Bibliografia

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• 2. F. V. Filho. Finite element analysis of structures under moving loads. The Shock and Vibration Digest, 10(8) (1978) 27-35.
• 3. A. O. Cifuentes. Dynamic response of a beam excited by a moving mass. Finite Elem. Anal. and Des., 5(3) (1989) 237-246.
• 4. J. R. Rieker, Y. H. Lin, and M. W. Trethewey. Discretization considerations in moving load finite element beam models. Finite Elem. Anal. and Des., 21 (1996) 129-144.
• 5. B. Dyniewicz and C. I. Bajer. Numerical methods for vibration analysis of Timoshenko beam subjected to inertial moving load. In C. Cempel, editor, Vibrations in Physical Systems, pages 87-92, 2010.
• 6. M. E. Gurtin. Variational principles for linear elastodynamics. Arch. Rat. Mech. Anal., 16 (1964) 34-50.
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• 8. I. Herrera and J. Bielak. A simplified version of Gurtin's variational principles. Arch. Rat. Mech. Anal., 53 (1974) 131-149.
• 9. C. Bajer. Space-time finite element formulation for the dynamical evolutionary process. Appl. Math. and Comp. Sci., 3(2) (1993) 251-268.
• 10. O. C. Zienkiewicz. The finite element method in engineering science. McGraw-Hill, London 1971.
• 11. R. Cook, D. S. Malkus, and M. E. Plesha. Concepts and applications of finite element analysis. John Willey & Sons, third edition 1989.
• 12. M. Petyt. Introduction to finite element vibration analysis. Cambridge University Press, Cambridge 1990.