Numerical effectiveness of different formulations of the rigid finite element method

• Autorzy: Adamiec-Wójcik I. , Drąg Ł. , Wojciech S.

Identyfikatory

DOI

10.2478/ijame-2014-0031

• Języki publikacji: EN

Abstrakty

EN

The paper presents an application of different formulations of the rigid finite element method (RFEM) to dynamic analysis of flexible beams. We discuss numerical effectiveness of the classical RFEM and an alternative approach in which continuity of displacements is preserved by means of constraint equations. The analysis is carried out for a benchmark problem of the spin-up motion in planar and spatial cases. Torsion is omitted for numerical simulations and two cases of the new approach are considered. The results obtained by means of these methods are compared with the results obtained using a nonlinear two-node superelement.

Słowa kluczowe

EN

flexibility of links; rigid finite element method; dynamic analysis; nonlinear motions; numerical effectiveness

PL

metoda elementów skończonych; analiza dynamiczna; manipulatory

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2014
• Tom: Vol. 19, no. 3
• Strony: 475--485
• Opis fizyczny: Bibliogr. 9 poz., rys., wykr.

Twórcy

autor

Adamiec-Wójcik I.

• Division of Transport and Computer Sciences Faculty of Management and Transport University of Bielsko-Biała Willowa str. 2, 43-309 Bielsko-Biała, POLAND

autor

Drąg Ł.

• Division of Transport and Computer Sciences Faculty of Management and Transport University of Bielsko-Biała Willowa str. 2, 43-309 Bielsko-Biała, POLAND

autor

Wojciech S.

• Division of Transport and Computer Sciences Faculty of Management and Transport University of Bielsko-Biała Willowa str. 2, 43-309 Bielsko-Biała, POLAND

Bibliografia

• [1] Adamiec-Wójcik I. and Brzozowska L. (2013): Homogenous transformations in dynamics of off-shore slender structures. - Dynamical Systems Theory, Łódź: Press of Łódź University of Technology, pp.307-316.
• [2] Adamiec-Wójcik I., Brzozowska L. and Wojciech S. (2013): Modification of the rigid finite element method in modeling dynamics of lines and ropes. - The Archive of Mechanical Engineering, vol.LX, No.3, pp.409-429.
• [3] Adamiec-Wójcik I., Wittbrodt E. and Wojciech S. (2012): Rigid finite element in modelling of bending and longitudinal vibrations of ropes. - Int. J. of Applied Mechanics and Engineering, vol.17, No.3, pp.665-67.
• [4] Adamiec-Wójcik I. and Wojciech S. (1993): Application of the rigid finite element method in dynamic analysis of plane manipulator. - Mech. Mach. Theory, vol.28, No.3, pp.327-334.
• [5] Boer S.E., Aarts R.G.K.M., Meijard J.P., Brouwer D.M. and Jonker J.B. (2014): A nonlinear two-node superelement for use in flexible multibody systems. - Multibody Syst. Dyn., vol.31, No.4, pp.405-431.
• [6] Dwivedy S.K. and Eberhard P. (2006): Dynamic analysis of flexible manipulators, a literature review. - Mechanism and Machine Theory, vol.41, pp.749-777.
• [7] Kruszewski J. Gawroński W., Wittbrodt E., Najbar F. and Grabowski S. (1975): The Rigid Finite Element Methods. - Warsaw: Arkady.
• [8] Wittbrodt E., Adamiec-Wójcik I. and Wojciech S. (2006): Dynamics of Flexible Multibody Systems: Rigid Finite Element Method. - Berlin: Springer.
• [9] Wittbrodt E., Szczotka M., Maczyński A. and Wojciech S. (2013): Rigid Finite Element Method in Analysis of Dynamics of Offshore Structures. - Berlin: Springer.