Model order reduction of Mikota’s vibration chain including damping effects by means of proper orthogonal decomposition

• Autorzy: Weber W. E. , Zastrau B. W.

Identyfikatory

DOI

10.15632/jtam-pl.56.2.511

• Języki publikacji: EN

Abstrakty

EN

In engineering disciplines, both in scientific and practical applications, systems with a tremendous number of degrees of freedom occur. Hence, there is a need for reducing the computational effort in investigating these systems. If the system behaviour has to be calculated for many time instances and/or load scenarios, the need for efficient calculations further increases. Model order reduction is a common procedure in order to cope with such large systems. The aim of model order reduction is to reduce the (computational) effort in solving the given task while still keeping main features of the respective system. One approach of model order reduction uses the proper orthogonal decomposition. This approach is applied to Mikota’s vibration chain, a linear vibration chain with remarkable properties, where two cases of an undamped and a damped structure are investigated.

Słowa kluczowe

EN

Mikota’s vibration chain; POD; damping, multibody system; mode shape

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2018
• Tom: Vol. 56 nr 2
• Strony: 511--521
• Opis fizyczny: Bibliogr. 21 poz., rys.

Twórcy

autor

Weber W. E.

• Chair of Structural Analysis, Helmut-Schmidt-University/University of the Federal Armed Forces Hamburg, Hamburg, Germany

autor

Zastrau B. W.

• Institute of Mechanics and Shell Structures, Technische Universität Dresden, Dresden, Germany

Bibliografia

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• 16. Muller P.C., Schiehlen W.O. ¨ , 1985, Linear Vibrations, M. Nijhoff Publishers, Dordrecht
• 17. Radermacher A., Reese S., 2013, A comparison of projection-based model reduction concepts in the context of nonlinear biomechanics, Archive of Applied Mechanics, 83, 8, 1193-1213
• 18. Weber W., Anders B., Muller P.C. ¨ , 2015, A proof on eigenfrequencies of a special linear vibration system, Zeitschrift f¨ur Angewandte Mathematik und Mechanik, 95, 5, 519-526
• 19. Weber W., Anders B., Zastrau B.W., 2008, Some damping characteristics of a chain structured vibration system, Proceedings in Applied Mathematics and Mechanics, 8, 1, 10391-10392
• 20. Weber W., Anders B., Zastrau B.W., 2013, Calculating the right-eigenvectors of a special vibration chain by means of modified Laguerre polynomials, Journal of Theoretical and Applied Mechanics, Sofia, 43, 4, 17-28
• 21. Weber W.E., Muller P.C., Anders B. ¨ , 2017, The remarkable structure of the mode shapes and eigenforces of a special multibody oscillator, Archive of Applied Mechanics, to appear, DOI: 10.1007/s00419-017-1327-9

Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).