Engineering Transactions, 47, 3-4, pp. 247–268, 1999

Transient Vibration of Unsteady Linear Closed Loop Systems

E. Wittbrodt
Technical University of Gdansk
Poland

K.J. Kaliński
Technical University of Gdansk
Poland

A problem of unsteady linear closed loop system vibration is formulated and solved in this paper. Proportional, ideal derivative and delayed feedback interaction is considered. The mixed method of rigid and deformable finite elements is extended by including coupling elements, and applied to modelling the system. An unconditionally stable numerical integration variant of the Newmark method is used for solving the problem. Special computer software is implemented and illustrative calculations of the traverse shaper's model are performed. Time and frequency plots for chosen generalised coordinates of the model and for several cases of the feedback interaction, are obtained as results.
Keywords: structure vibration; closed loop systems; finite element method; numerical methods; computation
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References

K. KALIŃSKI, The finite element method in the closed loop mechanical systems vibration's calculation. Ph.D. Thesis [in Polish], Technical University of Gdansk, Gdansk 1988.

K. KALIŃSKI and E. WITTBRODT, An influence of feedback on dynamics of systems with changing in time configuration modelled by the finite element method, Proc.: XV Int. Conference on Dynamics of Machines, Frankfurt/Oder, 265–274,1985.

K. KALIŃSKI, The finite element method application to linear closed loop steady system vibration analysis, Int. J. Mech. Science, 39, 3, 315–330, 1997.

E. WITTBRODT, Dynamics of systems whose configuration changes with time, using finite element method [in Polish], Zeszyty Naukowe Politechniki Gdańskiej No. 369, Mechanika XLVI, 1983.

W. GAWROŃSKI, J. KRUSZEWSKI, W. OSTACHOWICZ, J. TARNOWSKI and E. WITTBRODT, The finite element method in the dynamics of structures [in Polish], Arkady, Warszawa 1984.

K.J. BATHE and E.L. WILSON, Numerical methods in finite element analysis, Prentice Hall, Englewood Cliffs 1976.

K. KALIŃSKI and W. PRZYBYLSKI, Modelling and analysis of the shaft burnishing process, Machine Vibration, 2, 150–156, 1993.

M. KLEIBER, The finite element method in nonlinear mechanics of continuum [in Polish], PWN, Warszawa–Poznań 1985.

V. GRASSO, S. NOTTO LA DIEGA and A. PASSANNANTI, Dynamic cutting coefficients in three-dimensional cutting, Int. J. Mach. Tool Des., 20, 235–249, 1980.




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