Optimum Control of Gyroscopic Systems

Abstract:

The problem of optimal control of transverse rotor vibrations with gyroscopic interactions has been described and solved in the paper. An integral performance index has been defined for such system in order to minimize vibration level of a chosen rotor point. For this reason, an efficient way of establishing weight coefficients of integral performance index for multi-degree-of-freedom system with gyroscopic interactions has been described. Presented method enables to determine such weighing coefficients that selected modal forms would be assumed before dynamics properties and a performance index would took the minimum value. Computation results demonstrate that the proposed method is efficient and may be applied for complex mechatronic systems.

• Periodical: Solid State Phenomena (Volume 164)
• Pages: 121-126
• DOI: https://doi.org/10.4028/www.scientific.net/SSP.164.121
• Online since: June 2010
• Authors: Rafał Hein, Cezary Orlikowski
• Keywords: Mechanical System, Modal Analysis, Model Reduction, Vibration, Vibration Control

References

[1] C. Orlikowski, R. Hein: Reduced model of gyroscopic system, Wybrane zagadnienia analizy modalnej konstrukcji mechanicznych, Editor T. Uhl, AGH, Kraków (2007).

[2] E. Wittbrodt, R. Hein: Optimum control of the selected vibration forms in mechanical systems, Archive of Mechanical Engineering, Vol. 54, no. 3, (2007), pp.219-234.

[3] O.A. Solheim: Design of optimal control systems with prescribed eigenvalues, International Journal Control, Vol. 15, No. 1, (1972), pp.143-160.

DOI: 10.1080/00207177208932136