Identification of Rotor Unbalance as Inverse Problem of Measurement

Yuri Menshikov^{*}

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References

[1] A. W. Lees and M. I. Friswell, “The Evaluation of Rotor Imbalance in Flexibly Mounted Machines,” Journal of Sound and Vibration, Vol. 208, No. 5, 1997, pp. 671-683.

http://dx.doi.org/10.1006/jsvi.1997.1260

[2] M. G. Smart, M. I. Friswell and A. W. Lees, “Estimating Turbogenerator Foundation Parameters: Model Selection and Regularization,” Proceedings of the Royal Society of London A, Vol. 456, 2000, pp. 1583-1607.

http://dx.doi.org/10.1098/rspa.2000.0577

[3] M. S. Darlow, “Balancing of High-Speed Machinery: Theory, Methods and Experimental Results,” Mechanical Systems and Signal Processing, Vol. 1, No. 1, 1982, pp. 105-134.

http://dx.doi.org/10.1016/0888-3270(87)90087-2

[4] Yu. L. Menshikov and N. V. Polyakov, “Operative Evaluation of Unbalance Characteristics of a Deformable Rotor,” Proceedings of 8th International Symposium on Technical Diagnostics (IMEKO), Dresden, 23-25 September 1992, pp. 399-408.

[5] Yu. L. Menshikov and N. V. Polyakov, “The New Statement of Problem of Unbalance Identification,” Proceedings of ICTAM 2004, Warsaw, 15-21 August 2004.

[6] A. N. Tikhonov and V. Y. Arsenin, “The Methods of Solution of the Incorrectly Formulated Problems,” Science, Moscow, 1979.

[7] A. V. Goncharskij, A. C. Leonov and A. G. Yagola, “About One Regularized Algorithm for Ill-Posed Problems with Approximate Given Operator,” Journal of Computational Mathematics and Mathematical Physics, Vol. 12, No. 6, 1972, pp. 1592-1594.

[8] Yu. L. Menshikov, “Useful Hypothesis in Inverse Problems of Interpretation,” Proceedings of International Conference Inverse Problems and Applications (IPA2013), Linkoping University, Linkoping, 2-6 April 2013.

[9] Yu. L. Menshikov, “Solution Estimations of Measurement’s Inverse Problem,” Proceedings of 4th Inverse Problems, Design and Optimization Symposium (IPDO-2013), Book of Abstracts, Albi, 26-28 June 2013.

[10] Yu. L. Menshikov, “Synthesis of Adequate Mathematical Description as Solution of Special Inverse Problems,” European Journal of Mathematical Sciences, Vol. 2, No 3, 2013, pp. 256-271.

[11] Yu. L. Menshikov, “The Reduction of Initial Date Inaccuracy in Ill-Posed Problems,” Proceedings of 15th IMACS World Congress on Scientific Computation, Modelling and Applied Mathematics, Vol. VI, Berlin, 24-29 August 1997, pp. 577-582.

[12] Yu. L. Menshikov, “Identification of Optimal Mathematical Model of External Impacts,” Proceedings of MATHMOD 03, Vienna, 5-7 February 2003.

[13] Yu. L. Menshikov, “Some New Statements of Inverse Problems of Recognition,” 10th International Conference on Mathematical Methods in Electromagnetic Theory, Kharkov, 14-17 September 2004, pp. 464-466.

[14] Yu. L. Menshikov, “Recognition of Rotor Machines Unbalance,” Differential Equations and Their Appendices in Physics. The Collection of the Proceedings, Dnepropetrovsk, 1988, pp. 44-56.

[15] Yu. L. Menshikov, “Identification of Rotor Unbalance in Minimax Statement,” 13th International Congress on Sound and Vibration, Vienna, 2-6 July 2006, pp. 345-352.