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Application of first-order sensitivity analysis to stabilisation of unstable continuous multi-degree-of-freedom parametric periodic systems Cover

Application of first-order sensitivity analysis to stabilisation of unstable continuous multi-degree-of-freedom parametric periodic systems

Open Access
|Sep 2025

References

  1. Lu Y., Murthy V. R., Sensitivity Analysis of Discrete Periodic Systems with Applications to Helicopter Rotor Dynamics, AIAA Journal 30, 8, 1962–1969, 1992.
  2. Gu Y., Chen L., Wang W., Further Research for Sensitivity Analyses of Discrete Periodic Systems, AIAA Journal 3, 5, 653–656, 1999.
  3. Seyranian A. P., Solem F., Pedersen P., Multi-Parameter Linear Periodic Systems: Sensitivity Analysis and Applications, Journal of Sound and Vibrations 229, 89–111, 2000.
  4. Wójcicki Z., Sensitivity analysis as a method of absorber tuning for reduction of steady state response of linear parametric systems, Journal of Sound and Vibrations 253, 4, 755–772, 2002
  5. Wójcicki Z., Dynamic elimination of a parametric resonance vibration, University of Technology Press, Wroclaw, 2003 (in Polish).
  6. Wójcicki, Z.: Eigenproblem sensitivity analysis of continuous parametric periodic systems, IOP Conf. Ser.: Mater. Sci. Eng., 661 012042 (XXVIII R-P-S Seminar, doi: 10.1088/1757-899X/661/1/012042) (2019).
  7. Wójcicki, Z.: First and second order sensitivity analysis of discontinuous parametric periodic systems, IOP Conf. Ser.: Mater. Sci. Eng. 1015 012001 (XXIX R-P-S Seminar, doi: 10.1088/1757-899X/1015/1/012001) (2020).
  8. Wójcicki, Z. (2022). Method of Stabilization of Resonant Parametric Vibrations. In: Akimov, P., Vatin, N. (eds) XXX Russian-Polish-Slovak Seminar Theoretical Foundation of Civil Engineering (RSP 2021). Lecture Notes in Civil Engineering, vol 189. Springer, Cham. doi: 10.1007/978-3-030-86001-1_43
  9. Demidowicz B.P., Mathematical theory of stability, WNT, Warszawa, 1972 (in Polish).
  10. Fichtenholz G.M., Differential and Integral Calculus, WNT, Warszawa, 1978 (in Polish).
  11. Den Hartog J.P., Mechanical vibrations, McGraw-Hill, New York, 1956 (fourth edition)
  12. Wolfram S., The Mathematica Book, Wolfram Maedia/Cambridge University Press, New York, 1999 (fourth edition)
DOI: https://doi.org/10.2478/sgem-2025-0014 | Journal eISSN: 2083-831X | Journal ISSN: 0137-6365
Language: English
Page range: 62 - 74
Submitted on: Jan 22, 2025
Accepted on: Apr 30, 2025
Published on: Sep 19, 2025
Published by: Wroclaw University of Science and Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2025 Zbigniew Wójcicki, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution 4.0 License.