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An Efficient Analytical Approach to Investigate the Dynamics of a Misaligned Multirotor System

Author

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  • Nicolae Herisanu

    (Department of Mechanics and Strength of Materials, University Politehnica, 300223 Timisoara, Romania
    Center for Fundamental Technical Research, Romanian Academy, 300223 Timisoara, Romania)

  • Vasile Marinca

    (Center for Fundamental Technical Research, Romanian Academy, 300223 Timisoara, Romania)

Abstract

This paper deals with the analytical investigation of a multirotor system connected by a flexible coupling subjected to dynamic angular misalignment. A novel analytical approach is employed for this purpose, namely the optimal auxiliary functions method, which proved to be successfully used to obtain explicit analytical solutions to a system of strongly nonlinear differential equations with variable coefficients, useful in dynamic analysis of the considered multirotor system. The proposed procedure proved to be very efficient in practice for solving complicated nonlinear vibration problems.

Suggested Citation

  • Nicolae Herisanu & Vasile Marinca, 2020. "An Efficient Analytical Approach to Investigate the Dynamics of a Misaligned Multirotor System," Mathematics, MDPI, vol. 8(7), pages 1-18, July.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1083-:d:379846
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    References listed on IDEAS

    as
    1. M. Li, 2012. "Nonlinear Vibration of a Multirotor System Connected by a Flexible Coupling Subjected to the Holonomic Constraint of Dynamic Angular Misalignment," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-15, March.
    2. Nicolae Herisanu & Vasile Marinca & Gheorghe Madescu & Florin Dragan, 2019. "Dynamic Response of a Permanent Magnet Synchronous Generator to a Wind Gust," Energies, MDPI, vol. 12(5), pages 1-11, March.
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    Cited by:

    1. Nicolae Herisanu & Bogdan Marinca & Livija Cveticanin & Vasile Marinca, 2023. "Analysis of the Vibro-Impact Nonlinear Damped and Forced Oscillator in the Dynamics of the Electromagnetic Actuation," Mathematics, MDPI, vol. 11(9), pages 1-24, May.
    2. Nicolae Herisanu & Bogdan Marinca & Vasile Marinca, 2022. "Dynamics of the Vibro-Impact Nonlinear Damped and Forced Oscillator under the Influence of the Electromagnetic Actuation," Mathematics, MDPI, vol. 10(18), pages 1-16, September.

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