Nonlinear feedback self-excitation of modal oscillations in a class of under-actuated two degrees-of-freedom mechanical systems
Recently, scientists have utilized self-excited oscillations in many mechanical and micromechanical applications and accordingly, several experimental and theoretical research activities have been undertaken with the objective of artificially inducing self-excited oscillation in mechanical systems....
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Veröffentlicht in: | International journal of non-linear mechanics 2021-10, Vol.135, p.103768, Article 103768 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | Recently, scientists have utilized self-excited oscillations in many mechanical and micromechanical applications and accordingly, several experimental and theoretical research activities have been undertaken with the objective of artificially inducing self-excited oscillation in mechanical systems. This paper considers some theoretical aspects of generation of self-excited oscillation in a two degrees-of-freedom under-actuated spring–mass–damper system by centralized nonlinear feedback. The control force depends on the response of both masses. The proposed control law is slightly general in nature as it entails both collocated and non-collocated control as special cases. The response of the nonlinear feedback control is studied with the help of the method of averaging. The present study shows that by appropriately selecting the control gains it is possible to excite the desired mode(s) of oscillation irrespective of initial conditions. Even it is possible to excite dual mode oscillation having the characteristics of quasiperiodic oscillations. The theoretical analysis of the dynamics of the system with the control is validated by simulation results, performed in MATLAB Simulink.
•Feedback excitation of self-excited oscillation in a 2-DOF mechanical system is considered.•The control is centralized in nature and entails widely studied control architecture as special cases.•Viscous damping considered is general in nature and not necessarily proportional.•Modal self-excitation is possible along with dual mode excitation having the characteristics of quasiperiodic oscillation. |
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ISSN: | 0020-7462 1878-5638 |
DOI: | 10.1016/j.ijnonlinmec.2021.103768 |