A Nonlinear Parametrically Excited (NPE) system subjected to a harmonic base excitation is presented. Parametric amplification, which is the process of amplifying the system's response with a parametric excitation, has been observed in mechanical and electrical systems. This paper includes an introduction to the equation of motion of interest, a brief analysis of the equations nonlinear response, and numerical results. The present work describes the effect of cubic stiffness nonlinearity, cubic parametric nonlinearity, and the relative phase between the base excitation and parametric excitation under parametric amplification. The nonlinearities investigated in this paper are generated by an electromagnetic system. These nonlinearities were found both experimentally and analytically in previous work [1]; however, their effect on a base excited NPE is demonstrated in the scope of this paper. This work has application in parametric amplification for systems, which are affected by strong stiffness nonlinearities and excited by harmonic motion. A careful selection of system parameters, such as relative phase and cubic parametric nonlinearity can result in significant parametric amplification, and prevent the jump from upper stable solutions to the lower stable solutions.

Dynamic response of a nonlinear parametrically excited system subject to harmonic base excitation / Zaghari, Bahareh; Rustighi, Emiliano; Tehrani, Maryam Ghandchi. - In: JOURNAL OF PHYSICS. CONFERENCE SERIES. - ISSN 1742-6588. - 744:(2016), pp. 012125.1-012125.10. (Intervento presentato al convegno MOVIC 2016 and RASD 2016 tenutosi a Southampton, UK nel 4th-6th July 2016) [10.1088/1742-6596/744/1/012125].

Dynamic response of a nonlinear parametrically excited system subject to harmonic base excitation

Rustighi, Emiliano;
2016-01-01

Abstract

A Nonlinear Parametrically Excited (NPE) system subjected to a harmonic base excitation is presented. Parametric amplification, which is the process of amplifying the system's response with a parametric excitation, has been observed in mechanical and electrical systems. This paper includes an introduction to the equation of motion of interest, a brief analysis of the equations nonlinear response, and numerical results. The present work describes the effect of cubic stiffness nonlinearity, cubic parametric nonlinearity, and the relative phase between the base excitation and parametric excitation under parametric amplification. The nonlinearities investigated in this paper are generated by an electromagnetic system. These nonlinearities were found both experimentally and analytically in previous work [1]; however, their effect on a base excited NPE is demonstrated in the scope of this paper. This work has application in parametric amplification for systems, which are affected by strong stiffness nonlinearities and excited by harmonic motion. A careful selection of system parameters, such as relative phase and cubic parametric nonlinearity can result in significant parametric amplification, and prevent the jump from upper stable solutions to the lower stable solutions.
2016
13th International Conference on Motion and Vibration Control (MOVIC 2016) and the 12th International Conference on Recent Advances in Structural Dynamics (RASD 2016)
Bristol
Institute of Physics Publishing
Zaghari, Bahareh; Rustighi, Emiliano; Tehrani, Maryam Ghandchi
Dynamic response of a nonlinear parametrically excited system subject to harmonic base excitation / Zaghari, Bahareh; Rustighi, Emiliano; Tehrani, Maryam Ghandchi. - In: JOURNAL OF PHYSICS. CONFERENCE SERIES. - ISSN 1742-6588. - 744:(2016), pp. 012125.1-012125.10. (Intervento presentato al convegno MOVIC 2016 and RASD 2016 tenutosi a Southampton, UK nel 4th-6th July 2016) [10.1088/1742-6596/744/1/012125].
File in questo prodotto:
File Dimensione Formato  
2016_Zaghari_RASD.pdf

accesso aperto

Tipologia: Versione editoriale (Publisher’s layout)
Licenza: Creative commons
Dimensione 2.01 MB
Formato Adobe PDF
2.01 MB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/290598
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 10
  • ???jsp.display-item.citation.isi??? 6
social impact