Energy analysis of an electromagnetic loudspeaker

Natasha Hirschfeldt, Roberta Lima, Rubens Sampaio

Resumo


An electromechanical system is composed by two subsystems with distinct origins:  one of a mechanical nature and another of electromagnetic nature. The energies in the system  have also different origins. Some of them are mechanical, as kinetic and potential, and others  are electromagnetic, as magnetic and electrical. For a proper description of an electromechanical  system dynamics it is not sufficient to describe each subsystem separately. Coupling terms must be  considered in the system dynamics. These terms characterize the mutual influence between the two  subsystems and the interplay of the energies of the system. The objective of this paper is to analyze  from an energetic point of view an electromechanical system. This paper shows how the dynamics  of an electromechanical system can be constructed by the definition of the energies that are present  in the system and their interplay using the Lagrangian method. To exemplify, an electromagnetic  loudspeaker will be analyzed. Its dynamics will be constructed and numerical integrated in order  to make an energetic analysis.  


Palavras-chave


Lagrangian; energy; co-energy; electromechanical; transducer.

Texto completo:

PDF (English)

Referências


Jeltsema, D., Scherpen, J. M. A. Multidomain modeling of nonlinear networks and systems. IEEE Control Systems, vol. 29, no. 4, pp. 28-59, 2009. DOI: 10.1109/MCS.2009.932927

Lima, R., Sampaio, R. Two parametric excited nonlinear systems due to electromechanical coupling. Journal of the Brazilian Society of Mechanical Sciences and Engineering, volume 38, pages 931-943, 2016.

Lima, R., Sampaio, R., Hagedorn, P., Deü, J. Comments on the paper ”On nonlinear dynamics behavior of an electro-mechanical pendulum excited by a nonideal motor and a chãos control taking into account parametric errors” published in this journal. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2019.

Lima, R., Sampaio, R. Pitfalls in the dynamics of coupled electromechanical systems. CNMAC 2018, Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, 2019.

Manhães, W., Sampaio, R., Lima, R., Hagedorn, P., Deü, J. Lagrangians for electromechanical systems. Mecânica Computacional, Vol XXXVI, págs. 1911-1934, 2018.

Manhães, W., Sampaio, R., Lima, R., Hagedorn, P. Two coupling mechanisms compared by their Lagrangians. DINAME 2019, Proceedings of the XVIII International Symposium on Dynamic Problems of Mechanics, 2019.

Preumont, A. Mechatronics: Dynamics of Electromechanical and Piezoelectric Systems, volume 136, G.M.L. GLADWELL, University of Waterloo, Canada, 2006.

Sampaio, R., Lima, R., Hagedorn, P. One alone makes no couplinq. Mecânica Computacional, Vol XXXVI, págs. 931-944, 2018.

Wells, D. A. Schaumds outline oftheory and problems of Lagrangian Dynamics with a treatment of Euler’s Equations of Motion, Hamiltones Equations and Hamilton’s Principie, New York: McGraw-Hill, 1967




DOI: https://doi.org/10.5540/03.2021.008.01.0400

Apontamentos

  • Não há apontamentos.


SBMAC - Sociedade de Matemática Aplicada e Computacional
Edifício Medical Center - Rua Maestro João Seppe, nº. 900, 16º. andar - Sala 163 | São Carlos/SP - CEP: 13561-120
 


Normas para publicação | Contato