Investigation of the Equivalent Representation Form of Strongly Damped Nonlinear Oscillators by a Nonlinear Transformation Approach

@article{ElasZiga2013InvestigationOT,
  title={Investigation of the Equivalent Representation Form of Strongly Damped Nonlinear Oscillators by a Nonlinear Transformation Approach},
  author={Alex El{\'i}as-Z{\'u}{\~n}iga and Oscar Mart{\'i}nez Romero},
  journal={J. Applied Mathematics},
  year={2013},
  volume={2013},
  pages={245092:1-245092:7}
}
We use a nonlinear transformation method to develop equivalent equations of motion of nonlinear homogeneous oscillatory systems with linear and nonlinear odd damping terms. We illustrate the applicability of our approach by using the equations of motion that arise in many engineering problems and compare their amplitude-time curves with those obtained by the numerical integration solutions of the original equations of motion. 

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References

Publications referenced by this paper.
SHOWING 1-10 OF 30 REFERENCES

Mart́ınez-Romero, “Accurate solutions of conservative nonlinear Oscillators by the enhanced Cubication method,”Mathematical

  • O. A. Eĺıas-Zúñiga
  • Problems in Engineering,
  • 2013

An analytic solution of transversal oscillation of quintic non-linear beam with homotopy analysis method

  • H. M. Sedighi, K. H. Shirazi, J. Zare
  • International Journal of Non- Linear Mechanics…
  • 2012
1 Excerpt

Approximate solution for the Duffing-harmonic oscillator by the enhanced cubication method

  • A. Eĺıas-Zúñiga, O.Mart́ınez-Romero, andR.K. Córdoba-Dı́az
  • Mathematical Problems in Engineering, vol…
  • 2012

Exact solutions for oscillators with quadratic damping and mixed-parity nonlinearity

  • S. K. Lai, K. W. Chow
  • Physica Scripta, vol. 85, no. 4, Article ID…
  • 2012

Nonlinear damping in amicromechanical oscillator,”Nonlinear

  • S. Zaitsev, O. Shtempluck, E. Buks, O. Gottlieb
  • Dynamics, vol. 67,
  • 2012
1 Excerpt

Construction of approximate analytical solutions to strongly nonlinear damped oscillators

  • B.S.Wu andW.P. Sun
  • Archive of Applied Mechanics, vol. 81, no. 8, pp…
  • 2011

Dynamic analysis of a two degree of freedom system with irrational nonlinearity

  • Q. Cao, Y. Xiong
  • Proceedings of the 7th EuropeanNonlinearDynamics…
  • 2011
1 Excerpt

Homoclinic bifurcation and chaos control in MEMS resonators

  • M. S. Siewe, U. H. Hegazy
  • Applied Mathematical Modelling, vol. 35, no. 12…
  • 2011
1 Excerpt

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