Calculation of single-mode approximation to the limit-cycle solution of a nonlinear wave equation,10.1016/j.mechrescom.2010.04.010,Mechanics Research

Calculation of single-mode approximation to the limit-cycle solution of a nonlinear wave equation


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We construct an averaging procedure to calculate an approximation to the single mode limit-cycle solution to a nonlinear wave equation. The nonlinearity consists of two terms, one linear in the first-order time derivative, the second proportional to the third power of this derivative. An equation of this form appears in a model for growth of wind-induced vibrations in overhead power lines.

Journal: Mechanics Research Communications - MECH RES COMMUN , vol. 37, no. 4, pp. 369-371, 2010

DOI: 10.1016/j.mechrescom.2010.04.010

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Keywords (5)

Calculation of single-mode approximation to the limit-cycle solution of a nonlinear wave equation,10.1016/j.mechrescom.2010.04.010,Mechanics Research

References (5)

Theory of Oscillations (Citations: 232)

Oscillator with fraction order restoring force (Citations: 17)

An Introduction to Nonlinear Oscillations (Citations: 56)

A simple model of the growth of wind-induced oscillations in overhead lines (Citations: 5)

Introduction to Perturbation Techniques (Citations: 885)


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