Application of the Amplitude-Frequency Formulation to a Nonlinear Vibration System Typified by a Mass Attached to a Stretched Wire
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He’s amplitude–frequency formulation is applied to study the periodic solutions of a strongly nonlinear system. This system corresponds to the motion of a mass attached to a stretched wire. The usefulness and effectiveness of the proposed technique is illustrated. The results are compared with exact solutions and those obtained by the harmonic balance. Approximate frequencies are valid in the entire range of vibration amplitudes. The agreement between the approximate and exact frequencies is demonstrated and discussed
Keywordsnonlinear vibration system amplitude–frequency formulation periodic solution angular frequencies
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