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Information Journal Paper

Title

STABILITY ANALYSIS OF A STRONGLY DISPLACEMENT TIME-DELAYEDDUFFING OSCILLATOR USING MULTIPLE SCALES HOMOTOPY PERTURBATIONMETHOD

Pages

  260-274

Abstract

 In the present study, some perturbation methods are applied to Duffing equations having a displacementtime-delayed variable to study the stability of such systems. Two approaches are considered to analyze Duffingoscillator having a strong delayed variable. The HOMOTOPY PERTURBATION METHOD is applied through the frequencyanalysis and nonlinear frequency is formulated as a function of all the problem’ s parameters. Based on the multiplescales HOMOTOPY PERTURBATION METHOD, a uniform second-order periodic solution having a damping part isformulated. Comparing these two approaches reveals the accuracy of using the second approach and further allowsstudying the stability behavior. Numerical simulations are carried out to validate the analytical finding.

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  • Cite

    APA: Copy

    ELDIB, YUSRY O.. (2018). STABILITY ANALYSIS OF A STRONGLY DISPLACEMENT TIME-DELAYEDDUFFING OSCILLATOR USING MULTIPLE SCALES HOMOTOPY PERTURBATIONMETHOD. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 4(4), 260-274. SID. https://sid.ir/paper/353148/en

    Vancouver: Copy

    ELDIB YUSRY O.. STABILITY ANALYSIS OF A STRONGLY DISPLACEMENT TIME-DELAYEDDUFFING OSCILLATOR USING MULTIPLE SCALES HOMOTOPY PERTURBATIONMETHOD. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS[Internet]. 2018;4(4):260-274. Available from: https://sid.ir/paper/353148/en

    IEEE: Copy

    YUSRY O. ELDIB, “STABILITY ANALYSIS OF A STRONGLY DISPLACEMENT TIME-DELAYEDDUFFING OSCILLATOR USING MULTIPLE SCALES HOMOTOPY PERTURBATIONMETHOD,” JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, vol. 4, no. 4, pp. 260–274, 2018, [Online]. Available: https://sid.ir/paper/353148/en

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