Analytical Solutions to Non-linear Mechanical Oscillation Problems

H. D. Kaliji, M. Ghadimi, Amin Barari

    Research output: Contribution to journalJournal articleResearchpeer-review

    18 Citations (Scopus)

    Abstract

    In this paper, the Max-Min Method is utilized for solving the nonlinear oscillation problems. The proposed approach is applied to three systems with complex nonlinear terms in their motion equations. By means of this method, the dynamic behavior of oscillation systems can be easily approximated using He Chengtian’s interpolation. The comparison of the obtained results from Max-Min method with time marching solution and the results achieved from literature verifies its convenience and effectiveness. It is predictable that He’s Max-Min Method will find wide application in various engineering problems as indicated in the following cases.
    Original languageEnglish
    JournalJournal of Vibroengineering
    Volume13
    Issue number2
    Pages (from-to)133-143
    Number of pages11
    ISSN1392-8716
    Publication statusPublished - 2011

    Keywords

    • Nonlinear Vibration
    • Max-Min Method
    • Periodic Solution
    • Approximate Frequency
    • Time Marching Solution

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