DIFFERENT ANALYTICAL METHODS FOR STRONGLY NONLINEAR OSCILLATOR WITH HIGH NONLINEARITY

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AKBARZADEH MEHDI; FARSHIDIANFAR ANOOSHIRAVAN; Nadaf Shargh Hojat

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Seminar Paper

Paper Information

Seminar: INTERNATIONAL CONFERENCE ON RESEARCH IN SCIENCE AND TECHNOLOGY
Year:2016 | Issue:2

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Title

DIFFERENT ANALYTICAL METHODS FOR STRONGLY NONLINEAR OSCILLATOR WITH HIGH NONLINEARITY

Author(s)

AKBARZADEH MEHDI | FARSHIDIANFAR ANOOSHIRAVAN | Nadaf Shargh Hojat

Keywords

ANALYTICAL METHODS

NONLINEAR OSCILLATION

PERIODIC SOLUTION

NATURAL FREQUENCY

Abstract

NONLINEAR OSCILLATOR MODELS HAVE BEEN WIDELY USED IN MANY AREAS OF PHYSICS AND ENGINEERING SUCH AS MECHANICAL AND STRUCTURAL PROBLEMS. IN THIS PAPER, DIFFERENT ANALYTICAL METHODS ARE APPLIED TO THE STRONGLY NONLINEAR OSCILLATOR WITH HIGH NONLINEARITY. PERIODIC SOLUTIONS ARE ANALYTICALLY VERIFIED AND CONSEQUENTLY THE RELATIONSHIP BETWEEN THE NATURAL FREQUENCY AND THE INITIAL AMPLITUDE IS OBTAINED IN AN ANALYTICAL FORM. ACCORDING TO THIS ARTICLE ON COMPARATIVE STUDY OF FOUR ANALYTICAL METHOD TO SOLVE THE EQUATIONS OF ORDINARY DIFFERENTIAL EQUATION VIBRATION BEAM IS FOCUSED. THE OBTAINED RESULTS ARE COMPARED WITH EACH OTHER AND EXACT SOLUTION. ACCURACY AND VALIDITY OF THE PROPOSED TECHNIQUES ARE THEN VERIFIED BY COMPARING THE NUMERICAL RESULTS OBTAINED BASED ON THESE METHODS AND EXACT INTEGRATION METHOD. THESE METHODS ARE COUPLED HOMOTOPY VARIATIONAL FORMULATION, INTEGRAL ITERATION METHOD, AMPLITUDE FREQUENCY FORMULATION AND VARIATIONAL APPROACH.FINALLY, PRESENT ANALYTICAL PROCEDURES IS EVALUATED IN COMPARISON WITH NUMERICAL CALCULATION METHODS.

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APA: Copy

AKBARZADEH, MEHDI, FARSHIDIANFAR, ANOOSHIRAVAN, & Nadaf Shargh, Hojat. (2016). DIFFERENT ANALYTICAL METHODS FOR STRONGLY NONLINEAR OSCILLATOR WITH HIGH NONLINEARITY. INTERNATIONAL CONFERENCE ON RESEARCH IN SCIENCE AND TECHNOLOGY. SID. https://sid.ir/paper/929278/en

Vancouver: Copy

AKBARZADEH MEHDI, FARSHIDIANFAR ANOOSHIRAVAN, Nadaf Shargh Hojat. DIFFERENT ANALYTICAL METHODS FOR STRONGLY NONLINEAR OSCILLATOR WITH HIGH NONLINEARITY. 2016. Available from: https://sid.ir/paper/929278/en

IEEE: Copy

MEHDI AKBARZADEH, ANOOSHIRAVAN FARSHIDIANFAR, and Hojat Nadaf Shargh, “DIFFERENT ANALYTICAL METHODS FOR STRONGLY NONLINEAR OSCILLATOR WITH HIGH NONLINEARITY,” presented at the INTERNATIONAL CONFERENCE ON RESEARCH IN SCIENCE AND TECHNOLOGY. 2016, [Online]. Available: https://sid.ir/paper/929278/en

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