COMPARISON STUDY OF DISCRETE SINGULAR CONVOLUTION WITH THREE OTHER TRADITIONAL NUMERICAL METHODS FOR THE FREE TORSIONAL VIBRATION ANALYSIS OF NON-PRISMATIC SHAFTS

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Shokrollahi Mohammad; Zayeri Baghlani Nejad Amir

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Seminar Paper

Paper Information

Seminar: INTERNATIONAL CONFERENCE ON MODERN RESEARCH IN CIVIL ENGINEERING, ARCHITECTURAL, AND URBAN DEVELOPMENT
Year:2016 | Issue:4

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Title

COMPARISON STUDY OF DISCRETE SINGULAR CONVOLUTION WITH THREE OTHER TRADITIONAL NUMERICAL METHODS FOR THE FREE TORSIONAL VIBRATION ANALYSIS OF NON-PRISMATIC SHAFTS

Author(s)

Shokrollahi Mohammad | Zayeri Baghlani Nejad Amir

Keywords

DISCRETE SINGULAR CONVOLUTION

NUMERICAL ANALYSIS

SHAFT

NON-PRISMATIC

TORSIONAL VIBRATION

Abstract

IN THIS PAPER, THE FREE TORSIONAL VIBRATION OF NON-PRISMATIC SHAFTS IS INVESTIGATED. THE GOVERNING EQUATION IS NONLINEAR, SO THERE IS NO GENERAL ANALYTICAL SOLUTION FOR THE PROBLEM. USING NUMERICAL TECHNIQUES IS EFFICIENT IN SUCH CIRCUMSTANCES. THERE IS A WIDE RANGE OF NUMERICAL METHODS WHICH EACH ONE HAS SOME ABILITIES AND BENEFITS. SO, CHOOSING THE PROPER NUMERICAL METHOD IS IMPORTANT IN THE SOLUTION PROCEDURE. IN THIS PAPER, THE DISCRETE SINGULAR CONVOLUTION (DSC) WHICH IS A RELATIVELY NOVEL NUMERICAL APPROACH IS APPLIED FOR THE FIRST TIME. A COMPREHENSIVE COMPARISON STUDY IS CARRIED OUT BETWEEN THE DSC AND THREE OTHER TRADITIONAL NUMERICAL APPROACHES, I.E. FINITE ELEMENT (FE), SECOND ORDER FINITE DIFFERENCE (FD 2ND) AND DIFFERENTIAL QUADRATURE (DQ). THE CONVERGENCE, ABILITY AND EFFICIENCY OF THE DSC ARE EVALUATED IN COMPARISON WITH THREE OTHER METHODS BY SOLVING SEVERAL EXAMPLES. THE RESULTS INDICATE THE EFFICIENCY OF EACH METHOD AND BENEFICIAL CONCLUSIONS ARE ALSO GIVEN REGARDING THE PROPER METHOD FOR THE TORSIONAL VIBRATION ANALYSIS OF NON-PRISMATIC SHAFTS.

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APA: Copy

Shokrollahi, Mohammad, & Zayeri Baghlani Nejad, Amir. (2016). COMPARISON STUDY OF DISCRETE SINGULAR CONVOLUTION WITH THREE OTHER TRADITIONAL NUMERICAL METHODS FOR THE FREE TORSIONAL VIBRATION ANALYSIS OF NON-PRISMATIC SHAFTS. INTERNATIONAL CONFERENCE ON MODERN RESEARCH IN CIVIL ENGINEERING, ARCHITECTURAL, AND URBAN DEVELOPME. SID. https://sid.ir/paper/939506/en

Vancouver: Copy

Shokrollahi Mohammad, Zayeri Baghlani Nejad Amir. COMPARISON STUDY OF DISCRETE SINGULAR CONVOLUTION WITH THREE OTHER TRADITIONAL NUMERICAL METHODS FOR THE FREE TORSIONAL VIBRATION ANALYSIS OF NON-PRISMATIC SHAFTS. 2016. Available from: https://sid.ir/paper/939506/en

IEEE: Copy

Mohammad Shokrollahi, and Amir Zayeri Baghlani Nejad, “COMPARISON STUDY OF DISCRETE SINGULAR CONVOLUTION WITH THREE OTHER TRADITIONAL NUMERICAL METHODS FOR THE FREE TORSIONAL VIBRATION ANALYSIS OF NON-PRISMATIC SHAFTS,” presented at the INTERNATIONAL CONFERENCE ON MODERN RESEARCH IN CIVIL ENGINEERING, ARCHITECTURAL, AND URBAN DEVELOPME. 2016, [Online]. Available: https://sid.ir/paper/939506/en

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