MODAL ANALYSIS OF STEPPED TIMOSHENKO SHAFTS BY THE FINITE ELEMENT METHOD

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SEDIGHI MOHAMMAD; Hosseini Hiwa

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Seminar Paper

Paper Information

Seminar: CONFERENCE OF IRANIAN AEROSPACE SOCIETY
Year:2015 | Issue:14

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Title

MODAL ANALYSIS OF STEPPED TIMOSHENKO SHAFTS BY THE FINITE ELEMENT METHOD

Author(s)

SEDIGHI MOHAMMAD | Hosseini Hiwa

Keywords

TIMOSHENKO

FEM

CLASSIC BEAM THEORY

STEPPED SHAFT

Abstract

IN THIS PAPER, FREE VIBRATION ANALYSIS OF A STEPPED TIMOSHENKO SHAFT WITH NEGLIGIBLE DAMPING IS INVESTIGATED BY MEANS OF THE FINITE ELEMENT METHOD IN BOTH UNIFORM AND NON-UNIFORM STATUS. NON-UNIFORMITY IS ASSUMED TO BE IN CROSS SECTIONAL AREA OF THE SHAFT WHERE THE MIDDLE PART OF THE STEPPED SHAFT IS IN CONICAL FORM. THE TIMOSHENKO BEAM ELEMENT WITH LINEAR SHAPE FUNCTIONS WAS USED FOR THE FINITE ELEMENT MODELING OF THE SHAFT. ASSEMBLING OF MASS AND STIFFNESS MATRICES, EQUATION OF MOTION DERIVATION AND EIGENVALUE SOLUTION WERE PERFORMED BY USE OF MATLAB SOFTWARE. NATURAL FREQUENCIES OF THE SHAFT WERE CALCULATED AND THEIR CORRESPONDING MODE SHAPES WERE PLOTTED FOR TWO BOUNDARY CONDITIONS NAMELY CLAMPED AND SIMPLY SUPPORTED. THE DIFFERENCE BETWEEN NATURAL FREQUENCIES OBTAINED FROM THE TIMOSHENKO MODEL WERE COMPARED WITH THOSE FROM CLASSICAL BERNOULLI-EULER THEORY AND THE EFFECTS OF ROTARY INERTIA AND SHEAR DEFORMATION ON THE MAGNITUDES OF CALCULATED NATURAL FREQUENCIES WERE STUDIED. IT HAS BEEN OBSERVED THAT UNIFORM STEPPED SHAFTS ARE STIFFER THAN NON-UNIFORM STEPPED ONES FOR EQUAL AMOUNT OF MASS, SINCE THEIR FREQUENCY PARAMETER IS HIGHER. ADDITIONALLY, IT BECAME EVIDENT THAT THE EFFECTS OF TRANSVERSE SHEAR AND ROTARY INERTIA WILL BE MUCH MORE PRONOUNCED AS THE MODE NUMBER INCREASES.

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APA: Copy

SEDIGHI, MOHAMMAD, & Hosseini, Hiwa. (2015). MODAL ANALYSIS OF STEPPED TIMOSHENKO SHAFTS BY THE FINITE ELEMENT METHOD. CONFERENCE OF IRANIAN AEROSPACE SOCIETY. SID. https://sid.ir/paper/945611/en

Vancouver: Copy

SEDIGHI MOHAMMAD, Hosseini Hiwa. MODAL ANALYSIS OF STEPPED TIMOSHENKO SHAFTS BY THE FINITE ELEMENT METHOD. 2015. Available from: https://sid.ir/paper/945611/en

IEEE: Copy

MOHAMMAD SEDIGHI, and Hiwa Hosseini, “MODAL ANALYSIS OF STEPPED TIMOSHENKO SHAFTS BY THE FINITE ELEMENT METHOD,” presented at the CONFERENCE OF IRANIAN AEROSPACE SOCIETY. 2015, [Online]. Available: https://sid.ir/paper/945611/en

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