VIBRATION AND STABILITY OF AXIALLY MOVING PLATES BY STANDARD AND SPECTRAL FINITE ELEMENT METHODS

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KHATAMI SH.; AZHARI M.; SAADATPOUR M.M.

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Paper Information

Journal: ESTEGHLAL Year:2007 | Volume:26 | Issue:1 Page(s): 1-11

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Title

VIBRATION AND STABILITY OF AXIALLY MOVING PLATES BY STANDARD AND SPECTRAL FINITE ELEMENT METHODS

Author(s)

KHATAMI SH. | AZHARI M. | SAADATPOUR M.M. | Issue Writer Certificate

Keywords

AXIALLY MOVING PLATEQ3

FINITE ELEMENTQ2

SPECTRAL FINITE ELEMENT METHODQ3

VIBRATIONQ2

STABILITYQ2

EXACT SOLUTIONQ2

LAGRANGE FUNCTIONSQ3

Abstract

Based on classical plate theory, standard and spectral FINITE ELEMENT methods are extended for VIBRATION and dynamic STABILITY of axially moving thin plates subjected to in-plane forces. The formulation of the standard method earned through Hamilton's principle is independent of element type. But for solving numerical examples, an isoperimetric quadrilateral element is developed using Lagrange interpolation functions. The spectral method is, in fact, the solution of motion equation for an AXIALLY MOVING PLATE. Although this method has some limitations concerning boundary condition of plate and in-plane forces, it leads to an EXACT SOLUTION of free VIBRATION and STABILITY of plates traveling on parallel rollers. The method can be used as a benchmark of accuracy of other numerical methods.

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APA: Copy

KHATAMI, SH., AZHARI, M., & SAADATPOUR, M.M.. (2007). VIBRATION AND STABILITY OF AXIALLY MOVING PLATES BY STANDARD AND SPECTRAL FINITE ELEMENT METHODS. ESTEGHLAL, 26(1), 1-11. SID. https://sid.ir/paper/6010/en

Vancouver: Copy

KHATAMI SH., AZHARI M., SAADATPOUR M.M.. VIBRATION AND STABILITY OF AXIALLY MOVING PLATES BY STANDARD AND SPECTRAL FINITE ELEMENT METHODS. ESTEGHLAL[Internet]. 2007;26(1):1-11. Available from: https://sid.ir/paper/6010/en

IEEE: Copy

SH. KHATAMI, M. AZHARI, and M.M. SAADATPOUR, “VIBRATION AND STABILITY OF AXIALLY MOVING PLATES BY STANDARD AND SPECTRAL FINITE ELEMENT METHODS,” ESTEGHLAL, vol. 26, no. 1, pp. 1–11, 2007, [Online]. Available: https://sid.ir/paper/6010/en

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