NUMERICAL STUDY OF INCREASING ERROR ORDER IN FINITE DIFFERENCE METHOD USED FOR ANALYZING THE RECTANGULAR ISOTROPIC PLATE'S VIBRATION BEHAVIOR

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KARGAR NOVIN M.H.; KARBASCHI KASRA; HASANZADEH HASAN

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Paper Information

Journal: INTERNATIONAL JOURNAL OF ADVANCED DESIGN AND MANUFACTURING TECHNOLOGY Year:2008 | Volume:1 | Issue:3 (3) Page(s): 9-17

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Title

NUMERICAL STUDY OF INCREASING ERROR ORDER IN FINITE DIFFERENCE METHOD USED FOR ANALYZING THE RECTANGULAR ISOTROPIC PLATE'S VIBRATION BEHAVIOR

Author(s)

KARGAR NOVIN M.H. | KARBASCHI KASRA | HASANZADEH HASAN | Issue Writer Certificate

Keywords

NATURAL FREQUENCYQ2

RESONANCEQ3

ERROR ORDERQ3

ISOTROPIC PLATEQ3

FINITE DIFFERENCEQ2

NODEQ3

CALCULATION MOLECULESQ3

Abstract

Now a days, structures with planar geometry such as Sheet metals, have attracted special consideration among advanced techno logia, and hence investing vibration behavior of sheet metal is of prim important. In particular regarding dynamical investigations, if the natural frequencies get ignored, the RESONANCE phenomena can exert noun computing damages to the structure and systems. In this research for investigating the plates' vibration behavior, FINITE DIFFERENCE method with ERROR ORDERs of O(h2) and O(h4) is implemented. t first, the classical and analytical solutions are reviewed and then relevant equations, needed for numerical analysis, are extracted for those mentioned ERROR ORDERs. Finally the obtained natural frequencies for both modes are compared non-dimensionally. In this research, FINITE DIFFERENCE method using ERROR ORDER O(h4), is being applied for the first time, however the reults of various references and simulation with ANSYS software are used to verify the outcome and accuracy of the proposed method.

Cites

MODAL AND AEROELASTIC ANALYSIS OF A HIGH-ASPECT-RATIO WING WITH LARGE DEFLECTION CAPABILITY

References

تحلیل عددی رفتار ارتعاشی ورق های با لبه های غیرخطی تحت شرایط مختلف مرزی (همایش)

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APA: Copy

KARGAR NOVIN, M.H., KARBASCHI, KASRA, & HASANZADEH, HASAN. (2008). NUMERICAL STUDY OF INCREASING ERROR ORDER IN FINITE DIFFERENCE METHOD USED FOR ANALYZING THE RECTANGULAR ISOTROPIC PLATE'S VIBRATION BEHAVIOR. INTERNATIONAL JOURNAL OF ADVANCED DESIGN AND MANUFACTURING TECHNOLOGY, 1(3 (3)), 9-17. SID. https://sid.ir/paper/172344/en

Vancouver: Copy

KARGAR NOVIN M.H., KARBASCHI KASRA, HASANZADEH HASAN. NUMERICAL STUDY OF INCREASING ERROR ORDER IN FINITE DIFFERENCE METHOD USED FOR ANALYZING THE RECTANGULAR ISOTROPIC PLATE'S VIBRATION BEHAVIOR. INTERNATIONAL JOURNAL OF ADVANCED DESIGN AND MANUFACTURING TECHNOLOGY[Internet]. 2008;1(3 (3)):9-17. Available from: https://sid.ir/paper/172344/en

IEEE: Copy

M.H. KARGAR NOVIN, KASRA KARBASCHI, and HASAN HASANZADEH, “NUMERICAL STUDY OF INCREASING ERROR ORDER IN FINITE DIFFERENCE METHOD USED FOR ANALYZING THE RECTANGULAR ISOTROPIC PLATE'S VIBRATION BEHAVIOR,” INTERNATIONAL JOURNAL OF ADVANCED DESIGN AND MANUFACTURING TECHNOLOGY, vol. 1, no. 3 (3), pp. 9–17, 2008, [Online]. Available: https://sid.ir/paper/172344/en

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