RITZ METHOD APPLICATION TO BENDING, BUCKLING AND VIBRATIONANALYSES OF TIMOSHENKO BEAMS VIA NONLOCAL ELASTICITY

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GHANNADPOUR S. AMIR MAHDI

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Journal Paper

Paper Information

Journal: JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS Year:2018 | Volume:4 | Issue:1 Page(s): 16-26

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Title

RITZ METHOD APPLICATION TO BENDING, BUCKLING AND VIBRATIONANALYSES OF TIMOSHENKO BEAMS VIA NONLOCAL ELASTICITY

Author(s)

GHANNADPOUR S. AMIR MAHDI | Issue Writer Certificate

Keywords

RITZ METHOD

WEAK FORM

BENDING

BUCKLING

VIBRATION

NONLOCAL TIMOSHENKO BEAM

Abstract

Bending, BUCKLING and VIBRATION behaviors of NONLOCAL TIMOSHENKO BEAMs are investigated in thisresearch using a variational approach. At first, the governing equations of the NONLOCAL TIMOSHENKO BEAMs areobtained, and then the WEAK FORM of these equations is outlined in this paper. The Ritz technique is selected toinvestigate the behavior of nonlocal beams with arbitrary boundary conditions along them. To find the equilibriumequations of BENDING, BUCKLING, and VIBRATION of these structures, an analytical procedure is followed. In order toverify the proposed formulation, the results for the NONLOCAL TIMOSHENKO BEAMs with four classical boundaryconditions are computed and compared wherever possible. Since the Ritz technique can efficiently model the nanosizedstructures with arbitrary boundary conditions, two types of beams with general boundary conditions areselected, and new results are obtained.

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APA: Copy

GHANNADPOUR, S. AMIR MAHDI. (2018). RITZ METHOD APPLICATION TO BENDING, BUCKLING AND VIBRATIONANALYSES OF TIMOSHENKO BEAMS VIA NONLOCAL ELASTICITY. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 4(1), 16-26. SID. https://sid.ir/paper/353124/en

Vancouver: Copy

GHANNADPOUR S. AMIR MAHDI. RITZ METHOD APPLICATION TO BENDING, BUCKLING AND VIBRATIONANALYSES OF TIMOSHENKO BEAMS VIA NONLOCAL ELASTICITY. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS[Internet]. 2018;4(1):16-26. Available from: https://sid.ir/paper/353124/en

IEEE: Copy

S. AMIR MAHDI GHANNADPOUR, “RITZ METHOD APPLICATION TO BENDING, BUCKLING AND VIBRATIONANALYSES OF TIMOSHENKO BEAMS VIA NONLOCAL ELASTICITY,” JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, vol. 4, no. 1, pp. 16–26, 2018, [Online]. Available: https://sid.ir/paper/353124/en

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