BUCKLING AND VIBRATION ANALYSIS OF TAPERED CIRCULAR NANO PLATE

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ZAREI MEHDI; FAGHANI GHOLAMREZA; GHALAMI MEHRAN; RAHIMI GHOLAM HOSSIEN

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Journal: JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS Year:2018 | Volume:4 | Issue:1 Page(s): 40-54

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Title

BUCKLING AND VIBRATION ANALYSIS OF TAPERED CIRCULAR NANO PLATE

Author(s)

ZAREI MEHDI | FAGHANI GHOLAMREZA | GHALAMI MEHRAN | RAHIMI GHOLAM HOSSIEN | Issue Writer Certificate

Keywords

NONLOCAL THEORY

AXISYMMETRIC VIBRATION ANALYSIS

VARIABLE THICKNESS PLATE

RITZ METHOD

DIFFERENTIAL TRANSFORMMETHOD

Abstract

In this paper, buckling and free vibration analysis of a circular tapered nanoplate subjected to in-planeforces were studied. The linear variation of the plate thickness was considered in radial direction. Nonlocalelasticity theory was employed to capture size-dependent effects. The Raleigh-Ritz method and differentialtransform method were utilized to obtain the frequency equations for simply supported and clamped boundaryconditions. To verify the accuracy of the RITZ METHOD, the differential transform method (DTM) was also used todrive the size-dependent natural frequencies of circular nanoplates. Both methods reported good results. Thevalidity of solutions was performed by comparing the present results with those of the literature for both classicalplate and nanoplate. The effects of nonlocal parameter, mode number, and taper parameter on the natural frequencywere investigated. The results showed that increasing the taper parameter causes increasing of buckling load andnatural frequencies, and its effects on the clamped boundary condition is more than the simply support.

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APA: Copy

ZAREI, MEHDI, FAGHANI, GHOLAMREZA, GHALAMI, MEHRAN, & RAHIMI, GHOLAM HOSSIEN. (2018). BUCKLING AND VIBRATION ANALYSIS OF TAPERED CIRCULAR NANO PLATE. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 4(1), 40-54. SID. https://sid.ir/paper/353127/en

Vancouver: Copy

ZAREI MEHDI, FAGHANI GHOLAMREZA, GHALAMI MEHRAN, RAHIMI GHOLAM HOSSIEN. BUCKLING AND VIBRATION ANALYSIS OF TAPERED CIRCULAR NANO PLATE. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS[Internet]. 2018;4(1):40-54. Available from: https://sid.ir/paper/353127/en

IEEE: Copy

MEHDI ZAREI, GHOLAMREZA FAGHANI, MEHRAN GHALAMI, and GHOLAM HOSSIEN RAHIMI, “BUCKLING AND VIBRATION ANALYSIS OF TAPERED CIRCULAR NANO PLATE,” JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, vol. 4, no. 1, pp. 40–54, 2018, [Online]. Available: https://sid.ir/paper/353127/en

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