Nonlinear Dynamic Behavior of Hyperbolic Paraboloidal Shells Reinforced by Carbon Nanotubes with Various Distributions
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JACM-7-2_047
تاریخ نمایه سازی: 9 خرداد 1400
Abstract:
The analytical solution of the nonlinear dynamic behavior of CNT-based hyperbolic paraboloidal shallow shells (HYPARSSs) with various distribution shapes is presented. A theoretical model was created for HYPARSSs reinforced with CNTs using the von Kármán -type nonlinearity. Then the nonlinear basic equations are reduced to ordinary nonlinear differential equations using Galerkin methods and the correlation for frequency-amplitude relationship is obtained using the Grigolyuk method. In addition, the nonlinear frequency/linear frequency (NL/L) ratio is determined as a function of amplitude. Comparisons with reliable results in the literature were made to test the accuracy of the formulas. Finally, a systematic investigate is performed to control the influences of CNTs in the matrix, CNT distribution types and nonlinearity on the vibration frequency-amplitude relationship.
Keywords:
Nonlinear dynamics , CNTs , hyperbolic paraboloidal shallow shells , Amplitude-frequency relationship
Authors
Elcin Yusufoglu
Department of Mathematics, Faculty of Arts and Sciences, Usak University, ۶۴۲۰۰ Usak, Turkey
Mahmure AVEY
Division of Mathematics, Graduate School of Natural and Applied Sciences, Usak University, ۶۴۲۰۰ Usak, Turkey
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