Analyzing Free Vibration of a Cantilever Microbeam Submerged in Fluid with Free Boundary Approach
Publish place: Journal of Applied Fluid Mechanics، Vol: 10، Issue: 6
Publish Year: 1396
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JAFM-10-6_010
تاریخ نمایه سازی: 27 دی 1400
Abstract:
This paper aims to present a detailed analysis of the free vibration of a cantilever microbeam submerged in an incompressible and frictionless fluid cavity with free boundary condition approach. In other words, in addition to the kinematic compatibility on the boundary between microbeam and its surrounding fluid, equations of the potential functions are modeled assuming the free boundaries. Galerkin’s method is used for simulations. The results of the proposed model are validated by comparing with the early analytical and numerical studies of pertinent literature. Finally, it is inferred that by involving the free boundary conditions, which is closer to the physical reality, the natural frequencies of the system have instability, especially in higher modes. In addition, the values obtained for natural frequencies are smaller than what were calculated by fixed bounary approach.
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Authors
K. Ivaz
University of Tabriz, Tabriz, East Azarbayjan, Iran
D. Abdollahi
University of Tabriz, Tabriz, East Azarbayjan, Iran
R. Shabani
Urmia University, Urmia, West Azarbayjan, Iran