Vibration Analysis of Pipe Conveying Fluid, Made of Functionally Graded Material in Thickness Direction

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Saeidiha M.; KARAMI MOHAMMADI A.

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Paper Information

Journal: JOURNAL OF SOLID AND FLUID MECHANICS Year:2020 | Volume:9 | Issue:4 Page(s): 107-116

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Title

Vibration Analysis of Pipe Conveying Fluid, Made of Functionally Graded Material in Thickness Direction

Author(s)

Saeidiha M. | KARAMI MOHAMMADI A. | Issue Writer Certificate

Keywords

Pipes Conveying FluidQ1

Functionally Graded MaterialQ1

Natural FrequenciesQ2

Critical Flow VelocityQ1

InstabilityQ2

Abstract

The Pipes Conveying Fluid are capable of displaying complex dynamical behaviors. In this paper, the dynamic behavior of a simply supported fluid-conveying pipe made of Functionally Graded Material in thickness direction, is analysed. The Young Modulus are assumed to be graded along the thickness direction according to a simple power law and equations of motion of the Euler– Bernoulli beam are derived. The partial differential equation is discretized to ordinary differential equations by the Galerkin method. The Natural Frequencies are obtained for different dimensionless parameters and compared with a homogenious pipe conveying fluid, and the effect of gradually changed material has been studied. Dimensionless critical flow velocities which couse Instability are obtained for particular mass parameter and different distribution of Young Modulus. The results show that by increasing Young Modulus from inner to outer surface of pipe, the Natural Frequencies of system increase and Instability is occurred in higher critical velocities.

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APA: Copy

Saeidiha, M., & KARAMI MOHAMMADI, A.. (2020). Vibration Analysis of Pipe Conveying Fluid, Made of Functionally Graded Material in Thickness Direction. JOURNAL OF SOLID AND FLUID MECHANICS, 9(4 ), 107-116. SID. https://sid.ir/paper/371351/en

Vancouver: Copy

Saeidiha M., KARAMI MOHAMMADI A.. Vibration Analysis of Pipe Conveying Fluid, Made of Functionally Graded Material in Thickness Direction. JOURNAL OF SOLID AND FLUID MECHANICS[Internet]. 2020;9(4 ):107-116. Available from: https://sid.ir/paper/371351/en

IEEE: Copy

M. Saeidiha, and A. KARAMI MOHAMMADI, “Vibration Analysis of Pipe Conveying Fluid, Made of Functionally Graded Material in Thickness Direction,” JOURNAL OF SOLID AND FLUID MECHANICS, vol. 9, no. 4 , pp. 107–116, 2020, [Online]. Available: https://sid.ir/paper/371351/en

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