Vibration analysis of pipe conveying fluid, made of functionally graded material in thickness direction

Authors

1 shahrood university of technology

2 Assoc. prof., Mech. Eng. Dept., Shahrood Univ.,Shahrood, Iran.

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

Keywords

References

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Journal of Solid and Fluid Mechanics
Volume 9, Issue 4
December 2019
Pages 107-116

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