Calculation Analysis of Natural Frequency of Pipe Conveying Fluid Resting on Pasternak Foundation

Abstract:

The complex mode method and Galerkin method are applied to analyze natural frequency of pinned-pinned Pipe conveying fluid resting on Pasternak foundation. Compared to the exact solution obtained by the complex mode method, the influence of Galerkin modal truncation to natural frequency is elaborated here, and the influence of Pasternak foundation’s shear stiffness, spring stiffness and mass parameter to truncation error are also focused on in this paper. It is concluded that, within specified flow velocity, the increasing of Pasternak foundation’s shear stiffness and spring stiffness will reduce the truncation error produced by Galerkin method, but, comparing with the former, the latter’s influence can be ignored. It is also founded that the truncation error will increase significantly with the increasing of the mass parameter.

• Periodical: Advanced Materials Research (Volume 668)
• Pages: 589-592
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.668.589
• Online since: March 2013
• Authors: Bing Chen, Ming Le Deng, Zhong Jun Yin
• Keywords: Complex Mode Method, Galerkin Method, Natural Frequency, Pasternak Foundation, Pipe Conveying Fluid

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