Establishment of Mathematical Model of Buried Pipeline on Nonlinear Soil Dynamic Model

Ting Yue Hao

doi:10.4028/www.scientific.net/AMR.452-453.334

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 452-453Establishment of Mathematical Model of Buried...

Establishment of Mathematical Model of Buried Pipeline on Nonlinear Soil Dynamic Model

Abstract:

The pipe model is simplified as elastic foundation beam model of Euler-Bernoulli in the paper, the supported form of pin rocker bearing in the analysis of transverse vibration. Kelvin viscoelastic foundation model is adopted and the dynamic model of soil spring is regarded as nonlinearity. Applying the principle of Hamilton, the differential equation of vibration is deduced. By utilization of the first three-order modal and the orthogoality of main vibration mode, the equations are discreted and transformed into state formulas. The critical flow velocity is obtained using the Matlab software in a typical numerical example.

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Periodical:

Advanced Materials Research (Volumes 452-453)

Pages:

334-338

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.452-453.334

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Online since:

January 2012

Authors:

Ting Yue Hao

Keywords:

Buried Pipeline, Critical Flow Velocity, Mathematical Models, Nonlinearity

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