Abstract
In this paper, the static buckling and post buckling dynamic characteristics of functionally graded pipeline with geometric imperfections on Pasternak foundation are studied. The functional gradient material is modeled based on the modified power law distribution, and the pores generated in the material during manufacturing are described based on the Voigt model. Based on the Euler-Bernoulli beam theory, considering Pasternak foundation and von-Kaman nonlinearity, the control equation is derived by using Hamilton principle. The closed solution of nonlinear stability is given. The effects of maximum defect amplitude, porosity, power law index and Pasternak foundation on the static buckling and vibration characteristics near the first-order buckling configuration are discussed. The numerical results show that the maximum defect amplitude and Pasternak foundation have significant effects on the critical buckling load, post-buckling structure and natural frequency of the pipeline.
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