THERMO-MECHANICAL NONLINEAR VIBRATION ANALYSIS OF FLUIDCONVEYINGSTRUCTURES SUBJECTED TO DIFFERENT BOUNDARYCONDITIONS USING GALERKIN-NEWTON-HARMONIC BALANCINGMETHOD

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SOBAMOWO M.G.; OGUNMOLA B.Y.; OSHEKU C.A.

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Journal: JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS Year:2017 | Volume:3 | Issue:1 Page(s): 60-79

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Title

THERMO-MECHANICAL NONLINEAR VIBRATION ANALYSIS OF FLUIDCONVEYINGSTRUCTURES SUBJECTED TO DIFFERENT BOUNDARYCONDITIONS USING GALERKIN-NEWTON-HARMONIC BALANCINGMETHOD

Author(s)

SOBAMOWO M.G. | OGUNMOLA B.Y. | OSHEKU C.A. | Issue Writer Certificate

Keywords

THERMO-MECHANICAL

NON-LINEAR VIBRATION

GALERKIN’

S METHOD

NEWTON-HARMONIC BALANCINGTECHNIQUE

FLUID-CONVEYING STRUCTURE

Abstract

The development of mathematical models for describing the dynamic behaviours of fluid conveying pipes, micro-pipes and nanotubes under the influence of some thermo-mechanical parameters results intononlinear equations that are very difficult to solve analytically. In cases where the exact analytical solutionsare presented either in implicit or explicit forms, high skills and rigorous mathematical analyses wereemployed. It is noted that such solutions do not provide general exact solutions. Inevitably, comparativelysimple, flexible yet accurate and practicable solutions are required for the analyses of these structures. Therefore, in this study, approximate analytical solutions are provided to the nonlinear equations arising inflow-induced vibration of pipes, micro-pipes and nanotubes using Galerkin-Newton-Harmonic Method(GNHM). The developed approximate analytical solutions are shown to be valid for both small and largeamplitude oscillations. The accuracies and explicitness of these solutions were examined in limiting casesto establish the suitability of the method.

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APA: Copy

SOBAMOWO, M.G., OGUNMOLA, B.Y., & OSHEKU, C.A.. (2017). THERMO-MECHANICAL NONLINEAR VIBRATION ANALYSIS OF FLUIDCONVEYINGSTRUCTURES SUBJECTED TO DIFFERENT BOUNDARYCONDITIONS USING GALERKIN-NEWTON-HARMONIC BALANCINGMETHOD. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 3(1), 60-79. SID. https://sid.ir/paper/353175/en

Vancouver: Copy

SOBAMOWO M.G., OGUNMOLA B.Y., OSHEKU C.A.. THERMO-MECHANICAL NONLINEAR VIBRATION ANALYSIS OF FLUIDCONVEYINGSTRUCTURES SUBJECTED TO DIFFERENT BOUNDARYCONDITIONS USING GALERKIN-NEWTON-HARMONIC BALANCINGMETHOD. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS[Internet]. 2017;3(1):60-79. Available from: https://sid.ir/paper/353175/en

IEEE: Copy

M.G. SOBAMOWO, B.Y. OGUNMOLA, and C.A. OSHEKU, “THERMO-MECHANICAL NONLINEAR VIBRATION ANALYSIS OF FLUIDCONVEYINGSTRUCTURES SUBJECTED TO DIFFERENT BOUNDARYCONDITIONS USING GALERKIN-NEWTON-HARMONIC BALANCINGMETHOD,” JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, vol. 3, no. 1, pp. 60–79, 2017, [Online]. Available: https://sid.ir/paper/353175/en

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