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Supercritical Nonlinear Vibration of a Fluid-Conveying Pipe Subjected to a Strong External Excitation
المؤلفون المشاركون
Chen, Liqun
Zhang, Yan-Lei
Feng, Hui-Rong
المصدر
العدد
المجلد 2016، العدد 2016 (31 ديسمبر/كانون الأول 2016)، ص ص. 1-21، 21ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2015-12-24
دولة النشر
مصر
عدد الصفحات
21
التخصصات الرئيسية
الملخص EN
Nonlinear vibration of a fluid-conveying pipe subjected to a transverse external harmonic excitation is investigated in the case with two-to-one internal resonance.
The excitation amplitude is in the same magnitude of the transverse displacement.
The fluid in the pipes flows in the speed larger than the critical speed so that the straight configuration becomes an unstable equilibrium and two curved configurations bifurcate as stable equilibriums.
The motion measured from each of curved equilibrium configurations is governed by a nonlinear integro-partial-differential equation with variable coefficients.
The Galerkin method is employed to discretize the governing equation into a gyroscopic system consisting of a set of coupled nonlinear ordinary differential equations.
The method of multiple scales is applied to analyze approximately the gyroscopic system.
A set of first-order ordinary differential equations governing the modulations of the amplitude and the phase are derived via the method.
In the supercritical regime, the subharmonic, superharmonic, and combination resonances are examined in the presence of the 2 : 1 internal resonance.
The steady-state responses and their stabilities are determined.
The various jump phenomena in the amplitude-frequency response curves are demonstrated.
The effects of the viscosity, the excitation amplitude, the nonlinearity, and the flow speed are observed.
The analytical results are supported by the numerical integration.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Zhang, Yan-Lei& Feng, Hui-Rong& Chen, Liqun. 2015. Supercritical Nonlinear Vibration of a Fluid-Conveying Pipe Subjected to a Strong External Excitation. Shock and Vibration،Vol. 2016, no. 2016, pp.1-21.
https://search.emarefa.net/detail/BIM-1119064
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Zhang, Yan-Lei…[et al.]. Supercritical Nonlinear Vibration of a Fluid-Conveying Pipe Subjected to a Strong External Excitation. Shock and Vibration No. 2016 (2016), pp.1-21.
https://search.emarefa.net/detail/BIM-1119064
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Zhang, Yan-Lei& Feng, Hui-Rong& Chen, Liqun. Supercritical Nonlinear Vibration of a Fluid-Conveying Pipe Subjected to a Strong External Excitation. Shock and Vibration. 2015. Vol. 2016, no. 2016, pp.1-21.
https://search.emarefa.net/detail/BIM-1119064
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1119064
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