Dynamic Stability of Fluid Conveying Cantilevered Pipes on Elastic Foundations

Djondjorov, Peter A.; Vassilev, Vassil M.; Dzhupanov, V.A.

doi:10.1006/jsvi.2001.3619

Cited by 28 publications

(7 citation statements)

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“…In the first step, three different probable types of variable elastic foundations is considered, namely strengthening, Winkler and weakening ones, and their effect on stabilization of the system is investigated. The foundation modulus distribution in its non-dimensional form is defined as [70]:…”

Section: Variable Elastic Foundationmentioning

confidence: 99%

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On the dynamics of micro-tubes conveying fluid on various foundations

2019

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In this paper, using modified couple stress theory, dynamic stability of a cantilevered micro-tube embedded in several types of elastic media is studied. The governing equation for lateral vibrations of the micro-tube conveying fluid is derived using the extended Hamilton's principle. The numerical results are obtained by employing the extended Galerkin's method. For validation purposes, the obtained results for simple cases are compared and findings indicate a very good agreement with those available in the literature. The stability maps of different configurations with different flow velocities are studied and the influences of various parameters such as material length scale, external diameter and different elastic properties on the stability of the system are considered. Results indicate that elastic environments may enlarge the stability regions significantly at larger values of mass ratio parameter while decrease it for smaller values of mass ratio parameter. Moreover, using elastic media mathematically defined by series functions provides the capability to simulate almost any real time operational environment the micro-tube embedded in and results in an optimal stability state of the micro-structure carrying fluid flow.

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Section: Variable Elastic Foundationmentioning

confidence: 99%

“…In this section, the stability maps are acquired for a cantilevered micro-tube lying on symmetric and non-symmetric elastic media. The foundation modulus distribution in its non-dimensional form is defined as [70]:…”

Section: No Foundationmentioning

confidence: 99%

On the dynamics of micro-tubes conveying fluid on various foundations

2019

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“…They have found that such foundations could either destabilize or stabilize the pipe depending on the position and length of the foundations. Djondjorov, Vassilev and Dzhupanov, [2001], , have examined cantilevered pipes on Winkler foundations whose modulus is a certain sixth-, second-or first-order polynomial. They have concluded that all such foundations stabilize the pipe.…”

Section: Introductionmentioning

confidence: 99%

W1finite Element Analysis of Pipes Conveying Fluid Mounted on Viscoelastic Foundations

Mostafa

2019

IQJMME

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In this study, the stability of a simply supported pipeline conveying fluid with different velocities and resting on viscoelastic foundation is investigated by using finite element analysis, and the critical fluid velocity with different parameters such as stiffness and viscous coefficients of foundation are obtained. This structural system could be found in pipes conveying petrol, water, and sewage. The foundation is simulated using the modified Winkler's model to introduce the effect of time dependent viscosity term. Some known results are confirmed and some new ones obtained. Two components of foundation, stiffness and viscosity, seemed to act on the critical flow velocity of the pipe in contrary trend. Where, increasing the foundation stiffness tended to increase the critical flow velocity in the pipe. While, increasing foundation viscosity attempted to decrease it. At some ranges of pipe length, the foundation viscosity effect seems to be more extreme. Increasing the fluid velocity leads to monotonic reduction in the system damping ratio. Two parameters, pipe length and fluid density which relate to the natural frequency of pipeline conveying fluid are studied in detail and the results indicate that the effect of Coriolis force on natural frequency is become more effective by increasing pipe length and fluid density besides increasing fluid flow velocity.

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“…Ошибка базовой модели, не учитывающей наличие упругого основания, имеет научное объяснение. Отклонение значений частот зафиксировано в трудах [14,15]. Численный расчет доказывает, что основание под трубой увеличивает частоты ее свободных колебаний, что можно наблюдать на всех приведенных графиках в данной работе (существенное снижение амплитуды частот свыше 1,5 кГц).…”

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