A New Matrix Method for Solving Vibration and Stability of Curved Pipes Conveying Fluid

Yu, Huang; Zeng, Guowei; Wei, Fulong

doi:10.1006/jsvi.2001.3983

Cited by 19 publications

(11 citation statements)

References 4 publications

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“…}jg displacement, slope, bending moment, and shear force are ond, and third derivatives with respect to x at x = 0, (pi (x), cp2 (x), given by cpj, (x), (p4 (x) are solutions of Eq. (3), thus, satisfying the following conditions [26,27]; …”

Section: {A} = [R]{ao}mentioning

confidence: 98%

“…According to the "initial parameter method" [26,27], a solution in which the elements of \R\ are [26,27] of Eq. (3) may be written as…”

Section: {A} = [R]{ao}mentioning

confidence: 99%

“…Yet, it has only been used in dealing witb stability of curved pipes conveying fiuid [26]. Here, tbis method will be formulated for the stability of straigbt periodic pipes, based on the transfer matrix method developed by Ma et al [27], wbicb is not available in the English language.…”

Section: Introductionmentioning

confidence: 99%

“…Many methods are available in the open literature for calculating the conditions of instability of pipes conveying ñuid, for example, the so-called exact and Galerkin-type solutions [3], the finite-element method [25], and the transfer matrix method [26,27].…”

Section: Introductionmentioning

confidence: 99%

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Dynamic Stability of Periodic Pipes Conveying Fluid

Paı̈doussis

Shen

et al. 2013

Journal of Applied Mechanics

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In this paper, the stability of a periodic cantilevered pipe conveying fluid is studied theoretically by means of a novel transfer matrix method. This method is first validated by comparing the results to tiwse available in tJie literature for a uniform pipe, showing that it is capable of high accuracy and displaying good convergence characteristics. Then, the stability of periodic pipes is investigated, with geometric, material-properties periodicity, and a combination of the two, showing that a considerable stabilizing effect may be achieved over different ranges of the mass parameter ß (ß = mf/{mf -\-nip), where mf and mp are the fluid and pipe masses per unit length). The effect of other different system parameters is also probed.

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Section: {A} = [R]{ao}mentioning

confidence: 98%

“…According to the "initial parameter method" [26,27], a solution in which the elements of \R\ are [26,27] of Eq. (3) may be written as…”

Section: {A} = [R]{ao}mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dynamic Stability of Periodic Pipes Conveying Fluid

Paı̈doussis

Shen

et al. 2013

Journal of Applied Mechanics

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“…Studying fluid conveying pipe-related dynamic problems by TMM arose decades before, some related achievements include Koo and Yoo (2000) adopted the dynamic stiffness method of the wave approach to construct a transfer matrix and thereafter researched dynamic characteristics of the KALIMER IHTS hot leg piping system. Based on the initial parameter method, Huang, Zeng, and Wei (2002) established a new matrix method to calculate the critical flowing velocity of curved pipe conveying fluid. Yu, Paidoussis, Shen, and Wang (2014) then adopted the same way to study the dynamic stability of periodic straight pipe conveying fluid.…”

Section: Investigatedmentioning

confidence: 99%

Flow-induced vibration of curved pipe conveying fluid by a new transfer matrix method

Zhao

Sun

2018

Engineering Applications of Computational Fluid Mechanics

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A new transfer matrix method based on the Laplace transform is proposed to analyze the flowinduced vibration of curved pipe conveying fluid. After the comparison with the existing literature, the proposed method is verified to be of high accuracy in calculating critical flowing velocity. Three examples including cantilevered, clamped-elastically supported, and periodic cantilevered curved pipes are investigated by the proposed method, natural frequency as a function of the flowing velocity for the former two cases and critical velocity for all of them are calculated not only to obtain some discoveries never mentioned in other literatures, but also to show its broad applications. For the first time, it is pointed out that the steady combined force should be considered in an appropriate interval during the calculation of clamped-elastically supported curved pipe. The method can also be radiated to study other forms of vibration problems concerning fluid conveying pipes or other problems characterized by the chain structure.

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