2015
DOI: 10.1016/j.apor.2014.12.001
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Modal response of free spanning pipelines based on dimensional analysis

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Cited by 18 publications
(13 citation statements)
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“…For an effective axial force equal to zero, Eq. (39) is fulfilled for the second mode when βE1.2 (Sollund et al, 2015). As a result, it makes little sense to evaluate higher order modal stresses for βo1.2, as the frequency of all higher order modes will be the same, and the VIV problem is reduced, more or less, to an onset problem.…”
Section: Dynamic Response Of An Axially Loaded Beam On An Elastic Foumentioning
confidence: 95%
See 1 more Smart Citation
“…For an effective axial force equal to zero, Eq. (39) is fulfilled for the second mode when βE1.2 (Sollund et al, 2015). As a result, it makes little sense to evaluate higher order modal stresses for βo1.2, as the frequency of all higher order modes will be the same, and the VIV problem is reduced, more or less, to an onset problem.…”
Section: Dynamic Response Of An Axially Loaded Beam On An Elastic Foumentioning
confidence: 95%
“…(9) and (14), closed analytical expressions for the modal frequency and associated modal stress may be determined if the surfaces G f and G κ can be determined. A transcendental equation for obtaining the exact frequency and mode shape for an axially loaded free spanning pipeline was recently derived by Sollund et al (2015). However, in the present context a semianalytical solution (Vedeld et al, 2013) to the free span problem with the same level of accuracy as finite element (FE) solutions will be preferred for calculation of frequencies and modal stresses.…”
Section: Expressions For the Response Surfaces G F And G κmentioning
confidence: 97%
“…For any straked segments, the excitation and added mass functions available in [19] are used. Mode Shape ϕ = ϕ(x) Determined from analytical solution for a single span from [17,18] with N/(k EI) 1/2 = -0.01508 and L (k/EI) 1/4 = 27.47. Plotted in Figure 8.…”
Section: Cross-flow Excitation Function By Inversion Of F10response Functionmentioning
confidence: 99%
“…With the above properties, in-line natural frequencies of 0.95 and 5.37 Hz are calculated, for the first and third mode respectively, using the in-line analytical solution in [11], [12]. (The 2 nd mode is antisymmetric and not expected to be excited by pulling and releasing at midspan.…”
Section: Spanmentioning
confidence: 99%