Calculation of In-Line Vortex Induced Vibrations of Free Spanning Pipelines

2007 ◽  
Author(s):  
Carl M. Larsen ◽  
Rune Yttervik ◽  
Kristoffer Aronsen
Keyword(s):  
Cross Flow ◽  
Added Mass ◽  
Response Analysis ◽  
Hydrodynamic Coefficients ◽  
Response Model ◽  
Analysis Method ◽  
Vortex Induced Vibrations ◽  
Long Time ◽  
General Response

Pure in-line (IL) vibrations will in many cases contribute significantly to fatigue damage for free spanning pipelines. This might be the case even if IL amplitudes are smaller than cross-flow (CF). While CF response has been subjected to research for a long time, little attention has so far been given to the pure IL VIV case. The hydrodynamic coefficients needed for response calculation have in fact not been available until recently, but results from forced IL oscillations have improved this situation. Data for added mass and force in IL direction has been used to establish a general response model along the same lines as for traditional CF response analysis. This has made it possible to calculate stresses from IL VIV in free spanning pipelines, and include the influence from interaction with the seafloor at the span shoulders. A brief presentation of the analysis method is given, but the main part of the paper gives results from a case study that illustrates important effects and the significance of IL response as compared to CF.

Reynolds Number Effects on Hydrodynamic Coefficients for Pure In-Line and Pure Cross-Flow Forced Vortex Induced Vibrations

2009 ◽  
Author(s):  
Jamison L. Szwalek ◽  
Carl M. Larsen
Keyword(s):  
Reynolds Number ◽  
Prediction Models ◽  
Current Knowledge ◽  
Cross Flow ◽  
Reynolds Numbers ◽  
Added Mass ◽  
Hydrodynamic Coefficients ◽  
Vortex Induced Vibrations ◽  
Reynolds Number Effects ◽  
Sinusoidal Oscillations

In-line vibrations have been noted to have an important contribution to the fatigue of free spanning pipelines. Still, in-line contributions are not usually accounted for in current VIV prediction models. The present study seeks to broaden the current knowledge regarding in-line vibrations by expanding the work of Aronsen (2007) to include possible Reynolds number effects on pure in-line forced, sinusoidal oscillations for four Reynolds numbers ranging from 9,000 to 36,200. Similar tests were performed for pure cross-flow forced motion as well, mostly to confirm findings from previous research. When experimental uncertainties are accounted for, there appears to be little dependence on Reynolds number for all three hydrodynamic coefficients considered: the force in phase with velocity, the force in phase with acceleration, and the mean drag coefficient. However, trends can still be observed for the in-line added mass in the first instability region and for the transition between the two instability regions for in-line oscillations, and also between the low and high cross-flow added mass regimes. For Re = 9,000, the hydrodynamic coefficients do not appear to be stable and can be regarded as highly Reynolds number dependent.

Response of Pipelines Under VIV: An Experimental Investigation

2010 ◽  
Author(s):  
Prashant K. Soni ◽  
Carl M. Larsen
Keyword(s):  
Response Pattern ◽  
Dynamic Properties ◽  
Cross Flow ◽  
Flexible Beam ◽  
Hydrodynamic Coefficients ◽  
Response Model ◽  
Flexible Pipe ◽  
Damping Force ◽  
Robust Response ◽  
A Current

Pipelines laid on an uneven bottom often have free spans. For cases with long spans, one may have several modes and eigenfrequencies that can be excited by vortex shedding. Furthermore, due to the sag effect of a long free-span, the dynamic properties are different in vertical and in horizontal directions. This causes a complex response pattern in the cross-flow (CF) and in-line (IL) directions. From previous research we know that pure IL response at relatively low current velocities may significantly contribute to fatigue damage. This response type must be studied in addition to the combined IL and CF response. The objective of this paper is to present experimental results from flexible beam experiments where both response types are studied, as well as to present results from an empirical response model for the same cases. The empirical model is based on two types of experiments. The first set of experiments were conducted with a flexible pipe for both single and double span configuration. Pure IL and combined IL and CF motions were observed. In the second set of experiments, forces on a rigid cylinder were measured under forced motions in a current. The motions were found from measurements of cross section in the flexible pipe tests. Hydrodynamic coefficients such as drag, added mass, excitation and damping force coefficients were found and then applied in the empirical response model. In the present paper the results from the flexible beam experiments are presented and also compared with the results from the empirical response model. The results so far are encouraging, but further work and more data are needed in order to have a general and robust response model for combined CF and IL VIV.

Forced Vibration Tests for In-Line Vortex-Induced Vibration to Assess Partially Strake-Covered Pipeline Spans

2020 ◽  
Vol 143 (3) ◽  
Author(s):  
Jie Wu ◽  
Decao Yin ◽  
Elizabeth Passano ◽  
Halvor Lie ◽  
Ralf Peek ◽  
...  
Keyword(s):  
Forced Vibration ◽  
Hydrodynamic Force ◽  
Cross Flow ◽  
Added Mass ◽  
Vortex Induced Vibrations ◽  
Helical Strakes ◽  
Vibration Tests ◽  
Flow Vortex ◽  
Hydrodynamic Data ◽  
Mass Functions

Abstract Helical strakes can suppress vortex-induced vibrations (VIVs) in pipelines spans and risers. Pure in-line (IL) VIV is more of a concern for pipelines than for risers. To make it possible to assess the effectiveness of partial strake coverage for this case, an important gap in the hydrodynamic data for strakes is filled by the reported IL forced-vibration tests. Therein, a strake-covered rigid cylinder undergoes harmonic purely IL motion while subject to a uniform “flow” created by towing the test rig along SINTEF Ocean's towing tank. These tests cover a range of frequencies, and amplitudes of the harmonic motion to generate added-mass and excitation functions are derived from the in-phase and 90 deg out-of-phase components of the hydrodynamic force on the pipe, respectively. Using these excitation- and added-mass functions in VIVANA together with those from experiments on bare pipe by Aronsen (2007 “An Experimental Investigation of In-Line and Combined In-Line and Cross-Flow Vortex Induced Vibrations,” Ph.D. thesis, Norwegian University of Science and Technology, Trondheim, Norway.), the IL VIV response of partially strake-covered pipeline spans is calculated. It is found that as little as 10% strake coverage at the optimal location effectively suppresses pure IL VIV.

Improved In-Line Vortex-Induced Vibrations Prediction for Combined In-Line and Cross-Flow Vortex-Induced Vibrations Responses

2017 ◽  
Vol 140 (3) ◽  
Author(s):  
Decao Yin ◽  
Elizabeth Passano ◽  
Carl M. Larsen
Keyword(s):  
Cross Flow ◽  
Hydrodynamic Coefficients ◽  
Marine Structures ◽  
Flexible Pipe ◽  
Flexible Beams ◽  
Forced Motion ◽  
Pipe Model ◽  
Vortex Induced Vibrations ◽  
Flow Vortex ◽  
Semi Empirical

Slender marine structures are subjected to ocean currents, which can cause vortex-induced vibrations (VIV). Accumulated damage due to VIV can shorten the fatigue life of marine structures, so it needs to be considered in the design and operation phase. Semi-empirical VIV prediction tools are based on hydrodynamic coefficients. The hydrodynamic coefficients can either be calculated from experiments on flexible beams by using inverse analysis or theoretical methods, or obtained from forced motion experiments on a circular cylinder. Most of the forced motion experiments apply harmonic motions in either in-line (IL) or crossflow (CF) direction. Combined IL and CF forced motion experiments are also reported. However, measured motions from flexible pipe VIV tests contain higher order harmonic components, which have not yet been extensively studied. This paper presents results from conventional forced motion VIV experiments, but using measured motions taken from a flexible pipe undergoing VIV. The IL excitation coefficients were used by semi-empirical VIV prediction software vivana to perform combined IL and CF VIV calculation. The key IL results are compared with Norwegian Deepwater Programme (NDP) flexible pipe model test results. By using present IL excitation coefficients, the prediction of IL responses for combined IL and CF VIV responses is improved.

Importance of Added Mass for the Interaction Between IL and CF Vibrations of Free Spanning Pipelines

2011 ◽  
Author(s):  
Ida M. Aglen ◽  
Carl M. Larsen
Keyword(s):  
Cross Sections ◽  
Amplitude Ratio ◽  
Large Diameter ◽  
Cross Flow ◽  
Added Mass ◽  
Flexible Beam ◽  
Hydrodynamic Coefficients ◽  
Cross Sectional ◽  
Mass Coefficient ◽  
The Stability

The importance of cross-flow (CF) response generated by vortex induced vibrations (VIV) of free spanning pipelines has long been recognised. The significance of in-line (IL) vibrations has recently been understood and hence also been subjected to research. The combined effect of CF and IL vibrations is, however, still not fully described. This paper highlights the CF-IL interaction with focus on the transition zone from pure IL to CF dominated response, giving special attention to how the added mass influences the interaction. Results from extensive flexible beam tests connected to the Ormen Lange (OL) development have been used as a basis for this study. Trajectories for cross sectional motions from the flexible beam test were identified, and then used as forced motions of a large diameter rigid cylinder exposed to uniform flow. Non-dimensional parameters like Reynolds number (Re), amplitude ratio and reduced frequency were identical for the two tests. Hence, forces found from the forced motion test could be used to find hydrodynamic coefficients valid for the flexible beam case. This paper discusses the results from the flexible beam tests with a relatively short length to diameter ratio (L/D) of 145. Modal analyses by Nielsen et al. (2002) show that the first mode dominates in both directions for these particular tests, even though the IL response frequency is twice the CF frequency. In this paper the added mass variations along the OL flexible beam is studied. Forces acting on 4 different cross sections along the beam are measured for 7 different prototype velocities. For each test the hydrodynamic coefficients are calculated, and the results show how the added mass changes along the beam for increasing velocities, and thereby creates resonance for both IL and CF response. The stability of the added mass coefficient throughout the time series is also evaluated.

scholarly journals DIGITAL ACCOUNTS AFTER DEATH: A CASE STUDY IN IRAN LAW

2020 ◽  
Vol 11 ◽  
pp. 153-182
Author(s):  
Abbas Mirshekari ◽  
Ramin Ghasemi ◽  
Alireza Fattahi
Keyword(s):  
Digital Information ◽  
Legal Systems ◽  
Analysis Method ◽  
The Public ◽  
Content Analysis Method ◽  
The World ◽  
Long Time ◽  
The Subject ◽  
The One

In recent times, cyberspace is being widely used so that everyone has a digital account. It naturally entails its own legal issues. Undoubtedly, one of the main issues is that what fate awaits the account and its content upon the account holder’s death? This issue has been neglected not only by the primary creators of digital accounts but also by many legal systems in the world, including Iran. To answer this question, we first need to distinguish between the account and the information contained therein. The account belongs to the company that creates it and allows the user to use it only. Hence, following the death of the account holder, the account will be lost but the information will remain because it was created by him/her and thus belongs to him/her. However, does this mean that the information will be inherited by the user’s heirs after his/her death? Can the user exercise his/her right to transfer account content to a devisee through a testament? Comparing digital information with corporeal property, some commentators believe that the property will be inherited like corporeal property. This is a wrong deduction because the corporeal property can disclose the privacy of the owner and third parties less than the one in cyberspace. This paper aims to show what happens to a digital account after its user passes away and examine the subject using the content analysis method in various legal systems in the world, especially in Iran as a case study. The required information is collected from law books, articles, doctrines, case laws, and relevant laws and regulations of different countries. To protect the privacy interests of the deceased and others, it is concluded that the financially valuable information published by the account holder before his/her death can be transferred to successors. As a rule, the information that may violate privacy by divulging should be removed. However, given that this information may be a valuable source in the future to know about the present, legislators are suggested to make digital information, which may no longer lead to the invasion of the decedent’s privacy, available to the public after a long time.

A Response Model for Vortex Induced Vibrations in Low KC Number Flows

2016 ◽  
Author(s):  
Knut Vedeld ◽  
Håvar Sollund ◽  
Olav Fyrileiv ◽  
Arne Nestegård
Keyword(s):  
Empirical Test ◽  
Cross Flow ◽  
Forced Response ◽  
Wave Frequency ◽  
Solid Base ◽  
Response Model ◽  
Irregular Wave ◽  
Time To Build ◽  
Vortex Induced Vibrations ◽  
Current Flows

Vortex induced vibrations (VIV) are generally less critical in wave dominated flow conditions than in pure current flows. A steady state response needs time to build up and continuous variation in flow velocity generally reduces the vibration amplitudes. For low Keulegan-Carpenter (KC) flows in-line VIV is generally removed entirely, replaced by forced response at the wave frequency, while cross-flow vibration amplitudes are reduced. For large KC numbers, the wave induced flow behaves similarly to a current and the oscillatory nature of the flow no longer influences the VIV response as much. Empirical models to predict the influence of waves in VIV design of offshore cylindrical structures are formulated in offshore design codes. For most flow regimes the models are sound and supported by a solid base of empirical test data. There are, however, exceptions — particularly for the low KC number regime, defined here as LKCR. For such flows the oscillating pressure differentials which cause vortex induced vibrations are no longer governed by traditional dimensionless parameters such as the reduced velocity, but instead the oscillating lift is governed by the ratio between the eigen-frequency of the structure and the wave frequency. Particularly, the frequency of the lift force is twice the wave frequency in regular waves. In irregular wave conditions there are necessarily also spectral peaks at both the actual wave frequency and at three times the wave frequency, but the governing spectral density is concentrated at two times the wave frequency. The present study introduces a novel response model to conservatively assess cross-flow VIV in LKCR.

Characterization of Variable Hydrodynamic Coefficients and Maximum Responses in Two-Dimensional Vortex-Induced Vibrations With Dual Resonances

2014 ◽  
Vol 136 (5) ◽  
Author(s):  
Hossein Zanganeh ◽  
Narakorn Srinil
Keyword(s):  
Cross Flow ◽  
Numerical Approach ◽  
Mass Force ◽  
Hydrodynamic Coefficients ◽  
Two Dimensional ◽  
Numerical Predictions ◽  
Vortex Induced Vibrations ◽  
Van Der Pol Oscillators ◽  
Force Components ◽  
Oscillation Frequencies

A phenomenological model and analytical–numerical approach to systematically characterize variable hydrodynamic coefficients and maximum achievable responses in two-dimensional vortex-induced vibrations with dual two-to-one resonances are presented. The model is based on double Duffing and van der Pol oscillators which simulate a flexibly mounted circular cylinder subjected to uniform flow and oscillating in simultaneous cross-flow/in-line directions. Depending on system quadratic and cubic nonlinearities, amplitudes, oscillation frequencies and phase relationships, analytical closed-form expressions are derived to parametrically evaluate key hydrodynamic coefficients governing the fluid excitation, inertia and added mass force components, as well as maximum dual-resonant responses. The amplification of the mean drag is ascertained. Qualitative validations of numerical predictions with experimental comparisons are discussed. Parametric investigations are performed to highlight the important effects of system nonlinearities, mass, damping, and natural frequency ratios.

Hydrodynamic Coefficients of a Flexible Pipe With Staggered Buoyancy Elements and Strakes Under VIV Conditions

2017 ◽  
Author(s):  
Shixiao Fu ◽  
Halvor Lie ◽  
Jie Wu ◽  
Rolf Baarholm
Keyword(s):  
Inverse Analysis ◽  
Natural Frequencies ◽  
Forced Oscillation ◽  
Hydrodynamic Force ◽  
Added Mass ◽  
Ocean Basin ◽  
Hydrodynamic Coefficients ◽  
Analysis Method ◽  
Flexible Pipe ◽  
Inverse Analysis Method

A 38m long flexible pipe with staggered buoyancy modules and strakes has been tested in the ocean basin of SINTEF Ocean (former Marintek) for VIV investigation of a lazy wave riser. In this paper the inverse analysis method was presented and applied into the investigation of the hydrodynamic force coefficients along this tested flexible pipe with the measured responses as inputs. The feasibility of the inverse analysis method is firstly validated by numerical simulations. The distributions of the added mass and excitation coefficients along the flexible pipe with staggered buoyancy modules and strakes are then investigated. The identified coefficients are validated by check of the natural frequencies and responses of the model, and are finally compared against those from the forced oscillation tests.

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