CN105026252A - Floating unit and a method for reducing heave and pitch/roll motions of a floating unit - Google Patents

Floating unit and a method for reducing heave and pitch/roll motions of a floating unit Download PDF

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Publication number
CN105026252A
CN105026252A CN201480012879.XA CN201480012879A CN105026252A CN 105026252 A CN105026252 A CN 105026252A CN 201480012879 A CN201480012879 A CN 201480012879A CN 105026252 A CN105026252 A CN 105026252A
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flare angle
floating element
draft
section
floating
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埃里克·彼得森
芬恩-克里斯蒂安·维克曼·汉森
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Moss Maritime AS
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Moss Maritime AS
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B63SHIPS OR OTHER WATERBORNE VESSELS; RELATED EQUIPMENT
    • B63BSHIPS OR OTHER WATERBORNE VESSELS; EQUIPMENT FOR SHIPPING 
    • B63B22/00Buoys
    • B63B22/24Buoys container type, i.e. having provision for the storage of material
    • B63B22/26Buoys container type, i.e. having provision for the storage of material having means to selectively release contents, e.g. swivel couplings
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B63SHIPS OR OTHER WATERBORNE VESSELS; RELATED EQUIPMENT
    • B63BSHIPS OR OTHER WATERBORNE VESSELS; EQUIPMENT FOR SHIPPING 
    • B63B1/00Hydrodynamic or hydrostatic features of hulls or of hydrofoils
    • B63B1/02Hydrodynamic or hydrostatic features of hulls or of hydrofoils deriving lift mainly from water displacement
    • B63B1/04Hydrodynamic or hydrostatic features of hulls or of hydrofoils deriving lift mainly from water displacement with single hull
    • B63B1/041Hydrodynamic or hydrostatic features of hulls or of hydrofoils deriving lift mainly from water displacement with single hull with disk-shaped hull
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B63SHIPS OR OTHER WATERBORNE VESSELS; RELATED EQUIPMENT
    • B63BSHIPS OR OTHER WATERBORNE VESSELS; EQUIPMENT FOR SHIPPING 
    • B63B22/00Buoys
    • B63B22/24Buoys container type, i.e. having provision for the storage of material
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B63SHIPS OR OTHER WATERBORNE VESSELS; RELATED EQUIPMENT
    • B63BSHIPS OR OTHER WATERBORNE VESSELS; EQUIPMENT FOR SHIPPING 
    • B63B35/00Vessels or similar floating structures specially adapted for specific purposes and not otherwise provided for
    • B63B35/08Ice-breakers or other vessels or floating structures for operation in ice-infested waters; Ice-breakers, or other vessels or floating structures having equipment specially adapted therefor
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B63SHIPS OR OTHER WATERBORNE VESSELS; RELATED EQUIPMENT
    • B63BSHIPS OR OTHER WATERBORNE VESSELS; EQUIPMENT FOR SHIPPING 
    • B63B39/00Equipment to decrease pitch, roll, or like unwanted vessel movements; Apparatus for indicating vessel attitude
    • B63B39/10Equipment to decrease pitch, roll, or like unwanted vessel movements; Apparatus for indicating vessel attitude to decrease vessel movements by damping the waves, e.g. by pouring oil on water
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B63SHIPS OR OTHER WATERBORNE VESSELS; RELATED EQUIPMENT
    • B63BSHIPS OR OTHER WATERBORNE VESSELS; EQUIPMENT FOR SHIPPING 
    • B63B35/00Vessels or similar floating structures specially adapted for specific purposes and not otherwise provided for
    • B63B35/44Floating buildings, stores, drilling platforms, or workshops, e.g. carrying water-oil separating devices
    • B63B2035/442Spar-type semi-submersible structures, i.e. shaped as single slender, e.g. substantially cylindrical or trussed vertical bodies
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B63SHIPS OR OTHER WATERBORNE VESSELS; RELATED EQUIPMENT
    • B63BSHIPS OR OTHER WATERBORNE VESSELS; EQUIPMENT FOR SHIPPING 
    • B63B39/00Equipment to decrease pitch, roll, or like unwanted vessel movements; Apparatus for indicating vessel attitude
    • B63B39/10Equipment to decrease pitch, roll, or like unwanted vessel movements; Apparatus for indicating vessel attitude to decrease vessel movements by damping the waves, e.g. by pouring oil on water
    • B63B2039/105Equipment to decrease pitch, roll, or like unwanted vessel movements; Apparatus for indicating vessel attitude to decrease vessel movements by damping the waves, e.g. by pouring oil on water by absorption of wave energy, e.g. by structured, wave energy absorbing hull surfaces
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B63SHIPS OR OTHER WATERBORNE VESSELS; RELATED EQUIPMENT
    • B63BSHIPS OR OTHER WATERBORNE VESSELS; EQUIPMENT FOR SHIPPING 
    • B63B2211/00Applications
    • B63B2211/06Operation in ice-infested waters
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B63SHIPS OR OTHER WATERBORNE VESSELS; RELATED EQUIPMENT
    • B63BSHIPS OR OTHER WATERBORNE VESSELS; EQUIPMENT FOR SHIPPING 
    • B63B2241/00Design characteristics
    • B63B2241/02Design characterised by particular shapes
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B63SHIPS OR OTHER WATERBORNE VESSELS; RELATED EQUIPMENT
    • B63BSHIPS OR OTHER WATERBORNE VESSELS; EQUIPMENT FOR SHIPPING 
    • B63B2241/00Design characteristics
    • B63B2241/02Design characterised by particular shapes
    • B63B2241/10Design characterised by particular shapes by particular three dimensional shapes

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  • Chemical & Material Sciences (AREA)
  • Ocean & Marine Engineering (AREA)
  • Engineering & Computer Science (AREA)
  • Combustion & Propulsion (AREA)
  • Mechanical Engineering (AREA)
  • Physics & Mathematics (AREA)
  • Oil, Petroleum & Natural Gas (AREA)
  • Fluid Mechanics (AREA)
  • Earth Drilling (AREA)
  • Motorcycle And Bicycle Frame (AREA)
  • Vibration Prevention Devices (AREA)
  • Structures Of Non-Positive Displacement Pumps (AREA)
  • Barrages (AREA)

Abstract

A floating unit (10) is disclosed comprising a single centre barrel (11) having a longitudinal centre axis (22). The central barrel comprises a lower main section (14) and an upper section (12) extending up from the main section (14) and having at least one outward facing side (20) which forms a flare angle (phi) with the longitudinal axis (22). The upper section (12) penetrates a still water surface (30) when the floating unit is in use. The main section (14) of the floating structure (10) has an equivalent diameter (D), a still water draught (T) and a metacentric height (KM) which is given as a function of the diameter (D), the still water draught (T), the flare angle (phi) and a variable part (x) of the draught which is a result of the motions of the floating unit (10) such that KM = KM(D,T,phi,x). The flare angle (phi) of the upper section (12) is within a range of +-20% of the flare angle phi which satisfies the equation d(KM(D,T,phi,x))/dx = 0.

Description

Floating element and reduce the method for the heave of floating element and inclination/stir motion
The present invention relates to the motion characteristics improving monotubular floating element.
What have been noted that is that the floating element of this type can bear and excessive stirs/roll motion under some sea situation.The similar design of floating element is attempted by providing damping as much as possible to eliminate this motion for floating element.
(such as in PCT application WO 02/090177 A1 announced and in the U.S. Patent application No.2012/0298027 A1 announced) had discussed monotubular floating structure in the past.In this U.S.'s published application, disclose a kind of floating structure used in the water of ice sheet covering, this floating structure comprises monotubular housing, and this monotubular housing is designed to reduce ice loading and provide ice-breaking mechanism more more than the ship structure of routine.Floating boat is provided with the shell of the part of taper and the polygonal shape of uneven side, more effectively to open ice.Cause rolling/stirring motion, heave movement and vibratory movement by the ballast water in mobile ballast tank, thus more effectively open ice.
The object of the invention is to alleviate monotubular floating element and stir/roll motion marine.
Another object of the present invention is the damping having increased monotubular floating element, and simplifies the manufacturing process of this floating element simultaneously.
The method that the floating element limited by claim 1 and claim 7 are limited achieves these objects.Dependent claims 2 to 6 defines the further embodiment of floating element.
Strategy when developing of the present invention finds the shape by changing floating element instead of increases the method that damping reduces N/R motion.Certainly, floating structure can be provided with the device for damping extraly as much as possible.
Experience but the reason of the motion can not explained by linear theory may be the parameter couples between multi-motion component, and namely so-called horse repaiies motion (Mathieu motion).Cause the condition of this performance can by differential equation, this differential equation has solution in some scope, and it is unstable and separates and will diffuse to infinity in other scopes.
Horse is repaiied the differential equation (Mathieu differential equation) and can be written as:
Wherein, ε is the relative size of this change in rigidity (stiffness), and it is the ratio between natural frequency and rigidity frequency.The regular change of " rigidity " aspect tool shown in this equation, the frequency that this change has is different from the natural frequency of system.The relative size (ε) of this change in rigidity and the ratio between natural frequency and rigidity frequency then determine this solution.
The stable solution of equation and the region of unstable solution have been shown in Fig. 1.As shown in Figure 1, ratio cause maximum instability, but also instability can be caused with 2.The size (ε) of stiffness change also works, because the increase of stiffness change will make unstable region increase.
The present invention is a kind of floating element of cartridge type, and this floating element preferably has octagonal cross-sectional plane, but also can have other shape, such as circular.This floating element also can be provided with inner moon pool (moonpool).The feature of floating element is mean diameter (D) and draft (T).If the present invention is designed to the octagon with eight planar side plates, then diameter is defined as the inscribed circle in this octagon.If select other polygonal shape, then the inscribed circle that will correspondingly be defined as in this polygon of diameter.The viscous damping of the increase that octagonal shape results through sharp corner and obtains, and manufacture because plane steel plate is easier than curved plates, so simplify production.
For such as floating element of the present invention, the differential equation above can represent and rolls/stir motion, and the change (GM) of metacentric height that stiffness change can be caused by heave movement represents.
The frequency of heave movement by the natural period in heave, or is determined by wave excitation frequency (wave excitation frequency) simply.Such as, when having the natural period stirred of the heave Energizing cycle of 12 seconds and 24 seconds, frequency ratio will be and the possibility entered in unstable region is very high, as shown in Figure 1.If the natural period of heave and wave excitation overlap, this will make problem amplify certainly.
As mentioned above, in the past in order to avoid excessive inclination/stir motion, namely in order to avoid entering the unstable region shown in Fig. 1, floating element had been provided with damping as much as possible.
Be used for avoiding another selection entered in unstable region will be prevent frequency ratio from entering in unstable region.But consider that excitation comes from random process (wave), preventing frequency ratio from entering in hazardous location will be very difficult.
Therefore, as another alternative, contriver has considered the third possibility to avoid the possibility entered in unstable region, and the third possibility is the change GM (ε in Fig. 1) reducing rigidity as much as possible.This seems to reduce to be exposed to horse to repair most effective method in instability by being.
The invention discloses a kind of floating element, this floating element comprises the single central tube with longitudinal center's axis.Central tube comprises bottom primary section and top section, top section upwards extends from primary section and has at least one towards outer sidepiece, namely inside towards floating element is carried on the back and towards surrounding environment, flare angle (flare angle, horn flare angle) should be formed towards outer sidepiece and vertical axis when floating element uses, top section penetrates still water level.The primary section of floating structure also has equivalent diameter (equivalent diameter, equivalent diameter) (D), hydrostatic draft (T) and metacentric height (KM), according to diameter (D), hydrostatic draft (T), flare angle with the variable part of draft (result of floating element motion) (x) and provide metacentric height, make the flare angle of top section at best flare angle ± scope of 20% in, best flare angle meets equation:
Alternatively, this can be represented as the best flare angle making top section (12) the angle meeting following equations:
And wherein, top section flare angle best flare angle ± scope of 20% in.
When top section is provided with this flare angle, the parameter couples between heave and inclination/stir will be weakened.
When seeing in side view, top section can be taper, or alternatively, when seeing in side view, top section can have bending shape.
The horizontal section (longitudinal axis perpendicular to floating structure) of the cylinder of floating structure can the well-regulated polygonal shape of tool, such as, and the octagonal shape of rule.Alternatively, the horizontal section (longitudinal axis perpendicular to floating structure) of the cylinder of floating structure can be circular.
The invention also discloses the method for a kind of inclination for reducing single central tube floating element/stir motion, wherein, this floating structure comprises the single central tube with longitudinal center's axis.This central tube comprises bottom primary section and top section, and top section upwards extends from primary section and has at least one towards outer sidepiece, that is, carry on the back the inside towards floating element and towards surrounding environment, form flare angle towards outer sidepiece and vertical axis when floating element uses, top section penetrates still water level.The primary section of floating structure also has equivalent diameter (D), hydrostatic draft (T) and metacentric height (KM), according to diameter (D), hydrostatic draft (T), flare angle provide metacentric height with the variable part (being the result of the motion of floating element (10)) (x) of draft, make select the flare angle of top section (12) make this flare angle at best flare angle ± scope of 20% in, this best flare angle meet equation:
If primary section has circular cross section, then the equivalent diameter (D) above mentioned for several times equals actual diameter.If the cross-sectional plane of primary section is polygonal, then get the circle diameter of the area identical with the area of actual polygonal crosssection as equivalent diameter (D).
Non-limiting embodiment of the present invention is described further, in accompanying drawing with reference to accompanying drawing:
Fig. 1 discusses above, and the figure shows the stability diagram of Marhieu equation.
Fig. 2 shows the KM according to draft for multiple diameter D.
Fig. 3 shows the KM-function derivative according to draft (T) for multiple diameter.
Fig. 4 shows the figure of display D-T combination, and wherein, the derivative of KM equals 0.
Fig. 5 shows diagram of curves, wherein, draws for the multiple angles according to draft (T)
Fig. 6 shows the diagram of curves making metacentric height not have vicissitudinous flare angle.
Fig. 7 shows the lateral plan according to floating element of the present invention.
Fig. 8 shows the cross-sectional plane of the floating element shown in Fig. 7.
Fig. 9 shows the embodiments of the present invention under splayed condition.
Hereinafter, discussion design according to the present invention is how can enter horse to repair unstable region and how the present invention addresses this problem by we.
As mentioned above, the present invention is the design of monotubular shape, and wherein, cross-sectional plane is octagonal shape preferably, but also can be round-shaped, or is the polygonal shape of rule substantially.
Octagon-shaped or polygonal shape and Consideration involved in the present invention have nothing to do, and therefore, in mathematic(al) representation hereafter, hypothesis the present invention is had circular cross section by us, has diameter D and draft T simultaneously.Diameter can be selected thus will according to π/4*D 2and make the polygonal identical of cross-sectional area and considered actual floating element.
Therefore, the circular cylinder comprising the primary section with constant cross-sectional plane according to height will be considered.
Metacentric height KM (metacentric height, metacentric height is the distance of from keel to metancenter (metacenter)) can be written to:
KM=KB+BM
Wherein, KB is the distance from keel to center of buoyance, and BM is the metacentric height of the distance from center of buoyance to metancenter.
BM is drawn by following formula:
BM=I/▽
Wherein, I is the moment of inertia of waterplane area, that is, for circular floating line, the moment of inertia of waterplane area represents I=π/64*D 4, and ▽ is displacement, that is, ▽=pi/2 * D 2* T.
Simplify this expression formula, BM can be write as:
KM=T/2+D 2/(16*T)
This expression formula can carry out differential relative to T.Then obtain following formula:
d(KM)/dT=1/2–D 2/(16*T 2)
When BM is constant, draft T is:
d(KM)/dT=0=>1/2–1/16*(D/T) 2=0
Separate this Solving Equations D/T:
D/T=(8) 1/2
The diagram of curves of the metancenter parameter KM according to D has been shown in Fig. 2.Note, the change of KM will equal the change of GM, because GM=KM – is KG, and keep constant for given loading condition KG.
Derivative (that is, d (the KM)/dT=1/2 – D of KM relative to draft T has been shown in Fig. 3 2/ (16*T 2)) diagram of curves.In figure 3, for multiple diameter, depict the change of KM according to draft T.
Such as, select the floating element with 90m diameter here, but the floating element with different diameter D obviously will have different results.
For the draft of 31m, value equals zero (that is, in figure 3 δ KM (T, 90)=0).For less draft, this change obtains increasing numerical value.It is clear that for the draft far below 30m, because parameter ε becomes significant value, so occurred repairing unstable condition for obtaining horse.
Fig. 3 also show for each diameter, all exist one make the value of the change of KM be zero draft (T).Figure 4 illustrates this relation, wherein, straight line is digital solution based on δ KM=0 and equation D/T=(8) 1/2, the two all gives identical result.
But, can not design the floating element that there is D-T as above and combine.Such as, the draft of the about 31m of the diametric requirements of 90m.In many cases, this is impossible, but the draft of such as 20m will cause situation KM value being changed by the dynamic change of draft.To explain in detail now and how to address this problem.
In Fig. 7 to 9, show the embodiment of floating element 10 of the present invention, this floating element has single central tube 11, central tube support deck structure 16.Central tube 11 comprises and has the cylindricality primary section 14 of octagonal cross-section and the top section 12 of taper, and this top section extends from the top of primary section and passes the water surface 30 of hydrostatic.Top section 12 comprises towards outer sidepiece 13, should towards outer sidepiece towards surrounding environment.On the top of top section 12, floating element is provided with deck construction 16.Generally speaking, conical upper section 12 towards outer sidepiece 13 will be outward-dipping from longitudinal axis 22 in an upward direction, but, as described below, inevitable always like this.Floating structure can be provided with the moon pool 18 extending through primary section 14 and top section 12.
In fig. 8, show primary section 14 and the top section 12 of the cross-sectional plane of the longitudinal axis 22 had perpendicular to floating element 10, the well-regulated octagon-shaped of cross-sectional plane tool, and there is side surface 20.But the shape of cross-sectional plane also can be circular, or the polygonal shape of the rule except octagon.Use the advantage of polygonal shape to be can use flat board instead of bending plate in the process of the central tube 11 manufacturing floating element 10, it is dull and stereotyped easier and more cheap than using bending plate to use.In addition, the turning 21 produced two side surface 20 junctions contributes to the damping of floating element.
By arranging, there is the floating element of the upper taper section 12 (that is, conical upper section 12 extends above and below the water surface) penetrating still water level 30, the inclination of monotubular floating element/stir and move and heave movement can be weakened.The flare angle formed with longitudinal axis (that is, the line of general vertical) towards outer sidepiece 13 of conical upper section 12 has been shown in Fig. 7 and Fig. 9 flare angle size depend on the principal particulars that floating element 10 is as described below.
With reference to figure 9, be " h " from floating line 25 down to the distance of cylindrical section.Conical upper section 12 also will extend certain distance above floating line, preferably extend at least distance " h ".
It is possible for developing a kind of expression formula considering the metancenter parameter KM of the flare of conical upper section 12.The Main Function of this flare which increases floating line moment of inertia, but it also will affect the upright position of displacement and center of buoyance.
By flare being considered as a section of taper, KB value and BM value can be calculated.Usually, people can limit KM according to following parameter:
Wherein, D is the equivalent diameter of unit as above, if that is, the cross-sectional plane of floating element is polygonal (such as octagon), then selects diameter thus according to π/4*D 2and make the polygonal identical of cross-sectional area and considered actual floating element.
T is static (hydrostatic) draft,
the flare angle that must exist,
X represents the vertical motion from intial draft that the motion of floating element causes.
Derivative for the expression formula of KM can obtain now:
Can the function of the same drawing result as shown in Figure 5, wherein, the change of KM value can be drawn according to draft T for four flare angles in addition, as an example, D=90m in all four kinds of situations.As seen in Figure 5, usually can obtain an any combination for diameter D and draft T and all will cause flare angle value.
Draft for any desired all can obtain best flare angle, but in example hereinafter, selective value x=0, that is, hydrostatic draft, because this is considered to draft the most accurately.Can for the value solving equation of many different drafts and the flare angle of the change of respective numbers can be obtained.Result will be no longer taper by being the top section 12 of floating element, but has the bending shape similar with the champagne bottle stood upside down.This theoretical method will draw the most correct shape of top section 12, but because top section 12 will have double bending shape in that case, so the manufacture of top section will be difficulty and costliness.Therefore, for actual purpose, can select constant draft value, such as x=0, therefore, conical upper section 12 is the results with the flare angle corresponding to the draft value selected.
Relative to flare angle solving equation (that is, the value of x is set to zero) gives the flare angle by ensureing the change not having KM (and therefore GM).Therefore, reduce heave movement to be connected with inclination/parameter stirred between motion.
In figure 6, the diameter solving equation for 90m is shown result.As shown in Figure 6, for draft T=20m, flare angle should be selected to guarantee to weaken heave movement and inclination/stir motion.It is to be understood that the above-described for given diameter and draft, less times greater than or the value that is less than flare angle also will work, so good even without optimum value.In example hereinbefore, the optimum value of flare angle will be about 23 °, but best flare angle about ± scope of 20% in flare angle can be considered to available, namely, in this example, flare angle should at least drop in the scope of about 18 °-28 °.
Also can it is noted that in example above, for the draft (when diameter is 90m) being greater than about 32m-33m, flare angle is negative.This represents that conical upper section 12 should tilt towards longitudinal axis, that is, the upward direction of longitudinal axis has the diameter reduced gradually, to guarantee to weaken heave movement and inclination/stir motion.
As mentioned above, obtain the ratio that trend that horse repaiies motion depends on D/T, but can limit flare angle in floating line region, this will cause GM rigidity not change, thus all can not have the propulsive effort for parameter couples between heave and inclination/stir for any combination of D and T.
Mathematical equation given above defines and reaches the necessary flare angle of this object, also in annex hereafter, show in more detail necessary flare angle.

Claims (7)

1. a floating element (10), described floating element comprises single central tube (11), described single central tube has longitudinal center's axis (22), described central tube comprises bottom primary section (14) and top section (12), described top section upwards extends from described primary section (14) and has at least one towards outer sidepiece (13), describedly forms flare angle towards outer sidepiece and vertical axis (22) and wherein, when described floating element is in use, described top section (12) penetrates still water level (30), the described primary section (14) of described floating structure (10) also has equivalent diameter (D), hydrostatic draft (T) and metacentric height (KM), according to described diameter (D), described hydrostatic draft (T), described flare angle draw described metacentric height with the variable part (x) of described draft, thus make the variable part of described draft is the result that described floating element (10) moves, wherein, and the described flare angle of described top section (12) drop on best flare angle ± scope of 20% in, described best flare angle meets following equation:
2. floating element according to claim 1,
It is characterized in that, when seeing in side view, described top section (12) is taper.
3. floating element according to claim 1,
It is characterized in that, when seeing in side view, described top section (12) has bending shape.
4. according to the floating element described in claims 1 to 3,
It is characterized in that, the horizontal section tool well-regulated polygonal shape vertical with the longitudinal axis (22) of described floating structure (10) of the described cylinder (11) of described floating structure (10).
5. according to the floating element described in Claims 1-4,
It is characterized in that, the horizontal section tool well-regulated octagon-shaped vertical with the longitudinal axis (22) of described floating structure (10) of the described cylinder (11) of described floating structure (10).
6. according to the floating element described in claims 1 to 3,
It is characterized in that, the horizontal section vertical with the longitudinal axis (22) of described floating structure (10) of the described cylinder (11) of described floating structure (10) is circular.
7. one kind for reducing the method for the inclination of single central tube floating element (10)/stir motion, described floating element comprises single central tube (11), described single central tube has longitudinal center's axis (22), described central tube comprises bottom primary section (14) and top section (12), described top section (12) upwards extends from described primary section (14) and has at least one towards outer sidepiece (20), describedly forms flare angle towards outer sidepiece and described longitudinal axis (22) and wherein, when described floating element is in use, described top section (12) penetrates still water level (30), the described primary section (14) of described floating structure (10) also has equivalent diameter (D), hydrostatic draft (T) and metacentric height (KM), according to described diameter (D), described hydrostatic draft (T), described flare angle draw described metacentric height with the variable part (x) of described draft, thus make the variable part of described draft is the result that described floating element (10) moves, wherein, and the described flare angle of described top section (12) be selected such that described flare angle drops on best flare angle ± scope of 20% in, described best flare angle meets following equation:
CN201480012879.XA 2013-01-11 2014-01-08 Floating unit and a method for reducing heave and pitch/roll motions of a floating unit Pending CN105026252A (en)

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
NO20130081A NO339535B1 (en) 2013-01-11 2013-01-11 Floating unit and method for reducing stomping and rolling movements of a floating unit
NO20130081 2013-01-11
PCT/EP2014/050208 WO2014108432A1 (en) 2013-01-11 2014-01-08 Floating unit and a method for reducing heave and pitch/roll motions of a floating unit

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BR (1) BR112015016782A2 (en)
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CN110155263B (en) * 2019-06-05 2021-01-26 中国海洋石油集团有限公司 Cylindrical semi-submersible drilling platform
CN114275110B (en) * 2021-12-28 2023-05-19 谢沛鸿 Jellyfish iceberg type marine building structure

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