WO2013172408A1 - 転覆危険度算出システム - Google Patents
転覆危険度算出システム Download PDFInfo
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- WO2013172408A1 WO2013172408A1 PCT/JP2013/063647 JP2013063647W WO2013172408A1 WO 2013172408 A1 WO2013172408 A1 WO 2013172408A1 JP 2013063647 W JP2013063647 W JP 2013063647W WO 2013172408 A1 WO2013172408 A1 WO 2013172408A1
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B63—SHIPS OR OTHER WATERBORNE VESSELS; RELATED EQUIPMENT
- B63B—SHIPS OR OTHER WATERBORNE VESSELS; EQUIPMENT FOR SHIPPING
- B63B39/00—Equipment to decrease pitch, roll, or like unwanted vessel movements; Apparatus for indicating vessel attitude
- B63B39/14—Equipment to decrease pitch, roll, or like unwanted vessel movements; Apparatus for indicating vessel attitude for indicating inclination or duration of roll
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B63—SHIPS OR OTHER WATERBORNE VESSELS; RELATED EQUIPMENT
- B63B—SHIPS OR OTHER WATERBORNE VESSELS; EQUIPMENT FOR SHIPPING
- B63B43/00—Improving safety of vessels, e.g. damage control, not otherwise provided for
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B63—SHIPS OR OTHER WATERBORNE VESSELS; RELATED EQUIPMENT
- B63B—SHIPS OR OTHER WATERBORNE VESSELS; EQUIPMENT FOR SHIPPING
- B63B49/00—Arrangements of nautical instruments or navigational aids
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B63—SHIPS OR OTHER WATERBORNE VESSELS; RELATED EQUIPMENT
- B63B—SHIPS OR OTHER WATERBORNE VESSELS; EQUIPMENT FOR SHIPPING
- B63B79/00—Monitoring properties or operating parameters of vessels in operation
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B21/00—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B63—SHIPS OR OTHER WATERBORNE VESSELS; RELATED EQUIPMENT
- B63B—SHIPS OR OTHER WATERBORNE VESSELS; EQUIPMENT FOR SHIPPING
- B63B2213/00—Navigational aids and use thereof, not otherwise provided for in this class
Definitions
- the present invention relates to a rollover risk degree calculation system that calculates a rollover risk degree that is an index of a rollover risk in a ship.
- Patent Document 1 In order to prevent ship capsizing, a technique for informing the danger of capsizing has been proposed (for example, see Patent Document 1).
- the risk of rollover is determined by displaying limit value information on the possibility of rollover obtained based on ship motion data during navigation and restoration performance information at the design stage.
- the restoration performance information at the design stage There is no specific description of the restoration performance information at the design stage, but considering the existing shipbuilding science, the ship width value, center of gravity position, buoyancy position according to the hull inclination, metacenter position, etc. It is considered to be hull information.
- the conventional technology has a problem that if hull information is unknown or is not accurate hull information, it is not possible to obtain information that is an index of capsizing risk using only hull motion data during navigation. It was.
- the object of the present invention is to solve the problems of the prior art, and to calculate a capsizing risk level that is an index of a capsizing risk based on the motion of the hull without using hull information. To provide a risk calculation system.
- the rollover risk calculation system includes a vertical direction detecting means for detecting a vertical reciprocating motion of a ship as a vertical swing of a virtual swing center axis, and a simple roll direction centering on the center axis of the ship.
- Roll direction detecting means for detecting pendulum movement as a simple pendulum movement centered on the center axis of the ship's center of gravity, and the shaking obtained based on detection results of the vertical direction detecting means and the roll direction detecting means
- Computation means for calculating, as a rollover risk, a rocking radius connecting a central axis and the center of gravity of the ship and a rollover limit rocking radius connecting the rocking central axis and the metacenter of the ship.
- the calculation means may calculate a rollover limit inclination angle based on the rocking radius and the rollover limit rocking radius as the rollover risk degree.
- the rollover risk is an index of rollover risk based on the reciprocating motion of the ship in the vertical direction and the simple pendulum motion in the roll direction around the center axis of the ship. There is an effect that can be calculated.
- FIG. 1 It is a schematic perspective view which shows the structure of embodiment of the rollover risk degree calculation system which concerns on this invention. It is a schematic perspective view which shows the example of attachment to the ship of the vibration detection part shown in FIG. It is a block diagram which shows the structure of embodiment of the rollover risk degree calculation system which concerns on this invention. It is explanatory drawing for demonstrating the three-dimensional gravity center position detection theory applied to embodiment of the rollover risk degree calculation system which concerns on this invention. It is explanatory drawing for demonstrating the three-dimensional gravity center position detection theory applied to embodiment of the rollover risk degree calculation system which concerns on this invention. It is explanatory drawing for demonstrating the rocking
- the rollover risk degree calculation system is based on a vibration detection unit 1 that is attached to a ship and detects the swing of the ship, and the swing of the ship detected by the vibration detection unit 1. And a data processing device 2 for predicting the risk of rollover.
- the vibration detection unit 1 includes a reference plate 3, an acceleration sensor 4 and an angular velocity sensor 5 that function as a swing detection unit that detects the swing of the reference plate 3, and an A / D (analog / digital) converter 6. Has been.
- the reference plate 3 is a rectangular flat plate having attachment holes 31 formed at four corners, and a Y-axis line 32 and an X-axis line 33 orthogonal to the Y-axis line 32 are described.
- the acceleration sensor 4 is adjusted in sensitivity axis so as to detect acceleration in the Z-axis direction orthogonal to the Y-axis line 32 and the X-axis line 33, that is, vertical pitching (swing) in the vertical direction of the reference plate 3.
- the angular velocity sensor 5 is adjusted in sensitivity axis so as to detect the angular velocity in the rotation direction around the Y-axis line 32, that is, roll in the roll direction of the reference plate 3 around the Y-axis line 32. ing.
- the acceleration sensor 4 and the angular velocity sensor 5 are not particularly limited, and as the acceleration sensor 4, for example, an arbitrary sensor such as a semiconductor type or a capacitance type can be adopted, and as the angular velocity sensor 5, for example, an arbitrary sensor such as a gyroscope or an optical fiber gyro can be employed. Further, as the acceleration sensor 4 and the angular velocity sensor 5, a three-axis (three-dimensional) angular velocity sensor may be used.
- the reference plate 3 is provided with an A / D (analog / digital) converter 6.
- the A / D converter 6 converts the analog signal (detection result) output from the acceleration sensor 4 and the angular velocity sensor 5 into a digital signal and outputs the digital signal to the data processing device 2.
- the vibration detector 1 is attached to the ship 7 with reference to the center line of the ship 7.
- the center line of the ship 7 is a virtual axis in the front-rear direction where the center of gravity G of the ship 7 is located.
- the reference plate 3 is attached to the ship 7 so that the Y axis 32 is parallel to the center axis of the ship 7 and the Z axis perpendicular to the Y axis 32 and the X axis 33 intersects the center axis of the ship 7.
- the acceleration sensor 4 is adjusted in sensitivity axis so as to detect vertical pitching (swing) in the vertical direction of the ship 7 and functions as vertical direction detecting means for detecting reciprocating motion in the vertical direction of the ship 7.
- the angular velocity sensor 5 has a sensitivity axis adjusted so as to detect roll (rolling) in the roll direction around the center axis of the ship 7, and a simple pendulum motion in the roll direction around the center axis of the ship. It functions as a roll direction detecting means for detecting.
- the acceleration sensor 4 In order to make the acceleration sensor 4 function correctly as the pitch detection means, it is ideal that the Y axis 32 and the center axis of the ship 7 are ideally matched. However, as shown in FIG. Even if the reference plate 3 is attached to a position (for example, a deck or the like) 32 shifted vertically from the center axis of the ship 7, it is possible to detect the vertical swing (swing) of the ship 7 almost accurately. .
- the vibration detection unit 1 that is, the reference plate 3 is attached to the ship 7. If it is rock
- the data processing device 2 includes an arithmetic unit 21 composed of a microprocessor, a storage unit 22 composed of a ROM (Read Only Memory), a RAM (Random Access Memory), and an operation unit 23 such as a keyboard.
- a notification unit 24 such as a liquid crystal display or a speaker and a reception unit 25 are provided, and each unit is connected by a bus 26.
- the storage unit 22 stores a calculation program for deriving the position of the center of gravity and various input constants necessary for the calculation.
- the calculation unit 21 causes the storage unit 23 to store outputs from the acceleration sensor 4 and the angular velocity sensor 5 for a certain period based on a calculation instruction from the operation unit 23. Next, based on the output from the acceleration sensor 4 and the angular velocity sensor 5 stored in the storage unit 22 according to the calculation program stored in the storage unit 22, the calculation unit 21 is based on the fluctuation of the ship 7 based on the fluctuation of the vessel 7. Calculate the rollover risk.
- the rollover risk calculated by the calculation unit 21 is notified to the user by the notification unit 24 and is used as an index for predicting the risk of rollover.
- an object 82 on a spring structure 81 supported by a pair of springs 80 will be considered as shown in FIG.
- the object 82 on the spring structure 81 is subjected to disturbance due to its movement, or even when it is stopped, an external force is directly applied to cause vertical vibration (single vibration in the vertical direction) and lateral vibration (roll direction).
- the central axis of roll (roll direction) is referred to as a swing central axis 83.
- the pitch and roll are determined according to the unique spatial center of gravity position of the object 82, so that the simple vibration frequency “v ′” of the pitch and the roll frequency “v” of the roll can be obtained.
- the position of the center of gravity of the object 82 in the three-dimensional space from the swing center axis 83 can be obtained without requiring information on the weight and shape of the object 82 (hereinafter, this theory is referred to as a three-dimensional center of gravity detection theory). Called).
- the center-of-gravity height “l” from the swing center axis 83 to the center of gravity G of the object 82 can be expressed by the following equation.
- the rollover limit height “l max ” that is the limit center-of-gravity height “l” at which the object 82 placed on the spring structure 81 rolls over is expressed by the following equation. Can be represented.
- Equation 2 is described as (Equation 6) in Japanese Patent Application No. 2011-266708 filed earlier by the present inventor, and the rollover limit height “l max ” is the simple pitching. This can be obtained if the vibration frequency “v ′” and the width “b” of the pair of springs 80 are known.
- ⁇ max is a rollover limit angle, and is an arc of a rollover limit height “l max ” centered on the oscillation center axis 83 and each perpendicular line on both sides of the width “b” of the pair of springs 80.
- a straight line connecting the intersection and the oscillation center axis 83 is an angle formed with a perpendicular on the oscillation center axis 83.
- the motion of the mass points floating on the water surface causes a circular motion by waves.
- the movement becomes smaller as you dive below the surface of the water and stops moving at a certain depth.
- the ship 7 is basically controlled by this motion as a matter of course. Therefore, it is considered that the center of gravity G of the ship 7 has a pitch (single vibration in the vertical direction) and a roll (roll direction) with a specific axis position below the water surface as a base point.
- the axial position that is the center of the pitch and roll does not exist in a form that is physically visible in the hypocenter, but this hypocenter is the center axis O of the oscillation of the ship 7. can do.
- the length of the line segment connecting the oscillation center axis O and the center of gravity G of the ship 7 becomes the oscillation radius “l” of the ship 7 corresponding to the center of gravity height “l” of the three-dimensional center of gravity detection theory on land.
- the oscillation center axis O of the center of gravity G is usually below the surface of the water, but depending on the conditions of the ship 7, it can theoretically be freely taken from the inside of the ship at the top of the ship bottom to the water at the bottom of the ship bottom or below the water bottom.
- the value of the width “b” of the pair of springs 80 that support the spring structure 81 is required in advance.
- the value of the width “b” is the length of the width of the left and right car bearing portions.
- the value of the width “b” cannot be determined in advance because the spring structure 81 itself does not exist.
- FIG. 7 illustrates the state at the moment when the ship 7 is slightly tilted to the right based on the three-dimensional center-of-gravity detection theory. Since the roll inclination angle is fine, as shown in FIG. 7A, the metacenter M, the center of gravity G, and the oscillation center axis O can be regarded as being on a straight line, and the straight line is a roll inclination. Tilt at an angle.
- FIG. 7A illustrates the state at the moment when the ship 7 is slightly tilted to the right based on the three-dimensional center-of-gravity detection theory. Since the roll inclination angle is fine, as shown in FIG. 7A, the metacenter M, the center of gravity G, and the oscillation center axis O can be regarded as being on a straight line, and the straight line is a roll inclination. Tilt at an angle.
- FIG. 7B shows an enlarged view of the positional relationship among the metacenter M, the center of gravity G, and the buoyancy center B shown in FIG.
- FIG. 7 (c) shows an enlarged view of the positional relationship between the center of gravity G and the buoyancy center B shown in FIG. 7 (b).
- the metacenter M and the center of gravity G are linked to the inclination of the hull, but the buoyancy B is constantly located on a perpendicular line from the metacenter M without any relation to the inclination of the hull.
- the intersection of the perpendicular passing through the buoyancy B and the perpendicular passing through the center of gravity G when the ship 7 is not inclined is the metacenter M. Therefore, when the ship 7 is tilted, there is a gap between a straight line passing through the metacenter M and the center of gravity G and a perpendicular passing through the floating center B.
- the intersection is Z, the distance of the distance becomes GZ and the stability of the ship 7
- the source reconstruction lever principle
- GZ is generated by the interlocking of the metacenter M, the center of gravity G, the buoyancy B, and the oscillation center axis O.
- the ship 7 is assumed to be tilted at a fine roll inclination angle.
- the roll inclination angle of the ship 7 is larger. It becomes a big slope.
- FIG. 8 shows the relationship among the metacenter M, the center of gravity G, the buoyancy center B, the oscillation center axis O, and GZ in the case of such a large inclination.
- FIG. 8 shows the relationship among the metacenter M, the center of gravity G, the buoyancy center B, the oscillation center axis O, and GZ in the case of such a large inclination.
- the vessel 7 in (a) shows a state in which the roll inclination angle is zero
- the vessel 7 in (b) inclines at a roll inclination angle ⁇
- the vessel 7 in (c) shows a roll inclination angle.
- Each state is further tilted by ⁇ max .
- the center axis O of the lower center is located below the center of gravity G
- the upper center metacenter M is located above
- the center B is vertically below the metacenter M.
- the roll inclination angle ⁇ changes as the two interlock. Since the ship 7 floating on the water surface is constantly buoyant, even if the ship 7 is inclined, the position of the center of gravity G can only move parallel to the water surface. On the other hand, if the inclination of the hull increases, the metacenter M, which is a theoretical existence, decreases its height while following an arc shape. Therefore, as shown in FIG. 8 (b), GZ increases as the vessel 7 tilts, but the position of the metacenter M shown in FIG.
- the roll inclination angle “ ⁇ max ” of the ship 7 shown in FIG. 8C serves as a boundary between capsize and restoration, and the restoration area in which the roll inclination angle of the ship 7 is smaller than “ ⁇ max ”
- a rollover region having a roll inclination angle larger than “ ⁇ max ” is defined.
- the roll inclination angle “ ⁇ max ” shown in FIG. 8 and the rollover limit angle “ ⁇ max ” shown in FIG. 5 are both angles indicating the boundary between rollover and restoration, and the metacenter M and the oscillation center axis It can be seen that the length of the line segment connecting O corresponds to the rollover limit height “l max ” of the three-dimensional center-of-gravity detection theory on land.
- the length of the line segment connecting the metacenter M and the oscillation center axis O is referred to as a rollover limit oscillation radius “l max ”.
- the width of the ship 7 relative to the perpendicular passing through the center of gravity G can also be regarded as 1 ⁇ 2 of the width “b” of the pair of springs 80 shown in FIG.
- the single vibration frequency “v ′” of pitching and the roll frequency “v” of rolling are calculated based on outputs from the acceleration sensor 4 and the angular velocity sensor 5. That is, the vertical reciprocation of the ship 7 detected by the acceleration sensor 4 is defined as the vertical oscillation of the oscillation center axis O (single vibration frequency “v ′”).
- a simple pendulum motion in the roll direction around the central axis of the ship 7 detected by the angular velocity sensor 5 is defined as a simple pendulum motion (roll frequency “v”) around the oscillation center axis O.
- the capsizing limit condition of the ship 7 is derived. As shown in FIG. 8, when the ship 7 is inclined and the length GM of the line connecting the metacenter M and the center of gravity G becomes zero, the restoring force is lost and the caps are overturned. Further, as described above, the length of the line segment connecting the metacenter M and the oscillation center axis O becomes the rollover limit oscillation radius “l max ”, and the length of the line segment connecting the center of gravity G and the oscillation center axis O is oscillation. Since the radius is “l”, the conditional expression of the rollover limit can be expressed by the following expression.
- conditional expression of (Expression 6) is only a condition in a state where the ship 7 is stationary without causing a swing (roll) in the horizontal direction. Since the ship 7 is constantly receiving wind waves on the surface of the water, rolls always occur in the horizontal direction, and therefore it is necessary to indicate the rollover limit maximum roll angle. As shown in FIG. 8, even if the ship 7 is inclined in the roll direction, the vertical position of the center of gravity G with respect to the oscillation center axis O remains unchanged, but the rollover limit oscillation radius “l max ” from the oscillation center axis O is unchanged. The position of the metacenter M at a distance in the vertical direction with respect to the oscillation center axis O decreases as the roll inclination angle ⁇ of the ship 7 increases. Therefore, it is considered that the ship 7 rolls over when the roll inclination angle ⁇ satisfies the condition shown in the following equation.
- the limit roll inclination angle “ ⁇ max ” (hereinafter referred to as the rollover limit inclination angle “ ⁇ max ”) for preventing the ship 7 from being overturned even when being shaken by the wind wave is the rollover limit rocking radius “l max ” and the rocking radius. It can be expressed by the following equation using “l”.
- Equation 8 the roll inclination angle ⁇ that does not roll over even when the ship 7 is shaken by the wind wave needs to satisfy the following equation.
- Equation 7 The condition of (Equation 7) is the same as (Equation 6) in a state where the ship 7 is stationary without causing any horizontal shaking (roll), so the ship 7 does not capsize. This is a necessary and sufficient condition.
- the calculation unit 21 of the data processing device 2 starts with the simple vibration frequency “v ′” of the pitch and the roll frequency of the roll. “V” is calculated, the rollover limit rocking radius “l max ” and the rocking radius “l” are calculated using the above (Equation 5), and finally the rollover limit is calculated using the above (Equation 9).
- the inclination angle “ ⁇ max ” is calculated as the risk of rollover.
- the rollover limit inclination angle “ ⁇ max ” calculated by the calculation unit 21 is notified to the user by the notification unit 24 such as a liquid crystal display or a speaker, and is used as an index for predicting the risk of rollover of the ship 7.
- the rollover limit rocking radius “l max ” and the rocking radius “l”, which are the processes of the calculation unit 21, may be notified as rollover risk. Further, based on the output from the angular velocity sensor 5, the current roll inclination angle ⁇ of the ship 7 is detected, and the comparison result between the detected roll inclination angle ⁇ and the rollover limit inclination angle “ ⁇ max ” is used as the risk of rollover. You may comprise so that it may alert
- Significant wave height is the average of wave heights that fall in the top third from the highest wave height when various wave heights observed in a certain amount of time are arranged in order from the smallest to the largest. What you did. For this reason, it is empirically known that the instantaneous maximum wave height may reach a height of about 1.6 times the significant wave height h, although rarely. From such a relationship, in the field of shipbuilding and voyage, it is common to use the significant wave height h as a standard that affects the stability of the hull and the risk of rollover.
- the wavelength of the wave height h is calculated using (Equation 5), which is the most dangerous when the rollover risk is considered in accordance with this technique (the hull 7 is easily inclined). It is a situation that becomes equal to the width “b”. 9, 8, overturning limit upset radius "l max" - upset radius "l” is 0 and a position, a tangent of the angle of the circle overturning limit upset radius "l max” draw, such This is when the wavefront of the wavelength has been reached. This is an image of this situation.
- the roll inclination angle “ ⁇ h ” of the ship 7 at this time can be defined as follows using the width “b” calculated using (Equation 5) and the wave height h.
- condition of the wave height h that the ship 7 does not roll over even when the ship 7 is shaken by the wind wave can be expressed by the following formula using the rollover limit inclination angle “ ⁇ max ”.
- the calculation unit 21 of the data processing device 2 can calculate and output the wave height h that does not roll over even if the ship 7 is shaken by the wind wave from the roll over limit inclination angle “ ⁇ max ”, and can input the wave height h.
- the comparison result between the input wave height h and the rollover limit inclination angle “ ⁇ max ” may be reported as the rollover risk level.
- the conditions shown in FIG. 9 should be considered as an effective standard for the capsizing limit of the ship 7 at sea. Is reasonable.
- the reference of the capsize limit of the ship 7 should be the minimum necessary position, and more safely, the reference wave height is 1.6 times the significant wave height.
- FIG. 10 shows an example in which the rollover risk calculation system of the present embodiment is attached to the ships A and B and the rollover risk is calculated.
- the hull information of the ships A and B is known, and GM (the length of the line segment connecting the metacenter M and the center of gravity G) is determined based on the existing shipbuilding based on the hull information.
- the rollover limit rocking radius “l max ” corresponding to the GM—the rocking radius “ l "became 1.8m.
- the rollover limit inclination angle “ ⁇ max ” was 52.9 °, which proved to be sufficiently safe.
- the wave height h at which the rollover limit inclination angle “ ⁇ max ” and the roll inclination angle “ ⁇ h ” substantially coincide with each other is 9.6 m, and the wave height h is approximately 10 m. became.
- the rollover limit rocking radius “l max ” corresponding to the GM—the rocking radius “ l "became 1.22m.
- the rollover limit inclination angle “ ⁇ max ” was 40.9 °, which proved to be sufficiently safe.
- the wave height h at which the rollover limit inclination angle “ ⁇ max ” and the roll inclination angle “ ⁇ h ” substantially coincide with each other is 5.7 m, and the wave height h is approximately 6 m. became.
- FIG. 11A A rectangular model ship 90 having a width of 0.22 m as shown in FIG. 11A is floated on the sea surface, and the capsizing risk calculation system of this embodiment is attached to the model ship 90 to calculate the capsizing risk. It was.
- the weight 91 was arrange
- the degree of risk is calculated, and the calculation result is shown in FIG.
- FIG. 13 is a scatter diagram in which ⁇ max in the calculation result shown in FIG. 12 is taken on the vertical axis and the position of the center of gravity height is taken on the horizontal axis.
- the capsizing limit inclination angle “ ⁇ max ” of the model ship 90 decreases with a quadratic curve along with the center of gravity height position, and the model ship 90 capsizes the extension line of the trend. It also almost coincides with the height of the center of gravity. Therefore, the rollover limit inclination angle “ ⁇ max ” calculated by the rollover risk degree calculation system according to the present embodiment is considered to represent the rollover risk degree of the model ship 90 according to the center of gravity height position.
- the vibration detection unit 1 and the data processing device 2 are configured to be connected to a cable.
- the vibration detection unit 1 and the data processing device 2 may be connected wirelessly. good. In this case, it is not necessary to install the vibration detection unit 1 and the data processing device 2 together, and part or all of the functions of the data processing device 2 can be separated from the vibration detection unit 1 and installed on land, for example. it can.
- the acceleration sensor 4 that detects the vertical reciprocation of the ship 7 as the vertical swing of the virtual swing center axis O and the roll centered on the central axis of the ship 7 are described.
- Angular velocity sensor 5 that detects a simple pendulum motion in a direction as a simple pendulum motion around the oscillation center axis O of the center of gravity G of the ship 7, and the oscillation center axis obtained based on the detection results of the acceleration sensor 4 and the angular velocity sensor 5 O and the upset radius l connecting the center of gravity G of the ship 7, and a calculation unit 21 for calculating the overturn risk of a rollover limit sway radius L max connecting the metacentric M upset center axis O and ships 7.
- a GM that is an index of a rollover risk based on the reciprocating motion of the ship in the vertical direction and the simple pendulum motion in the roll direction around the center axis of the ship. Further, since it is not necessary to use hull information for this calculation, it is possible to calculate in real time a GM that changes according to the surrounding environment of the ship 7 and the state of the ship 7.
- the arithmetic unit 21 is configured to calculate the overturning limit inclination angle theta max based on the upset radius l and overturning limit sway radius l max as rollover risk.
- the rollover limit inclination angle ⁇ that becomes an index of rollover risk based on the vertical reciprocation of the ship and the simple pendulum movement in the roll direction around the center axis of the ship There is an effect that max can be calculated.
- the present invention is not limited to the above-described embodiments, and it is obvious that each embodiment can be appropriately changed within the scope of the technical idea of the present invention.
- the number, position, shape, and the like of the constituent members are not limited to the above-described embodiment, and can be set to a suitable number, position, shape, and the like in practicing the present invention. In each figure, the same numerals are given to the same component.
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Abstract
Description
さらに、転覆危険度算出システムにおいて、前記演算手段は、前記動揺半径と前記転覆限界動揺半径とに基づく転覆限界傾斜角度を前記転覆危険度として算出するようにしても良い。
転覆危険度の算出動作に先立ち、まず、図4に示すように、一対のバネ80によって支えられたばね構造体81上の物体82について考察する。ばね構造体81上の物体82は、その移動により外乱を受けるか、停止中であっても外力が直接加えられることにより、縦揺れ(上下方向の単振動)と、横揺れ(ロール方向)とを生じる。なお、横揺れ(ロール方向)の中心軸のことを揺動中心軸83とする。この縦揺れ及び横揺れは、物体82の持つ唯一無二の空間的な重心位置に応じて定まるので、縦揺れの単振動周波数「v’」と、横揺れのロール周波数「v」とを求めれば、物体82の重量や形状の情報を必要することなく、揺動中心軸83からの物体82の三次元空間上の重心位置を求めることができる(以下、この理論を三次元重心検知理論と称す)。例えば、物体82が揺動中心軸83に対して左右対称な形状であれば、揺動中心軸83から物体82の重心Gまでの重心高さ「l」は、次式で表すことができる。
三次元重心検知理論では、図4に示すように、ばね構造体81上の物体82の動揺を、揺動中心軸83を中心とした動揺として、重心高さ「l」や横転限界高さ「lmax」を求めている。従って、三次元重心検知理論を船舶7に適用する場合にも、船舶7の動揺の中心となる軸を定める必要がある。
まず、船舶7が微細な横揺れ傾斜角で傾斜した状態を考える。図7は、船舶7がわずかに右傾した瞬間の状態を三次元重心検知理論に基づいて図説したものである。横揺れ傾斜角は微細であるので、図7(a)に示すように、メタセンタMと、重心Gと、動揺中心軸Oとは、直線上にあると見なせて、その直線は横揺れ傾斜角分で傾いている。図7(b)には、図7(a)に示すメタセンタM、重心G及び浮心Bの位置関係を拡大したものが示されている。図7(c)には、図7(b)に示す重心G及び浮心Bの位置関係を拡大したものが示されている。
図8に示すように、船舶7が傾斜し、メタセンタMと重心Gとを結ぶ線分の長さGMがゼロになると、復原力を喪失して転覆することになる。また、上述のように、メタセンタMと動揺中心軸Oとを結ぶ線分の長さが転覆限界動揺半径「lmax」となり、重心Gと動揺中心軸Oとを結ぶ線分の長さが動揺半径「l」となるため、転覆限界の条件式は、次式で表すことができる。
船舶7を傾斜させる要因にはいくつかあるが、すべての船舶7において支配的となるのは航海中に遭遇する波である。特に、海面上では風波が折り重なって波高を生じるため、海波の出現は複雑な現象となる。そこで、最も一般的な、水深が十分にある沖波を例にとれば、有義波高を用いるのが妥当である。
本実施の形態の転覆危険度演算システムを船舶A、Bに取り付け、転覆危険度を算出させた例を図10に示す。船舶A、Bの船体情報は、既知であり、船体情報に基づいて既存造船学に基づいてGM(メタセンタMと重心Gとを結ぶ線分の長さ)が求められている。
図11(a)に示すような船幅が0.22mの方形の模型船90を海水面に浮かべ、模型船90に本実施の形態の転覆危険度算出システムを取り付けて転覆危険度を算出させた。模型船90には、安定的に水面上に浮かべるために、図11(b)に示すように、重し91を船底左右中央に配置した。そして重さを無視できる軽量な台座(図示せず)を、重し91の下に順次挿入することで、船底から重しの重心位置Gまでの重心高さの位置を変化させ、それぞれについて転覆危険度を算出させ、その算出結果を図12に示す。また、図13は、図12に示す算出結果におけるθmaxを縦軸にとり、重心高さの位置を横軸に取った散布図である。
2 データ処理装置
3 基準板
4 加速度センサ
5 角速度センサ
6 A/D変換器
7 船舶
21 演算部
22 記憶部
23 操作部
24 報知部
25 受信部
26 バス
31 取り付け孔
32 Y軸線
33 X軸線
80 バネ
81 ばね構造体
82 物体
83 揺動中心軸
Claims (2)
- 船舶の上下方向の往復運動を仮想の動揺中心軸の上下方向の動揺として検出する上下方向検出手段と、
前記船舶の中心軸を中心としたロール方向の単振子運動を前記船舶の重心の前記動揺中心軸を中心とする単振子運動として検出するロール方向検出手段と、
前記上下方向検出手段及び前記ロール方向検出手段の検出結果に基づいて得られる、前記動揺中心軸と前記船舶の重心とを結ぶ動揺半径と、前記動揺中心軸と前記船舶のメタセンタとを結ぶ転覆限界動揺半径とを転覆危険度として算出する演算手段とを具備することを特徴とする転覆危険度算出システム。 - 前記演算手段は、前記動揺半径と前記転覆限界動揺半径とに基づく転覆限界傾斜角度を前記転覆危険度として算出することを特徴とする請求項1記載の転覆危険度算出システム。
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