Method for calculating the speed attenuation factor of a person walking in any direction when the ship is heeling

Abstract

The application relates to a method for calculating the speed attenuation coefficient of personnel walking in any direction when a ship body is inclined, and provides a method for calculating the speed attenuation coefficient of personnel walking in any direction when a ship body is inclined (heeled or tilted), which is reliable in theory, clear in concept and easy to realize, and can be used for calculating the walking speed of personnel on a ship (especially a passenger ship) in any direction when the ship body is inclined, so as to provide reasonable basic data for calculating the escape and evacuation time of personnel on the ship, reasonably planning the evacuation path and escape exit of personnel on the ship.

Description

Technical Field

[0001] This invention relates to a method for calculating the speed attenuation coefficient of personnel walking in any direction when the ship is tilted. Background Technology

[0002] The statements herein provide only background information in relation to this disclosure and do not necessarily constitute prior art.

[0003] When a ship, such as a passenger ship, is sailing, one of the negative effects of the ship's tilt on the evacuation of people is that it slows down the walking speed of people on the tilted deck, thereby increasing the travel time on the same route.

[0004] To quantitatively study these phenomena, researchers often conduct walking exercises with personnel under ship tilting conditions using ship simulators, investigating the relationship between the walking speed attenuation coefficient and the ship's buoyancy. In these experiments, researchers simulate ship tilting by changing the relative height of the ground on the left and right sides or at the bow and stern of the simulator. The subjects then walk forward in a passageway with only one entrance and one exit. Figure 1 The figure shown is a schematic diagram of the movement scene of the experimental subjects in the personnel evacuation experiment.

[0005] The development team of the passenger ship evacuation software AENEAS summarized the experimental research results of personnel walking exercises conducted by maritime agencies of various countries based on ship simulators in their report submitted to the IMO, and fitted the results into a linear function relationship. Among them, when the passenger ship is listing or trimming, the linear function relationship between the personnel walking speed attenuation coefficient and the ship's tilt angle is shown in the following equations (1) and (2):

[0006]

[0007]

[0008] In the formula, r h and r t These are the attenuation coefficients for passenger walking speed when the passenger ship is heeling and trimming, respectively, where φ is the heel angle. The angle of inclination is the longitudinal angle of the ship.

[0009] The IMO MSC.1 / Cire909 circular specifies the free walking speed V0 for passengers when the ship is upright (without tilting). Therefore, the free walking speed V for passengers when the ship is tilting (listening or trimming) is:

[0010] V = V0·r I (3)

[0011] Where r I ∈{r h ,r t}

[0012] When the ship tilts, the above formula (3) only applies to personnel along the hull. Figure 2 The scenarios depicted in (a) and (b) involve walking along paths parallel to the oX axis when the ship is tilting. Figure 2 As shown in (a); or when the ship is listing, personnel walk along a direction parallel to the oY axis, such as Figure 2 As shown in (b).

[0013] However, when personnel along Figure 3 When walking along the diagonal path shown, neither Equation 1 nor Equation 2 can be used alone as the attenuation coefficient for calculating the walking speed of people on that path.

[0014] Therefore, it can be seen that the above calculation method has limitations and cannot be applied to [other methods]. Figure 3 The aforementioned case of traveling along an oblique path applies only to cases along the oX-axis or oY-axis.

[0015] However, as passengers' requirements for ship comfort increase, ships will have more open spaces, especially passenger ships, which often have many public activities or entertainment venues. When people are evacuating, their walking direction is often quite arbitrary. Directly using the above method to calculate does not meet the actual situation. Therefore, it is necessary to calculate the speed of people walking in any direction when the ship is tilted. The key is to obtain the attenuation coefficient of the speed of people walking in any direction. Summary of the Invention

[0016] To address the shortcomings of existing technologies, this invention provides a method for calculating the speed attenuation coefficient of personnel walking in any direction when the ship is tilting. When the ship is tilting, i.e., heeling or trimming, the method calculates the speed attenuation coefficient of evacuees walking in any direction. This method can be used to calculate the walking speed of evacuees on a ship (especially a passenger ship) in any direction when the ship is tilting, thereby providing reasonable basic data for calculating the evacuation time of personnel on board, rationally planning the evacuation route and escape exit.

[0017] The technical solution of this invention is as follows:

[0018] This invention provides a method for calculating the velocity attenuation coefficient of personnel walking in any direction when the ship is tilted, comprising the following steps:

[0019] S1. Establish a coordinate system and define the direction of personnel movement:

[0020] S11. Define a spatial personnel coordinate system P-XYZ. The directions of each axis and the position of the origin of the personnel coordinate system are as follows: Point P is the personnel's current footing on the deck; the positive direction of the PX axis points towards the bow; the positive direction of the PY axis points towards the port side; the positive direction of the PZ axis is perpendicular to the PXY plane and passes through point P.

[0021] S12. Describe the relative positional relationship between the current position of the personnel and the exit based on the spatial personnel coordinate system P-XYZ. Define the arbitrary walking direction of the personnel during evacuation based on the relative positional relationship between the current position of the personnel and the exit position.

[0022] S13. Formula for calculating the angle between the direction of movement of a person and the PX axis in the person's coordinate system:

[0023] Assume that the direction of the person's walking makes a certain angle θ with the positive direction of the PX axis in the person's coordinate system (-π≤θ≤π);

[0024] The positive and negative directions of the included angle θ are defined as follows:

[0025] If the positive direction of the PX axis is rotated to coincide with the direction of the walking speed, rotation in the clockwise direction is positive, and rotation in the counterclockwise direction is negative;

[0026] The formula for calculating the size of the included angle θ is:

[0027]

[0028] In the formula, x E It is the x-coordinate of the location of the exit;

[0029] y E It is the ordinate of the location of the exit;

[0030] x0 is the x-coordinate of the person's current location;

[0031] y0 is the ordinate of the person's current location;

[0032] S2. Calculate the velocity attenuation coefficient for personnel walking in any direction when the ship is heeling:

[0033] Assuming the walking path is L, this path can be equivalent to:

[0034] L=L1cosθ+L2sinθ (5)

[0035] In the formula, L1 is the projection of L onto the PX axis;

[0036] L2 is the projection of L onto the PY axis;

[0037] S21. The passenger ship is heeling at a certain angle φ:

[0038] When a person walks along path L1, the coefficient of decrease in their walking speed is r. h (φ), then its walking speed V1 is:

[0039] V1 = V0·r h (φ) (6)

[0040] When a person walks on path L2, it is equivalent to the ship tilting at an angle φ. Therefore, the magnitude of the speed reduction coefficient is r. t (φ), its walking speed V2 is:

[0041] V2=V0·r t (φ) (7)

[0042] Walking speed of a person walking on path L This can be equivalently represented as the synthesis of the projection V1cosθ of velocity V1 along L, which is only affected by the lateral tilt angle φ, and the projection V2sinθ of velocity V2 along L, which is only affected by the longitudinal tilt angle φ, i.e.:

[0043]

[0044] Substituting equations (6) and (7) into equation (8), we can calculate the walking speed of a person walking along any path with an angle θ to the positive direction of the PX axis. as follows:

[0045]

[0046] Calculation speed The rate after decay

[0047] Will Project onto the PX and PY axes, then multiply by the walking speed attenuation coefficient r corresponding to the PX and PY axes. h (φ) and r t (φ) gives the magnitude of the corresponding component velocity. and Take the sum of the squares of the magnitudes of these two velocity components as... The square of the modulus is the decayed velocity. The size can be calculated using the following formula:

[0048]

[0049] The attenuation coefficient of walking speed for any person reaching the exit along the shortest path when the ship is listing is obtained:

[0050]

[0051] S3. Calculate the velocity attenuation coefficient of passengers walking in any direction when the passenger ship (ship) is trimmed:

[0052] S31, The passenger ship is at a certain angle Pitch:

[0053] When a person walks along path L1, the coefficient of decrease in their walking speed is: Then its walking speed V3 is:

[0054]

[0055] When people walk on path L2, it is equivalent to the ship changing angle. If the longitudinal tilt is such that the walking speed attenuation coefficient is... Its walking speed V4 is:

[0056]

[0057] Walking speed of a person walking on path L It can be equivalently considered to be affected only by the pitch angle. The velocity V3 affected by the projection V3cosθ along L and only affected by the pitch angle The resulting velocity V4 is the sum of the projections V4sinθ along L, i.e.:

[0058]

[0059] Substituting equations (14) and (15) into equation (16) yields the walking speed of a person walking along any path with an angle θ to the positive direction of the PX axis. as follows:

[0060]

[0061] Calculation speed The rate after decay

[0062] Will Project onto the PX and PY axes, then multiply by the walking speed attenuation coefficients corresponding to the PX and PY axes. and The corresponding component velocity magnitude can then be obtained. and Take the sum of the squares of the magnitudes of these two velocity components as... The square of the modulus is the decayed velocity. The size can be calculated using the following formula:

[0063]

[0064] The method for calculating the velocity attenuation coefficient when a person walks along an arbitrary path with an angle θ to the positive direction of the PX axis is as follows:

[0065]

[0066] S4. A specific heel angle φ or pitch angle of a passenger ship. The velocity attenuation coefficient r along the shortest path (in any direction) when any person reaches the exit. I(θ) is calculated by the following formula:

[0067]

[0068] In the formula, The calculations are performed according to the corresponding floating states of the passenger ships using equations (11) and (17), respectively.

[0069] The beneficial effects achieved by this invention are as follows:

[0070] The calculation method of this invention is theoretically reliable, conceptually clear, and easy to implement. It can be used to calculate the walking speed of ship evacuees in any direction when the ship is tilted, thereby providing reasonable basic data for calculating the evacuation time of ship personnel, rationally planning the evacuation route and escape exit. Attached Figure Description

[0071] Figure 1 This is a schematic diagram of the movement of the experimental subjects in a personnel evacuation experiment.

[0072] Figure 2 This is a diagram showing the direction of movement for people when the ship is tilting.

[0073] Figure 3 This is a diagram showing the possible directions of movement for people when the ship is tilted.

[0074] Figure 4 This is a schematic diagram of the spatial personnel coordinate system of the present invention.

[0075] Figure 5 This is a schematic diagram showing the positive and negative values ​​of θ in this invention.

[0076] Figure 6 This is a schematic diagram of different personnel walking scenarios when the ship is listing.

[0077] Figure 7 This is the equivalent path for personnel walking in any direction when tilting laterally, according to the present invention.

[0078] Figure 8 This is a schematic diagram of different personnel walking scenarios when the ship tilts according to the present invention.

[0079] Figure 9 This is the equivalent path for personnel walking in any direction when tilting. Detailed Implementation

[0080] To facilitate understanding of the present invention by those skilled in the art, specific embodiments of the present invention will be described below with reference to the accompanying drawings.

[0081] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0082] In the description of this application, it should be noted that the terms "center", "upper", "lower", "left", "right", "vertical", "horizontal", "inner", "outer", etc., indicate the orientation or positional relationship based on the orientation or positional relationship shown in the accompanying drawings. They are only for the convenience of describing the present invention and simplifying the description, and do not indicate or imply that the device or element referred to must have a specific orientation, or be constructed and operated in a specific orientation. Therefore, they should not be construed as limiting the present invention.

[0083] Unless otherwise defined, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention pertains. The terminology used in this specification is for the purpose of describing particular embodiments only and is not intended to be limiting of the invention. The term "or / and" as used herein includes any and all combinations of one or more of the associated listed items.

[0084] like Figures 1-9 As shown, this invention provides a method for calculating the speed attenuation coefficient of personnel walking in any direction when the ship is tilted, including the following steps:

[0085] S1. Establishment of the coordinate system and regulations on personnel walking direction;

[0086] Since people will instinctively walk towards the exit during evacuation, the direction in which people walk during evacuation can be defined by the relative position of the person's current position and the exit position.

[0087] Now define a spatial personnel coordinate system P-XYZ, such as Figure 4 As shown, a spatial coordinate system is illustrated. The following description will be based on this coordinate system to illustrate the relative position of the personnel's current position and the exit.

[0088] Figure 4 The directions of each axis and the position of the origin of the personnel coordinate system specified in the document are as follows: Point P is the personnel's current footing on the deck; the positive direction of the PX axis points towards the bow; the positive direction of the PY axis points towards the port side; the positive direction of the PZ axis is perpendicular to the PXY plane and passes through point P.

[0089] In practice, it's rare for the exit location to be exactly on the PX or PY axis of the personnel coordinate system. More commonly, the direction of movement makes an angle θ (-π ≤ θ ≤ π) with the positive direction of the PX axis in the personnel coordinate system. The positive and negative directions of angle θ are defined as follows: if the positive direction of the PX axis is rotated to coincide with the direction of the personnel's walking speed, clockwise rotation is positive, and counterclockwise rotation is negative. See [reference needed]. Figure 5 .

[0090] The formula for calculating the size of the included angle θ is:

[0091]

[0092] In the formula, x E y E x0 and y0 are the x and y coordinates of the exit location, respectively; x0 and y0 are the x and y coordinates of the personnel's current location, respectively.

[0093] S2, the speed attenuation coefficient of passengers walking in any direction when the passenger ship is tilting;

[0094] like Figure 6 As shown, schematic diagrams of different walking scenarios are listed, in which... Figure 6 (a) indicates that the direction of travel coincides with the PX axis. Figure 6 (b) The direction of travel coincides with the PY axis. Figure 6 (c) means walking in any direction.

[0095] When the passenger ship is listing, the scene depicting the direction of movement for passengers can be arranged in the following order: Figure 6 (a) and (b) special cases Figure 6 (c) General cases will be discussed separately.

[0096] To further illustrate, let's take a passenger ship tilting to the right at a certain angle φ as an example:

[0097] like Figure 6 As shown in (a), when the passenger ship is tilted to the right at a certain angle φ, the direction of the person's velocity when walking along the shortest path towards the exit coincides with the positive half-axis of the PX axis. During this journey, the person constantly feels that the port deck is higher than the starboard deck. This corresponds to the scenario in the ship simulator experiment where the experimental setup simulates the passenger ship tilting to the right at an angle φ. If the person expends the same amount of effort as when walking freely at speed V0 on a flat deck along this path, the velocity attenuation coefficient is r. h (φ), as shown in equation (1), the actual walking speed V of the person can be calculated by the following formula:

[0098] V = V0·r h (φ) (19)

[0099] Figure 6As shown in (b), the scenario where the nearest exit location to a person is on the negative half-axis of the PY axis is presented. Assuming the person walks freely on a flat deck at a speed of V0, when the passenger ship tilts to the right at a certain angle φ, the person's velocity direction coincides with the negative half-axis of the PY axis as they walk along the shortest path towards the exit. During this distance, the person constantly feels that the deck in front of them is lower than the deck behind them, corresponding to the scenario of a passenger ship tilting forward in a ship simulator experiment. At this point, according to equation (2), the speed attenuation coefficient of the person walking along this path is r. t (φ). If the person expends the same amount of effort as when walking freely at speed V0 on a flat deck along this path, the person's actual walking speed V can be accurately calculated by the following formula:

[0100] V = V0·r t (φ) (20)

[0101] like Figure 6 As shown in (c), when a person walks along the shortest path toward the exit, the speed direction forms an arbitrary angle θ with the positive direction of the PX axis. The deck tilt state felt during the walking process is arbitrary, and the walking speed attenuation coefficient cannot be calculated using equations (1) and (2) alone.

[0102] like Figure 7 The diagram shown illustrates the walking path of people. Figure 7 (a) is a schematic diagram of the original path. Figure 7 (b) is a schematic diagram of the equivalent path.

[0103] like Figure 7 As shown in (a), in order to calculate the attenuation coefficient of the person's walking speed in any direction in the above scenario, assume that the person's walking path is L (i.e., the line segment connecting the person's current position and the exit position); this path can be equivalent to:

[0104] L=L1cosθ+L2sinθ (5)

[0105] In the formula, L1 is the projection of L onto the PX axis;

[0106] L2 is the projection of L onto the PY axis.

[0107] The passenger ship is heeling at a certain angle φ:

[0108] When a person walks along path L1, the coefficient of decrease in their walking speed is r. h (φ), then its walking speed V1 is:

[0109] V1 = V0·r h (φ) (6)

[0110] When a person walks on path L2, it is equivalent to the ship tilting at an angle φ. Therefore, the magnitude of the speed reduction coefficient is r. t (φ), its walking speed V2 is:

[0111] V2=V0·r t (φ) (7)

[0112] Walking speed of a person walking on path L This can be equivalently represented as the synthesis of the projection V1cosθ of velocity V1 along L, which is only affected by the lateral tilt angle φ, and the projection V2sinθ of velocity V2 along L, which is only affected by the longitudinal tilt angle φ, i.e.:

[0113]

[0114] Substituting equations (6) and (7) into equation (8), we can calculate the walking speed of a person walking along any path with an angle θ to the positive direction of the PX axis. as follows:

[0115]

[0116] Calculation speed The rate after decay

[0117] Will Project onto the PX and PY axes, then multiply by the walking speed attenuation coefficient r corresponding to the PX and PY axes. h (φ) and r t (φ) gives the magnitude of the corresponding component velocity. and Take the sum of the squares of the magnitudes of these two velocity components as... The square of the modulus is the decayed velocity. The size can be calculated using the following formula:

[0118]

[0119] The attenuation coefficient of walking speed for any person reaching the exit along the shortest path when the ship is listing is obtained:

[0120]

[0121] S3, the velocity attenuation coefficient of personnel walking in any direction when the ship is trimmed;

[0122] like Figure 8 As shown, schematic diagrams of different walking scenarios are listed, in which... Figure 8 (a) indicates that the direction of travel coincides with the PX axis. Figure 8 (b) The direction of travel coincides with the PY axis. Figure 8(c) means walking in any direction.

[0123] When the passenger ship is listing, the scene depicting the direction of movement for passengers can be sequentially arranged as follows: Figure 8 (a) and (b) special cases Figure 8 (c) General cases will be discussed separately.

[0124] The ship at a certain angle To further illustrate this, let's take the example of a passenger ship tilting forward:

[0125] like Figure 8 As shown in (a), when the passenger ship is at a certain angle During a bow tilt, when the person walks along the shortest path towards the exit, their velocity direction coincides with the negative half-axis of the PX axis. During this distance, the person constantly feels that the deck in front of them is lower than the deck behind them. This corresponds to the scenario in a ship simulator experiment simulating a passenger ship bow tilt. If the person expends the same amount of effort walking along this path as they would walking freely at speed V0 on a flat deck, their walking speed attenuation coefficient is... From equation (1), we can see that the actual walking speed V of the person can be calculated by the following formula:

[0126]

[0127] Figure 8 As shown in (b), the scenario is that the nearest exit to a person is on the positive half of the PY axis. Again, assuming the person is walking freely on a flat deck at a speed of V0, when the passenger ship moves at a certain angle... When the ship tilts towards the stern, the person walking along the shortest path towards the exit has their velocity direction coinciding with the positive half-axis of the PY axis. During this journey, the person constantly experiences the port deck being higher than the starboard deck, corresponding to the scenario in a ship simulator experiment where the experimental setup simulates a passenger ship tilting towards the stern. The scenario when the angle is tilted to the right. At this time, according to equation (2), the speed attenuation coefficient of the person walking along this path is... If the person expends the same amount of effort as when walking freely at speed V0 on a flat deck along this path, the person's actual walking speed V can be accurately calculated by the following formula:

[0128]

[0129] like Figure 8 As shown in (c), when a person walks along the shortest path toward the exit, the speed direction forms an arbitrary angle θ with the positive direction of the PY axis. The deck tilt state felt during the walking process is arbitrary, and the walking speed attenuation coefficient cannot be calculated using equations (1) and (2) alone.

[0130] like Figure 9 The diagram shown illustrates the walking path of people. Figure 9 (a) is a schematic diagram of the original path. Figure 9 (b) is a schematic diagram of the equivalent path.

[0131] like Figure 9 As shown in (a), in order to calculate the attenuation coefficient of the person's walking speed in any direction in the above scenario, assume that the person's walking path is L (i.e., the line segment connecting the person's current position and the exit position); this path can be equivalent to:

[0132] L=L1cosθ+L2sinθ (23)

[0133] The passenger ship at a certain angle Pitch:

[0134] When a person walks along path L1, the coefficient of decrease in their walking speed is: Then its walking speed V3 is:

[0135]

[0136] When people walk on path L2, it is equivalent to the ship changing angle. If there is a lateral tilt, then the magnitude of the walking speed attenuation coefficient is... Its walking speed V4 is:

[0137]

[0138] Walking speed of a person walking on path L It can be equivalently considered to be affected only by the pitch angle. The velocity V3 affected by the projection V3cosθ along L and only affected by the lateral tilt angle The resulting velocity V4 is the sum of the projections V4sinθ along L, i.e.:

[0139]

[0140] Substituting equations (14) and (15) into equation (16) yields the walking speed of a person walking along any path with an angle θ to the positive direction of the PX axis. as follows:

[0141]

[0142] Calculation speed The rate after decay

[0143] Will Project onto the PX and PY axes, then multiply by the walking speed attenuation coefficients corresponding to the PX and PY axes. and The corresponding component velocity magnitude can then be obtained. and Take the sum of the squares of the magnitudes of these two velocity components as... The square of the modulus is the decayed velocity. The size can be calculated using the following formula:

[0144]

[0145] The method for calculating the velocity attenuation coefficient when a person walks along an arbitrary path with an angle θ to the positive direction of the PX axis is as follows:

[0146]

[0147] S4. A specific heel angle φ or pitch angle of a passenger ship. The velocity attenuation coefficient r along the shortest path (in any direction) when any person reaches the exit. I (θ) is calculated by the following formula:

[0148]

[0149] In the formula, The calculations are performed according to the corresponding floating states of the passenger ships using equations (11) and (17), respectively.

[0150] This invention provides a method for calculating the speed attenuation coefficient of evacuees walking in any direction when the ship is tilted (heeling or trimming). This calculation method is theoretically reliable, conceptually clear, and easy to implement. It can be used to calculate the walking speed of evacuees on a ship (especially a passenger ship) in any direction when the ship is tilted, thereby providing reasonable basic data for calculating the evacuation time of people on board, rationally planning the evacuation route and escape exit.

[0151] The embodiments of the present invention described above do not constitute a limitation on the scope of protection of the present invention. Any modifications, equivalent substitutions, and improvements made within the spirit and principles of the present invention should be included within the scope of protection of the claims of the present invention.

Claims

1. A method for calculating the velocity attenuation coefficient of personnel walking in any direction when the ship is tilting, characterized in that, Includes the following steps: S1. Establish a coordinate system and define the direction of personnel movement: S11. Define a spatial personnel coordinate system P-XYZ. The directions of each axis and the position of the origin of the personnel coordinate system are as follows: Point P is the personnel's current footing on the deck; the positive direction of the PX axis points towards the bow; the positive direction of the PY axis points towards the port side; the positive direction of the PZ axis is perpendicular to the PXY plane and passes through point P. S12. Describe the relative positional relationship between the current position of the personnel and the exit based on the spatial personnel coordinate system P-XYZ. Define the arbitrary walking direction of the personnel during evacuation based on the relative positional relationship between the current position of the personnel and the exit position. S13. Formula for calculating the angle between the direction of movement of a person and the PX axis in the person's coordinate system: Assume that the direction of the person's walking makes a certain angle θ with the positive direction of the PX axis in the person's coordinate system (-π≤θ≤π); The positive and negative directions of the included angle θ are defined as follows: If the positive direction of the PX axis is rotated to coincide with the direction of the walking speed, rotation in the clockwise direction is positive, and rotation in the counterclockwise direction is negative; The formula for calculating the size of the included angle θ is: In the formula, x E It is the x-coordinate of the location of the exit; y E It is the ordinate of the location of the exit; x0 is the x-coordinate of the person's current location; y0 is the ordinate of the person's current location; S2. Calculate the velocity attenuation coefficient for personnel walking in any direction when the ship is heeling: Assuming the walking path is L, this path can be equivalent to: L=L1 cosθ+L2 sinθ (2) In the formula, L1 is the projection of L onto the PX axis; L2 is the projection of L onto the PY axis; S21. The passenger ship is heeling at a certain angle φ: When a person walks along path L1, the coefficient of decrease in their walking speed is r. h (φ), then its walking speed V1 is: V1=V0·r h (φ) (3) When a person walks on path L2, it is equivalent to the ship tilting at an angle φ. Therefore, the magnitude of the speed reduction coefficient is r. t (φ), its walking speed V2 is: V2=V0·r t (φ) (4) The walking speed V of a person walking on path L I H (θ) can be equivalently represented as the synthesis of the projection V1cosθ of velocity V1 along L, which is only affected by the lateral tilt angle φ, and the projection V2sinθ of velocity V2 along L, which is only affected by the longitudinal tilt angle φ, i.e.: V I H (θ)=V1 cosθ+V2 sinθ (5) Substituting equations (3) and (4) into equation (5), we obtain the walking speed V of a person walking along any path with an angle θ to the positive direction of the PX axis. I H (θ) is as follows: V I H (θ)=r h (φ)V0cosθ+r t (φ)V0sinθ,θ∈[-π,π] (6) Calculation speed The rate after decay V I H (θ) Projected onto the PX and PY axes, then multiplied by the walking speed attenuation coefficient r corresponding to the PX and PY axes. h (φ) and r t (φ) gives the magnitude of the corresponding component velocity. and Take the sum of the squares of the magnitudes of these two velocity components as... The square of the modulus is the decayed velocity. The size can be calculated using the following formula: The attenuation coefficient of walking speed for any person reaching the exit along the shortest path when the ship is listing is obtained: S3. Calculate the velocity attenuation coefficient of passengers walking in any direction when the passenger ship (ship) is trimmed: S31, The passenger ship is at a certain angle Pitch: When a person walks along path L1, the coefficient of decrease in their walking speed is: Then its walking speed V3 is: When people walk on path L2, it is equivalent to the ship changing angle. If the longitudinal tilt is such that the walking speed attenuation coefficient is... Its walking speed V4 is: Walking speed of a person walking on path L It can be equivalently considered to be affected only by the pitch angle. The velocity V3 affected by the projection V3cosθ along L and only affected by the pitch angle The resulting velocity V4 is the sum of the projections V4sinθ along L, i.e.: V I T (θ)=V3 cosθ+V4 sinθ (11) Substituting equations (9) and (10) into equation (11) yields the walking speed of a person walking along any path with an angle θ to the positive direction of the PX axis. as follows: Calculation speed The rate after decay Will Project onto the PX and PY axes, then multiply by the walking speed attenuation coefficients corresponding to the PX and PY axes. and The corresponding component velocity magnitude can then be obtained. and Take the sum of the squares of the magnitudes of these two velocity components as... The square of the modulus is the decayed velocity. The size can be calculated using the following formula: The method for calculating the velocity attenuation coefficient when a person walks along an arbitrary path with an angle θ to the positive direction of the PX axis is as follows: S4. A specific heel angle φ or pitch angle of a passenger ship. The velocity attenuation coefficient r along the shortest path (in any direction) when any person reaches the exit. I (θ) is calculated by the following formula: In the formula, The calculations are performed according to the corresponding floating states of the passenger ships using equations (8) and (14), respectively.

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