CN108654062B - Portable football court sideline planning and display system - Google Patents

Portable football court sideline planning and display system Download PDF

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Publication number
CN108654062B
CN108654062B CN201810470111.7A CN201810470111A CN108654062B CN 108654062 B CN108654062 B CN 108654062B CN 201810470111 A CN201810470111 A CN 201810470111A CN 108654062 B CN108654062 B CN 108654062B
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moving platform
upright post
axis moving
sideline
line laser
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CN108654062A (en
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高慧林
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Chongqing University of Arts and Sciences
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Chongqing University of Arts and Sciences
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    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B71/00Games or sports accessories not covered in groups A63B1/00 - A63B69/00
    • A63B71/06Indicating or scoring devices for games or players, or for other sports activities
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B71/00Games or sports accessories not covered in groups A63B1/00 - A63B69/00
    • A63B71/06Indicating or scoring devices for games or players, or for other sports activities
    • A63B2071/0694Visual indication, e.g. Indicia

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  • General Health & Medical Sciences (AREA)
  • Physical Education & Sports Medicine (AREA)
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Abstract

The invention provides a movable football court sideline planning and displaying system, which comprises a main upright post 1 and an opposite side upright post 2; the main upright column 1 comprises a main upright column body 24, an upper line laser scriber 8, a middle line one-axis moving platform 9, a middle line laser scriber 10, a right side line two-axis moving platform 11, a right side line laser scriber 12, a left side line two-axis moving platform 13, a left side line laser scriber 14, a point laser one-axis moving platform 15, a point laser transmitter 16, an input module 17, a calculation module 18, a main upright column control module 19 and a wireless signal transmitting module 20; the opposite side upright post 2 comprises an opposite side upright post cylinder 25, a lower line laser scriber 21, a wireless signal receiving module 22 and an opposite side upright post control module 23; has the advantages of strong stress, convenient movement, wide application range and the like.

Description

Portable football court sideline planning and display system
Technical Field
The invention relates to an intelligent control system, in particular to a movable football court sideline planning and displaying system.
Background
Under the big environment of national nationwide body-building and vigorously developing campus football, football place space is big, and the football place is not enough to become one of the main problems that the football of present puzzlement china popularizes and develops, in the football, according to participating the personnel number difference, needs the football field of equidimension not, and the diversified distribution of place size is not enough also seriously hinders the development of football motion and the popularization of football.
Disclosure of Invention
The invention aims to provide a movable football court sideline planning and displaying system.
In order to achieve the purpose, the invention provides a movable football court sideline planning and displaying system, which mainly comprises a main upright post and opposite side upright posts;
the main upright column comprises a main upright column body, an upper edge line laser scriber, a middle line one-axis moving platform, a middle line laser scriber, a right edge line two-axis moving platform, a right edge line laser scriber, a left edge line two-axis moving platform, a left edge line laser scriber, a point laser one-axis moving platform, a point laser transmitter, an input module, a calculation module, a main upright column control module and a wireless signal transmitting module;
the upper edge line laser scriber is arranged in the center of the right front of the main upright post body, and the fixed angle is downward; carrying out lineation display on the upper line of the target court;
the middle line one-axis moving platform is arranged on the main upright post body, is right above the upper edge line laser scriber and has the capability of up-down depression angle movement;
the center line laser scribing instrument is arranged on a center line one-axis moving platform and is used for scribing and displaying the center line of the target court;
the right sideline two-axis moving platform and the left sideline two-axis moving platform are arranged on the main upright post body and are positioned right above the center line one-axis moving platform side by side; the device has the capability of moving up and down depression angles and left and right turning angles;
the right sideline laser scribing instrument and the left sideline laser scribing instrument are respectively arranged on the right sideline two-axis moving platform and the left sideline two-axis moving platform to perform scribing display on the right sideline and the left sideline of the target court;
the point laser one-axis moving platform is arranged at the top end of the right front part of the main upright post body and has the capability of up-down depression angle movement;
the point laser transmitter is arranged on a point laser one-axis moving platform and used for displaying the positions of the side-opposite upright columns;
the input module is arranged on the back surface of the main upright post cylinder, has digital input and display functions and inputs the length and the width of a target ball field;
the calculation module is arranged inside the main upright post column body, acquires the length and the width of a target sphere input by the input module, and calculates and inputs the scribing lengths of the upper edge line laser scriber, the middle line laser scriber, the right edge line laser scriber and the left edge line laser scriber, the upper and lower depression angles of the middle line one-axis moving platform and the point laser one-axis moving platform, and the upper and lower depression angles and the left and right rotation angles of the right edge line two-axis moving platform and the left edge line two-axis moving platform;
the main upright post control module is arranged inside a main upright post cylinder and is respectively connected with an upper edge line laser scriber, a middle line one-shaft moving platform, a middle line laser scriber, a right edge line two-shaft moving platform, a right edge line laser scriber, a left edge line two-shaft moving platform, a left edge line laser scriber, a point laser one-shaft moving platform, a point laser transmitter, a calculation module and a wireless signal transmitting module;
the main upright post control module receives the calculation input result of the calculation module and performs scribing display length control on the upper line laser scriber, the middle line laser scriber, the right line laser scriber and the left line laser scriber; controlling the vertical depression angle of the center line one-axis moving platform and the point laser one-axis moving platform; controlling the upper depression angle, the lower depression angle, the left rotation angle and the right rotation angle of the right sideline two-axis moving platform and the left sideline two-axis moving platform;
the main upright post control module controls a point laser transmitter to be lightened;
the wireless signal transmitting module is connected with the main upright post control module and is used for transmitting a wireless signal, and the wireless signal comprises the marking display length of the upper line laser marking instrument;
the opposite side upright post is arranged at a ground lightening position of the point laser transmitter and comprises an opposite side upright post cylinder, a lower line laser scriber, a wireless signal receiving module and an opposite side upright post control module;
the lower line laser scribing instrument is arranged in the center right in front of the upright post bodies on the opposite sides, the fixed angle is downward, and the lower line scribing display of a target court is carried out;
the lower line laser scriber and the upper line laser scriber have the same height and angle;
the wireless signal receiving module is arranged in the opposite side upright post cylinder, receives a wireless signal sent by the wireless signal transmitting module, and obtains the scribing display length of the upper line laser scribing instrument;
and the opposite side upright column control module is connected with the lower edge line laser scriber and the wireless signal receiving module to acquire the scribing display length of the upper edge line laser scriber and control the scribing display length of the lower edge line laser scriber.
Furthermore, the calculation formula of the vertical depression angle of the point laser one-axis mobile platform is as follows:
w0=h0·tan(α)
w1=w+2·w0
Figure BDA0001663072030000021
wherein w is the width of the target football field, h0For the mounting height of the upper line laser scriber, α is the fixed angle formed by the upper line laser scriber and the vertical downward direction of the main upright post column, w1Is a computer masterDistance between upright and opposite side upright, h1Is the mounting height, w, of a point laser one-axis moving platform0For calculating the distance between the main upright post and the upper line of the target court, β is the calculated up-down depression angle.
Furthermore, the calculation formula of the vertical depression angle of the right-side line two-axis moving platform and the left-side line two-axis moving platform is as follows:
Figure BDA0001663072030000022
wherein L is the length of the target football field, h2The two-axis moving platform is arranged at the height of the main upright post body for the right sideline.
Furthermore, a right-side line two-axis moving platform left-right rotation angle calculation formula is as follows:
Figure BDA0001663072030000023
wherein L is the length of the target football field, w is the width of the target football field, and h2Is a right sideline two-axis moving platform arranged at the height of the main upright post body, w0Calculating the distance between the main upright post and the upper line of the target court;
the left and right rotation angles are phi values, and the direction is right.
Furthermore, the left-axis two-axis moving platform has a left-right rotation angle phi and a left-right direction.
Compared with the prior art, the invention provides a movable football court sideline planning and displaying system, which has the advantages of strong adaptability, convenient movement, wide application range and the like, and specifically comprises the following steps: the invention only needs enough space, which solves the limitation that the current field is concentrated in school or gymnasium; meanwhile, the side lines of the football field are drawn and displayed in real time, the limit of one football field and one standard of the current football field is overcome, and football fields with 5 people, 7 people, 11 people and other people can be drawn according to the requirements of the number of the sportsman; the invention is composed of a main upright post and opposite side upright posts, and has the advantages of convenient movement, convenient storage and the like.
Drawings
Fig. 1 is a schematic diagram of a movable football field sideline planning and displaying system.
Fig. 2 is a schematic structural diagram of a pillar, where (a) is a schematic structural diagram of a front surface of a main pillar, (b) is a schematic structural diagram of a back surface of the main pillar, (c) is a schematic structural diagram of a front surface of an opposite-side pillar, and (d) is a schematic structural diagram of a back surface of the opposite-side pillar.
Fig. 3, left and right side line laser scriber left and right rotation angle calculation schematic diagram.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention will be described in further detail with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention. Furthermore, the computational features involved in the various embodiments of the invention described below may be combined with each other only without conflict between each other.
A movable football court sideline planning and display system is shown in figures 1 and 2 and mainly comprises a main upright post 1 and opposite side upright posts 2;
the main upright column 1 comprises a main upright column body 24, an upper line laser scriber 8, a middle line one-axis moving platform 9, a middle line laser scriber 10, a right side line two-axis moving platform 11, a right side line laser scriber 12, a left side line two-axis moving platform 13, a left side line laser scriber 14, a point laser one-axis moving platform 15, a point laser transmitter 16, an input module 17, a calculation module 18, a main upright column control module 19 and a wireless signal transmitting module 20;
the opposite side upright post 2 consists of an opposite side upright post cylinder 25, a lower line laser scriber 21, a wireless signal receiving module 22 and an opposite side upright post control module 23;
the upper sideline laser scriber 8 is arranged in the center right in front of the main upright post column body 24, the fixed angle is downward, and the scribing display of the upper sideline 3 of the target court is carried out;
the center line laser scriber 10 is arranged on a center line one-axis moving platform 9, the center line one-axis moving platform 9 is arranged on a main upright post body 24, and the upper edge line laser scriber 8 is right above the center line one-axis moving platform, has the capability of vertical and vertical depression angle movement and performs the scribing display of the center line 7 of the target court;
the right sideline two-axis moving platform 11 and the left sideline two-axis moving platform 13 are arranged on the main upright post body 24 and are positioned right above the midline one-axis moving platform 9 side by side; the device has the capability of moving up and down depression angles and left and right turning angles;
the right sideline laser scribing instrument 12 and the left sideline laser scribing instrument 14 are respectively arranged on the right sideline two-axis moving platform 11 and the left sideline two-axis moving platform 13 to perform scribing display on the right sideline 6 and the left sideline 5 of the target court;
the point laser emitter 16 is arranged on a point laser one-axis moving platform 15 for displaying the position of the side-opposite upright post 2, wherein the point laser one-axis moving platform 15 is arranged at the top end right in front of a main upright post body 24 and has the capability of up-down depression angle movement;
the input module 17 is arranged on the back of the main upright post body 24, has the functions of digital input and display, and inputs the length and the width of a target ball field;
the calculation module 18 is installed inside the main upright post body 24, obtains the length and width of the target sphere input by the input module 17, calculates and inputs the scribing lengths of the upper edge line laser scribing instrument 8, the middle line laser scribing instrument 10, the right edge line laser scribing instrument 12 and the left edge line laser scribing instrument 14, the vertical depression angles of the middle line one-shaft moving platform 9 and the point laser one-shaft moving platform 15, and the vertical depression angles and the left and right rotation angles of the right edge line two-shaft moving platform 11 and the left edge line two-shaft moving platform 13;
the main upright post control module 19 is arranged inside a main upright post cylinder 24 and is respectively connected with the upper line laser scriber 8, the middle line one-axis moving platform 9, the middle line laser scriber 10, the right side line two-axis moving platform 11, the right side line laser scriber 12, the left side line two-axis moving platform 13, the left side line laser scriber 14, the point laser one-axis moving platform 15, the point laser transmitter 16, the calculation module 18 and the wireless signal transmitting module 20; and respectively control according to the input result calculated by the calculation module 18;
the wireless signal transmitting module 20 is connected with the main upright post control module 19 and is used for transmitting wireless signals, and the wireless signals comprise the marking display length of the upper line laser marking instrument 8;
the lower line laser scriber 21 is arranged in the center right in front of the opposite side upright post body 25, the fixed angle is downward, and the lower line 4 of the target court is scribed and displayed; the lower edge line laser scriber 21 ensures the same height and angle with the upper edge line laser scriber 8;
the wireless signal receiving module 22 is arranged inside the opposite side upright post body 25, receives the wireless signal sent by the wireless signal transmitting module 20, and obtains the scribing display length of the upper line laser scribing instrument 8;
the opposite side upright column control module 23 is connected with the lower edge line laser scriber 21 and the wireless signal receiving module 22 to obtain the scribing display length of the upper edge line laser scriber 8 and control the scribing display length of the lower edge line laser scriber 21;
the working steps of the system are as follows:
s001: determining the position of a main upright post 1, and placing the main upright post 1 in a wide area;
s002: acquiring target football court parameters, wherein the target football court parameters including the length and the width of the target football court are acquired by an input module 17 on the back of a main upright post body 24;
s003: calculating parameters, wherein an input module 17 transmits the length and width parameters of a target football field into a calculation module 18, the calculation module 18 calculates and outputs the marking lengths of an upper line laser marking instrument 8, a middle line laser marking instrument 10, a right line laser marking instrument 12 and a left line laser marking instrument 14, the upper and lower depression angles of a middle line one-axis moving platform 9 and a point laser one-axis moving platform 15, and the upper and lower depression angles and the left and right rotation angles of a right line two-axis moving platform 11 and a left line two-axis moving platform 13;
s004: determining the position of the opposite side upright post 2, controlling the point laser one-axis mobile platform 15 to move to the calculated vertical depression angle by a main upright post control module 19 arranged on a main upright post cylinder 24, lightening a point laser emitter 16, and arranging the opposite side upright post 2 at the position where the point laser irradiates the ground; the opposite side upright post 2 is opposite to the main upright post 1;
s005: an upper side line 3 and a middle line 7 are scribed, a main upright post control module 19 arranged on a main upright post cylinder 24 controls an upper side line laser scriber 8 and a middle line laser scriber 10 to perform laser scribing according to the scribing length of the upper side line, the scribing length of the middle line and the vertical depression angle of a middle line one-axis moving platform 9, and controls the middle line one-axis moving platform 9 to move to calculate the vertical depression angle; finishing the marking display of the upper sideline 3 and the central line 7;
s006: marking a left sideline 5 and a right sideline 6, and controlling the right sideline two-axis moving platform 11 and the left sideline two-axis moving platform 13 to move to the calculated vertical depression angle and the calculated left-right rotation angle by a main upright control module 19 arranged on a main upright column body 24; controlling a right side line laser scriber 12 and a left side line laser scriber 14 to perform laser scribing according to the calculated side line length, and finishing scribing display of the left side line 5 and the right side line 6;
s007: the lower side line 4 is scribed, and the main upright post control module 19 arranged on the main upright post cylinder 24 transmits the scribing length of the upper side line laser scribing instrument 8 to the wireless signal transmitting module 20 for wireless signal transmission; the wireless signal receiving module 22 installed inside the side upright post body 25 receives wireless signals, obtains the scribing display length of the upper line laser scribing instrument 8, transmits the wireless signals into the opposite side upright post control module 23 installed inside the side upright post body 25, and controls the lower line laser scribing instrument 21 to perform laser scribing through the opposite side upright post control module 23, so that the scribing display of the lower line 4 is completed.
In the above steps, the calculation formula of the vertical depression angle of the point-laser-axis moving platform 15 is as follows:
w0=h0·tan(α)
w1w+2·w0
Figure BDA0001663072030000041
wherein w is the width of the target football field, h0For the upper edge line laser scriber 8 mounting height, α is the fixed angle between the upper edge line laser scriber 8 and the vertical downward direction of the main upright post column 24, w1For calculating the distance h between the main upright post 1 and the opposite side upright post 21For the point laser one-axis moving platform 15 mounting height, w0For calculating the distance between the main upright post 1 and the upper sideline 3 of the target court, β is the upper and lower depression angles.
The calculation formula of the vertical depression angle of the midline-one-axis mobile platform 9 is as follows:
Figure BDA0001663072030000051
in the formula h2The platform 9 is moved to the mounting height for a centerline axis.
As shown in fig. 3, the vertical and horizontal depression angle calculation formula of the right-side line two-axis moving platform 11 and the left-side line two-axis moving platform 13 is:
Figure BDA0001663072030000052
wherein L is the length of the target football field, h2The two-axis movable platform 11 is arranged at the height of the main upright post body 24 for the right side line.
Regarding the calculation of the left and right rotation angles of the two-axis moving platform 11 on the right sideline, as shown in fig. 3, the line OP is the position of the main upright post cylinder 24, the point P is the position of the main upright post cylinder 24 on the ground, the point O is the position of the two-axis moving platform 11 on the right sideline, the side CD is the right sideline 6, the line OH is the angular ∠ DOC angular bisector of the scribing laser of the laser scribing instrument 12 on the right sideline, the line PH is the projection on the ground, and the obtained left and right rotation angles are ∠ EPH;
as shown in FIG. 3, the angles ∠ EPH and ∠ PHF are obtained for PE// FD, PF// AC;
∠HOF=∠DOF-∠DOH=∠DOF-0.5∠DOC
=∠DOF-0.5(∠DOF-∠COF)
=0.5(∠DOF+∠COF)
Figure BDA0001663072030000053
obtaining:
Figure BDA0001663072030000054
Figure BDA0001663072030000055
therefore:
Figure BDA0001663072030000061
namely:
Figure BDA0001663072030000062
the left and right turning angles are found as follows:
Figure BDA0001663072030000063
the left and right rotation angles of the right sideline two-axis moving platform 11 are phi, and the direction is right; the left two-axis moving platform 13 has a left rotation angle phi and a right rotation angle phi, and the direction is towards the left.
It will be understood by those skilled in the art that the foregoing is only a preferred embodiment of the present invention, and is not intended to limit the invention, and that any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention should be included in the scope of the present invention.

Claims (2)

1. A movable football court sideline planning and display system is characterized in that:
the movable football court sideline planning and displaying system comprises a main upright post (1) and opposite side upright posts (2);
the main upright post (1) comprises a main upright post cylinder (24), an upper line laser scriber (8), a center line one-axis moving platform (9), a center line laser scriber (10), a right side line two-axis moving platform (11), a right side line laser scriber (12), a left side line two-axis moving platform (13), a left side line laser scriber (14), a point laser one-axis moving platform (15), a point laser transmitter (16), an input module (17), a calculation module (18), a main upright post control module (19) and a wireless signal transmitting module (20);
the upper edge line laser scriber (8) is arranged in the center of the front of the main upright post body (24), and the fixed angle is downward; drawing and displaying an upper sideline (3) of the target court;
the center line one-axis moving platform (9) is arranged on a main upright post body (24), is right above the upper edge line laser scriber (8), and has the capability of up-down depression angle movement;
the midline laser scribing instrument (10) is arranged on a midline one-axis mobile platform (9) and is used for scribing and displaying the midline (7) of the target court;
the right sideline two-axis moving platform (11) and the left sideline two-axis moving platform (13) are arranged on the main upright post body (24) and are positioned right above the midline one-axis moving platform (9) side by side; the device has the capability of moving up and down depression angles and left and right turning angles;
the right sideline laser scribing instrument (12) and the left sideline laser scribing instrument (14) are respectively arranged on the right sideline two-axis moving platform (11) and the left sideline two-axis moving platform (13) to perform scribing display on the right sideline (6) and the left sideline (5) of the target court;
the point laser one-axis moving platform (15) is arranged at the top end right in front of the main upright post body (24) and has the capability of up-down depression angle movement;
the point laser emitter (16) is arranged on a point laser one-axis moving platform (15) and displays the position of the upright post (2) at the opposite side;
the input module (17) is arranged on the back surface of the main upright post body (24), has digital input and display functions and is used for inputting the length and the width of a target ball field;
the calculation module (18) is arranged inside the main upright post body (24), the length and the width of a target sphere input by the input module (17) are obtained, the scribing lengths of the upper line laser scriber (8), the middle line laser scriber (10), the right line laser scriber (12) and the left line laser scriber (14) are calculated and input, the upper and lower depression angles of the middle line one-axis moving platform (9) and the point laser one-axis moving platform (15) and the upper and lower depression angles and the left and right rotation angles of the right line two-axis moving platform (11) and the left line two-axis moving platform (13) are calculated and input;
the main upright post control module (19) is arranged inside a main upright post cylinder (24) and is respectively connected with an upper edge line laser scriber (8), a middle line one-axis moving platform (9), a middle line laser scriber (10), a right edge line two-axis moving platform (11), a right edge line laser scriber (12), a left edge line two-axis moving platform (13), a left edge line laser scriber (14), a point laser one-axis moving platform (15), a point laser transmitter (16), a calculation module (18) and a wireless signal transmitting module (20);
the main upright post control module (19) receives the calculation input result of the calculation module (18) and performs scribing display length control on the upper line laser scribing instrument (8), the middle line laser scribing instrument (10), the right line laser scribing instrument (12) and the left line laser scribing instrument (14); controlling the vertical depression angle of the center line one-axis moving platform (9) and the point laser one-axis moving platform (15); controlling the vertical depression angle and the left and right turning angles of the right sideline two-axis moving platform (11) and the left sideline two-axis moving platform (13);
the main upright post control module (19) controls the point laser transmitter (16) to be lightened;
the wireless signal transmitting module (20) is connected with the main upright post control module (19) and is used for transmitting wireless signals, and the wireless signals comprise the marking display length of the upper line laser marking instrument (8);
the opposite side upright post (2) is arranged at a ground lightening position of a point laser transmitter (16) and comprises an opposite side upright post cylinder (25), a lower line laser scriber (21), a wireless signal receiving module (22) and an opposite side upright post control module (23);
the lower line laser scriber (21) is arranged in the center right in front of the opposite side upright post body (25), the fixed angle is downward, and the lower line (4) of the target court is scribed and displayed;
the lower line laser scriber (21) and the upper line laser scriber (8) have the same height and angle;
the wireless signal receiving module (22) is arranged inside the opposite side upright post body (25), receives a wireless signal sent by the wireless signal transmitting module (20), and obtains the scribing display length of the upper line laser scribing instrument (8);
the opposite side upright post control module (23) is connected with the lower edge line laser scriber (21) and the wireless signal receiving module (22) to obtain the scribing display length of the upper edge line laser scriber (8) and control the scribing display length of the lower edge line laser scriber (21);
the calculation formula of the vertical depression angle of the point laser one-axis mobile platform (15) is as follows:
w0=h0·tan(α)
w1=w+2·w0
Figure FDF0000008393190000031
wherein w is the width of the target football field, h0The mounting height of the upper edge line laser scriber (8) is defined, α is defined by the fixed angle formed by the upper edge line laser scriber (8) and the vertical downward direction of the main upright post column (24), w1For calculating the distance h between the main upright post (1) and the opposite upright post (2)1Is the mounting height, w, of a point laser one-axis moving platform (15)0In order to calculate the distance between the main upright post (1) and the upper sideline (3) of the target court, β is the solved up-down depression angle;
the upper and lower depression angle calculation formula of the right side line two-axis moving platform (11) and the left side line two-axis moving platform (13) is as follows:
Figure FDF0000008393190000041
wherein L is the length of the target football field, h2The two-axis moving platform (11) for the right sideline is arranged at the height of a main upright post body (24);
the right sideline two-axis moving platform (11) left and right rotation angle calculation formula is as follows:
Figure FDF0000008393190000042
wherein L is the length of the target football field, w is the width of the target football field, and h2The two-axis movable platform (11) is arranged at the height, w, of a main upright post body (24) for a right sideline0Calculating the distance between the main upright post (1) and the upper sideline (3) of the target court;
the left and right rotation angles are phi values, and the direction is right.
2. The movable soccer pitch sideline planning and display system of claim 1, wherein: the left and right rotation angles of the left sideline two-axis moving platform (13) are phi values, and the direction is towards the left.
CN201810470111.7A 2018-05-16 2018-05-16 Portable football court sideline planning and display system Expired - Fee Related CN108654062B (en)

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