1. A digital display altimeter, characterized in that: the device comprises a shell (1), a multi-connected angular displacement sensor (2), a battery assembly (3), a resolving processing module (4), a display module (5), a switch button (6), a plumb type rocker arm (7), a first measuring rocker arm (8) and a second measuring rocker arm (9); the multi-connected angular displacement sensor (2) is fixed in the shell (1); a plumb type rocker arm (7), a first measuring rocker arm (8) and a second measuring rocker arm (9) are coaxially arranged on a rotating shaft of the multi-linkage angular displacement sensor (2), and a battery assembly (3), a resolving processing module (4), a display module (5) and a switch button (6) are respectively installed on the shell (1) to form a complete circuit system.

2. The digital display altimeter of claim 1, wherein: the plumb type rocker arm (7), the first measuring rocker arm (8) and the second measuring rocker arm (9) can freely rotate along a rotating shaft of the multi-connected angular displacement sensor (2).

3. The digital display altimeter of claim 1, wherein: the front ends of the first measuring rocker arm (8) and the second measuring rocker arm (9) are provided with measuring tip ends, and the front end of the plumb type rocker arm (7) is of a plumb structure, so that the plumb type rocker arm (7) is guaranteed to be always vertical downwards.

4. The digital display altimeter of claim 1, wherein: the first measuring rocker arm (8) and the second measuring rocker arm (9) are equal in length.

5. A measuring method of a digital display altimeter is characterized by comprising the following steps:

the lengths of the first measuring rocker arm (8) and the second measuring rocker arm (9) are known, the height difference of two space points is measured, the zero position of the multi-connected angular displacement sensor (2) is set firstly, after the switch button (6) is pressed, the measuring ends of the first measuring rocker arm (8) and the second measuring rocker arm (9) are contacted with two points to be measured, and the plumb bob type rocker arm (7) is kept in a vertical state of free swing, at the moment, three angle values are formed by the first measuring rocker arm (8), the second measuring rocker arm (9) and the plumb bob type rocker arm (7), and the magnitude relation of the three angle values formed by the first measuring rocker arm (8), the second measuring rocker arm (9) and the plumb bob type rocker arm (7) is judged through the resolving processing module (4).

6. A method for measuring a digital differential altimeter according to claim 5, characterized in that it is decided to select a calculation formula if the angle value of the plumb rocker (7) is between the angle values of the first measuring rocker (8) and the second measuring rocker (9),

setting points b and e as two points needing to measure the height difference, wherein the point a is the central point of a rotating shaft of the multi-connected angular displacement sensor (2), ag is a reference zero position arranged by the multi-connected angular displacement sensor (2), ae is the length ab of the first measuring rocker arm (8) and the length of the second measuring rocker arm (9), bc is the height difference of the points b and e, ad is the extension line of the plumb type rocker arm (7), wherein the point d is the intersection point of the extension line of the plumb type rocker arm (7) and ce, f is the intersection point of the extension line of the plumb type rocker arm (7) and the connecting line of the two points b and e, alpha 1 is the rotating angle of the first measuring rocker arm (8), alpha 3 is the rotating angle of the second measuring rocker arm (9), alpha 2 is the rotating angle of the plumb type rocker arm (7), alpha 4 is the included angle ab and af, alpha 5 is the included angle aea and af, alpha 6 is the line ab and ae, alpha 7 is the included angle ba and be the included angle fb and be b, alpha 8 is the included angle of the line ae, and be the included angle of the line ab and be, The included angle fa, alpha 9 is the included angle ea, ef, alpha 10 is the included angle fd, fe, alpha 11 is the included angle ed, ef, alpha 12 is the included angle da, de and is a right angle, alpha 13 is the included angle ce, cb and is a right angle;

the triangle Δ abe, ab, ae are known to be two-sided long and ab ═ ae, the angle α is known₁、α₂、α₃，

When alpha is₃>α₂>α₁Then, it can be known that:

α₄＝α₃-α₂

α₅＝α₂-α₁

α₆＝α₃-α₁

α₁₂＝α₁₃＝90

triangle Δ abe is given by the cosine theorem: be²＝ae²+ab²-2(ae×ab)cosα₆①

Obtained by the Zhengxuan theorem:

from (i) to (ii) obtain an angle alpha₉、α₇And line be

From triangle Δ abf, triangle interior angle sum → α₈＝180°-α₄-α₇

And (3) pushing out: → bf ═ ab x sin α₄)/sinα₈Get bf

Therefore, the method comprises the following steps: fe ═ be-bf

From the triangle Δ ade, get α₁₁＝90°-α₅-α₉

From triangle Δ fde, trigonometric function

Since triangles Δ bce and Δ fde are similar triangles, then:

7. a method of measurement of a digital display altimeter according to claim 5, characterized in that if the angle values of the plumb-bob-type rocker (7) are smaller than the angle values of the first measuring rocker (8) and the second measuring rocker (9),

setting b and e points as two points needing to measure the height difference, a point as the central point of a rotating shaft of the multi-connected angular displacement sensor (2), ag as a reference zero position arranged by the multi-connected angular displacement sensor (2), ae as the length ab of the first measuring rocker arm (8) as the length of the second measuring rocker arm (9), bc as the height difference of b and e points, ad as the extension line of the plumb type rocker arm (7), d as the intersection point of the extension line of the plumb type rocker arm (7) and ce, beta 1 as the rotation angle of the first measuring rocker arm (8), beta 3 as the rotation angle of the second measuring rocker arm (9), beta 2 as the rotation angle of the plumb type rocker arm (7), beta 4 as the included angle of line ae and ad, beta 5 as the included angle of line ab and ae, beta 6 as the included angle of line ba and be, beta 7 as the included angle of line eb and ea, beta 9 as line da and de and as a right angle, beta 10 as the included angle of line cd and cb and a right angle, beta 11 is the included angle of the line ed and ea, beta 12 is the included angle of the line ec and eb;

the triangle Δ abe, ab, ae is known to be long on both sides and ab ═ ae, the angle β is known₁、β₂、β₃，

When beta is₃＞β₁＞β₂Then, it can be known that:

β₄＝β₁-β₂

β₅＝β₃-β₁

β₈＝β₉＝β₁₀＝90°

triangle Δ abe is given by the cosine theorem: be²＝ab²+ae²-2(ae×ab)cosβ₅①

Obtained by the Zhengxuan theorem:

from (i) to (ii) obtain an angle beta₆、β₇And line be

From triangle Δ ade, triangle interior angle sum → β₁₁＝180°-β₄-β₉→β₁₂＝180°-β₇-β₁₁

From triangle Δ bce, trigonometric function bc is besin β₁₂→ de bc.

8. A method of measurement of a digital display altimeter according to claim 5, characterized in that if the angle value of the plumb-bob-type rocker (7) is greater than the angle values of the first measuring rocker (8) and the second measuring rocker (9),

setting b and e points as two points needing to measure the height difference, a point as the central point of a rotating shaft of the multi-connected angular displacement sensor (2), ag as a reference zero position arranged by the multi-connected angular displacement sensor (2), ae as the length of a first measuring rocker arm (8), ab as the length of a second measuring rocker arm (9), ec as the height difference of b and e points, ad as the extension line of the plumb type rocker arm (7), d as the intersection point of the extension line of the plumb type rocker arm (7) and cb, delta 1 as the rotation angle of the first measuring rocker arm (8), delta 3 as the rotation angle of the second measuring rocker arm (9), delta 2 as the rotation angle of the plumb type rocker arm (7), delta 4 as the line ae and ab included angles, delta 5 as the line ab and the ad included angles, delta 6 as the line ea and eb included angles, delta 7 as the line ba and be included angles, delta 8 as the line be and be, bc, delta 9 as the line ba and bd included angles, and delta 10 as the cd included angles, The included angle ce is a right angle, and the included angle delta 11 is a right angle formed by the lines da and dc;

the triangle Δ abe, ab, ae is known to be long on both sides and ab ═ ae, the angle δ is known₁、δ₂、δ₃，

When delta₂＞δ₁＞δ₃Then, it can be known that:

δ₄＝δ₃-δ₁

δ₅＝δ₂-δ₃

δ₁₀＝δ₁₁＝90°

triangle Δ abe is given by the cosine theorem: be²＝ab²+ae²-2(ae×ab)cosδ₄①

Obtained by the Zhengxuan theorem:

from (i) to (ii) obtain the angle delta₆、δ₇And line be

From triangle Δ adb, triangle interior angle sum → δ₉＝180°-δ₅-δ₁₁→δ₈＝180°-δ₇-δ₉

From triangle Δ bce, trigonometric function ec ═ bc sin δ₈→ dec

The height difference between the two points is displayed on a display module (5) after being resolved by a resolving processing module (4).

Background

The relative height difference of two points is often required to be measured in the aircraft manufacturing field, the engineering field and the industrial field, the ruler is mostly used manually for measurement, the error of the method is large and is not in accordance with the requirement of high precision in the aviation manufacturing field, and if the laser tracking instrument is used for measurement, the method is high in cost, complex in operation, large in space, time-consuming and labor-consuming in use, and not beneficial to wide application, and the operation is required by professional personnel.

Disclosure of Invention

The invention overcomes the defects in the prior art and provides a method for directly reading the height difference between two points by acquiring the angle through an angular displacement sensor and calculating the trigonometric function.

Technical scheme

A digital display type altimeter comprises a shell 1, a multi-connected angular displacement sensor 2, a battery pack 3, a resolving processing module 4, a display module 5, a switch button 6, a plumb type rocker arm 7, a first measuring rocker arm 8 and a second measuring rocker arm 9;

the multi-connected angular displacement sensor 2 is fixed in the shell 1; a lead hammer type rocker arm 7, a first measuring rocker arm 8 and a second measuring rocker arm 9 are coaxially arranged on a rotating shaft of the multi-connected angular displacement sensor 2, and a battery assembly 3, a resolving processing module 4, a display module 5 and a switch button 6 are respectively arranged on the shell 1 to form a complete circuit system.

The plumb bob type rocker arm 7, the first measuring rocker arm 8 and the second measuring rocker arm 9 can freely rotate along the rotating shaft of the multi-angular displacement sensor 2.

The front ends of the first measuring rocker arm 8 and the second measuring rocker arm 9 are provided with measuring tip ends, and the front end of the plumb bob type rocker arm 7 is of a plumb bob structure, so that the plumb bob type rocker arm 7 is ensured to be vertically downward all the time.

The first measuring rocker arm 8 and the second measuring rocker arm 9 are equal in length.

A measuring method of a digital display altimeter comprises the following steps:

the lengths of the first measuring rocker arm 8 and the second measuring rocker arm 9 are known, the height difference of two space points is measured, zero positions of the multi-connected angular displacement sensor 2 are set firstly, after the switch button 6 is pressed, the measuring ends of the first measuring rocker arm 8 and the second measuring rocker arm 9 are contacted with two points to be measured, the plumb type rocker arm 7 is kept in a vertical state of free swing, at the moment, three angle values are formed by the first measuring rocker arm 8, the second measuring rocker arm 9 and the plumb type rocker arm 7, and the size relation of the three angle values formed by the first measuring rocker arm 8, the second measuring rocker arm 9 and the plumb type rocker arm 7 is judged through the resolving processing module 4.

A calculation formula is determined, namely if the angle value of the plumb type rocker arm 7 is between the angle values of the first measuring rocker arm 8 and the second measuring rocker arm 9,

then, a calculation formula shown in fig. 2 is selected, where points b and e are two points to be measured for height difference, point a is a central point of a rotating shaft of the multiple angular displacement sensor, ag is a reference zero position set by the multiple angular displacement sensor 2, ae is a length ab of the first measuring rocker arm 8 and a length of the second measuring rocker arm 9, bc is a height difference between points b and e, ad is an extension line of the plumb-type rocker arm 7, point d is an intersection point of the extension line of the plumb-type rocker arm 7 and ce, f is an intersection point of a connecting line of the extension line of the plumb-type rocker arm 7 and the two points b and e, α 1 is a rotation angle of the first measuring rocker arm 8, α 3 is a rotation angle of the second measuring rocker arm 9, α 2 is a rotation angle of the plumb-type rocker arm 7, α 4 is an angle ab and af, α 5 is an angle ae and af, α 6 is an angle ab and ae, α 7 is an angle ba and be b, α 8 is an angle fb and fa, α 9 is an angle ea, fa, and α 9 is an angle ea, and ea, respectively, And the included angle ef, alpha 10 is the included angle fd and fe, alpha 11 is the included angle ed and ef, alpha 12 is the included angle da and de and is a right angle, and alpha 13 is the included angle ce and cb and is a right angle.

The triangle Δ abe, ab, ae are known to be two-sided long and ab ═ ae, the angle α is known₁、α₂、α₃，

When alpha is₃>α₂>α₁From fig. 2, it can be seen that:

α₄＝α₃-α₂

α₅＝α₂-α₁

α₆＝α₃-α₁

α₁₂＝α₁₃＝90°

triangle Δ abe is given by the mysterious theorem: be²＝ae²+ab²-2(ae×ab)cosα₆ ①

Obtained by the Zhengxuan theorem:

from (i) to (ii) obtain an angle alpha₉、α₇And line be

From triangle Δ abf, triangle interior angle sum → α₈＝180°-α₄-α₇

By

And (3) pushing out: → bf ═ ab x sin α₄)/sinα₈Get bf

Therefore, the method comprises the following steps: fe ═ be-bf

From triangle Δ ade, get α₁₁＝90°-α₅-α₉

From the triangle a fde of the shape of the triangle,

since triangles Δ bce and Δ fde are similar triangles, we can:

if the angle values of the plumb type rocker arms 7 are smaller than the angle values of the first measuring rocker arm 8 and the second measuring rocker arm 9, calculating by selecting a calculation formula shown in the figure 3;

wherein points b and e are two points needing to measure the height difference, point a is the central point of the rotating shaft of the multi-connected angular displacement sensor, ag is the reference zero position set by the multi-connected angular displacement sensor 2, ae is the length ab of the first measuring rocker arm 8 is the length of the second measuring rocker arm 9, bc is the height difference of the points b and e, ad is the extension line of the plumb bob type rocker arm 7, the d point is the intersection point of the extension line of the plumb type rocker arm 7 and the ce, beta 1 is the rotation angle of the first measuring rocker arm 8, beta 3 is the rotation angle of the second measuring rocker arm 9, beta 2 is the rotation angle of the plumb type rocker arm 7, beta 4 is the included angle of the lines ae and ad, beta 5 is the included angle of the lines ab and ae, beta 6 is the included angle of the lines ba and be, beta 7 is the included angle of the lines eb and ea, beta 9 is the included angle of the lines da and de and is a right angle, beta 10 is the included angle of the lines cd and cb and is a right angle, beta 11 is the included angle of the lines ed and ea, and beta 12 is the included angle of the lines ec and eb.

The triangle Δ abe, ab, ae are known to be bilaterally long and ab ═ ae, alreadyAngle of incidence beta₁、β₂、β₃，

When beta is₃>β₁>β₂From fig. 3, it can be seen that:

β₄＝β₁-β₂

β₅＝β₃-β₁

β₈＝β₉＝β₁₀＝90°

triangle Δ abe is given by the mysterious theorem: be²＝ab²+ae²-2(ae×ab)cosβ₅ ①

Obtained by the Zhengxuan theorem:

from (i) to (ii) obtain an angle beta₆、β₇And line be

From triangle Δ ade, triangle interior angle sum → β₁₁＝180°-β₄-β₉→β₁₂＝180°-β₇-β₁₁

From triangle delta bce, trigonometric function bc is besin beta₁₂→ De bc

If the angle value of the plumb type rocker arm 7 is larger than the angle values of the first measuring rocker arm 8 and the second measuring rocker arm 9, calculating by selecting a calculation formula shown in the figure 4;

wherein, the points b and e are two points needing to measure the height difference, the point a is the central point of the rotating shaft of the multi-connected angular displacement sensor, ag is the reference zero position set by the multi-connected angular displacement sensor 2, ae is the length of the first measuring rocker arm 8, ab is the length of the second measuring rocker arm 9, ec is the height difference of the points b and e, ad is the extension line of the plumb type rocker arm 7, the d point is the intersection point of the extension line of the plumb type rocker arm 7 and the cb, the delta 1 is the rotation angle of the first measuring rocker arm 8, the delta 3 is the rotation angle of the second measuring rocker arm 9, the delta 2 is the rotation angle of the plumb type rocker arm 7, the delta 4 is the included angle of the lines ae and ab, the delta 5 is the included angle of the lines ab and ad, the delta 6 is the included angle of the lines ea and eb, the delta 7 is the included angle of the lines ba and be, the delta 8 is the included angle of the lines be and be, the delta 9 is the included angle of the lines ba and bd, the delta 10 is the included angle of the lines cd and ce and is a right angle, and the delta 11 is the included angle of the lines da and dc and is a right angle.

The triangle Δ abe, ab, ae are known to be long on both sides and ab ═ ae, the angle δ is known₁、δ₂、δ₃，

When delta₂>δ₁>δ₃From fig. 3, it can be seen that:

δ₄＝δ₃-δ₁

δ₅＝δ₂-δ₃

δ₁₀＝δ₁₁＝90°

triangle Δ abe is given by the mysterious theorem: be²＝ab²+ae²-2(ae×ab)cosδ₄ ①

Obtained by the Zhengxuan theorem:

from (i) to (ii) obtain the angle delta₆、δ₇And line be

From triangle Δ adb, triangle interior angle sum → δ₉＝180°-δ₅-δ₁₁→δ₈＝180°-δ₇-δ₉

From triangle Δ bce, trigonometric function ec ═ bcsin δ₈→ dec

And the height difference between the two points is displayed on a display module 5 after being calculated by the calculation processing module 4.

Technical effects

Compared with the prior art, the invention has the following beneficial effects (advantages):

1. the angle is measured through the angular displacement sensor, the trigonometric function is calculated, the display module displays the height difference value which is directly read, the measurement precision is high, and the efficiency is high;

2. the application method is simple, the operation is convenient, and the cost is lower;

3. the invention has small volume and low requirement on the use space, and is suitable for various scenes and spaces.

Drawings

FIG. 1 is a general schematic;

FIG. 2 is a schematic diagram of the measurement in a first state;

FIG. 3 is a schematic diagram of measurement in a second state;

fig. 4 is a measurement schematic diagram in a third state.

Detailed Description

The invention is described in further detail below with reference to the following detailed description and accompanying drawings: (the lengths of the first measuring rocker arm 8 and the second measuring rocker arm 9 are known) measuring the height difference of two space points, such as the height difference of two points b and c, firstly setting the zero position (i.e. ag) of the multi-gang angular displacement sensor 2, pressing the switch button 6, contacting a plurality of first measuring rocker arm measuring ends with the point b or c, contacting a second measuring rocker arm measuring end with the point c or b, and keeping the plumb type rocker arm 7 in the vertical state of free swing, at the moment, the first measuring rocker arm 8, the second measuring rocker arm 9 and the plumb type rocker arm 7 of the multi-gang angular displacement sensor 2 form three angle values, judging the magnitude relation of the three angle values formed by the first measuring rocker arm 8, the second measuring rocker arm 9 and the plumb type rocker arm 7 through the resolving processing module 4, judging and selecting a resolving formula, namely, if the angle value of the plumb type rocker arm 7 is between the angle values of the first measuring rocker arm 8 and the second measuring rocker arm 9, selecting a resolving formula of the figure 2 for calculation; if the angle values of the plumb type rocker arms 7 are smaller than the angle values of the first measuring rocker arm 8 and the second measuring rocker arm 9, calculating by selecting a calculation formula shown in the figure 3; if the angle value of the plumb type rocker arm 7 is larger than the angle values of the first measuring rocker arm 8 and the second measuring rocker arm 9, calculating by selecting a calculation formula shown in the figure 4; the height difference between the two points (b, e) is displayed on the display module 5 after being calculated by the calculation processing module 4.

The measuring method comprises the following steps:

the lengths of the first measuring rocker arm 8 and the second measuring rocker arm 9 are known, the height difference of two space points is measured, zero positions of the multi-connected angular displacement sensor 2 are set firstly, after the switch button 6 is pressed, the measuring ends of the first measuring rocker arm 8 and the second measuring rocker arm 9 are contacted with two points to be measured, the plumb type rocker arm 7 is kept in a vertical state of free swing, at the moment, three angle values are formed by the first measuring rocker arm 8, the second measuring rocker arm 9 and the plumb type rocker arm 7, and the size relation of the three angle values formed by the first measuring rocker arm 8, the second measuring rocker arm 9 and the plumb type rocker arm 7 is judged through the resolving processing module 4.

A calculation formula is determined, namely if the angle value of the plumb type rocker arm 7 is between the angle values of the first measuring rocker arm 8 and the second measuring rocker arm 9,

then, a calculation formula shown in fig. 2 is selected, where points b and e are two points to be measured for height difference, point a is a central point of a rotating shaft of the multiple angular displacement sensor, ag is a reference zero position set by the multiple angular displacement sensor 2, ae is a length ab of the first measuring rocker arm 8 and a length of the second measuring rocker arm 9, bc is a height difference between points b and e, ad is an extension line of the plumb-type rocker arm 7, point d is an intersection point of the extension line of the plumb-type rocker arm 7 and ce, f is an intersection point of a connecting line of the extension line of the plumb-type rocker arm 7 and the two points b and e, α 1 is a rotation angle of the first measuring rocker arm 8, α 3 is a rotation angle of the second measuring rocker arm 9, α 2 is a rotation angle of the plumb-type rocker arm 7, α 4 is an angle ab and af, α 5 is an angle ae and af, α 6 is an angle ab and ae, α 7 is an angle ba and be b, α 8 is an angle fb and fa, α 9 is an angle ea, fa, and α 9 is an angle ea, and ea, respectively, And the included angle ef, alpha 10 is the included angle fd and fe, alpha 11 is the included angle ed and ef, alpha 12 is the included angle da and de and is a right angle, and alpha 13 is the included angle ce and cb and is a right angle.

The triangle Δ abe, ab, ae are known to be two-sided long and ab ═ ae, the angle α is known₁、α₂、α₃，

When alpha is₃>α₂>α₁From fig. 2, it can be seen that:

α₄＝α₃-α₂

α₅＝α₂-α₁

α₆＝α₃-α₁

α₁₂＝α₁₃＝90°

triangle Δ abe is given by the mysterious theorem: be²＝ae²+ab²-2(ae×ab)cosα₆ ①

Obtained by the Zhengxuan theorem:

is prepared fromAngle alpha is obtained₉、α₇And line be

From triangle Δ abf, triangle interior angle sum → α₈＝180°-α₄-α₇

By

And (3) pushing out: → bf ═ ab x sin α₄)/sinα₈Get bf

Therefore, the method comprises the following steps: fe ═ be-bf

From triangle Δ ade, get α₁₁＝90°-α₅-α₉

From the triangle a fde of the shape of the triangle,

since triangles Δ bce and Δ fde are similar triangles, we can:

if the angle values of the plumb type rocker arms 7 are smaller than the angle values of the first measuring rocker arm 8 and the second measuring rocker arm 9, calculating by selecting a calculation formula shown in the figure 3; wherein points b and e are two points needing to measure the height difference, point a is the central point of the rotating shaft of the multi-connected angular displacement sensor, ag is the reference zero position set by the multi-connected angular displacement sensor 2, ae is the length ab of the first measuring rocker arm 8 is the length of the second measuring rocker arm 9, bc is the height difference of the points b and e, ad is the extension line of the plumb bob type rocker arm 7, the d point is the intersection point of the extension line of the plumb type rocker arm 7 and the ce, beta 1 is the rotation angle of the first measuring rocker arm 8, beta 3 is the rotation angle of the second measuring rocker arm 9, beta 2 is the rotation angle of the plumb type rocker arm 7, beta 4 is the included angle of the lines ae and ad, beta 5 is the included angle of the lines ab and ae, beta 6 is the included angle of the lines ba and be, beta 7 is the included angle of the lines eb and ea, beta 9 is the included angle of the lines da and de and is a right angle, beta 10 is the included angle of the lines cd and cb and is a right angle, beta 11 is the included angle of the lines ed and ea, and beta 12 is the included angle of the lines ec and eb.

The triangle Δ abe, ab, ae are known to be long on both sides and ab ═ ae, the angle is knownβ₁、β₂、β₃，

When beta is₃>β₁>β₂From fig. 3, it can be seen that:

β₄＝β₁-β₂

β₅＝β₃-β₁

β₈＝β₉＝β₁₀＝90°

triangle Δ abe is given by the mysterious theorem: be²＝ab²+ae²-2(ae×ab)cosβ₅ ①

Obtained by the Zhengxuan theorem:

from (i) to (ii) obtain an angle beta₆、β₇And line be

From triangle Δ ade, triangle interior angle sum → β₁₁＝180°-β₄-β₉→β₁₂＝180°-β₇-β₁₁

From triangle delta bce, trigonometric function bc is besin beta₁₂→ De bc

If the angle value of the plumb type rocker arm 7 is larger than the angle values of the first measuring rocker arm 8 and the second measuring rocker arm 9, calculating by selecting a calculation formula shown in the figure 4;

wherein, the points b and e are two points needing to measure the height difference, the point a is the central point of the rotating shaft of the multi-connected angular displacement sensor, ag is the reference zero position set by the multi-connected angular displacement sensor 2, ae is the length of the first measuring rocker arm 8, ab is the length of the second measuring rocker arm 9, ec is the height difference of the points b and e, ad is the extension line of the plumb type rocker arm 7, the d point is the intersection point of the extension line of the plumb type rocker arm 7 and the cb, the delta 1 is the rotation angle of the first measuring rocker arm 8, the delta 3 is the rotation angle of the second measuring rocker arm 9, the delta 2 is the rotation angle of the plumb type rocker arm 7, the delta 4 is the included angle of the lines ae and ab, the delta 5 is the included angle of the lines ab and ad, the delta 6 is the included angle of the lines ea and eb, the delta 7 is the included angle of the lines ba and be, the delta 8 is the included angle of the lines be and be, the delta 9 is the included angle of the lines ba and bd, the delta 10 is the included angle of the lines cd and ce and is a right angle, and the delta 11 is the included angle of the lines da and dc and is a right angle.

The triangle Δ abe, ab, ae are known to be long on both sides and ab ═ ae, the angle δ is known₁、δ₂、δ₃，

When delta₂>δ₁>δ₃From fig. 3, it can be seen that:

δ₄＝δ₃-δ₁

δ₅＝δ₂-δ₃

δ₁₀＝δ₁₁＝90°

triangle Δ abe is given by the mysterious theorem: be²＝ab²+ae²-2(ae×ab)cosδ₄ ①

Obtained by the Zhengxuan theorem:

from (i) to (ii) obtain the angle delta₆、δ₇And line be

From triangle Δ adb, triangle interior angle sum → δ₉＝180°-δ₅-δ₁₁→δ₈＝180°-δ₇-δ₉

From triangle Δ bce, trigonometric function ec ═ bcsin δ₈→ dec

And the height difference between the two points is displayed on a display module 5 after being calculated by the calculation processing module 4.