An escalator braking performance test method

Through acceleration tester and mathematical model calculation, the error problem of escalator braking performance measurement is solved, and accurate prediction and safety improvement are achieved under different loads.

CN114291710BActive Publication Date: 2025-07-18SHUNDE BRANCH GUANGDONG INST OF SPECIAL EQUIP INSPECTION & RES
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Patent Information

Application Number
CN202111648405.2
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2021-12-30
Publication Date
2025-07-18
Estimated Expiration
2041-12-30

AI Technical Summary

Technical Problem

When measuring the braking performance of the escalator, the detection results of no-load and part-load are relatively large, and the stopping distance under full load cannot be accurately predicted, which poses safety hazards, and the full load testing process is complicated and dangerous.

Method used

The acceleration tester measures the acceleration of the escalator when it is no load and the acceleration under the action of the brake. Combined with the motor and escalator parameters, the average acceleration and braking distance under any load are calculated using mathematical models to reduce human measurement errors.

Benefits of technology

Accurate prediction of escalators under different loads is achieved, testing accuracy and safety is improved, workload and human errors of full load tests are avoided, and safety is enhanced.

✦ Generated by Eureka AI based on patent content.

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Abstract

The present invention discloses a method for testing the braking performance of an escalator, which relates to the field of escalator performance testing. The solution includes step S1: fixing an acceleration tester on the escalator; step S2: testing a 0、 a1 and P, and calculating the average acceleration a under any load of the escalator and the braking distance S under any load through the established mathematical calculation model. By establishing a test mathematical model, by testing the acceleration a0 generated under the action of the self-system frictional torque of the escalator when it is unloaded and the acceleration a1 generated when it is stopped under the action of the brake, the average acceleration of the escalator under different loads can be predicted and the braking distance under the full load condition can be accurately predicted; the workload of the full load weight test is avoided, the safety level of the escalator is improved, and the accuracy is high.
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Description

Technical Field

[0001] The present invention relates to the field of escalator performance testing, and particularly to a method for testing the braking performance of an escalator. Background Art

[0002] With the development of the social modernization process, escalators are widely used in public places such as shopping malls and subways, and their transportation role is becoming increasingly indispensable.

[0003] However, accidents caused by escalators also occur from time to time, which has attracted the attention of relevant safety inspection departments and the general public.

[0004] The mechanical braking system is the most frequently actuated component during the use of an escalator and determines the safety performance of the escalator.

[0005] To ensure the safety of the escalator, it is necessary to measure the stopping distance of the escalator.

[0006] The braking distance of an escalator is an important parameter of its safety performance. Its mechanical principle is to use the frictional resistance between the brake and the brake shoe and between the various components of the escalator system to consume the inertial energy of all moving components and loads of the escalator, as well as the kinetic energy generated by the gravitational potential energy when the load descends, so that the entire system stops moving within a specified distance.

[0007] Due to limitations in working conditions (such as working hours, working environment, etc.), the current regular inspection of escalators only measures their no-load downward stopping distance. For a loaded escalator, since the gravitational potential energy of the load itself will be converted into kinetic energy during the braking process, its final stopping distance will be greater than that of the no-load case.

[0008] Therefore, there are certain loopholes in using the no-load stopping distance to determine the safety performance of an escalator when transporting passengers, which poses a safety hazard to the escalator.

[0009] Therefore, it is particularly important to predict the stopping distance under full-load conditions by detecting the stopping distance under no-load and partial load.

[0010] Currently, the prior art conducts full-load stopping distance tests by loading the rated load on the escalator. First, the rated load is evenly arranged on the escalator, covering at most 2 / 3 of the steps, and the load is at the upper part of the escalator. After completion, the escalator is started. When the escalator runs to the rated speed, the emergency stop switch is pressed, and at the same time, the stopping distance of the escalator is recorded. It is required that the inspection personnel can master the time point when the emergency stop is pressed. During the operation process, there is a risk of damaging the steps and the building if carelessly operated, which requires high requirements for the inspection personnel. Moreover, the load test requires a large amount of manpower and material resources and consumes a large amount of inspection time.

[0011] In addition, a Chinese patent with the application number "201410014460.X" discloses a method for determining the stopping distance of an escalator or moving walkway. This method measures the no-load stopping distance and the stopping distance under light load through two running tests in the no-load and light-load states, and then the stopping distance of the escalator or moving walkway under the rated load or less can be obtained through a mathematical model.

[0012] However, this testing method uses manual measurement, resulting in a large error in the final result and the accuracy still needs to be improved. Therefore, a testing method for the braking performance of escalators with higher accuracy and greater reference value for practical applications is needed. Summary of the Invention

[0013] To solve the above technical problems, the purpose of the present invention is to provide a testing method for the braking performance of an escalator. By using an acceleration tester to measure the acceleration a0 generated by the escalator under the action of its own system frictional torque when it is no-load and the acceleration a1 generated when it stops under the action of the brake respectively, and then combining the fixed parameters of the motor and the escalator, the average acceleration and braking distance generated by the escalator under any load can be obtained through a derived formula. This testing method has the advantages of accurate measurement and effectively reducing human measurement errors, and is more suitable for practical use.

[0014] To achieve the above invention purpose, the technical solutions adopted by the present invention are as follows:

[0015] A testing method for the braking performance of an escalator includes the following steps:

[0016] Step S1: Fix the acceleration tester on the escalator;

[0017] Step S2: Use the acceleration tester to measure the following parameters:

[0018] a0, which is the acceleration generated by the escalator under the action of its own system frictional torque in the no-load condition, with the unit of m / s 2 ;

[0019] a1, which is the acceleration generated when the escalator stops under the action of the brake in the no-load condition, with the unit of m / s 2 ;

[0020] Use a power meter to measure the parameter P, where P is the power of the motor of the escalator when it is no-load, with the unit of kW;

[0021] Step S3: Calculate the average acceleration a of the escalator under any load and the braking distance S under any load:

[0022]

[0023] The symbols in the above formula are defined as follows:

[0024] m, is the weight of the escalator load, in kg;

[0025] g is the acceleration due to gravity, in m / s 2 , take 9.81m / s 2 ;

[0026] μ, is the system friction coefficient;

[0027] θ, is the inclination angle of the escalator, in degrees;

[0028] v is the linear rated speed of the escalator when it is unloaded, in m / s, provided by the escalator manufacturer;

[0029] n is the speed of the motor at the linear rated speed when the escalator is unloaded, in rpm, and is provided by the escalator manufacturer.

[0030] With such an arrangement, in the mathematical calculation model of the average acceleration a and the braking distance S, it is only necessary to test the acceleration a0 generated by the friction torque of the escalator's own system when it is unloaded and the acceleration a1 generated when the escalator is stopped under the action of the brake when it is unloaded, by using an acceleration tester. P, m, g, μ, θ, v, and n are all known parameters, which can be provided by the manufacturer or obtained according to design requirements. Therefore, through this calculation model, after testing a0 and a1, the calculation formula is used to assign a value to m, and the average acceleration a under any load and the stopping distance S under any load can be obtained.

[0031] Preferably, in step S3, the calculation and derivation process of a is:

[0032] Step S3.1.1: According to the law of rotation of a rigid body with a fixed axis, that is, the total external torque on a rigid body with respect to a fixed axis is equal to the product of the moment of inertia of the rigid body with respect to the fixed axis and the angular acceleration obtained by the rigid body under the action of the total external torque, we can obtain:

[0033] Formula (1): ∑T = α·∑I;

[0034] Where T is torque, in N·m; α is angular acceleration, in rad·s -2 ; I is the moment of inertia, unit is kg·m 2 ;

[0035] Step S3.1.2: Establish the force balance equation of the escalator system:

[0036] Formula (2): T 制 +T 空载-摩擦 +T 负载-摩擦 -T 负载-失衡= α·(I 空载 + I 负载 ));

[0037] Among them, T 制 , is the average braking torque of the escalator's brake, with the unit of N·m; T 空载-摩擦 , is the torque caused by the friction between components such as the step belt and handrail in the escalator system, with the unit of N·m; T 负载-摩擦 , is the frictional torque caused by the dynamic load of the escalator system, with the unit of N·m; T 负载-失衡 , is the unbalanced torque caused by the dynamic load of the escalator system, with the unit of N·m; I 空载 , is the moment of inertia of the escalator system about the rotating shaft when the escalator is unloaded, with the unit of kg·m 2 ; I 负载 , is the moment of inertia of the escalator system about the rotating shaft when the escalator is loaded, with the unit of kg·m 2 ; α is the angular acceleration of the escalator, with the unit of rad·s -2 ;

[0038] Step S3.1.3: The moment of inertia of the escalator load about the rotating shaft is:

[0039] Formula (3):

[0040] Among them, d, is the diameter of the drive sprocket, with the unit of m; r is the effective reduction ratio, which is the product of the gearbox reduction ratio and the transmission chain reduction ratio;

[0041] Step S3.1.4: Deduce T 负载-失衡 :

[0042] Formula (4):

[0043] Step S3.1.5: Deduce T 负载-摩擦 :

[0044] Formula (5):

[0045] Step S3.1.6: Deduce the angular acceleration α:

[0046] From formula (6)

[0047] obtain formula (7):

[0048] Step S3.1.7: From the linear rated speed v of the escalator and the rotational speed n of the motor at the rated speed, deduce the quotient of the drive sprocket radius and the effective reduction ratio:

[0049] Formula (8):

[0050] Taking π as 3.14 and rearranging formula (8), we get:

[0051] Formula (9):

[0052] Step S3.1.8: Substitute formulas (3), (4), (5), and (7) into formula (2) to obtain:

[0053] Formula (10):

[0054] Step S3.1.9: Substitute formula (9) into formula (10) to obtain:

[0055] Formula (11):

[0056] Step S3.1.10: Determine the value of T through the no-load test at the rated speed: 空载-摩擦 The value:

[0057] When the escalator runs without load at the rated speed, the work done by the motor is converted into the internal energy generated by the friction of the escalator system, that is:

[0058] Formula (12): P = ω·T 空载-摩擦 ;

[0059] And formula (13):

[0060] Substitute formula (13) into formula (12) to get:

[0061] Formula (14):

[0062] Step S3.1.11: Determine the value of I through the friction static test: When the mechanical brake of the escalator does not act, the no-load escalator running at the rated speed is braked under its own frictional force, and this motion state provides the equivalent moment of inertia of the no-load escalator system, that is, m = 0, T 空载 = 0, a = a0, and substitute formula (14) into formula (11), and simplify formula (11) to obtain: 制 Formula (16):

[0063]

[0064] Step S3.1.12: Determine T through the no-load stop test 制 制Value: Make the escalator run at the rated speed under no-load condition, and then brake to a stop under the action of the mechanical brake; that is, m = 0, a = a1, and substitute formulas (14) and (16) into formula (11) to obtain:

[0065] Formula (17):

[0066] Substitute formulas (14), (16), and (17) into formula (11) to obtain:

[0067] Formula (18):

[0068] By setting it this way, since is not easily obtained in some cases, and is used to calculate I 负载 , T 负载-失衡 and T 负载-摩擦 which are important parameters, thus introducing step S3.1.7 to deduce Therefore, if it can be directly obtained under circumstances, calculate through formula (10);

[0069] While in circumstances where it cannot be directly obtained, calculate through formula (11), depending on the actual situation encountered during the test.

[0070] Through the above derivation, the average acceleration a of the escalator under any load can be obtained.

[0071] Preferably, in step S3, the calculation and derivation process of S is as follows:

[0072] From the kinematic formula (19):

[0073] On the premise that a and m are known, it can be calculated that:

[0074] Formula (20):

[0075] Through the above derivation, the stopping distance S of the escalator under any load can be obtained.

[0076] Compared with the prior art, the present invention has achieved beneficial technical effects:

[0077] The present invention provides a method for testing the braking performance of an escalator. By establishing a test mathematical model, and measuring the acceleration a0 generated by the escalator under the action of its own system frictional torque when it is unloaded and the acceleration a1 generated during braking under the action of the brake, it is possible not only to predict the average acceleration of the escalator under different loads, but also to accurately predict the stopping distance under full load conditions. This not only avoids the workload of full-load weight testing required by conventional methods and improves the safety of testing. In addition, compared with the existing publicly disclosed patents, this application fully considers the influence of the escalator system friction and uses instruments with higher precision for measurement, reducing the situation where large errors caused by manual measurement lead to inaccurate final results, improving the fit between the test results and actual use, and being beneficial to improving the safety of escalator use. BRIEF DESCRIPTION OF THE DRAWINGS

[0078] Figure 1 is a schematic diagram of the force analysis of the escalator in the embodiment of the present invention.

[0079] Among them, the technical features represented by each reference numeral are as follows:

[0080] 1, escalator; 2, drive sprocket. DETAILED DESCRIPTION OF THE EMBODIMENTS

[0081] In order to make the objectives, technical solutions and advantages of the present invention clearer, the present invention will be further described in detail below with reference to the embodiments. However, the scope of protection required by the present invention is not limited to the specific embodiments described below.

[0082] Embodiment 1

[0083] This embodiment discloses a method for testing the braking performance of an escalator, including the following steps:

[0084] Step S1: Fix the acceleration tester on the escalator 1;

[0085] In this embodiment, the acceleration tester uses the elevator comprehensive tester model EVA-625D of PMT in the market, and the measurement end of the acceleration tester is fixed on the escalator 1 for testing;

[0086] Step S2: Test the following parameters through the acceleration tester:

[0087] a0, which is the acceleration generated by the escalator 1 under the action of its own system frictional torque under no-load conditions, with the unit of m / s 2 ;

[0088] a1, which is the acceleration generated when the escalator 1 stops under the action of the brake under no-load conditions, with the unit of m / s 2 ;

[0089] Test the parameter P with a power meter. P is the power of the motor when the escalator 1 is unloaded, and the unit is kW. In this embodiment, a clamp-on power meter is used as the power meter.

[0090] Step S3: Calculate the average acceleration a under any load of the escalator 1 and the braking distance S under any load:

[0091]

[0092] The definitions of the symbols in the above formula are as follows:

[0093] m is the weight of the load of the escalator 1, and the unit is kg;

[0094] g is the acceleration due to gravity, and the unit is m / s 2 , taking 9.81 m / s 2 ;

[0095] μ is the system friction coefficient, which is determined by a conventional partial load stopping test or provided by the manufacturer;

[0096] θ is the inclination angle of the escalator 1, and the unit is °, usually taking 30°;

[0097] v is the linear rated speed of the escalator 1 when it is unloaded, and the unit is m / s, which is provided by the escalator manufacturer;

[0098] n is the rotational speed of the motor at the linear rated speed when the escalator 1 is unloaded, and the unit is rpm, which is provided by the escalator manufacturer.

[0099] In the said step S3, the calculation and derivation process of a and S is as follows:

[0100] Step S3.1.1: According to the law of fixed-axis rotation of a rigid body, that is, the resultant external torque on a rigid body about a certain fixed axis is equal to the product of the moment of inertia of the rigid body about this fixed axis and the angular acceleration obtained by the rigid body under the action of this resultant external torque. We get:

[0101] Formula (1): ∑T = α·∑I;

[0102] Among them, T is the torque, and the unit is N·m; α is the angular acceleration, and the unit is rad·s -2 ; I is the moment of inertia, and the unit is kg·m 2 ;

[0103] Such as Figure 1As shown in the figure, a force analysis is performed on the escalator 1. The forces acting on the escalator 1 mainly include: the self-weight F1 of the escalator 1, the gravity F2 of the load, the friction force F3 generated by the self-weight of the escalator, the friction force F4 generated by the gravity of the load, and the reaction force F5 of the brake. The braking torque of the escalator 1, the friction torques of various components, and the friction torque caused by the load will all decelerate the escalator, while the imbalance torque of the escalator load will attempt to accelerate the escalator. Under the action of the above forces and torques, the escalator 1 system performs a decelerating motion until it stops.

[0104] Step S3.1.2: According to the rigid body fixed-axis rotation law, establish the force balance equation of the escalator 1 system:

[0105] Formula (2): T 制 +T 空载-摩擦 +T 负载-摩擦 -T 负载-失衡 =α·(I 空载 +I 负载 );

[0106] Among them, T 制 , is the average braking torque of the brake of the escalator 1, with the unit of N·m; T 空载-摩擦 , is the torque caused by the friction between components such as the step belt and handrail in the escalator 1 system, with the unit of N·m; T 负载-摩擦 , is the friction torque caused by the dynamic load of the escalator 1 system, with the unit of N·m; T 负载-失衡 , is the imbalance torque caused by the dynamic load of the escalator 1 system, with the unit of N·m; I 空载 , is the moment of inertia of the escalator 1 system about the rotating shaft when the escalator 1 is unloaded, with the unit of kg·m 2 ; I 负载 , is the moment of inertia of the escalator 1 system about the rotating shaft when the escalator 1 is loaded, with the unit of kg·m 2 ; α is the angular acceleration of the escalator 1, with the unit of rad·s -2 ;

[0107] Step S3.1.3: The moment of inertia of the escalator 1 load about the rotating shaft is:

[0108] Formula (3):

[0109] Among them, d, is the diameter of the drive sprocket 2, with the unit of m; r is the effective reduction ratio, that is, the product of the gearbox reduction ratio and the transmission chain reduction ratio;

[0110] Step S3.1.4: Deduce T 负载-失衡 :

[0111] The unbalanced torque caused by the load of the escalator 1 is: Formula (4):

[0112] Step S3.1.5: Deduce T 负载-摩擦 :

[0113] The frictional torque of the escalator 1 caused by the load is: Formula (5):

[0114] Step S3.1.6: Deduce the angular acceleration α:

[0115] From Formula (6)

[0116] we get Formula (7):

[0117] As can be seen from the above Formulas (3), (4), (5) and (6), the quotient of the radius of the drive sprocket 2 and the effective reduction ratio is an important parameter for obtaining torque, moment of inertia and acceleration.

[0118] However, in some cases, these values may not always be known, and at the same time, due to the complex structure of the escalator 1, it is not easy to measure the radius of the drive sprocket 2 and the effective reduction ratio.

[0119] Therefore, Step S3.1.7 needs to be carried out for conversion.

[0120] Step S3.1.7: From the linear rated speed v of the escalator 1 and the rotational speed n of the motor at the rated speed, deduce the quotient of the radius of the drive sprocket 2 and the effective reduction ratio:

[0121] Formula (8):

[0122] Taking π as 3.14 and arranging Formula (8), we get:

[0123] Formula (9):

[0124] Step S3.1.8: Substitute Formulas (3), (4), (5) and (7) into Formula (2) to obtain:

[0125] Formula (10):

[0126] Step S3.1.9: Substitute Formula (9) into Formula (10) to obtain:

[0127] Formula (11):

[0128] In Formula (11), T制 , T 空载-摩擦 , I 空载 Obtained through experiments;

[0129] Step S3.1.10: Measure the value of T through the rated speed no-load test: 空载-摩擦 Value:

[0130] When the escalator 1 runs at no load at the rated speed, the work done by the motor is converted into the internal energy generated by the friction of the escalator 1 system, that is:

[0131] Formula (12): P = ω·T 空载-摩擦 ;

[0132] And formula (13):

[0133] Substitute formula (13) into formula (12) to get:

[0134] Formula (14):

[0135] P can be directly measured,

[0136] Step S3.1.11: Measure the value of I through the friction static test: When the mechanical brake of the escalator 1 does not act, the no-load escalator 1 running at the rated speed is braked under its own frictional force. This motion state provides the equivalent moment of inertia of the no-load escalator 1 system, that is, m = 0, T 空载 = 0, a = a0, and substitute formula (14) into formula (11), and simplify formula (11) to get: 制 = 0, a = a0, and substitute formula (14) into formula (11), and simplify formula (11) to get:

[0137] Formula (16):

[0138] Step S3.1.12: Measure the value of T through the no-load stop test: Make the escalator 1 run at the rated speed in the no-load state, and then brake and stop under the action of the mechanical brake; that is, m = 0, a = a1, and substitute formula (14) and (16) into formula (11) to get: 制 Value: Make the escalator 1 run at the rated speed in the no-load state, and then brake and stop under the action of the mechanical brake; that is, m = 0, a = a1, and substitute formula (14), (16) into formula (11) to get:

[0139] Formula (17):

[0140] Substitute formula (14), formula (16) and formula (17) into formula (11) to get:

[0141] Formula (18):

[0142] Step S3.1.13: From the kinematic formula (19):

[0143] Given that a and m are known, it can be calculated that:

[0144] Formula (20):

[0145] Based on the disclosure and teachings of the above specification, those skilled in the art to which the present invention pertains can also make changes and modifications to the above embodiments. Therefore, the present invention is not limited to the specific embodiments disclosed and described above, and some modifications and changes to the invention should also fall within the protection scope of the claims of the present invention. In addition, although some specific terms are used in this specification, these terms are only for convenience of description and do not constitute any limitation to the invention.

Claims

1. An escalator braking performance test method, characterized in that, It includes the following steps: Step S1: Fix the acceleration tester on the escalator. Step S2: Test the following parameters through the acceleration tester: a0 is the acceleration generated by the escalator under the action of the frictional torque of its own system under no-load conditions, with the unit of m / s 2 ; a1 is the acceleration generated when the escalator stops under the action of the brake under no-load conditions, with the unit of m / s 2 ; Test parameter P through a power meter. P is the power of the motor when the escalator is unloaded, and the unit is kW. Step S3: Calculate the average acceleration a under any load of the escalator and the braking distance S under any load: The definitions of the symbols in the above formula are as follows: m is the weight of the escalator load, and the unit is kg. g is the acceleration due to gravity, with the unit of m / s 2 , taking 9.81 m / s 2 ; μ is the system friction coefficient. θ is the inclination angle of the escalator, and the unit is °. v is the linear rated speed of the escalator when it is unloaded, and the unit is m / s. n is the rotational speed of the motor at the linear rated speed when the escalator is unloaded, and the unit is rpm. Among them, in the said step S3, the calculation process of the average acceleration a includes: Obtain the resultant external torque on a rigid body about a fixed axis by multiplying the moment of inertia of the rigid body about the fixed axis by the angular acceleration obtained by the rigid body under the action of the resultant external torque. Establish the force balance equation of the escalator system; calculate the moment of inertia of the escalator load about the rotating shaft in the force balance equation, calculate the unbalanced torque caused by the dynamic load of the escalator system, calculate the frictional torque caused by the dynamic load of the escalator system, and calculate the angular acceleration of the escalator. Derive the quotient of the driving sprocket radius and the effective reduction ratio from the linear rated speed v of the escalator and the rotational speed n of the motor at the rated speed. Measure the torque value caused by the friction between the step belt and the handrail components in the escalator system through a rated speed no-load experiment. Measure the moment of inertia value of the escalator system about the rotating shaft when the escalator is unloaded through a friction static test. Measure the average braking torque value of the escalator brake through a no-load stop test.

2. The method for testing the braking performance of an escalator according to claim 1, wherein In the said step S3, Take π as 3.

14.

3. The method for testing the braking performance of an escalator according to claim 1, wherein In the said step S3, the calculation process of the average acceleration a is as follows: Step S3.1.1: According to the law of rotation of a rigid body about a fixed axis, that is, the resultant external torque on a rigid body about a fixed axis is equal to the product of the moment of inertia of the rigid body about the fixed axis and the angular acceleration obtained by the rigid body under the action of the resultant external torque, obtain: Formula (1): ∑T = α·∑I; Where, T is the torque with the unit of N·m; α is the angular acceleration with the unit of rad·s -2 ; I is the moment of inertia with the unit of kg·m 2 ; Step S3.1.2: Establish the force balance equation of the escalator system: Formula (2): T 制 +T 空载-摩擦 +T 负载-摩擦 -T 负载-失衡 = α · (I 空载 +I 负载 ); Among them, T 制 , is the average braking torque of the escalator brake, with the unit of N·m; T 空载-摩擦 , is the torque caused by the friction between the step belt and the handrail components in the escalator system, with the unit of N·m; T 负载-摩擦 , is the frictional torque caused by the dynamic load of the escalator system, with the unit of N·m; T 负载-失衡 , is the unbalanced torque caused by the dynamic load of the escalator system, with the unit of N·m; I 空载 , is the moment of inertia of the escalator system with respect to the rotating shaft when the escalator is unloaded, with the unit of kg·m 2 ; I 负载 , is the moment of inertia of the escalator system with respect to the rotating shaft when the escalator is loaded, with the unit of kg·m 2 ; α, is the angular acceleration of the escalator, with the unit of rad·s -2 ; Step S3.1.3: The moment of inertia of the escalator load about the rotating shaft is: Formula (3): Among them, d is the diameter of the driving sprocket, and the unit is m; r is the effective reduction ratio, that is, the product of the gearbox reduction ratio and the transmission chain reduction ratio. Step S3.1.4: Deduce T 负载-失衡 : Formula (4): Step S3.1.5: Deduce T 负载-摩擦 : Formula (5): Step S3.1.6: Derive the angular acceleration α: From formula (6) Obtain formula (7): Step S3.1.7: Derive the quotient of the driving sprocket radius and the effective reduction ratio from the linear rated speed v of the escalator and the rotational speed n of the motor at the rated speed: Formula (8): Take π as 3.14, and after arranging formula (8), obtain: Formula (9): Step S3.1.8: Substitute formulas (3), (4), (5) and (7) into formula (2) to obtain: Formula (10): Step S3.1.9: Substitute formula (9) into formula (10) to obtain: Formula (11): Step S3.1.10: Determine the value of T through a no-load test at the rated speed 空载-摩擦 : When the escalator runs at the rated speed without load, the work done by the motor is converted into the internal energy generated by the friction of the escalator system, that is: Formula (12): P = ω·T 空载-摩擦 ; And formula (13): Substitute formula (13) into formula (12) to obtain: Formula (14): Step S3.1.11: Determine I by friction static test 空载 Value: When the mechanical brake of the escalator is not in effect, the unloaded escalator running at the rated speed stops under the action of its own friction. This motion state provides the equivalent moment of inertia of the unloaded escalator system, that is, m = 0, T 制 =0, a=a0, and substitute formula (14) into formula (11), simplifying formula (11) to obtain: Formula (16): Step S3.1.12: Determine the value of T through no-load parking test: Run the escalator at the rated speed in the no-load state, and then brake and stop under the action of the mechanical brake; that is, m = 0, a = a1, and substitute formulas (14) and (16) into formula (11) to obtain: 制 The value: Make the escalator run at the rated speed in the no-load state, and then brake and stop under the action of the mechanical brake; that is, m = 0, a = a1, and substitute formulas (14) and (16) into formula (11) to get: Formula (17): Substitute formula (14), formula (16), and formula (17) into formula (11) to obtain: Formula (18):

4. The method for testing the braking performance of an escalator according to claim 3, wherein, The calculation process of the braking distance S under any load is as follows: The average acceleration a is obtained according to formula (18), and combined with the kinematic formula (19): On the premise that a and m are known, it can be calculated that: Formula (20):

Citation Information

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