CN109388814B - Method for calculating axle load of floating car type 5-module low-floor urban rail vehicle - Google Patents
Method for calculating axle load of floating car type 5-module low-floor urban rail vehicle Download PDFInfo
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- CN109388814B CN109388814B CN201710664416.7A CN201710664416A CN109388814B CN 109388814 B CN109388814 B CN 109388814B CN 201710664416 A CN201710664416 A CN 201710664416A CN 109388814 B CN109388814 B CN 109388814B
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- G—PHYSICS
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Abstract
The invention provides a floating car type 5 module low floor urban rail vehicle axle load calculation method and an Excel axle load calculation template. The invention discloses a floating car type 5 module low floor urban rail vehicle axle load calculation method, which is characterized in that the motion characteristics of a hinging device are analyzed, the floating car type 5 module low floor urban rail vehicle is divided into 2 parts according to the different motion characteristics of the hinging device, each part is regarded as a rigid body in the vertical direction, the weight and the gravity center of each part are calculated, and the vertical stress of the hinging device connecting the 2 parts is calculated. The moment balance principle is applied to calculate the vertical pressure born by each bogie, and then the axle weight is obtained by combining the dead weight of the bogie. Meanwhile, in order to simplify calculation and facilitate later adjustment of the axle weight index, a specific formula is written into a table by using the data processing function of Excel, and the axle weight of each axle can be obtained by only inputting the weight and the barycentric coordinates of each component.
Description
Technical Field
The invention relates to a method for calculating the axle load of a floating car type 5 module low floor urban rail vehicle.
Background
The low-floor tramcar has gradually become the trend of urban public transportation market development due to the advantages of energy conservation, environmental protection, small investment, moderate passenger capacity, good passenger comfort, low later maintenance cost and the like. For low-floor tramcars, most of domestic companies adopt technical introduction, joint design and other modes for design and production. The problem is that the lack of intensive research on some key technologies or dyspepsia on some technologies is liable to cause design errors. The axle weight is taken as a very important technical index of the low-floor urban rail vehicle, and no good theoretical calculation method exists in China at present. The invention relates to a method for calculating the axle load of a floating car type 5 module low-floor urban rail vehicle, which can be used for rapidly and accurately calculating the axle load of the floating car type 5 module low-floor urban rail vehicle.
Disclosure of Invention
The invention provides a method for calculating the axle weight of a floating car type 5 module low floor urban rail vehicle, which comprises the following steps:
101. dividing rigid body modules;
102. defining a coordinate system;
103. calculating the weight and the gravity center of the rigid body module;
104. calculating the axle weight;
105. establishing a rigid body module weight and gravity center calculation template;
106. establishing an axle weight calculation template;
the urban rail vehicle related to the method consists of 5 vehicle body positions, 3 bogies and 4 articulated modules.
The rigid body module division means that the hinge module mainly allows the head shaking movement between the vehicle bodies and limits the side rolling and the head nodding movement between the vehicle bodies, so that the floating vehicle type 5 module low floor urban rail vehicle is divided into 2 parts at the hinge module in the vertical direction, and is defined as a rigid body module (1) and a rigid body module (2).
The building of the rigid body module weight and gravity center calculation template is to fill the weight of the component and the gravity center coordinates of the component into an Excel form, input a calculation formula into the Excel, calculate the moment of each component in the directions of an X axis, a Y axis and a Z axis, add the masses of each component to obtain the total mass, and add the moment of each component in each direction to obtain the total moment. Dividing the total moment by the total mass to obtain the barycentric coordinates of each rigid body module, filling the weight of the component and the barycentric coordinates of the component into an Excel table, inputting a calculation formula into the Excel, obtaining the moment of each component in the directions of an X axis, a Y axis and a Z axis, adding the masses of each component to obtain the total mass, and adding the moment of each component in each direction to obtain the total moment. Dividing the total moment by the total mass to obtain the barycentric coordinates of each rigid body module.
The building of the axle load calculation template is the core content of the whole calculation template, the template writes the calculation formula into a table, the weight and gravity center data in the rigid body module weight and gravity center calculation template are collected, and the axle load data of the vehicle under the working conditions of the vehicle standby state, the fixed person state, the overman state and the like are calculated.
Drawings
FIG. 1 is a frame diagram of a floating car type 5 module low floor urban rail vehicle.
Fig. 2 is a customized view of a structure of a floating car type 5 module low floor urban rail vehicle.
Fig. 3 is a rigid body module coordinate system diagram of the method for calculating the axle load of the floating car type 5 module low floor urban rail vehicle.
Fig. 4 is a rigid body module B stress analysis chart of the method for calculating the axle load of the floating car type 5 module low floor urban rail vehicle.
Fig. 5 is a rigid body module a stress analysis chart of the method for calculating the axle load of the floating car type 5 module low floor urban rail vehicle.
FIG. 6 is a diagram of an example of a rigid body module weight and center of gravity calculation template for a method for calculating the axle load of a floating car type 5 module low floor urban rail vehicle according to the present invention.
Fig. 7 is an exemplary diagram of an axle weight calculation template of the method for calculating the axle weight of a floating car type 5 module low floor urban rail vehicle.
Fig. 8 is a flowchart of a method for calculating the axle load of a floating car type 5 module low floor urban rail vehicle.
Detailed Description
The technical scheme in the implementation of the present invention will be clearly and completely described below in connection with the schematic diagram of the implementation of the present invention.
FIG. 1 is a frame diagram of a floating car type 5 module low floor urban rail vehicle. As shown in fig. 1, the vehicle is a floating car type 5 module low floor urban rail vehicle. The basic theory of axle weight calculation is to calculate the gravity center position and the axle weight of each axle according to the moment balance principle. However, the moment balance has a precondition that the calculation object must be a rigid body. For a floating car type 5 module low floor urban rail vehicle, the modules are connected through a hinge device, the weights of the modules are mutually independent and mutually influenced, and in order to conveniently pass through a vertical curve, a hinge device allowing spot head movement to occur between the vehicle bodies is generally adopted on any side of the middle vehicle body. In this case, how to calculate the axle weights of the respective axles becomes a difficulty in design. Under the general condition, the axle weight of each axle can be simulated under a certain working condition by using dynamic software, but the dynamic software has the defects of complex parameter setting, difficult change and the like, and has low design efficiency in the design process. By adopting the calculation method of the invention, the design steps can be simplified, and the design efficiency can be improved.
Fig. 2 is a customized view of a structure of a floating car type 5 module low floor urban rail vehicle. As shown in fig. 2, from left to right, each body module is defined as: the number 1 is 1, the number 2 is 2, the number 3 is 3, the number 4 is 4, and the number 5 is 5; defining each bogie as: the steering system comprises a 1-position steering frame 6, a 2-position steering frame 9 and a 3-position steering frame 12; defining each hinge module as: 7 is a 1-position hinge, 8 is a 2-position hinge, 10 is a 3-position hinge, and 11 is a 4-position hinge.
Fig. 8 is a flowchart of a method for calculating the axle load of a floating car type 5 module low floor urban rail vehicle. As shown in fig. 8, the method includes the steps of:
and 101, dividing the rigid body module.
As can be seen from FIG. 2, the 1-position hinge, 2-position hinge and 4-position hinge mainly allow head-shaking movement between the vehicle bodies, and limit the roll and nodding movement between the vehicle bodies, and the 3-position hinge allows head-shaking movement and nodding movement between the vehicle bodies, and limit the roll between the vehicle bodies. Therefore, in the vertical direction, at the 3-position hinge position, the floating car type 5-module low-floor urban rail vehicle is divided into 2 parts, which are defined as a rigid body module A and a rigid body module B.
Step 102, defining a coordinate system.
As shown in fig. 3, for the rigid body module a, the origin of coordinates is located at a projection point of the geometric center point of the 2-bit vehicle body on the rail surface, a coordinate system 1 is established by using the origin, the x-axis of the coordinate system 1 is the longitudinal center line of the vehicle, the right direction is defined as the positive direction, and the y-axis and the z-axis are defined according to the right-hand rule. And in the same way, the coordinate system of the rigid body module B is marked. And each subsystem performs parameter input according to the coordinate system to calculate the weight and the gravity center of the rigid body module.
Step 103, weight and center of gravity calculation of rigid body module
The rigid body module A or the rigid body module B is composed of a plurality of subsystems, and the weight and the gravity center of the rigid body module are calculated by applying a force balance principle and a moment balance principle.
G n ＝∑G s
x n ＝(∑G s ·x s )/G 1
y n ＝(∑G s ·y s )/G 1
z n ＝(∑G s ·z s )/G 1
Wherein G represents weight, n represents rigid body module, x, y and z represent coordinates of rigid body module, and subscript S represents subsystem.
Firstly, the stress of the 3-bit bogie and the stress of the 3-bit hinging device in the rigid body module B are calculated, and the stress condition of the rigid body module B is calculated firstly because the rigid body module B is simpler in stress than the rigid body module A.
As shown in fig. 4, since the 3-position hinge limits the mutual head movement between the bodies, the 4-position body and the 5-position body are regarded as one rigid body in the vertical direction, and simultaneously, the supporting force of the 4 secondary springs of the bogie to the bodies is simplified to 1 center supporting force, and the rigid body module B is calculated:
T 3 +N＝G 2
N·(X 3 +X 4 )＝G 2 ·X 4
pushing out:
wherein N is the supporting force of the 3-position hinging device to the rigid body module B, T 3 G for supporting the rigid body module B by the bogie 2 Is the gravity of rigid body module B, X 3 For 3-position hinge and rigid body module BDistance of gravity center position along X-axis direction, X 4 Is the distance between the bogie and the center of gravity of the rigid body module B along the x-axis direction.
Secondly, calculating stress of a 1-bit bogie and a 2-bit bogie in the rigid body module A
As shown in fig. 5, since the 1-position hinge and the 2-position hinge do not allow the mutual nodding movement between the vehicle bodies, the 1-position vehicle body, the 2-position vehicle body, and the 3-position vehicle body are regarded as 1 rigid body in the vertical direction, and the supporting force of the 4 secondary springs of the bogie to the vehicle body is simplified to 1 center supporting force, which includes:
N+G 1 ＝T 1 +T 2
T 1 ·(X 1 +X 2 )+N·X L ＝G 1 ·X 2
pushing out:
wherein N is the pressure of the 3-position hinging device to the rigid body module A, T 1 、T 2 The supporting force X of the 1-bit bogie and the 2-bit bogie to the rigid body module A respectively 1 、X 2 The distances between the centers of gravity of the 1-bit bogie, the 2-bit bogie and the rigid body module A along the X-axis direction are respectively X L Is the distance between the 2-position bogie and the 3-position hinging device.
From the above calculation, T 1 、T 2 、T 3 The size of (2) is mainly determined by the weight and gravity center positions of the 2 rigid body modules.
104, calculating the axle weight
T 1 、T 2 、T 3 The vertical stress on two tie springs of the 1-position bogie, the 2-position bogie and the 3-position bogie respectively is set to be m by the dead weight of the 1-position bogie 1 The dead weight of the 2-bit bogie is m 2 3-position bogie dead weight is m 3 . Due to power at allThe bogie is also a non-power bogie, the gravity center of which is close to the geometric center, and the self weight of the bogie can be considered to be uniformly distributed to every 1 axle. Then there are:
the axle weight of the 1-bit bogie is M 1
The axle weight of the 2-bit bogie is M 2
The axle weight of the 3-bit bogie is M 3
And 105, establishing a rigid body module weight and gravity center calculation template.
As shown in fig. 6, the weight of the component and the barycentric coordinates of the component are filled in an Excel table, a calculation formula is input in the Excel, the moment of each component in the directions of the X axis, the Y axis and the Z axis is obtained, the masses of each component are added to obtain the total mass, and the moment of each component in each direction is added to obtain the total moment. Dividing the total moment by the total mass to obtain the barycentric coordinates of each rigid body module
After the calculation method is adopted to solve the calculation formula, the Excel table is written to calculate the specific axle weight
And 106, establishing an axle weight calculation template.
As shown in fig. 7, the core content of the whole calculation template is that the template writes the calculation formula into a table, collects the weight and gravity center data in the rigid body module weight and gravity center calculation template, and calculates the vehicle axle weight data under the working conditions of the vehicle servicing state, the fixed member state, the overmember state and the like.
The template is established, so that any one of the input parameters is modified, new axle weight data can be obtained in real time, and the design efficiency and the design accuracy are improved.
While the foregoing is directed to the preferred embodiments of the present invention, it will be appreciated by those skilled in the art that various modifications and adaptations can be made without departing from the principles of the present invention, and such modifications and adaptations are intended to be comprehended within the scope of the present invention.
Claims (1)
1. A method for calculating the axle weight of a floating car type 5 module low floor urban rail vehicle is characterized by comprising the following steps:
101. dividing rigid body modules;
102. defining a coordinate system;
103. calculating the weight and the gravity center of the rigid body module;
104. calculating the axle weight;
105. establishing a rigid body module weight and gravity center calculation template;
106. establishing an axle weight calculation template; the urban rail vehicle related to the method consists of 5 vehicle body positions, 3 bogies and 4 articulated modules;
the rigid body module division means that the hinge module (10) mainly allows the head shaking and head nodding movements among the vehicle bodies and limits the side rolling movements among the vehicle bodies, so that in the vertical direction, the floating vehicle type 5 module low floor urban rail vehicle is divided into 2 parts at the hinge module, and is defined as a rigid body module A and a rigid body module B;
the building of the axle load calculation template is the core content of the whole calculation template, the template writes the calculation formula into a table, the weight and gravity center data in the rigid body module weight and gravity center calculation template are collected, and the axle load data of the vehicle under the working conditions of the vehicle standby state, the fixed state and the overman state are calculated; the method comprises the steps of establishing a rigid body module weight and gravity center calculation template, filling the weight of a component and the gravity center coordinates of the component into an Excel form, inputting a calculation formula into the Excel, solving the moment of each component in the directions of an X axis, a Y axis and a Z axis, adding the masses of each component to obtain total mass, and adding the moment of each component in each direction to obtain total moment; dividing the total moment by the total mass to obtain the barycentric coordinates of each rigid body module;
wherein, rigid body module B's atress is:
wherein G is 1 G is the gravity of the rigid body module A 2 Is the gravity of rigid body module B, X 3 X is the distance between the 3-position hinge device (10) and the gravity center position of the rigid body module B along the X-axis direction 4 X is the distance between the 3-bit bogie (12) and the center of gravity of the rigid body module B along the X-axis direction 1 、X 2 The distances between the centers of gravity of the 1-bit bogie (6), the 2-bit bogie (9) and the rigid body module A along the X-axis direction are respectively X L Is the distance between the 2-position bogie (9) and the 3-position hinging device (10);
the supporting force of the 3-bit bogie to the rigid body module B is as follows:
the supporting force of the 2-bit bogie to the rigid body module A is as follows:
the axle weight of the 1-bit bogie is as follows:
the axle weight of the 2-bit bogie is as follows:
the axle weight of the 3-bit bogie is as follows:
wherein T is 1 、T 2 、T 3 The two systems of the two-system springs of the 1-position bogie (6), the 2-position bogie (9) and the 3-position bogie (12) are respectively stressed vertically, and the dead weight of the 1-position bogie is m 1 The dead weight of the 2-bit bogie is m 2 3-position bogie dead weight is m 3 。
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| CN111914342A (en) * | 2019-06-03 | 2020-11-10 | 中车大同电力机车有限公司 | Locomotive axle readjusting method |
| CN114896953A (en) * | 2022-04-26 | 2022-08-12 | 东风汽车集团股份有限公司 | Forward decomposition method and decomposition device for roll stiffness performance index of vehicle body |
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| JP2011196743A (en) * | 2010-03-18 | 2011-10-06 | Yamato Scale Co Ltd | Vehicle weight measuring instrument |
| CN102692297A (en) * | 2012-06-13 | 2012-09-26 | 吉林大学 | Braking process-based dynamic automobile gravity position detector and method |
| CN106845006A (en) * | 2017-02-15 | 2017-06-13 | 中车株洲电力机车有限公司 | Rail vehicle weight center of gravity design optimization method and system based on multiple-objection optimization |
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