CN108052736A - A kind of design method of subway body construction - Google Patents

A kind of design method of subway body construction Download PDF

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Publication number
CN108052736A
CN108052736A CN201711319576.4A CN201711319576A CN108052736A CN 108052736 A CN108052736 A CN 108052736A CN 201711319576 A CN201711319576 A CN 201711319576A CN 108052736 A CN108052736 A CN 108052736A
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mrow
unit
msub
node
displacement
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郭世均
王丽滨
郭骏
赵航
黄赫
黄俊阁
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Guangzhou Electrical Locomotive Co Ltd
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Guangzhou Electrical Locomotive Co Ltd
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/10Geometric CAD
    • G06F30/15Vehicle, aircraft or watercraft design
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/06Power analysis or power optimisation

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  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
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  • General Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Aviation & Aerospace Engineering (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Computer Hardware Design (AREA)
  • Evolutionary Computation (AREA)
  • General Engineering & Computer Science (AREA)
  • Automation & Control Theory (AREA)
  • Investigating Strength Of Materials By Application Of Mechanical Stress (AREA)

Abstract

A kind of design method of subway body construction, including:Determine the overall structure of subway car body, Strength co-mputation and check are carried out to body construction, the factors such as geometry, loading characteristic and the requirement to computational accuracy of comprehensive body construction, selection carries out sliding-model control with shell unit to body construction, it determines that strength assessment is accurate to survey, simulates progress Stress calculation analysis under each working condition.Can design requirement be met by theoretical calculation by above-mentioned steps.

Description

A kind of design method of subway body construction
Technical field
The present invention relates to a kind of design methods of subway body construction.
Background technology
A unified design method is designed without currently for subway body construction, is set with reference to experience Meter, can not adapt to well for the variation of body construction.
The content of the invention
Can design requirement be met by theoretical calculation the technical problem to be solved in the present invention is to provide a kind of The design method of subway body construction.
In order to solve the above-mentioned technical problem, the present invention comprises the following steps:
A, the overall structure of subway car body is determined;
B, the factors such as geometry, loading characteristic and requirement to computational accuracy of comprehensive body construction, selection shell list Member carries out sliding-model control to body construction;The large scale equipment and important equipment installed on car body are applied in the form of concentrated force In respective centroid position, other load are added in the form of its Morphological Features on respective position, in computation model, weldering The form simulation that seam is overlapped with commissure node, after the discretization of structure is completed, in order to represent unit with modal displacement Assuming that displacement is the function of coordinate, any point position in unit is represented with modal displacement according to selected element displacement pattern export The relational expression of shifting, therefore it also determines corresponding positional displacement interpolation function, matrix form is:{f}e=[N] { δ }e(1), (1) In formula { f }eFor the displacement array of any point in unit, { δ }eFor the modal displacement array of unit, [N] is form function matrix, it Element is the function of displacement;
C, element characteristics analysis is carried out:
C1, the relational expression for representing any point strain in unit with modal displacement by formula (1) export:{ ε }=[B] { δ }e (2), { ε } is the strain array of any point in unit in (2) formula, and [B] is element strain matrix;
C2, the relational expression for representing element stress with modal displacement by formula (2) export:{ σ }=[D] [B] { δ }e=[S] { δ }e (3), { σ } is that any point answers torque in unit in (3) formula, [D] be with the relevant elastic square of unit material, [S] is answers torque Battle array;
C3, the stiffness matrix that each unit is established using the principle of virtual work, i.e. relation between cell node power and modal displacement, Wherein stiffness equations are:{R}e=[K] { δ }e(4), in (4) formula { R }eFor the equivalent nodal force matrix of unit, [K] is firm for unit Matrix is spent, is drawn according to above-mentioned formula:[K]=∫ ∫ ∫ [B]T[D][B]dxdydz(5);
D, overall permanence analysis is carried out, determines constitutional balance equation group;
E, determine that strength assessment is accurate to survey:The surrender of material is not greater than for the equivalent stress of all condition calculating results The formula of strength degree, wherein equivalent stress is:
Wherein, σeqFor equivalent stress at each node, σi(i=1,2,3) is each node principal stress, and [σ] is allowable stress;
F, simulate and Stress calculation analysis is carried out under each working condition.
As a further improvement on the present invention, in step:The subway car body uses integrated carrying welding structure, Subway car body includes drivers' cab, vehicle body bottom frame assembly, side wall, roof, headwall, and vehicle body bottom frame assembly is welded total by undercarriage frame Be welded into floor two parts, undercarriage frame welding assembly by chassis front end welding assembly, chassis middle-end welding assembly and The welding assembly three parts welding of chassis rear end forms.
As a further improvement on the present invention, in step D:Subway car body will be made into after excessively discrete and Unit selection It is displaced on node with the power in subway car body list is equivalent and is formed equivalent node loading matrix, then with all adjacent cells It is whole that nodal force and panel load on the identical and each node of displacement on common node keep the two principles of balance to carry out Bulk properties is analyzed, and determines constitutional balance equation group:{ R }=[K] { δ }, { Ri}={ Qi}+∑{Pi}e, wherein [K] is each unit Stiffness matrix assembles integrally-built global stiffness matrix, { R } be will act on each unit equivalent nodal force assemble it is total Loading matrix, { QiFor the concentrated force in node i, ∑ { Pi}eThe sum for the equivalent node load for being each unit at node i.
Description of the drawings
It is next with reference to the accompanying drawings and detailed description that the present invention will be further described in detail.
Fig. 1 is the schematic diagram of the subway car body of the present invention.
Fig. 2 is the schematic diagram of the undercarriage frame welding assembly of the present invention.
Fig. 3 is the schematic diagram of the car roof skeleton of the present invention
Specific embodiment
The present invention comprises the following steps:
A, the overall structure of subway car body is determined, the subway car body uses integrated carrying welding structure, by Fig. 1 extremely Shown in Fig. 3, subway car body include drivers' cab 1, vehicle body bottom frame assembly 2, side wall 3, roof 4, headwall 5, vehicle body bottom frame assembly 2 by Undercarriage frame welding assembly is welded with floor two parts, and undercarriage frame welding assembly is by chassis front end welding assembly 6, chassis Middle-end welding assembly 7 and the 8 three parts welding of chassis rear end welding assembly form;Chassis front end welding assembly 6 by end carriage, side bar, Front haulage beam, sleeper beam, crossbeam and longeron composition.End carriage and side bar are formed by the U-type groove beam of steel plate bending with steel plate butt welding, are ensured In the rigidity of all load bottom side rails.Side bar welding has car body to play flap seat, and anti-side rolling connecting seat and vehicle lifting bogie connect Joint chair.Front haulage beam is made of the box beam of two vertical and one horizontal, and front haulage beam is connected by four bolt post holes with hitch.Longeron It is connected with end carriage and sleeper beam, crossbeam is connected with side bar, the tractive force of hitch can be transferred on edge beam of underframe, fully by hitch Tractive force assign on the chassis of vehicle.The box girder construction group that sleeper beam is mainly made of upper cover plate, lower cover, gusset and web Into, sleeper beam is connected by screw bolts with bogie, lower cover using three pieces thicken pedestals be connected with bogie, both ends connecting seat and Air spring connects, and intermediate connecting seat is connected with traction seat.Side wall 3 is by side window pillar, door pillar, top side rail, gate beam, vertical Column and covering group are welded.5 steel construction of headwall is mainly by groups such as headwall column, run-through channel column, run-through channel upper beam, tail trimmers Into headwall 5 is connected with welding manner with roof 4, vehicle body bottom frame assembly 2, side wall 3 so that side wall 3 can divide to a certain extent to be held The load to side wall 3 of roof 4 and its equipment, it is light-weighted to realize so as to be further simplified the structure design of side wall 3 Purpose of design.Roof 4 is made of car roof skeleton, covering.Car roof skeleton is by penetrating through front and rear car roof side-beam 9, center roof rail 10, vehicle The compositions such as top bow 11, car roof side-beam 12, roof cross beam 13, roof needle beam 14, center post 15.Covering is weather-proof using 2mm The break mode of weldering of steel is welded on skeleton, is polished after covering surrounding full weld.
B, the factors such as geometry, loading characteristic and requirement to computational accuracy of comprehensive body construction, selection shell list Member carries out sliding-model control to body construction;The large scale equipment and important equipment installed on car body are applied in the form of concentrated force In respective centroid position, other load are added in the form of its Morphological Features on respective position, in computation model, weldering The form simulation that seam is overlapped with commissure node, after the discretization of structure is completed, in order to represent unit with modal displacement Assuming that displacement is the function of coordinate, any point position in unit is represented with modal displacement according to selected element displacement pattern export The relational expression of shifting, therefore it also determines corresponding positional displacement interpolation function, matrix form is:{f}e=[N] { δ }e(1), (1) In formula { f }eFor the displacement array of any point in unit, { δ }eFor the modal displacement array of unit, [N] is form function matrix, it Element is the function of displacement;
C, element characteristics analysis is carried out:
C1, the relational expression for representing any point strain in unit with modal displacement by formula (1) export:{ ε }=[B] { δ }e (2), { ε } is the strain array of any point in unit in (2) formula, and [B] is element strain matrix;
C2, the relational expression for representing element stress with modal displacement by formula (2) export:{ σ }=[D] [B] { δ }e=[S] { δ }e (3), { σ } is that any point answers torque in unit in (3) formula, [D] be with the relevant elastic square of unit material, [S] is answers torque Battle array;
C3, the stiffness matrix that each unit is established using the principle of virtual work, i.e. relation between cell node power and modal displacement, Wherein stiffness equations are:{R}e=[K] { δ }e(4), in (4) formula { R }eFor the equivalent nodal force matrix of unit, [K] is firm for unit Matrix is spent, is drawn according to above-mentioned formula:[K]=∫ ∫ ∫ [B]T[D][B]dxdydz(5);
D, subway car body is displaced to section into the power that after excessively discrete and Unit selection, will act at subway car body list is equivalent On point and equivalent node loading matrix is formed, then the identical and each node of the displacement with all adjacent cells on common node On nodal force and panel load keep balance the two principles carry out overall permanence analysis, determine constitutional balance equation group:{R} =[K] { δ }, { Ri}={ Qi}+∑{Pi}e, wherein the stiffness matrix that [K] is each unit assembles integrally-built global stiffness square Battle array, { R } assemble total loading matrix, { Q to will act on the equivalent nodal force of each unitiFor the concentrated force in node i, ∑ {Pi}eThe sum for the equivalent node load for being each unit at node i;
E, determine that strength assessment is accurate to survey:The surrender of material is not greater than for the equivalent stress of all condition calculating results The formula of strength degree, wherein equivalent stress is:
Wherein, σeqFor equivalent stress at each node, σi(i=1,2,3) is each node principal stress, and [σ] is allowable stress;
F, simulate and Stress calculation analysis is carried out under each working condition, to investigate the strength and stiffness of subway stainless steel car body, According to the actual conditions of vehicle in use, reference standard《Railway applications-railroad car structural requirement》To determine Each assumed (specified) load and calculating operating mode, operating mode and parameter declaration are as shown in following chart:
1 passenger of table illustrates (kg)
Symbol Definition Per passenger weight Passenger's gross weight Patronage/people
AW0 Without passenger 60 0 0
AW1 Seat is full 60 2520 42
AW2 Staffing 60 13800 230
AW3 Overcrowding load 60 19620 327
2 quality mark explanation of table
Static operating mode explanation:

Claims (3)

1. a kind of design method of subway body construction, which is characterized in that comprise the following steps:
A, the overall structure of subway car body is determined;
B, the factors such as geometry, loading characteristic and requirement to computational accuracy of comprehensive body construction, selection shell unit pair Body construction carries out sliding-model control;The large scale equipment and important equipment installed on car body are applied to respectively in the form of concentrated force From centroid position, other load are added in the form of its Morphological Features on respective position, in computation model, weld seam with The form simulation that commissure node overlaps, after the discretization of structure is completed, in order to represent that unit is assumed with modal displacement Displacement is the function of coordinate, and any point displacement in unit is represented with modal displacement according to selected element displacement pattern export Relational expression, therefore it also determines corresponding positional displacement interpolation function, matrix form is:{f}e=[N] { δ }e(1), in (1) formula {f}eFor the displacement array of any point in unit, { δ }eFor the modal displacement array of unit, [N] is form function matrix, its element It is the function of displacement;
C, element characteristics analysis is carried out:
C1, the relational expression for representing any point strain in unit with modal displacement by formula (1) export:{ ε }=[B] { δ }e(2), (2) { ε } is the strain array of any point in unit in formula, and [B] is element strain matrix;
C2, the relational expression for representing element stress with modal displacement by formula (2) export:
{ σ }=[D] [B] { δ }e=[S] { δ }e(3), { σ } is that any point answers torque in unit in (3) formula, and [D] is and unit material Expect relevant elastic square, [S] is stress matrix;
C3, the stiffness matrix that each unit is established using the principle of virtual work, i.e. relation between cell node power and modal displacement, wherein Stiffness equations are:{R}e=[K] { δ }e(4), in (4) formula { R }eFor the equivalent nodal force matrix of unit, [K] is element stiffness square Battle array, draws according to above-mentioned formula:
<mrow> <mo>&amp;lsqb;</mo> <mi>K</mi> <mo>&amp;rsqb;</mo> <mo>=</mo> <mo>&amp;Integral;</mo> <mo>&amp;Integral;</mo> <mo>&amp;Integral;</mo> <msup> <mrow> <mo>&amp;lsqb;</mo> <mi>B</mi> <mo>&amp;rsqb;</mo> </mrow> <mi>T</mi> </msup> <mo>&amp;lsqb;</mo> <mi>D</mi> <mo>&amp;rsqb;</mo> <mo>&amp;lsqb;</mo> <mi>B</mi> <mo>&amp;rsqb;</mo> <mi>d</mi> <mi>x</mi> <mi>d</mi> <mi>y</mi> <mi>d</mi> <mi>z</mi> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>5</mn> <mo>)</mo> </mrow> <mo>;</mo> </mrow>
D, overall permanence analysis is carried out, determines constitutional balance equation group;
E, determine that strength assessment is accurate to survey:The yield strength of material is not greater than for the equivalent stress of all condition calculating results The formula of the limit, wherein equivalent stress is:
<mrow> <msub> <mi>&amp;sigma;</mi> <mrow> <mi>e</mi> <mi>q</mi> </mrow> </msub> <mo>=</mo> <msqrt> <mrow> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mo>&amp;lsqb;</mo> <msup> <mrow> <mo>(</mo> <msub> <mi>&amp;sigma;</mi> <mn>1</mn> </msub> <mo>-</mo> <msub> <mi>&amp;sigma;</mi> <mn>2</mn> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <msub> <mi>&amp;sigma;</mi> <mn>2</mn> </msub> <mo>-</mo> <msub> <mi>&amp;sigma;</mi> <mn>3</mn> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <msub> <mi>&amp;sigma;</mi> <mn>3</mn> </msub> <mo>-</mo> <msub> <mi>&amp;sigma;</mi> <mn>1</mn> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>&amp;rsqb;</mo> </mrow> </msqrt> <mo>&amp;le;</mo> <mo>&amp;lsqb;</mo> <mi>&amp;sigma;</mi> <mo>&amp;rsqb;</mo> <mo>;</mo> </mrow>
Wherein, σeqFor equivalent stress at each node, σi(i=1,2,3) is each node principal stress, and [σ] is allowable stress;
F, simulate and Stress calculation analysis is carried out under each working condition.
2. by the design method of subway body construction described in claim 1, it is characterised in that:In step:The subway Vehicle car body uses integrated carrying welding structure, and subway car body includes drivers' cab, vehicle body bottom frame assembly, side wall, roof, headwall, Vehicle body bottom frame assembly is welded by undercarriage frame welding assembly and floor two parts, and undercarriage frame welding assembly is by chassis front end Welding assembly, chassis middle-end welding assembly and the welding assembly three parts welding of chassis rear end form.
3. by the design method of subway body construction described in claim 1, it is characterised in that:In step D:Subway vehicle Body is displaced on node into the power that after excessively discrete and Unit selection, will act at subway car body list is equivalent and forms equivalent node Loading matrix, then the nodal force on the identical and each node of the displacement with all adjacent cells on common node and node carry Lotus keeps balancing the progress overall permanence analysis of the two principles, determines constitutional balance equation group:{ R }=[K] { δ },Wherein [K] is that the stiffness matrix of each unit assembles integrally-built global stiffness matrix, and { R } is will The equivalent nodal force for acting on each unit assembles total loading matrix, { QiFor the concentrated force in node i,For each list The sum of equivalent node load of the member at node i.
CN201711319576.4A 2017-12-12 2017-12-12 A kind of design method of subway body construction Pending CN108052736A (en)

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