CN110991068A - Design method for straight section length of end part of oblique line type hanging plate spring of high-speed rail driving motor - Google Patents
Design method for straight section length of end part of oblique line type hanging plate spring of high-speed rail driving motor Download PDFInfo
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Abstract
The invention discloses a design method for the length of a straight section at the end part of a high-speed rail driving motor oblique line type hanging plate spring, and belongs to the technical field of high-speed rail driving motor hanging plate springs. The invention can design the length of the straight section at the end part of the hanging plate spring of the high-speed rail driving motor based on the shapes of the end parts of different sections according to the design requirement values of the shapes of the two ends of different sections, the action length, the thickness and the length of the straight section at the root part, the thickness of the straight section at the end part, the elastic modulus and the transverse rigidity of the inclined line type hanging plate spring of the high-speed rail driving motor, and design the length of the inclined line section and the thickness of the inclined line section at different positions on the basis. According to a prototype test, the design method for the straight section length of the end part of the oblique line type hanging plate spring of the high-speed rail driving motor is correct, the accurate and reliable design values of the straight section length of the end part and the thickness of the oblique line section at different positions can be obtained, the transverse rigidity is ensured to meet the design requirement, and the design level and the reliability of a product are improved.
Description
Technical Field
The invention relates to an oblique line type hanging plate spring of a high-speed rail driving motor, in particular to a design method for the length of a straight section at the end part of the oblique line type hanging plate spring of the high-speed rail driving motor.
Background
Along with the continuous improvement of the running speed, running stability and safety of the high-speed rail, higher requirements are provided for the calculation and design of the transverse rigidity of the oblique-line type hanging plate spring of the driving motor of the high-speed rail. The shape of two ends of the cross section of the actually adopted hanging plate spring can be divided into a semicircular arc or a chamfer, and the origin of coordinates of the oblique line section is mostly not superposed with the center of a lifting lug at the end part of the hanging plate spring, namely, the translation amount of coordinates is mostly stored in the oblique line section. The transverse rigidity of the oblique line type hanging plate spring of the high-speed rail driving motor is influenced by the thickness and the width of the hanging plate spring, the shapes of two ends of a cross section, the coordinate translation amount of an oblique line section and the length of a straight section of an end part. However, the influence of the shapes of two ends of the cross section and the coordinate translation amount of the oblique line section is not considered in the calculation and design of the rigidity of the few-leaf parabolic variable-section leaf spring, so that an accurate and reliable design method for the length of the straight section at the end part of the oblique line type hanging leaf spring of the high-speed rail driving motor is not provided. Along with the continuous improvement of the running speed, running stability and safety of a high-speed rail, the influence of the shapes of two ends of a cross section and the coordinate translation amount of a slash section must be considered, an accurate and reliable design method of the length of the slash section at the end part of the slash section hanging plate spring of the high-speed rail driving motor is established, a reliable technical method is provided for the calculation of transverse rigidity and the design of the driving motor hanging plate spring, a reliable technical basis is laid for numerical manufacturing, the design level, the reliability and the service life of a product are improved, and the running stability and the safety of a rail vehicle are improved; meanwhile, the design and test cost of the product is reduced, and the product development speed is accelerated.
Disclosure of Invention
In view of the above-mentioned drawbacks in the prior art, the present invention provides a simple and reliable method for designing the length of the straight section at the end of the oblique hanging plate spring of the high-speed rail driving motor, and the flow chart is shown in fig. 1. The structure and mechanics model of the oblique line type hanging plate spring of the high-speed rail driving motor are composed of a root straight section, an oblique line section and an end straight section as shown in figure 2, wherein the root of the hanging plate spring is fixed and restrained, a transverse load is applied to the center of an end lifting lug to form a P, the center of the lifting lug is used as an end point of the hanging plate spring, the length between the center of the end lifting lug and a fixed point of the root is the action length L of the hanging plate spring, and the length of the end straight section is L1The length of the root straight section is L2The length from the root of the diagonal line segment to the end point of the hanging plate spring is L2p(ii) a The thickness of the end straight section of the hanging plate spring is h1The thickness of the root straight section is h2The thickness ratio β of diagonal line segment is h1/h2Average thickness h of diagonal line segmentp＝(h1+h2) 2; establishing a coordinate system by taking the end point of the hanging plate spring as a coordinate origin O, wherein the thickness of a diagonal section at the position x is hx. The shapes of two ends of the cross section of the oblique-type hanging plate spring of the high-speed rail driving motor can be divided into an arc type and a chamfer type, wherein the shapes of the cross sections of all sections of the oblique-type hanging plate spring of the oblique-type high-speed rail driving motor with two ends of the cross section are as shown in figure 3, wherein the semi-circular arc radiuses r at two ends of the cross section of the root straight section2＝h2/2, radius r of semi-circle arc at two ends of section of end straight section1＝h1/2, the radius r of the semicircular arc at the two ends of the cross section of the oblique line section at the position xx＝h x2, average circular arc radius r at two ends of cross section of oblique line segmentp＝hp/2. The section shapes of the sections of the oblique line type hanging plate spring of the high-speed rail driving motor with the two ends of the section are shown in figure 4, wherein the chamfer radius r of the root straight section of the oblique line type hanging plate spring of the high-speed rail driving motor with the two ends of the section isd2Radius r of chamfer of straight end sectiond1Chamfer radius r of diagonal segment at x positiondxAverage chamfer radius r of diagonal segmentdp(ii) a Ratio k of chamfer radius to thickness of root straight sectionr2＝rd2/h2The ratio k of the chamfer radius to the thickness of the end straight sectionr1＝rd1/h1The ratio k of the average chamfer radius to the average thickness of the diagonal segmentsrp＝rdp/hp. According to design requirement values of the shapes of two ends of different sections, the action length, the thickness and the length of the root straight section, the thickness of the end straight section, the elastic modulus and the transverse rigidity of the oblique-line type hanging plate spring of the high-speed rail driving motor, the lengths of the end straight section and the oblique-line section and the thicknesses of the oblique-line section at different positions of the oblique-line type hanging plate spring of the high-speed rail driving motor based on the shapes of the end parts of the different sections are designed.
In order to solve the technical problem, the invention provides a method for designing the length of a straight section at the end part of an oblique hanging plate spring of a high-speed rail driving motor, which is characterized by comprising the following design steps of:
(1) calculating equivalent widths of all sections of the oblique line type hanging plate spring of the high-speed rail driving motor based on different cross-sectional shapes:
calculating the equivalent width of each section of the hanging plate spring of the driving motor according to different cross-sectional shapes of the hanging plate spring, namely
a, step a: calculation of equivalent width of each section of oblique line type hanging plate spring of section arc type high-speed rail driving motor
According to the width B of the oblique line type hanging plate spring of the section arc type high-speed rail driving motor and the thickness h of the root straight section2Thickness h of the end straight section1Average thickness h of diagonal line segmentp＝(h1+h2) 2, equivalent width b of root straight section of oblique line type hanging plate spring of arc-shaped section high-speed rail driving motor2Equal width b of straight end section1And the average equivalent width b of the diagonal line segmentxPerform calculations, i.e.
b, step (b): calculation of equivalent width of each section of oblique line type hanging plate spring of section chamfer type high-speed rail driving motor
According to the width B of the hanging plate spring and the thickness h of the root straight section2Thickness h of the end straight section1Average thickness h of diagonal line segmentp＝(h1+h2) /2, the ratio γ of the thickness to the width of the root flat section2＝h2B, the ratio of the thickness to the width of the end straight section gamma1＝h1B, the ratio γ of the average thickness of the diagonal segments to the widthp＝hpB chamfer radius r of root straight sectiond2Radius r of chamfer of straight end sectiond1Average chamfer radius r of diagonal segmentdp(ii) a Ratio k of chamfer radius to thickness of root straight sectionr2＝rd2/h2The ratio k of the chamfer radius to the thickness of the end straight sectionr1＝rd1/h1The ratio k of the average chamfer radius to the thickness of the diagonal segmentrp＝rdp/hpFor the equivalent width b of the flat and straight section of the root of the plate spring under the condition of considering the chamfers at the two ends of the cross section2Equivalent width b of the end straight section1And the average equivalent thickness b of the diagonal line segmentxpPerform calculations, i.e.
(2) Calculating the flexibility of the straight section at the root of the oblique line type hanging plate spring of the high-speed rail driving motor:
according to the thickness h of the root straight section of the hanging plate spring2The length L of the suspension leaf spring, the length L from the root of the diagonal line segment to the end point of the leaf spring2pElastic modulus E, calculation of end point b in step (1)2For the flexibility R of the root straight section of the drive motor hanging plate springd2Perform calculations, i.e.
(3) Flexibility R of straight section and inclined section of end part of oblique line type hanging plate spring of high-speed rail driving motord1And RdxExpression (c):
according to the thickness h of the root straight section of the oblique line type hanging plate spring of the high-speed rail driving motor2Thickness h of the end straight section1The thickness ratio β of diagonal line segment is h1/h2Length L from root of diagonal segment to end point of plate spring2xElastic modulus E, b calculated in step (1)1And bxpWith end straight section L1Establishing the transverse flexibility R of the straight section and the inclined line section of the end part of the oblique line type hanging plate spring of the high-speed rail driving motor for the parameter to be solvedd1And RdxIs expressed by
In the formula (I), the compound is shown in the specification,
(4) straight section length L of end part of oblique line type hanging plate spring of high-speed rail driving motor1The design of (2):
according to the design requirement value K of the transverse rigidityyR calculated in step (2)d2R established in step (3)d1And RdpBy the length L of the end flat section1For the parameters to be solved, the length L of the straight section at the end part of the hanging plate spring of the driving motor is established1By designing mathematical models of, i.e.
Utilizing a Matlab calculation program to calculate the length L of the straight section at the end part of the plate spring hung on the driving motor1The designed mathematical model is solved to obtain the length L of the straight section at the end part of the oblique line type hanging plate spring of the high-speed rail driving motor1Design value of (c).
(5) The design of leaf spring bias segment length and in different positions thickness is hung to high-speed railway driving motor bias type:
i, step: drive motor hangs leaf spring bias line segment length LxDesign (2) of
According to the length L from the root of the oblique line section of the oblique line type hanging plate spring of the high-speed rail driving motor to the end point of the plate spring2xL designed in step (4)1Length L of oblique line segment of suspension plate spring for driving motorxIs designed, i.e.
Lx＝L2x-L1；
IV, step (2): design of thicknesses of oblique line segments of hanging plate spring of driving motor at different positions x
According to the thickness h of the straight section at the root of the oblique line type hanging plate spring of the high-speed rail driving motor2Thickness h of the end straight section1The length L from the root of the oblique line segment of the hanging leaf spring to the end point of the leaf spring2xL designed in step (4)1For the thickness h of the oblique line section of the oblique line type hanging plate spring of the high-speed rail driving motor at different positions xxIs designed, i.e.
The invention has the advantages over the prior art
The influence of the shapes of two ends of the cross section on the transverse rigidity of the hanging plate spring of the driving motor is not considered in the prior art, so that an accurate and reliable method for designing the length of the straight section of the end part of the oblique hanging plate spring of the driving motor for the high-speed rail is not provided, and the requirements of rapid development of vehicles and modern CAD (computer-aided design) and digital manufacturing of the horizontal variable cross section plate spring of the suspension cannot be met. The invention can design the length of the end straight section, the length of the oblique line section and the thickness of the oblique line section of the hanging plate spring of the high-speed rail driving motor based on the shapes of the end parts of different sections according to the design requirement values of the shapes of the two ends of different sections, the action length, the thickness and the length of the root straight section, the thickness of the end straight section, the elastic modulus and the transverse rigidity of the high-speed rail driving motor. According to prototype test, the design method for the straight section length of the end part of the oblique line type hanging plate spring of the high-speed rail driving motor is correct, the accurate and reliable design values of the straight section length, the oblique line section length and the thickness of the oblique line section at different positions of the end part of the hanging plate spring of the driving motor can be obtained, a reliable technical method is provided for the design of the oblique line type hanging plate spring of the high-speed rail driving motor, and a reliable technical basis is laid for digital manufacturing. The method can improve the design level of products, the product quality and the vehicle driving safety; meanwhile, the design and test cost of the product is reduced, and the product development speed is accelerated.
Drawings
For a better understanding of the present invention, reference is made to the following further description taken in conjunction with the accompanying drawings.
FIG. 1 is a flow chart of the design of the length of a straight section at the end of an oblique hanging plate spring of a high-speed rail driving motor;
FIG. 2 is a structural and mechanical model of a diagonal suspension plate spring of a high-speed rail driving motor;
FIG. 3 is a schematic view of each section and the radius of circular arcs at two ends of the oblique hanging plate spring of the circular arc type high-speed rail driving motor at two ends of the section;
fig. 4 is a schematic view of each section and the chamfer radius at both ends of the oblique-line type hanging plate spring of the high-speed rail driving motor with the chamfer angles at both ends of the section.
Detailed Description
The present invention will be described in further detail by way of examples.
Example one: it is known that the two ends of the cross section of the oblique line type hanging plate spring of a certain high-speed rail driving motor are semicircular arcs, the width B is 80mm, the elastic modulus E is 206GPa, and the thickness h of the root straight section of the plate spring2Thickness h of flat end section of 20mm18mm, and the thickness ratio β of the diagonal line segment is h1/h20.4; the action length L of the hanging plate spring is 550mm, and the length L of the root straight section250mm, length L from the root of the oblique line section to the end point of the plate spring2p＝L-L2500 mm. Design requirement value K of transverse rigidity of hanging plate spring of driving motory94.643N/mm. According to the action length of the hanging plate spring, the thickness and the length of the root straight section, the thickness of the end straight section, the elastic modulus and the design requirement value of the transverse rigidity, under the condition that circular arcs at two ends of the cross section of the hanging plate spring are considered, the straight section length, the oblique line section length and the thickness of the oblique line section at different positions of the end straight section of the hanging plate spring of the driving motor are designed.
The invention provides a design method for the length of a straight section at the end part of an oblique hanging plate spring of a high-speed rail driving motor, the design process is shown in figure 1, and the specific design steps are as follows:
(1) calculating equivalent widths of all sections of the oblique line type hanging plate spring of the high-speed rail driving motor based on different cross-sectional shapes:
the two ends of the section of the oblique line type hanging plate spring of the high-speed rail driving motor are arc-shaped, the width B is 80mm, and the thickness h of the root straight section2Thickness h of flat end section of 20mm18mm, average thickness h of diagonal segmentp＝(h1+h2) The equivalent width b of the root straight section of the oblique hanging plate spring of the high-speed rail driving motor under the condition of considering the circular arcs at the two ends of the cross section is 14mm2Equal width b of straight end section1And the average equivalent width b of the diagonal line segmentxpPerform calculations, i.e.
(2) Flexibility R of straight section at root of oblique line type hanging plate spring of high-speed rail driving motord2The calculation of (2):
according to the thickness h of the root straight section of the oblique line type hanging plate spring of the high-speed rail driving motor220mm, 550mm, and the length L from the root of the diagonal line segment to the end point of the plate spring2x500mm, modulus of elasticity E206 GPa, end point b calculated in step (1)2The flexibility R of the straight section of the root of the oblique line type hanging plate spring of the high-speed rail driving motor is 71.8mmd2Perform calculations, i.e.
(3) Flexibility R of straight section and inclined section of end part of hanging plate spring of high-speed rail driving motord1And RdpExpression (c):
according to the thickness h of the root straight section of the oblique line type hanging plate spring of the high-speed rail driving motor2Thickness h of flat end section of 20mm18mm, the elastic modulus E206 GPa, and the length L from the root of the oblique line segment to the end point of the plate spring2xB calculated in step (1) 500mm176.7mm and bex74.2mm, in the length L of the end straight section1Establishing the flexibility R of the straight section at the end part of the oblique line type hanging plate spring of the high-speed rail driving motor for the parameter to be solvedd1And the compliance of the diagonal segment RdxIs expressed by
In the formula (I), the compound is shown in the specification,
(4) straight section length L of end part of oblique line hanging plate spring of high-speed rail driving motor1The design mathematical model and the design thereof are as follows:
according to the design requirement value K of the transverse rigidity of the oblique line type hanging plate spring of the high-speed rail driving motoryR calculated in step (2) 94.643N/mmd2＝1.399×10-3mm/N, R established in step (3)d1And RdxBy the length L of the end flat section1Establishing the length L of the straight section at the end part of the oblique line type hanging plate spring of the high-speed rail driving motor for the parameter to be solved1By designing mathematical models of, i.e.
Using Matlab computing program to calculate the length L of the end straight segment1The design mathematical model is solved to obtain the design value L of the length of the straight section at the end part of the oblique line type hanging plate spring of the high-speed rail driving motor1＝70mm。
(5) The design of the oblique line section length and the oblique line section thickness at different positions of the oblique line type hanging plate spring of the high-speed rail driving motor:
i, step: design of length of oblique line segment of hanging plate spring of driving motor
According to the length L from the root of the oblique line section of the oblique line type hanging plate spring of the high-speed rail driving motor to the end point of the plate spring2xL designed in step (4) of 500mm1The length L of the oblique line section of the oblique line type hanging plate spring of the high-speed rail driving motor is 70mmxIs designed, i.e.
Lx＝L2p-L1＝430mm；
II, step (2): design of thicknesses of oblique line segments of hanging plate spring of driving motor at different positions
According to the length L from the root of the oblique line section of the oblique line type hanging plate spring of the high-speed rail driving motor to the end point of the plate spring2x500mm, thickness h of the root flat section2Thickness h of flat end section of 20mm1L designed in step (4) of 8mm1The thickness h of the oblique line section of the oblique line type hanging plate spring of the high-speed rail driving motor at different positions x is 70mmxIs designed, i.e.
Wherein the thickness h of the oblique line section of the oblique line type hanging plate spring of the high-speed rail driving motor at different positions x is obtained through designxThe design values of (A) are shown in Table 1,
TABLE 1 thickness h of the oblique line segment of the hanging plate spring at different positions xxDesign value of
| x/mm | 70.0 | 117.78 | 165.56 | 213.33 | 261.11 | 308.89 | 356.67 | 404.44 | 452.22 | 500.0 |
| hx/mm | 8.0 | 9.33 | 10.67 | 12.0 | 13.33 | 14.67 | 16.0 | 17.33 | 18.67 | 20.0 |
Example two: it is known that both ends of the cross section of the oblique line type hanging plate spring of a certain high-speed rail driving motor are in an arc shape except the thickness h of a root straight section221mm and the design requirement value K of transverse rigidityyExcept 98.977N/mm, the other structural parameters are the same as those of the first embodiment, namely the thickness h of the flat section at the root of the leaf spring2Thickness h of flat end section of 21mm18mm, and the thickness ratio β of the diagonal line segment is h1/h20.381; average thickness h of diagonal segmentsp＝(h1+h2) 14.5 mm/2. The design steps of the first embodiment are adopted, the straight section length, the oblique section length and the thickness of the oblique section at different positions of the end part of the oblique hanging plate spring of the high-speed rail driving motor are designed, namely:
(1) calculating equivalent widths of all sections of the oblique line type hanging plate spring of the high-speed rail driving motor based on different cross-sectional shapes:
according to the technical scheme, two ends of the cross section of the hanging plate spring of the driving motor are semicircular arcs, the width B is 80mm, and the thickness h of the root straight section2Thickness h of flat end section of 21mm18mm, average thickness h of diagonal segmentpThe equivalent width b of the root straight section of the drive motor hanging plate spring under the condition of considering the circular arcs at the two ends of the section is 14.5mm2Equal width b of straight end section1And the equivalent thickness b of the diagonal line segmentxpPerform calculations, i.e.
(2) Calculating the flexibility of the straight section at the root of the oblique line type hanging plate spring of the high-speed rail driving motor:
according to the thickness h of the root straight section of the hanging plate spring221mm, the action length L of the hanging plate spring is 550mm, and the length L from the root of the oblique line segment to the end point of the plate spring2p500mm, modulus of elasticity E206 GPa, end point b calculated in step (1)2The flexibility R of the flat straight section of the root of the plate spring is hung on the driving motor which is 71.8mmd2Perform calculations, i.e.
(3) Flexibility R of straight section and inclined section of end part of oblique line type hanging plate spring of high-speed rail driving motord1And RdpExpression (c):
according to the thickness h of the root straight section of the oblique line type hanging plate spring of the high-speed rail driving motor2Thickness h of flat end section of 21mm18mm, the elastic modulus E206 GPa, and the length L from the root of the oblique line segment to the end point of the plate spring2xB calculated in step (1) 500mm176.7mm and bex74.0mm, in the length L of the end straight section1Establishing the flexibility R of the straight section at the end part of the oblique line type hanging plate spring of the high-speed rail driving motor for the parameter to be solvedd1And the compliance of the diagonal segment RdxIs expressed by
In the formula (I), the compound is shown in the specification,
(4) straight section length L of end part of oblique line type hanging plate spring of high-speed rail driving motor1The design of (2):
according to the design requirement value K of the transverse rigidity of the hanging plate spring of the driving motoryR calculated in step (2) 101.03N/mmd2＝1.216×10-3mm/N, R established in step (3)d1And RdxBy the length L of the end flat section1Establishing the length L of the straight section at the end part of the oblique line type hanging plate spring of the high-speed rail driving motor for the parameter to be solved1By designing mathematical models of, i.e.
Using Matlab computing program to calculate the length L of the end straight segment1The design mathematical model is solved to obtain the design value L of the length of the straight section at the end part of the oblique line type hanging plate spring of the high-speed rail driving motor1＝90mm。
(5) The design of the oblique line section length and the oblique line section thickness at different positions of the oblique line type hanging plate spring of the high-speed rail driving motor:
i, step: design of oblique line segment length of oblique line type hanging plate spring of high-speed rail driving motor
According to the length L from the root of the oblique line section to the end point of the plate spring2xL designed in step (4) of 500mm1The length L of the oblique line section of the oblique line type hanging plate spring of the high-speed rail driving motor is 90mmxIs designed, i.e.
Lx＝L2x-L1＝410mm；
II, step (2): design of thicknesses of oblique line sections of oblique line type hanging plate spring of high-speed rail driving motor at different positions
According to high-speed railway driving motor diagonal type hangThe length L from the root of the oblique line section of the hanging plate spring to the end point of the plate spring2x500mm, thickness h of the root flat section2Thickness h of flat end section of 21mm1L designed in step (4) of 8mm1The thickness h of the oblique line section of the oblique line type hanging plate spring of the high-speed rail driving motor at different positions x is 90mmxIs designed, i.e.
Wherein the thickness h of the oblique line section of the oblique line type hanging plate spring of the high-speed rail driving motor at different positions x is obtained through designxThe design values of (A) are shown in Table 1,
TABLE 2 thickness h of the oblique line segment of the hanging plate spring at different positions xxDesign value of
| x/mm | 90.0 | 135.56 | 181.11 | 226.67 | 272.22 | 317.78 | 363.33 | 408.89 | 454.44 | 500.00 |
| hx/mm | 8.0 | 9.44 | 10.89 | 12.33 | 13.78 | 15.22 | 16.67 | 18.11 | 19.56 | 21.0 |
Example three: the two ends of the cross section of the oblique line type hanging plate spring of a certain high-speed rail driving motor are known to be in a chamfer type, except for the design requirement value K of the shape and the transverse rigidity of the two ends of the cross sectionyThe other structural parameters except 112.09N/mm are identical to those of the second embodiment. I.e. the thickness h of the straight section of the root2Thickness h of the end straight section of 21mm18mm, average thickness h of diagonal segmentp＝(h1+h2) 14.5mm is/2; ratio k of chamfer radius to thickness of root straight sectionr2＝r2/h 21/5, the ratio k of the chamfer radius to the thickness of the end straight sectionr1＝r1/h 11/5, the ratio k of the average chamfer radius to the thickness of the diagonal segmentrp＝rp/h p1/5. According to the design requirement values of the action length, the length of the root straight section, the thickness and the elastic modulus of the end straight section and the transverse rigidity of the hanging plate spring, under the condition that chamfers are arranged at two ends of the cross section of the hanging plate spring, the end straight section length, the oblique section length and the thickness of the oblique section at different positions of the oblique line type hanging plate spring of the high-speed rail driving motor are designed.
The same design steps as those of the first embodiment are adopted to design the straight section length, the oblique section length and the thickness of the oblique section at different positions of the end part of the oblique hanging plate spring of the high-speed rail driving motor, namely:
(1) calculating equivalent widths of all sections of the oblique line type hanging plate spring of the high-speed rail driving motor based on different cross-sectional shapes:
the two ends of the section of the oblique line type hanging plate spring of the high-speed rail driving motor are chamfers, the width B is 80mm, and the thickness h of the root straight section2Thickness h of flat end section of 21mm18mm, average thickness h of diagonal segmentp＝(h1+h2) 14.5mm is/2; the ratio gamma of the thickness to the width of the root straight section of the suspension plate spring of the driving motor2＝h20.2625, the ratio γ of the thickness to the width of the end straight section1＝h10.2, the ratio of the average thickness to the width of the diagonal segment γp＝hp0.1812, the chamfer radius r of the root straight section of the suspension plate spring of the driving motor with the chamfer sectiond2＝h24.2mm, chamfer radius r of end straight sectiond1＝h11.6mm, average chamfer radius r of diagonal segmentdp＝hp2.9 mm/5; ratio k of chamfer radius to thickness of root straight sectionr2＝rd2/h21/5, the ratio k of the chamfer radius to the thickness of the end straight sectionr1＝rd1/h11/5, the ratio k of the average chamfer radius to the thickness of the diagonal segmentrp＝rdp/hp1/5, the equivalent width b of the root straight section of the oblique line type hanging plate spring of the high-speed rail driving motor under the condition of considering the chamfers at the two ends of the cross section2Equivalent width b of the end straight section1And the average equivalent thickness b of the diagonal line segmentxpPerform calculations, i.e.
(2) Calculating the flexibility of the straight section at the root of the oblique line type hanging plate spring of the high-speed rail driving motor:
according to the thickness h of the root straight section of the oblique line type hanging plate spring of the high-speed rail driving motor221mm, 550mm, and the length L from the root of the diagonal line segment to the end point of the leaf spring2p500mm, modulus of elasticity E206 GPa, end point b calculated in step (1)278.2mm, and the flexibility R of the straight section of the root part of the oblique line type hanging plate spring of the high-speed rail driving motord2Perform calculations, i.e.
(3) The expression of the end straight section and oblique section flexibility of the oblique line type hanging plate spring of the high-speed rail driving motor is as follows:
according to the thickness h of the root straight section of the oblique line type hanging plate spring of the high-speed rail driving motor2Thickness h of the end straight section of 21mm18mm, 550mm, and the length L from the root of the diagonal line segment to the end point of the plate spring2x500mm, modulus of elasticity E206 GPa, b calculated in step (1)179.3mm and bep78.8mm, in the length L of the end straight section1Establishing the flexibility R of the end straight section of the oblique line type hanging plate spring of the high-speed rail driving motor for the parameter to be solvedd1And the compliance of the diagonal segment RdpIs expressed by
In the formula (I), the compound is shown in the specification,
(4) the design of the length of the straight section at the end part of the oblique line type hanging plate spring of the high-speed rail driving motor is as follows:
according to the design requirement value K of the transverse rigidity of the oblique line type hanging plate spring of the high-speed rail driving motoryR calculated in step (2) 112.09N/mmd2＝1.109×10-3mm/N, R established in step (3)d1And RdxBy the length L of the end flat section1Establishing the length L of the straight section at the end part of the oblique line type hanging plate spring of the high-speed rail driving motor for the parameter to be solved1By designing mathematical models of, i.e.
Utilizing a Matlab calculation program to calculate the length L of the straight section at the end part of the plate spring hung on the driving motor1The design mathematical model of (2) is solved to obtain a design value L of the length of the straight section of the end part of the hanging plate spring1＝70mm。
(5) The design of leaf spring bias segment length and in different positions thickness is hung to high-speed railway driving motor bias type:
i, step: design of length of oblique line segment of hanging plate spring of driving motor
According to the length L from the root of the oblique line section to the end point of the plate spring2xL designed in step (4) of 500mm1The length L of the oblique line type hanging plate spring for the high-speed rail driving motor is 90mmxIs designed, i.e.
Lx＝L2x-L1＝410mm；
II, step (2): design of thicknesses of oblique line segments of hanging plate spring of driving motor at different positions
According to the length L from the root of the oblique line segment to the end point of the plate spring2xL designed in step (4) of 500mm1Thickness h of the root flat section of 90mm2Thickness h of flat end section of 21mm2The thickness h of the oblique line section of the oblique line type hanging plate spring of the high-speed rail driving motor at different positions x is 8mmxIs designed, i.e.
Wherein, the thickness h of the designed oblique line segment of the hanging plate spring at different positions xxThe design values of (A) are shown in Table 3,
TABLE 3 thickness h of the oblique line segment of the hanging plate spring at different positions xxDesign value of
| x/mm | 70.0 | 117.78 | 165.56 | 213.33 | 261.11 | 308.89 | 356.67 | 404.44 | 452.22 | 500.00 |
| hx/mm | 8.0 | 9.44 | 10.89 | 12.33 | 13.78 | 15.22 | 16.67 | 18.11 | 19.56 | 21.0 |
Example four: the shapes of two ends of the cross section of the oblique line type hanging plate spring of a certain high-speed rail driving motor are known to be chamfer type, except for the design requirement value K of the thickness of a straight section at the root and the transverse rigidityyThe structural parameters are exactly the same as in example three except for 98.091N/mm, where the root flat section thickness h220mm, thickness h of the end straight section18 mm. And designing the lengths of the straight sections and the thicknesses of the oblique sections at different positions of the oblique section of the high-speed rail driving motor according to the action length of the oblique section hanging plate spring, the thickness and the length of the straight section at the root part, the thickness and the elastic modulus of the straight section at the end part and the design required values of the transverse rigidity.
The same design steps as the three phases of the embodiment are adopted to design the thickness of the straight section and the thickness of the oblique section at different positions of the end part of the oblique line type hanging plate spring of the high-speed rail driving motor, namely:
(1) calculating equivalent widths of all sections of the oblique line type hanging plate spring of the high-speed rail driving motor based on different cross-sectional shapes:
the width B of the hanging plate spring of the driving motor with the chamfered section is 80mm, and the thickness h of the root straight section2Thickness h of flat end section of 20mm18mm, average thickness h of diagonal segmentp＝(h1+h2) 14mm is/2; the ratio of the thickness to the width of the root flat section gamma2＝h20.25, the ratio of the thickness to the width of the end straight section gamma1＝h10.2, the ratio of the average thickness to the width of the diagonal segment γp＝hp0.175 parts of/B; root part of hanging plate spring of driving motor with chamfered sectionChamfer radius r of straight sectiond2＝h24.0 mm/5, chamfer radius r of the end straight sectiond1＝h11.6mm, average chamfer radius r of diagonal segmentdp＝hp2.8 mm/5; ratio k of chamfer radius to thickness of root straight sectionr2＝rd2/h21/5, the ratio k of the chamfer radius to the thickness of the end straight sectionr1＝rd1/h11/5, the ratio k of the average chamfer radius to the thickness of the diagonal segmentrp＝rdp/hp1/5, the equivalent width b of the straight section at the root of the oblique line type hanging plate spring of the high-speed rail driving motor under the condition of considering the chamfers at the two ends of the cross section2Equivalent width b of the end straight section1And the average equivalent thickness b of the diagonal line segmentxpPerform calculations, i.e.
(2) Calculating the flexibility of the straight section at the root of the oblique line type hanging plate spring of the high-speed rail driving motor:
according to the thickness h of the root straight section of the oblique line type hanging plate spring of the high-speed rail driving motor220mm, the action length L of the hanging plate spring is 550mm, and the length L from the root of the oblique line segment to the end point of the plate spring2p500mm, modulus of elasticity E206 GPa, end point b calculated in step (1)278.3mm, and the flexibility R of the straight section of the root part of the oblique line type hanging plate spring of the high-speed rail driving motord2Perform calculations, i.e.
(3) The expression of the flexibility of the straight section and the oblique section of the end part of the plate spring is hung in the oblique line type of the high-speed rail driving motor:
according to the thickness h of the root straight section of the oblique line type hanging plate spring of the high-speed rail driving motor220mm, thickness h of the end straight section18mm, 550mm, and the length L from the root of the diagonal line segment to the end point of the plate spring2x500mm, modulus of elasticity E206 GPa, b calculated in step (1)179.3mm and bxp78.8mm, in the length L of the end straight section1Establishing the flexibility R of the end straight section of the oblique line type hanging plate spring of the high-speed rail driving motor for the parameter to be solvedd1And the compliance of the diagonal segment RdxIs expressed by
In the formula (I), the compound is shown in the specification,
(4) the design of the length of the straight section at the end part of the oblique line type hanging plate spring of the high-speed rail driving motor is as follows:
according to the design requirement value K of the transverse rigidity of the oblique line type hanging plate spring of the high-speed rail driving motoryR calculated in step (2) 98.091N/mmd2＝1.283×10-3mm/N, R established in step (3)d1And RdxBy the length L of the end flat section1Establishing the length L of the straight section at the end part of the oblique line type hanging plate spring of the high-speed rail driving motor for the parameter to be solved1By designing mathematical models of, i.e.
Utilizing a Matlab calculation program to calculate the length L of the straight section at the end part of the plate spring hung on the driving motor1The design mathematical model of (2) is solved to obtain a design value L of the length of the straight section of the end part of the hanging plate spring1＝80mm。
(5) The design of leaf spring bias segment length and in different positions thickness is hung to high-speed railway driving motor bias type:
i, step: design of length of oblique line segment of hanging plate spring of driving motor
According to the length L from the root of the oblique line section to the end point of the plate spring2xL designed in step (4) of 500mm180mm, and the length L of the oblique line section of the oblique line type hanging plate spring of the high-speed rail driving motorxIs designed, i.e.
Lx＝L2x-L1＝420mm；
II, step (2): design of thicknesses of oblique line segments of hanging plate spring of driving motor at different positions
According to the length L from the root to the end point of the plate spring2xL designed in step (4) of 500mm180mm, thickness h of the root flat section2Thickness h of flat end section of 21mm2The thickness h of the oblique line section of the oblique line type hanging plate spring of the high-speed rail driving motor at different positions x is 8mmxIs designed, i.e.
Wherein, the thickness h of the designed oblique line segment of the hanging plate spring at different positions xxThe design values of (A) are shown in Table 4,
TABLE 4 thickness h of the oblique line segment of the hanging plate spring at different positions xxDesign value of
| x/mm | 80.0 | 126.67 | 173.33 | 220.0 | 266.67 | 313.33 | 360.0 | 406.67 | 453.33 | 500.00 |
| hx/mm | 8.0 | 9.33 | 10.67 | 12.0 | 13.33 | 14.67 | 16.0 | 17.33 | 18.67 | 20.0 |
According to prototype tests, the design method for the straight section length of the end part of the oblique line type hanging plate spring of the high-speed rail driving motor is correct, under the condition that circular arcs or chamfers at two ends of a cross section and translation quantity of the coordinate origin of the oblique line section are considered, the design values of the straight section length, the parabolic length and the thickness of the oblique line section at different positions of the end part of the hanging plate spring of the driving motor, which meet the rigidity design requirements, can be obtained, a reliable technical method is provided for the design of the hanging plate spring of the driving motor, and a reliable technical basis is laid for digital manufacturing.
Claims (4)
1. A design method for the length of a straight section at the end part of a diagonal type hanging plate spring of a high-speed rail driving motor is characterized by comprising the following steps of: the high-speed rail driving motor hanging plate spring is composed of a root straight section, an inclined line section and an end straight section; the shapes of two ends of the cross section can be divided into an arc type and a chamfer type; according to the design requirement values of the shapes of two ends of different sections, the action length, the thickness and the length of a root straight section, the thickness of an end straight section, the elastic modulus and the transverse rigidity of the oblique line type hanging plate spring of the high-speed rail driving motor, the lengths of the end straight sections of the oblique line type hanging plate spring of the high-speed rail driving motor based on the shapes of the end parts of the different sections are designed, and the lengths and the thicknesses of the oblique line sections at different positions are designed on the basis, and the oblique line type hanging plate spring is characterized by mainly comprising the following steps:
(1) calculating equivalent widths of each section of the hanging plate spring based on the high-speed rail driving motors with different section shapes:
calculating the equivalent width of each section of the hanging plate spring of the driving motor according to different cross-sectional shapes of the hanging plate spring, namely
a, step a: calculation of equivalent width of each section of hanging plate spring of section arc type high-speed rail driving motor
According to the width B of the hanging plate spring of the section arc type high-speed rail driving motor and the thickness h of the root straight section2Thickness h of the end straight section1Average thickness h of diagonal line segmentp＝(h1+h2) 2, equivalent width b of root straight section of hanging plate spring of section arc type high-speed rail driving motor2Equal width b of straight end section1And the average equivalent width b of the diagonal line segmentxPerform calculations, i.e.
b, step (b): calculation of equivalent width of each section of hanging plate spring of section chamfer type high-speed rail driving motor
According to the width B of the hanging plate spring and the thickness h of the root straight section2Thickness h of the end straight section1Average thickness h of diagonal line segmentp＝(h1+h2) /2, the ratio γ of the thickness to the width of the root flat section2＝h2B, the ratio of the thickness to the width of the end straight section gamma1＝h1B, the ratio γ of the average thickness of the diagonal segments to the widthp＝hpB chamfer radius r of root straight sectiond2Radius r of chamfer of straight end sectiond1Average chamfer radius r of diagonal segmentdp(ii) a Ratio k of chamfer radius to thickness of root straight sectionr2＝rd2/h2The ratio k of the chamfer radius to the thickness of the end straight sectionr1＝rd1/h1The ratio k of the average chamfer radius to the thickness of the diagonal segmentrp＝rdp/hpFor the equivalent width b of the flat and straight section of the root of the plate spring under the condition of considering the chamfers at the two ends of the cross section2Equivalent width b of the end straight section1And the average equivalent thickness b of the diagonal line segmentxpPerform calculations, i.e.
(2) Flexibility R of straight section at root of oblique line type hanging plate spring of high-speed rail driving motord2The calculation of (2):
according to the thickness h of the root straight section of the hanging plate spring2Length L of action of the suspension leaf spring, root of the diagonalLength L to the end of the leaf spring2pElastic modulus E, calculation of end point b in step (1)2For the flexibility R of the root straight section of the drive motor hanging plate springd2Perform calculations, i.e.
(3) Flexibility R of straight section and inclined section of end part of oblique line type hanging plate spring of high-speed rail driving motord1And RdxEstablishing an expression:
(4) straight section length L of end part of oblique line type hanging plate spring of high-speed rail driving motor1The design of (2):
(5) the design of the length and the thickness of the oblique line section of the oblique line type hanging plate spring of the high-speed rail driving motor at different positions.
2. The compliance R of the straight section and the oblique section of the end part of the oblique hanging plate spring of the high-speed rail driving motor according to the step (3) of claim 1d1And RdxThe establishment of the expression is characterized in that:
according to the thickness h of the root straight section of the oblique line type hanging plate spring of the high-speed rail driving motor2Thickness h of the end straight section1The thickness ratio β of diagonal line segment is h1/h2Length L from root of diagonal segment to end point of plate spring2xElastic modulus E, b calculated in step (1) of claim 11And bxpWith end straight section L1Establishing the transverse flexibility R of the straight section and the inclined line section of the end part of the oblique line type hanging plate spring of the high-speed rail driving motor for the parameter to be solvedd1And RdxIs expressed by
In the formula (I), the compound is shown in the specification,
3. the length L of the straight section at the end of the oblique hanging plate spring of the high-speed rail driving motor according to the step (4) of claim 11The design of (2), its characterized in that:
according to the design requirement value K of the transverse rigidityyR calculated in step (2) of claim 1d2R established in claim 2d1And RdpBy the length L of the end flat section1For the parameters to be solved, the length L of the straight section at the end part of the hanging plate spring of the driving motor is established1By designing mathematical models of, i.e.
Utilizing a Matlab calculation program to calculate the length L of the straight section at the end part of the plate spring hung on the driving motor1The designed mathematical model is solved to obtain the length L of the straight section at the end part of the oblique line type hanging plate spring of the high-speed rail driving motor1Design value of (c).
4. The design of the length and thickness of the diagonal line of the oblique line type hanging plate spring of the high-speed rail driving motor according to the step (5) of claim 1 is characterized by comprising the following steps:
i, step: drive motor hangs leaf spring bias line segment length LxDesign (2) of
According to the length L from the root of the oblique line section of the oblique line type hanging plate spring of the high-speed rail driving motor to the end point of the plate spring2xL designed in claim 31Length L of oblique line segment of suspension plate spring for driving motorxIs designed, i.e.
Lx＝L2x-L1；
IV, step (2): design of thicknesses of oblique line segments of hanging plate spring of driving motor at different positions x
According to the thickness h of the straight section at the root of the oblique line type hanging plate spring of the high-speed rail driving motor2Thickness h of the end straight section1The length L from the root of the oblique line segment of the hanging leaf spring to the end point of the leaf spring2xL designed in claim 31For the thickness h of the oblique line section of the oblique line type hanging plate spring of the high-speed rail driving motor at different positions xxIs designed, i.e.
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| CN112329174A (en) * | 2020-11-12 | 2021-02-05 | 山东太岳汽车弹簧制造有限公司 | Design method of trailer air suspension system with oblique guide arm |
| CN112507450A (en) * | 2020-11-28 | 2021-03-16 | 山东汽车弹簧厂淄博有限公司 | Design method of non-isometric few-piece standard parabolic variable-section plate spring |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN112329174A (en) * | 2020-11-12 | 2021-02-05 | 山东太岳汽车弹簧制造有限公司 | Design method of trailer air suspension system with oblique guide arm |
| CN112329174B (en) * | 2020-11-12 | 2021-09-28 | 山东太岳汽车弹簧制造有限公司 | Design method of trailer air suspension system with oblique guide arm |
| CN112507450A (en) * | 2020-11-28 | 2021-03-16 | 山东汽车弹簧厂淄博有限公司 | Design method of non-isometric few-piece standard parabolic variable-section plate spring |
| CN112507450B (en) * | 2020-11-28 | 2022-08-19 | 山东汽车弹簧厂淄博有限公司 | Design method of non-isometric few-piece standard parabolic variable-section plate spring |
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