Judgment method and system for generating spinning stable forming of external cross rib cylindrical component

Abstract

The invention provides a method and system for judging generating spinning stable forming of an external cross rib cylindrical component. The method comprises the steps that the shape of the finally-formed external cross rib cylindrical component and the shape of a roller die are designed; solving the allowable maximum perimeter Cmax (c) of the inner circle of the outer crossed rib cylindrical component related to the rolling wheel pressing amount c; the method comprises the following steps of: performing analog simulation on generating spinning forming of an external crossed rib cylindrical component, selecting sampling points of an inner circle of the cylindrical component, and extracting and calculating data of the sampling points to obtain the change of the inner circumference C (c) of the cylindrical component in the whole generating spinning forming process; and comparing the allowable maximum perimeter Cmax (c) of the inner circle of the outer cross rib cylindrical component with the actual perimeter C (c) of the inner circle of the cylindrical component in the generating spinning forming process, and judging the generating spinning stable forming of the outer cross rib cylindrical component.

Description

Technical Field

[0001] The present invention relates to the technical field of plastic processing of cylindrical parts, and specifically, to a method and system for judging the stable forming of a developed spinning of an external cross-rib cylindrical member. Background Art

[0002] The plastic processing technology of ribbed cylindrical members is developing towards the direction of integration, and the target forming parts are gradually expanded from simple cylindrical members with unidirectional longitudinal ribs or transverse ribs to complex cross-rib cylindrical members. The developed spinning forming of ribbed cylindrical members can realize the integrated forming of complex cross-rib cylindrical members. Since the external cross-rib cylindrical member requires a large amount of deformation during the developed spinning forming process and there is no radial and circumferential constraint during the forming process, it is easy to cause the workpiece to expand in diameter, resulting in the misalignment defect between the longitudinal ribs and the roller rib grooves, thus affecting the product quality.

[0003] Through literature research, it is found that there is little research on the diameter expansion of the developed spinning forming of the current external cross-rib cylindrical member, and there is no public report on the method for judging the stable forming of the developed spinning of the external cross-rib cylindrical member with diameter expansion, indicating that there is still room for further exploration and development in this field. Summary of the Invention

[0004] Aiming at the defects in the prior art, the purpose of the present invention is to provide a method and system for judging the stable forming of a developed spinning of an external cross-rib cylindrical member.

[0005] According to a method for judging the stable forming of a developed spinning of an external cross-rib cylindrical member provided by the present invention, it includes

[0006] Step S1: Design the shape of the finally formed external cross-rib cylindrical member and the shape of the roller die according to the requirements of the developed spinning process;

[0007] Step S2: Solve the maximum allowable inner circle circumference C of the external cross-rib cylindrical member related to the roller downward pressure c through the geometric dimension relationship between the external cross-rib cylindrical member and the roller max (c);

[0008] Step S3: Carry out simulation and simulation on the developed spinning forming of the external cross-rib cylindrical member through finite element software, select sampling points on the inner circle of the cylindrical member, extract and calculate the sampling point data, and obtain the change of the inner circle circumference size C(c) of the cylindrical member during the whole developed spinning forming process;

[0009] Step S4: Compare the maximum allowable inner circle circumference C of the external cross-rib cylindrical member max (c) with the actual inner circle circumference C(c) of the cylindrical member during the developed spinning forming process. When the actual inner circle circumference C(c) is less than the maximum allowable circumference C during the whole forming process max(c), it can be formed stably by roll forming; when the actual inner circumference C(c) exceeds the allowable maximum circumference C max (c), it indicates that the longitudinal bars of the outer cross-rib cylindrical member are misaligned with the rib grooves of the roller, and the roll forming cannot be formed stably.

[0010] Preferably, the outer cross-rib cylindrical member and the roller die in the step S1 need to meet the following requirements:

[0011] The cross-section of the longitudinal bars of the standard outer cross-rib cylindrical member is an involute tooth profile cross-section, and the rib heights of the longitudinal bars and the transverse ribs should meet the tooth height calculation method of involute spur gears;

[0012] The roller die is designed based on the principle of generating motion with the outer cross-rib cylindrical member, and the pitch diameter of the roller should not be less than 17 times the module of the roller.

[0013] Preferably, the step S2 includes:

[0014] Step S2.1: Obtain the basic parameters of the outer cross-rib cylindrical member. The basic parameters of the outer cross-rib cylindrical member include: module m, pitch circle pressure angle α, pitch circle radius r 1 and the number of longitudinal bars z 1 ; obtain the basic parameters of the roller. The basic parameters of the roller include: pitch circle radius r 2 and the number of longitudinal bar rib grooves z 2 ; obtain the basic parameters of the initial cylindrical blank. The basic parameters of the initial cylindrical blank include: outer circle radius r b,out and inner circle radius r b,in ;

[0015] Step S2.2: Determine the allowable maximum inner circumference C of the outer cross-rib cylindrical member max (c) The parameters required, including: the top radius r of the longitudinal bars of the outer cross-rib cylindrical member a1 , the bottom radius r of the longitudinal bars of the outer cross-rib cylindrical member f1 , the base circle radius r of the outer cross-rib cylindrical member b1 , the top radius r of the longitudinal bar rib grooves of the roller a2 , the bottom radius r of the longitudinal bar rib grooves of the roller f2 , the base circle radius r of the roller b2 , the arc length s of the width of the longitudinal bars and the longitudinal bar rib grooves on the pitch circle;

[0016] Step S2.3: Determine the pressure angle α at the bottom of the longitudinal bars of the outer cross-rib cylindrical member from the base circle radius r of the outer cross-rib cylindrical member b1 and the bottom radius r of the longitudinal bars of the outer cross-rib cylindrical member f1 , and calculate the standard arc length s at the bottom of the longitudinal bars of the finally formed outer cross-rib cylindrical member f1 , and calculate the standard arc length s at the bottom of the longitudinal bars of the finally formed outer cross-rib cylindrical member f1 ;

[0017] Step S2.4: The roller is modified based on the structure of a standard involute spur gear. The base circle radius r of the roller b2 and the top radius r of the longitudinal rib groove of the roller a2 are used to determine the pressure angle α at the tooth tip of the standard involute spur gear a2 , and the standard arc length s at the tooth tip of the standard involute spur gear is calculated a2 ;

[0018] Step S2.5: Based on the standard arc length s at the tooth tip of the standard involute spur gear a2 , the arc length g of the top of the longitudinal rib groove of the roller and the arc length p between the tops of adjacent longitudinal rib grooves of the roller are calculated a2 ; a2 ;

[0019] Step S2.6: In the initial stage of forming, the roller and the cylindrical blank rotate synchronously at a transmission ratio of r 1 :r 2 . When the downward pressure c of the roller is 0, the arc length s of the bottom of the longitudinal ribs initially formed on the cylindrical blank f1 (c = 0) is calculated, and based on the finite element simulation model of the spinning of the externally crossed rib cylindrical component, the relationship function s f1 between the downward pressure c of the roller and the arc length s of the bottom of the longitudinal ribs is obtained f1 (c);

[0020] Step S2.7: Based on the relationship function s f1 (c) of the arc length of the bottom of the longitudinal ribs, the arc length p f1 (c) of each wall panel of the externally crossed rib cylindrical component related to the downward pressure c of the roller and the maximum allowable elongation length Δp f1 (c) of each wall panel of the externally crossed rib cylindrical component are calculated

[0021] Step S2.8: Based on the maximum allowable elongation length Δp f1 (c) of each wall panel of the externally crossed rib cylindrical component, the maximum allowable elongation amount E p,max (c) of the outer circumference of the wall panel during the forming process and the maximum allowable circumferential perimeter C p,max (c) of the outer circumference of the wall panel are calculated

[0022] Step S2.9: Based on the maximum allowable circumferential perimeter C p,max (c) of the outer circumference of the wall panel, the maximum allowable circumferential perimeter C max (c) of the inner circumference of the externally crossed rib cylindrical component is obtained

[0023] Preferably, the step S2.2 includes:

[0024]

[0025] rb1 = r 1 cosα

[0026]

[0027] r b2 = r 2 cosα

[0028] s = πm / 2

[0029] where r 1 represents the pitch circle radius of the external crossed rib cylindrical member, represents the addendum coefficient, m represents the module, c * represents the clearance coefficient, α represents the pitch circle pressure angle of the external crossed rib cylindrical member, r 2 represents the pitch circle radius of the roller.

[0030] Preferably, the step S2.3 includes:

[0031] α f1 = cos -1 r b1 / r f1

[0032] s f1 = s·r f1 / r 1 - 2r f1 (invα f1 - invα)

[0033] where invα f1 = tanα f1 - α f1 , invα = tanα - α;

[0034] The step S2.4 includes:

[0035] α a2 = cos -1 r b2 / r a2

[0036] s a2 = s·r a2 / r 2 - 2r a2 (invα a2 - invα)

[0037] where invα a2 = tanα a2 - α a2 , invα = tanα - α.

[0038] Preferably, the step S2.5 includes:

[0039] g a2 =(2πr a2 -2s a2 ·r 2 / m) / (2r 2 / m)

[0040] p a2 =(2πr a2 -z 2 g a2 ) / z 2 ;

[0041] The step S2.6 includes:

[0042] s f1 (c = 0)=g a2 ·r 1 r 2 / (r 1 r a2 )=g a2 ·r 2 / r a2

[0043] Based on the finite element simulation model of the cross-ribbed cylindrical component's spinning process, the relationship function s f1 (c) between the downward pressure c of the roller and the bottom arc length s of the longitudinal ribs can be obtained. f1 (c).

[0044] Preferably, the step S2.7 includes:

[0045] p f1 (c)=[2π(r 1 -c)-z 1 s f1 (c)] / z 1

[0046] Δp f1 (c)=p a2 -p f1 (c)

[0047] The step S2.8 includes:

[0048] E p,max (c)=z 1 Δp f1 (c)

[0049] C p,max (c)=2π(r 1 -c)+E p,max (c)

[0050] The step S2.9 includes:

[0051] C max (c) = C p,max (c)·r b,in / (r b,out - c).

[0052] Preferably, the step S3 includes:

[0053] Step S3.1: Establish a finite element model for the profile roll forming of the external cross - rib cylindrical component;

[0054] Step S3.2: After the finite element model simulation is completed, select sampling points on the inner circumference of the cylindrical component in the post - processing interface, and the coordinate data of the sampling points at all working steps will be retained in the text;

[0055] Step S3.3: Extract and calculate the sampling point data to obtain the change in the inner - circle circumference size C(c) of the cylindrical component during the entire profile roll forming process.

[0056] Preferably, the step S4 includes: comparing the maximum allowable inner - circle circumference C max (c) of the external cross - rib cylindrical component with the actual inner - circle circumference C(c) of the cylindrical component during the profile roll forming process. When the actual inner - circle circumference C(c) is less than the maximum allowable circumference C max (c) throughout the forming process, the profile roll forming can be stably formed; when the actual inner - circle circumference C(c) exceeds the maximum allowable circumference C max (c), it indicates that the longitudinal ribs and the roller rib grooves are misaligned, and the profile roll forming cannot be stably formed.

[0057] According to an external cross - rib cylindrical component profile roll forming stability judgment system provided by the present invention, it includes

[0058] Module M1: Design the shape of the finally formed external cross - rib cylindrical component and the shape of the roller die according to the requirements of the profile roll forming process;

[0059] Module M2: Solve the maximum allowable inner - circle circumference C max (c) of the external cross - rib cylindrical component related to the downward pressure c of the roller through the geometric dimension relationship between the external cross - rib cylindrical component and the roller;

[0060] Module M3: Simulate and analyze the profile roll forming of the external cross - rib cylindrical component through finite - element software, select sampling points on the inner circle of the cylindrical component, extract and calculate the sampling point data, and obtain the change in the inner - circle circumference size C(c) of the cylindrical component during the entire profile roll forming process;

[0061] Module M4: Compare the maximum allowable inner - circle circumference C max(c) Compare with the actual inner circumference C(c) of the cylindrical component during the generating spinning process. When the actual inner circumference C(c) is less than the allowable maximum circumference C throughout the forming process max (c), then the generating spinning can form stably; when the actual inner circumference c(c) exceeds the allowable maximum circumference C max (c), it indicates that the longitudinal ribs are misaligned with the rib grooves of the roller, and the generating spinning cannot form stably.

[0062] Compared with the prior art, the present invention has the following beneficial effects:

[0063] 1. The present invention provides a method for judging the stable forming of an externally crossed-rib cylindrical component based on generating spinning, which provides a judgment basis for whether the externally crossed-rib cylindrical component can be stably formed during the entire generating spinning process;

[0064] 2. The method for judging the stable forming of an externally crossed-rib cylindrical component provided by the present invention can be generally applied to judge the stable forming of externally crossed-rib cylindrical components with different sizes and structures during the generating spinning process. BRIEF DESCRIPTION OF THE DRAWINGS

[0065] By reading the detailed description of the non-restrictive embodiments with reference to the following drawings, other features, objectives and advantages of the present invention will become more obvious:

[0066] Figure 1 It is a schematic flow chart of the method for judging the stable forming of an externally crossed-rib cylindrical component by generating spinning.

[0067] Figure 2 It is the geometric dimensions of the externally crossed-rib cylindrical component.

[0068] Figure 3 It is the geometric dimensions of the roller.

[0069] Figure 4 It is the geometric parameters of the externally crossed-rib cylindrical component and the roller.

[0070] Figure 5 It is the relationship curve and function s of the roller downward pressure c and the bottom arc length s of the longitudinal rib based on simulation f1 f1 (c).

[0071] Figure 6 It is the inner circumferential sampling points of the externally crossed-rib cylindrical component.

[0072] Figure 7 It is the corresponding relationship between the inner circumference of the externally crossed-rib cylindrical component and the roller downward pressure.

[0073] Figure 8 It is when the actual inner circumference C(c) exceeds the allowable maximum circumference C max ​(c) The misalignment phenomenon that occurs. Detailed implementation manners

[0074] The present invention will be described in detail below in conjunction with specific embodiments. The following embodiments will help those skilled in the art to further understand the present invention, but do not limit the present invention in any form. It should be noted that for those of ordinary skill in the art, without departing from the concept of the present invention, several changes and improvements can still be made. These all belong to the protection scope of the present invention.

[0075] Embodiment 1

[0076] According to a method for judging the stable forming of an externally crossed rib cylindrical member by roll-forming, the method compares theoretical calculations with simulation results to judge whether the externally crossed rib cylindrical member can be stably formed, and includes the following steps:

[0077] Step S1: According to the requirements of the roll-forming process, design the shape of the finally formed externally crossed rib cylindrical member and the shape of the roller die;

[0078] Step S2: Through the geometric dimension relationship between the externally crossed rib cylindrical member and the roller, solve the maximum allowable inner circle circumference C max (c) of the externally crossed rib cylindrical member related to the downward pressure c of the roller;

[0079] Step S3: Simulate and simulate the roll-forming of the externally crossed rib cylindrical member through finite element software, select sampling points on the inner circle of the cylindrical member in the post-processing interface, extract and calculate the sampling point data, and obtain the change of the inner circle circumference C(c) of the cylindrical member during the entire roll-forming process;

[0080] Step S4: Compare the maximum allowable inner circle circumference C max (c) of the externally crossed rib cylindrical member with the actual inner circle circumference C(c) of the cylindrical member during the roll-forming process. When the actual inner circle circumference C(c) is less than the maximum allowable circumference C max (c) during the entire forming process, the roll-forming can be stably formed; when the actual inner circle circumference C(c) exceeds the maximum allowable circumference C max (c), it indicates that the longitudinal ribs are misaligned with the roller rib grooves, and the roll-forming cannot be stably formed.

[0081] Specifically, in the step S1, the externally crossed rib cylindrical member and the roller die need to meet:

[0082] The longitudinal rib cross-section of the standard externally crossed rib cylindrical member is an involute tooth profile cross-section, and the rib heights of the longitudinal ribs and the transverse ribs should meet the tooth height calculation method of involute spur gears;

[0083] The roller die is designed based on the generating motion principle of a standard externally crossed rib cylindrical component, and the pitch diameter of the roller shall not be less than 17 times the module of the roller.

[0084] Specifically, the step S2 includes the following steps:

[0085] Step S2.1: Obtain the basic parameters of the externally crossed rib cylindrical component, including the module m, the pitch circle pressure angle α, the pitch circle radius r 1 , the number of longitudinal ribs z 1 , obtain the basic parameters of the roller, including the pitch circle radius r 2 , the number of longitudinal rib grooves z 2 , obtain the basic parameters of the initial cylindrical blank, including the outer circle radius r b,out , the inner circle radius r b,in ;

[0086] Step S2.2: Determine the maximum allowable inner circumference C of the externally crossed rib cylindrical component max The parameters required in (c) include the top radius r of the longitudinal ribs of the externally crossed rib cylindrical component a1 , the bottom radius r of the longitudinal ribs of the externally crossed rib cylindrical component f1 , the base circle radius r of the externally crossed rib cylindrical component b1 , the top radius r of the longitudinal rib grooves of the roller a2 , the bottom radius r of the longitudinal rib grooves of the roller f2 , the base circle radius r of the roller b2 , and the arc length s of the width of the longitudinal ribs and longitudinal rib grooves on the pitch circle;

[0087] Step S2.3: Determine the pressure angle α at the bottom of the longitudinal ribs of the externally crossed rib cylindrical component from the base circle radius r b1 of the externally crossed rib cylindrical component and the bottom radius r f1 of the longitudinal ribs of the externally crossed rib cylindrical component, and calculate the standard arc length s f1 at the bottom of the longitudinal ribs of the finally formed externally crossed rib cylindrical component f1 ;

[0088] Step S2.4: The roller is modified based on the structure of a standard involute spur gear. Determine the pressure angle α b2 at the tooth tip of the standard involute spur gear from the base circle radius r a2 of the roller and the top radius r a2 of the longitudinal rib grooves of the roller, and calculate the standard arc length s a2 at the tooth tip of the standard involute spur gear

[0089] Step S2.5: Calculate the arc length g a2 at the top of the longitudinal rib grooves of the roller and the arc length p a2 between the tops of adjacent longitudinal rib grooves of the roller from the standard arc length s a2 at the tooth tip of the standard involute spur gear;

[0090] Step S2.6: At the initial stage of forming, the roller and the cylindrical blank maintain a transmission ratio of r 1 :r 2 and rotate synchronously. When calculating the downward pressure of the roller c = 0, calculate the bottom arc length s of the longitudinal ribs initially formed on the cylindrical blank f1 (c = 0), and based on the developed spinning finite element simulation model of the external cross-rib cylindrical component, obtain the relationship function s f1 between the downward pressure of the roller c and the bottom arc length s of the longitudinal ribs f1 (c);

[0091] Step S2.7: From the relationship function s f1 (c) of the bottom arc length of the longitudinal ribs, calculate the arc length p f1 (c) of each wall panel of the external cross-rib cylindrical component related to the downward pressure of the roller c and the maximum allowable elongation length Δp f1 (c) of each wall panel of the external cross-rib cylindrical component;

[0092] Step S2.8: From the maximum allowable elongation length Δp f1 (c) of each wall panel of the external cross-rib cylindrical component, calculate the maximum allowable elongation E p,max (c) of the outer circumference of the wall panel during the forming process and the maximum allowable circumference C p,max (c) of the outer circumference of the wall panel;

[0093] Step S2.9: From the maximum allowable circumference C p,max (c) of the outer circumference of the wall panel, obtain the maximum allowable circumference C max (c) of the inner circumference of the external cross-rib cylindrical component.

[0094] Specifically, the parameters r a1 , r f1 , r b1 , r a2 , r f2 , r b2 , s required to be calculated in Step S2.2 are given by the following formula:

[0095]

[0096] r b1 = r 1 cosα

[0097]

[0098] r b2 = r 2 cosα

[0099] s = πm / 2

[0100] In the formula: is the addendum coefficient; c * is the clearance coefficient.

[0101] Specifically, in the step S2.3, the pressure angle α at the bottom of the longitudinal bars of the outer cross-rib cylindrical member f1 and the standard arc length s at the bottom of the longitudinal bars of the finally formed outer cross-rib cylindrical member f1 are given by the following formula:

[0102] α f1 = cos -1 r b1 / r f1

[0103] s f1 = s · r f1 / r 1 - 2r f1 (invα f1 - invα)

[0104] In the formula, invα f1 = tanα f1 - α f1 , invα = tanα - α.

[0105] Specifically, in the step S2.4, the pressure angle α at the tip of the standard involute spur gear a2 and the standard arc length s a2 are given by the following formula:

[0106] α a2 = cos -1 r b2 / r a2

[0107] s a2 = s · r a2 / r 2 - 2r a2 (invα a2 - invα)

[0108] In the formula, invα a2 = tanα a2 - α a2 , invα = tanα - α.

[0109] Specifically, in the step S2.5, the arc length g at the top of the rib groove of the roller longitudinal bar a2 and the arc length p between the tops of the rib grooves of adjacent longitudinal bars of the roller a2 are given by the following formula:

[0110] g a2 = (2πr a2 - 2s a2·r 2 / m) / (2r 2 / m)

[0111] p a2 =(2πr a2 -z 2 g a2 ) / z 2

[0112] Specifically, in the step S2.6, the bottom arc length s of the longitudinal bars initially formed in the tube blank f1 (c = 0) is given by the following formula:

[0113] s f1 (c = 0) = g a2 ·r 1 r 2 / (r 1 r a2 ) = g a2 ·r 2 / r a2

[0114] Based on the developed spinning finite element simulation model of the externally crossed - bar cylindrical member, the relationship function s f1 of the roller downward displacement c and the bottom arc length s of the longitudinal bars can be obtained f1 (c).

[0115] Specifically, in the step S2.7, the arc length p f1 (c) of each wall panel of the externally crossed - bar cylindrical member related to the roller downward displacement c and the maximum extensible length Δp f1 (c) of each wall panel of the externally crossed - bar cylindrical member are given by the following formula:

[0116] p f1 (c) = [2π(r 1 -c)-z 1 s f1 (c)] / z 1

[0117] Δp f1 (c) = p a2 -p f1 (c)

[0118] Specifically, in the step S2.8, the maximum allowable circumferential elongation E p,max (c) of the outer circle of the wall panel during the forming process and the maximum allowable circumferential perimeter C p,max (c) of the outer circle of the wall panel are given by the following formula:

[0119] E p,max (c) = z 1 Δp f1 (c)

[0120] C p,max (c) = 2π(r 1 -c) + E p,max (c)

[0121] Specifically, in the step S2.9, the maximum allowable circumference C max (c) of the inner circle of the outer cross-rib cylindrical member is given by the following formula:

[0122] C max (c) = C p,max (c) · r b,in / (r b,out -c)

[0123] Specifically, the step S3 includes the following steps:

[0124] Step S3.1: Establish a finite element model for the profile rolling and spinning forming of the outer cross-rib cylindrical member;

[0125] Step S3.2: After the simulation of the finite element model is completed, select sampling points on the inner circumference of the cylindrical member in the post-processing interface, and the coordinate data of the sampling points under all working steps will be retained in the text;

[0126] Step S3.3: Extract and calculate the sampling point data to obtain the change in the inner circle circumference C(c) of the cylindrical member during the entire profile rolling and spinning forming process.

[0127] Specifically, in the step S4, the maximum allowable circumference C max (c) of the inner circle of the outer cross-rib cylindrical member is compared with the actual inner circle circumference C(c) of the cylindrical member during the profile rolling and spinning forming process. When the actual inner circle circumference C(c) is less than the maximum allowable circumference C max (c) throughout the forming process, the profile rolling and spinning can be stably formed; when the actual inner circle circumference C(c) exceeds the maximum allowable circumference C max (c), it indicates that the longitudinal ribs are misaligned with the roller rib grooves, and the profile rolling and spinning cannot be stably formed.

[0128] The present invention also provides a system for judging the stable forming of the profile rolling and spinning of an outer cross-rib cylindrical member. The system for judging the stable forming of the profile rolling and spinning of the outer cross-rib cylindrical member can be realized by executing the process steps of the method for judging the stable forming of the profile rolling and spinning of the outer cross-rib cylindrical member. That is, those skilled in the art can understand the method for judging the stable forming of the profile rolling and spinning of the outer cross-rib cylindrical member as the preferred implementation manner of the system for judging the stable forming of the profile rolling and spinning of the outer cross-rib cylindrical member.

[0129] The present invention can effectively serve as a basis for judging whether the longitudinal ribs and the rib grooves of the roller are misaligned during the generating spinning process, so as to judge whether the external cross-rib cylindrical member can be stably formed.

[0130] Embodiment 2

[0131] Embodiment 2 is a preferred example of Embodiment 1

[0132] The method for judging the stable forming of the external cross-rib cylindrical member by generating spinning provided by the present invention, as Figure 1 shown, includes the following steps: Step S1: According to the requirements of the generating spinning process, design the shape of the finally formed external cross-rib cylindrical member and the shape of the roller die; Step S2: Solve the maximum allowable inner circle circumference C max (c) of the external cross-rib cylindrical member related to the downward pressure c of the roller through the geometric dimension relationship between the external cross-rib cylindrical member and the roller; Step S3: Carry out simulation and simulation on the generating spinning forming of the external cross-rib cylindrical member through finite element software, select sampling points on the inner circle of the cylindrical member in the post-processing interface, extract and calculate the sampling point data, and obtain the change of the inner circle circumference C(c) of the cylindrical member during the whole generating spinning forming process; Step S4: Compare the maximum allowable inner circle circumference C max (c) of the external cross-rib cylindrical member with the actual inner circle circumference C(c) of the cylindrical member during the generating spinning forming process. When the actual inner circle circumference C(c) is less than the maximum allowable circumference C max (c) during the whole forming process, the generating spinning can be stably formed; when the actual inner circle circumference C(c) exceeds the maximum allowable circumference C max (c), it indicates that the longitudinal ribs and the rib grooves of the roller are misaligned, and the generating spinning cannot be stably formed.

[0133] In the step S1, the number of longitudinal ribs of the standard external cross-rib cylindrical member is 20, the number of transverse ribs is 3, the pitch circle radius is 60 mm, the outer circle radius is 62 mm, and the inner circle radius is 57 mm; the number of longitudinal rib grooves of the roller is 20, the number of transverse rib grooves is 3, the pitch circle radius is 60 mm, and the outer circle radius is 62 mm.

[0134] The step S2 includes the following steps: Step S2.1: Obtain the basic parameters of the external cross-rib cylindrical member, the roller and the initial cylinder blank; Step S2.2: Determine the parameters required for the maximum allowable inner circle circumference C max (c); Step S2.3: Determine the pressure angle α f1 at the bottom of the longitudinal ribs of the external cross-rib cylindrical member and the standard arc length s f1 at the bottom of the longitudinal ribs of the finally formed external cross-rib cylindrical member; Step S2.4: The roller is modified on the basis of the standard involute spur gear structure, and the pressure angle α at the tooth tip of the standard involute spur gear is determineda2 and the standard arc length s of the addendum of the standard involute spur gear a2 ; Step S2.5: Calculate the arc length g at the top of the longitudinal ribs of the roller a2 and the arc length p of the distance between the tops of the adjacent longitudinal ribs of the roller a2 ; Step S2.6: Calculate the arc length s of the bottom of the longitudinal ribs initially formed on the cylindrical blank when the downward pressure c of the roller is 0 f1 (c = 0). Based on the simulation model, obtain the relationship function s f1 between the downward pressure c of the roller and the arc length s of the bottom of the longitudinal ribs f1 (c), as shown in Figure 5 ; Step S2.7: Calculate the arc length p f1 (c) of each wall panel of the outer cross-rib cylindrical member related to the downward pressure c of the roller and the maximum allowable elongation length Δp f1 (c) of each wall panel of the outer cross-rib cylindrical member p,max ; Step S2.8: Calculate the maximum allowable elongation E p,max (c) of the outer circumference of the wall panel during the forming process and the maximum allowable circumferential perimeter C max (c) of the outer circumference of the wall panel

[0135] In the said Step S2.1, the basic parameters of the outer cross-rib cylindrical member, the roller, and the initial cylindrical blank are as follows:

[0136] Basic parameters of the outer cross-rib cylindrical member: module m = 2, pressure angle at the reference circle α = 20°, reference circle radius r 1 = 60 mm, number of longitudinal ribs z 1 = 20; Basic parameters of the roller: reference circle radius R 2 = 60 mm, number of longitudinal rib grooves z 2 = 20; Basic parameters of the initial cylindrical blank: outer radius r b,out = 60 mm, inner radius r b,in = 57 mm

[0137] In the said Step S2.2, the parameters required in the maximum allowable inner circumference C max (c) of the outer cross-rib cylindrical member are as follows:

[0138] Radius at the top of the longitudinal ribs of the outer cross-rib cylindrical member

[0139] Radius at the bottom of the longitudinal ribs of the outer cross-rib cylindrical member

[0140] Base circle radius r of the outer cross-rib cylindrical member b1 = r 1 cosα = 56.381 mm

[0141] Top radius of the longitudinal rib groove of the roller

[0142] Bottom radius of the longitudinal rib groove of the roller

[0143] Base circle radius r of the roller b2 = r 2 cosα = 56.381 mm

[0144] Arc length s of the longitudinal rib and the longitudinal rib groove width on the pitch circle = πm / 2 = 3.142 mm

[0145] In the formula: is the addendum coefficient, c * is the clearance coefficient, c * = 0.5

[0146] In the step S2.3, the pressure angle α at the bottom of the longitudinal rib of the outer cross-rib cylindrical member f1 and the standard arc length s at the bottom of the longitudinal rib of the finally formed outer cross-rib cylindrical member f1 are given by the following formula:

[0147] α f1 = cos -1 r b1 / r f1 = 11.319°

[0148] s f1 = s·r f1 / r 1 - 2r f1 (invα f1 - invα) = 4.424 mm

[0149] In the formula, invα f1 = tanα f1 - a f1 = 0.0026, inva = tanα - α = 0.0149

[0150] In the step S2.4, the pressure angle α at the addendum of the standard involute spur gear a2 and the standard arc length s a2 are given by the following formula:

[0151] α a2 = cos -1 r b2 / r a2 = 24.580°

[0152] s a2 = s·r a2 / r2 -2r a2 (invα a2 -invα) = 1.571 mm

[0153] Wherein, invα a2 = tanα a2 - α a2 = 0.0284, invα = tanα - α = 0.0149.

[0154] In the said step S2.5, the arc length g at the top of the longitudinal ribs of the roller a2 and the arc length p between the tops of the adjacent longitudinal ribs of the roller a2 are given by the following formula:

[0155] g a2 = (2πr a2 - 2s a2 ·r 2 / m) / (2r 2 / m) = 4.921 mm

[0156] p a2 = (2πr a2 - z 2 g a2 ) / z 2 = 14.556 mm

[0157] In the said step S2.6, the arc length s at the bottom of the longitudinal ribs initially formed on the cylindrical blank f1 (c = 0) is given by the following formula:

[0158] s f1 (c = 0) = g a2 ·r 1 r 2 / (r 1 r a2 ) = g a2 ·r 2 / r a2 = 4.762 mm

[0159] Based on the finite element simulation model of the profile rolling of the externally crossed rib cylindrical member, the relationship function s f1 between the roller downward pressure c and the arc length s at the bottom of the longitudinal ribs f1 (c) = 4.762 - 0.169c can be obtained.

[0160] In the said step S2.7, the arc length p f1 (c) of each wall panel of the externally crossed rib cylindrical member related to the roller downward pressure c f1 and the maximum extensible length Δp

[0161] p f1 (c) = [2π(r 1 -c) - z 1 s f1 (c)] / z 1 = 14.087 - 0.145c

[0162] Δp f1 (c) = p a2 -p f1 (c) = 0.469 + 0.145c

[0163] In step S2.8, the maximum allowable elongation E p,max (c) of the outer circumference of the panel and the maximum allowable circumference C p,max (c) of the outer circumference of the panel are given by the following formula:

[0164] E p,max (c) = z 1 Δp f1 (c) = 9.391 + 2.902c

[0165] C p,max (c) = 2π(r 1 -c) + E p,max (c) = 386.382 - 3.381c

[0166] In step S2.9, the maximum allowable circumference C max (c) of the inner circle of the outer cross - rib cylindrical member is given by the following formula:

[0167] C max (c) = C p,max (c)·r b,in / (r b,out -c) = (386.382 - 3.381c)·57 / (60 - c)

[0168] Step S3 includes the following steps: Step S3.1: Establish a finite - element model for the profile - rolling spinning forming of the outer cross - rib cylindrical member; Step S3.2: After the finite - element model simulation is completed, select sampling points on the inner circumference of the cylindrical member in the post - processing interface, and the coordinate data of the sampling points at all working steps will be retained in the text; Step S3.3: Extract and calculate the sampling - point data to obtain the change in the inner - circle circumference C(c) of the cylindrical member during the entire profile - rolling spinning forming process.

[0169] In step S4, the maximum allowable circumference C max(c) Plot a point-line graph with the inner circle circumference C(c) of the cylindrical member during the entire profile rolling and spinning forming process obtained in step S3, to obtain the corresponding relationship between the inner circle circumference of the outer cross-rib cylindrical member and the roller downward pressure. It is found that the actual inner circle circumference C(c) exceeds the maximum allowable circumference C when the downward pressure c is about 0.4 mm. max (c), indicating that the longitudinal ribs are misaligned with the roller rib grooves. Therefore, for an initial cylindrical blank with an outer diameter of 120 mm and a wall thickness of 3 mm, it is impossible to stably form an outer cross-rib cylindrical member with an outer diameter of 124 mm, an inner diameter of 114 mm, a rib height of 4.5 mm, 20 longitudinal ribs, and 3 transverse ribs.

[0170] Preferred embodiment:

[0171] In this preferred embodiment, Figure 2 An outer cross-rib cylindrical member with an outer diameter of 124 mm, an inner diameter of 114 mm, a rib height of 4.5 mm, 20 longitudinal ribs, and 3 transverse ribs is used as the target formed part for profile rolling and spinning forming analysis. According to Figure 4 Generate the geometric shape of the preformed busbar, specifically including:

[0172] First step: Design the roller structure dimensions based on the profile rolling principle of the standard outer cross-rib cylindrical member. As Figure 3 shown, the outer diameter of the roller is 124 mm, the pitch circle diameter is 120 mm, the rib groove height is 4.5 mm, there are 20 longitudinal rib grooves, and 3 transverse rib grooves.

[0173] Second step: Solve for the maximum allowable inner circle circumference C max (c) of the outer cross-rib cylindrical member:

[0174] C max (c) = C p,max (c) · r b,in / (r b,out - c) = (386.382 - 3.381c) · 57 / (60 - c)

[0175] Third step: In this preferred example, 720 sampling points as Figure 6 shown are evenly selected on the central cross-section of the inner circle of the cylindrical member, and the inner circle circumference C(c) of the cylindrical member during the entire profile rolling and spinning forming process is calculated.

[0176] Fourth step: Plot a point-line graph with the obtained maximum allowable inner circle circumference C max (c) of the outer cross-rib cylindrical member and the obtained inner circle circumference C(c) of the cylindrical member during the entire profile rolling and spinning forming process, to obtain as Figure 7By examining the corresponding relationship between the inner circumference of the externally crossed rib cylindrical member shown and the downward pressure of the roller, it is found that the actual inner circumference C(c) exceeds the maximum allowable circumference C when the downward pressure c is about 0.4 mm. max (c), indicating that the longitudinal ribs and the rib grooves of the roller have Figure 8 the dislocation shown. Therefore, for the initial cylindrical blank with an outer diameter of 120 mm and a wall thickness of 3 mm, it will not be possible to stably form an externally crossed rib cylindrical member with a spun outer diameter of 124 mm, an inner diameter of 114 mm, a rib height of 4.5 mm, 20 longitudinal ribs, and 3 transverse ribs.

[0177] Those skilled in the art know that in addition to implementing the systems, devices, and their respective modules provided by the present invention in the form of pure computer-readable program code, the method steps can be logically programmed to enable the systems, devices, and their respective modules provided by the present invention to be implemented in the form of logic gates, switches, application-specific integrated circuits, programmable logic controllers, and embedded microcontrollers, etc., to achieve the same program. Therefore, the systems, devices, and their respective modules provided by the present invention can be considered as a kind of hardware component, and the modules included therein for implementing various programs can also be regarded as the structures within the hardware component; the modules for implementing various functions can also be regarded as either software programs for implementing the method or the structures within the hardware component.

[0178] The specific embodiments of the present invention have been described above. It should be understood that the present invention is not limited to the above specific embodiments, and those skilled in the art can make various changes or modifications within the scope of the claims, which do not affect the essence of the present invention. Without conflict, the embodiments of the present application and the features in the embodiments can be combined with each other arbitrarily.

Claims

1. A method for judging the stable forming of an external cross-rib cylindrical component by spinning, characterized in that: include Step S1: designing the final shape of the outer cross rib cylindrical component and the roller mold shape according to the requirements of the spinning process; Step S2: By using the geometrical relationship between the outer cross-rib cylindrical component and the roller, the maximum allowable circumference C of the inner circle of the outer cross-rib cylindrical component related to the roller pressure c is solved. max (c); Step S3: simulating the spinning forming of the outer cross-rib cylindrical component by finite element software, selecting sampling points on the inner circle of the cylindrical component, extracting and calculating the sampling point data, and obtaining the change of the inner circumference size C (c) of the cylindrical component during the entire spinning forming process; Step S4: Set the maximum allowable circumference C of the inner circle of the outer cross rib cylindrical component max (c) Compared with the actual circumference C(c) of the inner circle of the cylindrical component during the spinning process, when the actual circumference C(c) of the inner circle is less than the maximum allowable circumference C(c) during the entire forming process, max (c), the spinning can be stably formed; when the actual circumference of the inner circle C(c) exceeds the maximum allowable circumference C max (c) shows that the longitudinal ribs and the roller grooves are misaligned and the spinning process cannot form stably.

2. The method for judging the stable forming of an external cross rib cylindrical component by spinning and forming according to claim 1, characterized in that: The outer cross rib cylindrical component and the roller mold in step S1 need to meet the following requirements: The longitudinal reinforcement section of the standard external cross-rib cylindrical component is an involute tooth section, and the rib height of the longitudinal and transverse reinforcements should meet the tooth height calculation method of involute spur gears; The roller mold is designed based on the principle of unfolding movement with the external cross-rib cylindrical component. The pitch circle diameter of the roller cannot be less than 17 times the roller module.

3. The method for judging the stable forming of an external cross rib cylindrical component by spinning and forming according to claim 1, characterized in that: The step S2 comprises: Step S2.1: Obtain the basic parameters of the outer cross-ribbed cylindrical component, which include: module m, pitch circle pressure angle α, pitch circle radius r1 and number of longitudinal ribs z1; obtain the basic parameters of the roller, which include: pitch circle radius r2 and number of longitudinal rib grooves z2; obtain the basic parameters of the initial tube blank, which include: outer circle radius r b,out and the inner radius r b,in ; Step S2.2: Determine the maximum allowable inner circumference C of the outer cross-ribbed cylindrical member max The parameters required in (c) include: the top radius r of the longitudinal reinforcement of the outer cross-reinforced cylindrical member a1 , the bottom radius of the longitudinal reinforcement of the outer cross-ribbed cylindrical member r f1 , base radius r of outer cross rib cylindrical member b1 , roller longitudinal rib groove top radius r a2 , roller longitudinal reinforcement groove bottom radius r f2 , roller base radius r b2 , arc length s of the longitudinal reinforcement and the longitudinal reinforcement groove width on the pitch circle; Step S2.3: The base radius r of the outer cross rib cylindrical member b1 The bottom radius of the longitudinal reinforcement of the outer cross reinforcement cylindrical member r f1 Determine the pressure angle α at the bottom of the longitudinal reinforcement of the outer cross-reinforced cylindrical member f1 , and calculate the standard arc length s of the bottom of the longitudinal reinforcement of the final formed external cross-ribbed cylindrical component f1 ; Step S2.4: The roller is modified based on the standard involute spur gear structure, with the roller base circle radius r b2 and the radius r of the top of the longitudinal rib groove of the roller a2 Determine the pressure angle α at the tooth tip of a standard involute spur gear a2 , calculate the standard arc length s of the tooth top of a standard involute spur gear a2 ; Step S2.5: The standard arc length s of the standard involute spur gear tooth top a2 , calculate the arc length g of the top of the roller longitudinal reinforcement groove aa The arc length p of the distance between the top of the longitudinal rib groove adjacent to the roller a2 ; Step S2.6: At the initial stage of forming, the roller and the cylindrical blank rotate synchronously with the transmission ratio of r1:r2. When the roller pressure c=0, the arc length s of the bottom of the longitudinal rib initially formed by the cylindrical blank is calculated. f1 (c=0), and based on the finite element simulation model of the external cross rib cylindrical component spinning, the roller pressure c and the arc length s of the bottom of the longitudinal rib are obtained. f1 The relationship function s f1 (c); Step S2.7: From the arc length relationship function s at the bottom of the longitudinal reinforcement f1 (c) Calculate the arc length p of each wall section of the outer cross-ribbed cylindrical component related to the roller pressure c f1 (c) and the maximum elongation length Δp of each section of the outer cross-ribbed cylindrical member wall f1 (c); Step S2.8: The maximum elongation length Δp of each section of the outer cross-rib cylindrical member wall f1 (c) Calculate the maximum allowable elongation E of the outer circumference of the panel during the forming process p,max (c) and the maximum circumference C allowed for the outer circle of the wall plate p,max (c); Step S2.9: The maximum circumference C allowed by the outer circle of the wall panel p,max (c) The maximum allowable circumference C of the inner circle of the outer cross rib cylindrical component is obtained max (c).

4. The method for judging the stable forming of an external cross rib cylindrical component by spinning and forming according to claim 3, characterized in that: The step S2.2 comprises: r b1 =r1cosα r b2 =r2cosα s=πm / 2 Where r1 represents the pitch circle radius of the outer cross rib cylindrical member, represents the tooth top height coefficient, m represents the module, c represents the * represents the top gap coefficient, α represents the pitch circle pressure angle of the outer cross rib cylindrical component, and r2 represents the pitch circle radius of the roller.

5. The method for judging the stable forming of an external cross rib cylindrical component by developing and spinning according to claim 3, characterized in that: The step S2.3 comprises: a f1 =cos -1 r b1 / r f1 s f1 =s·r f1 / r1-2r f1 (invα f1 -invα) where invα f1 = tanα f1 - α f1 , invα = tanα - α; The step S2.4 comprises: a a2 =cos -1 r b2 / r a2 s a2 =s·r a2 / r2-2r a2 (invα a2 -invα) where invα a2 = tanα a2 - α a2 , invα = tanα - α.

6. The method for judging the stable forming of an external cross rib cylindrical component by developing and spinning according to claim 3, characterized in that: The step S2.5 comprises: g a2 =(2πr a2 -2s a2 ·r2 / m) / (2r2 / m) p a2 =(2πr a2 -z2g a2 ) / z2; The step S2.6 comprises: s f1 (c=0)=g a2 ·r1r2 / (r1r a2 )=g a2 ·r2 / r a2 Based on the finite element simulation model of the external cross-ribbed cylindrical component spinning, the roller pressure c and the arc length s of the bottom of the longitudinal rib can be obtained. f1 The relationship function s f1 (c).

7. The method for judging the stable forming of an external cross rib cylindrical component by developing and spinning according to claim 3, characterized in that: The step S2.7 comprises: p f1 (c)=[2π(r1-c)-z1s f1 (c)] / z1 Δp f1 (c)=p a2 -p f1 (c) The step S2.8 comprises: E p,max (c)=z1Δp f1 (C) C p,max (c)=2π(r1-c)+E p,max (c) The step S2.9 comprises: C max (c)=C p,max (c)·r b,in / (r b,out -c)。 8. The method for judging stable forming of external cross rib cylindrical components by spinning and forming according to claim 1, characterized in that: The step S3 comprises: Step S3.1: Establishing a finite element model of the external cross rib cylindrical component by spinning; Step S3.2: After the finite element model simulation is completed, sampling points are selected on the inner circumference of the cylindrical component in the post-processing interface, and the coordinate data of the sampling points in all working steps will be retained in the text; Step S3.3: extract and calculate the sampling point data to obtain the change of the inner circumference size C(c) of the cylindrical component during the entire spinning process.

9. The method for judging stable forming of external cross rib cylindrical components by spinning and forming according to claim 1, characterized in that: The step S4 comprises: setting the maximum allowable circumference C of the inner circle of the outer cross rib cylindrical component max (c) Compared with the actual circumference C(c) of the inner circle of the cylindrical component during the spinning process, when the actual circumference C(c) of the inner circle is less than the maximum allowable circumference C(c) during the entire forming process, max (c), the spinning can be stably formed; when the actual circumference of the inner circle C(c) exceeds the maximum allowable circumference C max (c) shows that the longitudinal ribs and the roller grooves are misaligned and the spinning process cannot form stably.

10. A system for judging the stable forming of an external cross-rib cylindrical component by spinning, characterized in that: include Module M1: Design the final shape of the outer cross rib cylindrical component and the roller mold shape according to the requirements of the spinning process; Module M2: Through the geometrical relationship between the outer cross-ribbed cylindrical component and the roller, the maximum allowable circumference C of the inner circle of the outer cross-ribbed cylindrical component related to the roller pressure c is solved. max (c); Module M3: The finite element software is used to simulate the spinning forming of the outer cross-ribbed cylindrical component, and sampling points are selected on the inner circle of the cylindrical component. The sampling point data are extracted and calculated to obtain the change of the inner circumference size C (c) of the cylindrical component during the entire spinning forming process; Module M4: Set the maximum allowable circumference C of the inner circle of the outer cross rib cylindrical component max (c) Compared with the actual circumference C(c) of the inner circle of the cylindrical component during the spinning process, when the actual circumference C(c) of the inner circle is less than the maximum allowable circumference C(c) during the entire forming process, max (c), the spinning can be stably formed; when the actual circumference of the inner circle C(c) exceeds the maximum allowable circumference C max (c) shows that the longitudinal ribs and the roller grooves are misaligned and the spinning process cannot form stably.

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