A slider size robust design optimization method for hangar door track

Abstract

The application discloses a slider size robust design optimization method for a hangar door track, comprising the following steps: constructing a parameterized size chain model among a slider height characteristic parameter, a slider width characteristic parameter and a slider thickness characteristic parameter based on a horizontal truss outer chord section parameter corresponding to a hangar door track beam; the parameterized size chain model comprises a first geometric constraint relationship between the slider height characteristic parameter and a vertical height of the horizontal truss outer chord section, and a second geometric constraint relationship between the slider width characteristic parameter and a track notch net width; generating a slider initial outer contour parameter set according to the parameterized size chain model; performing multi-objective size tolerance distribution on the slider initial outer contour parameter set to obtain a slider robust size parameter set; and iteratively adjusting a fixed bolt distribution position parameter and a weld bevel size parameter according to the slider robust size parameter set until a preset size chain closed loop tolerance constraint condition is met.

Description

Technical Field

[0001] This invention relates to the field of hangar door track design technology, specifically to a robust design optimization method for slider dimensions of hangar door tracks. Background Technology

[0002] In hangar door track systems, the slider, as a key load-bearing component connecting the door structure and the track beam, directly affects the smoothness of opening and closing, load-bearing reliability, and service life of the hangar door. In traditional design processes, the slider's dimensional parameters are typically determined based on empirical data or simplified mechanical analysis results. Designers independently calculate the slider's height, width, and thickness, and then verify whether the design dimensions meet assembly and usage requirements through prototype manufacturing and physical testing. This sequential design method, relying on decoupled independent calculations and subsequent physical verification, has significant drawbacks. On one hand, the slider's height is limited by the vertical height of the horizontal truss's outer chord section, the width occupied by the aluminum alloy strip fixing the polycarbonate sheet, and the installation clearance. The slider's width is limited by the clear width of the track opening, the angle steel wall thickness, and the thickness of the outer sliding material. These parameters form a highly coupled geometric constraint chain through the actual assembly structure. However, traditional design methods lack a modeling mechanism to express these multiple geometric constraints in a coordinated manner. This leads to frequent interference when a pre-set initial dimensional value is selected for related parts or structural adjustments, resulting in extensive design rework. On the other hand, the characteristic parameters of the slider thickness involve the design adjustment gap between the inner U-shaped block and the outer flange of the track steel, the thickness of the inner sliding material, the location of the sinking fixing hole, and the combination of shim thickness. These variables interact to affect the final assembly accuracy and load-bearing performance of the slider. Traditional single-objective tolerance allocation methods fail to comprehensively consider the mutual influence of various parameters of the slider's outer contour during the assembly adjustment process. They cannot effectively quantify and accommodate the fluctuations of many dimensional parameters under manufacturing deviations and assembly adjustments. As a result, the nominal design values ​​often meet the requirements under theoretical conditions, but problems such as deviations in bending load-bearing position and excessive weld assembly gaps frequently occur after actual assembly, forcing repeated on-site repairs. Summary of the Invention

[0003] To overcome the problems of repeated interference and rework caused by relying on independent calculations and physical verification in the current design of hangar door track slider dimensions, as well as the shortcomings of single-objective tolerance allocation in quantifying the impact of fluctuations in multiple dimensional parameters, this application provides a robust design optimization method that can construct a parameterized dimensional chain model and realize multi-objective dimensional tolerance allocation. By linking the characteristic parameters of slider height, width, and thickness with the outer chord, track notch, and assembly gap, the method performs multi-objective tolerance allocation on the initial outer contour parameters and then iteratively adjusts the bolt distribution and weld bevel parameters, so that the slider design results can meet the closed-loop tolerance constraint conditions of the dimensional chain under manufacturing deviations and assembly adjustments.

[0004] To achieve the above objectives, the present invention provides the following technical solution: The present invention provides a robust design optimization method for slider dimensions for hangar door tracks, comprising the following steps: Based on the cross-sectional parameters of the outer chord of the horizontal truss corresponding to the hangar door track beam, a parametric dimensional chain model is constructed between slider height characteristic parameters, slider width characteristic parameters, and slider thickness characteristic parameters; the parametric dimensional chain model includes a first geometric constraint relationship between the slider height characteristic parameter and the vertical height of the outer chord section of the horizontal truss, and a second geometric constraint relationship between the slider width characteristic parameter and the net width of the track opening; through the parametric dimensional chain constraints, the initial outer contour of the slider is automatically matched with the track and truss structure, reducing trial and error. Based on the parametric dimensional chain model, an initial outer contour parameter set for the slider is generated; multi-objective dimensional tolerance allocation is performed on the initial outer contour parameter set to obtain a robust slider dimension parameter set; based on the robust slider dimension parameter set, the distribution position parameters of the fixing bolts and the weld bevel size parameters are iteratively adjusted until the preset closed-loop tolerance constraint conditions of the dimensional chain are met.

[0005] In a preferred embodiment of the present invention, when constructing the first geometric constraint relationship, the vertical height value of the outer chord section of the horizontal truss, the width occupied by the aluminum alloy strip fixing the polycarbonate sheet on the lower side of the outer chord of the horizontal truss, and the installation gap value between the aluminum alloy strip and the lower side of the slider are obtained. The initial value of the slider height characteristic parameter is obtained by subtracting the occupied width value and the installation gap value from the vertical height value, and this initial value is used as the upper boundary constraint of the slider height characteristic parameter. Using this upper boundary constraint, it can be ensured that the slider height direction does not interfere with the upper component, while making full use of space.

[0006] In another preferred embodiment of the present invention, when constructing the second geometric constraint relationship, the net width value of the track opening is obtained, and the sum of the angle steel wall thickness setting value and the outer sliding material thickness value is taken as the minimum width value for the slider to enter the track opening; the minimum width value is subtracted from the net width value of the track opening to obtain the operating clearance margin, thereby determining the lower boundary constraint of the slider width characteristic parameter. This constraint ensures that the slider width maintains a reasonable sliding clearance while being able to be smoothly installed in the track opening.

[0007] As a specific embodiment of the present invention, the slider thickness characteristic parameter is determined by the following method: obtaining the design adjustment gap value between the outer side of the inner U-shaped block and the outer flange of the track steel; setting the initial thickness value of the inner sliding material according to the design adjustment gap value, and opening a submerged fixing hole at the half-thickness position of the inner sliding material to accommodate the submerged fixing bolt; obtaining the combined thickness value of the shim behind the inner sliding material; and calculating the slider thickness characteristic parameter from the initial thickness value of the inner sliding material and the combined thickness value of the shim. The combination of the half-thickness hole and the shim ensures that the slider thickness direction is adjustable, and the bolt head does not protrude, guaranteeing smooth sliding.

[0008] Preferably, the method for determining the design adjustment gap value is as follows: an elongated adjustment hole is opened on the angle steel connecting plate, the length value of the elongated adjustment hole and the diameter value of the mating bolt are obtained, the adjustable distance value on one side is calculated and the total adjustment stroke value is obtained, and the total adjustment stroke value is used as the design adjustment gap value, thereby incorporating the on-site adjustment capability into the thickness direction dimension chain.

[0009] Preferably, the step of allocating multi-target dimensional tolerances to the initial outer contour parameter set of the slider includes: obtaining the set values ​​for the thickness of the upper cover plate, the lower cover plate, the upper rack, the lower rack, and the replacement shim cover plate; using the slider height characteristic parameters as a reference, subtracting the thicknesses of the upper cover plate, the lower cover plate, and the lower rack, and then subtracting the larger value between the upper rack thickness and the replacement shim cover plate thickness, to obtain the calculated height value of the U-shaped part, and incorporating this calculated height value into the slider robust dimensional parameter set. Through the above tolerance allocation, the cumulative tolerance in the height direction is reasonably distributed to each part, making the U-shaped part height design robust and reliable.

[0010] As a technical solution of the present invention, the iterative adjustment of the fixed bolt distribution position parameters includes: obtaining the bending resistance verification position of the net cross-section of the angle steel, which is located at the center line connecting the bolt holes on the angle steel; translating the center line connecting the bolt holes towards the outer edge of the U-shaped block until the distance between it and the outer edge of the U-shaped block reaches a preset lever arm threshold; determining the distribution position and hole spacing of the lateral fixed bolts on the angle steel based on the translated center line, and feeding back the distribution position and hole spacing as fixed bolt distribution position parameters to the parametric dimensional chain model. This allows the bolts to be arranged in a better bending resistance position, improving connection stiffness while meeting the dimensional chain closed-loop requirements.

[0011] As another technical solution of the present invention, the adjustment of the weld groove size parameters includes: obtaining the weld setting position on the outer side of the root of the U-shaped block, setting the initial value of the groove opening depth and the initial value of the groove angle; calculating the weld metal filling height value based on the initial value of the groove opening depth and the set value of the weld leg size, and correcting the groove opening depth value based on the filling height value; combining the initial value of the groove angle and the corrected value of the groove opening depth into the weld groove size parameters, and substituting them into the parameterized dimension chain model as the boundary verification condition for the welding assembly gap. Through iterative adjustment, it is ensured that the weld groove can meet the strength requirements without affecting the assembly due to excessive filling.

[0012] As a preferred embodiment of the present invention, the construction of the dimensional chain closed-loop tolerance constraint condition includes: obtaining the installation adjustment gap setting value between the end of the angle steel and the outer chord of the horizontal truss, and the bolt diameter value and the elongated hole length value in the fixed bolt distribution position parameters; calculating the longitudinal adjustment margin of the angle steel relative to the U-block based on the installation adjustment gap setting value, the bolt diameter value, and the elongated hole length value; determining the rack length addition based on the longitudinal adjustment margin, superimposing this addition with the rack shear bearing length required to obtain the rack total length value, and using the rack total length value as the output verification item of the dimensional chain closed-loop tolerance constraint condition. Further, when calculating the longitudinal adjustment margin, the difference between the elongated hole length value and the bolt diameter value is taken and divided by two to obtain the single-sided adjustment stroke of the elongated hole; comparing the single-sided adjustment stroke of the elongated hole with the installation adjustment gap setting value, taking the smaller value as the effective adjustment stroke, and then multiplying it by two to obtain the longitudinal adjustment margin. By utilizing this tolerance constraint, it can be ensured that the rack meets the shear bearing requirements while accommodating dimensional deviations during the assembly process, thus achieving robust closed-loop control of the overall dimensional chain.

[0013] The technical effects and advantages provided by the present invention in the above technical solution are as follows: A parametric dimensional chain model was constructed, integrating the first geometric constraint relationship between the slider height characteristic parameter and the vertical height of the horizontal truss outer chord section, and the second geometric constraint relationship between the slider width characteristic parameter and the clear width of the track opening. Within this model framework, the initial value of the slider height characteristic parameter is obtained by subtracting the width occupied by the aluminum alloy strip fixing the polycarbonate sheet from the vertical height of the horizontal truss outer chord section, and then subtracting the installation gap value; this value is directly substituted into the model as the upper boundary constraint. The lower boundary constraint of the slider width characteristic parameter is determined by the operating clearance margin formed by subtracting the angle steel wall thickness setting value and the outer sliding material thickness value from the clear width of the track opening. This linked expression mechanism changes the conventional method of decoupling and independently calculating parameters, allowing multiple geometric constraints to take effect simultaneously in one model. Changes in the cross-section of any related part or assembly conditions can be automatically reflected in the constraint relationships, thus eliminating dimensional interference caused by information fragmentation during the design phase and reducing design rework caused by subsequent selection of related parts or structural adjustments. A multi-objective dimensional tolerance allocation is performed on the initial outer contour parameter set of the slider to generate a robust dimensional parameter set for the slider. This allocation process is carried out simultaneously for multiple characteristic parameters such as slider height, width, and thickness. Considering the interactive effects of multiple variables such as the design adjustment gap between the inner U-shaped block and the outer flange of the track steel, the thickness of the inner sliding material, the position of the submerged fixing hole, and the combination of shim thickness, the fluctuation range of each dimensional parameter under manufacturing deviations and assembly adjustments is quantified and accommodated. The resulting nominal design values ​​and their fluctuation ranges can absorb the cumulative deviations introduced by machining tolerances and on-site adjustments during actual assembly, avoiding the drawbacks of traditional single-objective tolerance allocation where the nominal value of a certain dimension parameter meets the standard, but the adjustment stroke of its related assembly elements is exhausted or interferes. This reduces the frequent occurrence of problems such as bending load-bearing position deviations and weld assembly gap deviations. Attached Figure Description

[0014] To more clearly illustrate the technical solutions in the embodiments of this application or the prior art, the drawings used in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments recorded in this invention. For those skilled in the art, other drawings can be obtained based on these drawings.

[0015] Figure 1 This is a flowchart illustrating a robust design optimization method for slider dimensions used in hangar door tracks. Figure 2 This is a flowchart for calculating the adjustment amount of the oblong adjustment hole and setting the slider thickness; Figure 3 This is a comparison chart of the probability density of the slider height and width feature parameters; Figure 4 It is a curve showing the relationship between the initial thickness of the inner sliding material and the total adjustment stroke; Figure 5 This is a schematic diagram showing the relationship between the weld metal filling height and the thickness of the vertical wall plate of the U-shaped block; Figure 6 This is a comparison chart of the length of the space available for rack installation inside the slider and the total length of the rack. Detailed Implementation

[0016] To make the objectives, technical solutions, and advantages of the embodiments of the present invention clearer, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0017] See Figure 1 This invention provides a robust design optimization method for slider dimensions in hangar door tracks, comprising: constructing a parameterized dimensional chain model based on the cross-sectional parameters of the outer chord of the horizontal truss corresponding to the hangar door track beam, and establishing a parameterized dimensional chain model between slider height characteristic parameters, slider width characteristic parameters, and slider thickness characteristic parameters; the parameterized dimensional chain model includes a first geometric constraint relationship between the slider height characteristic parameter and the vertical height of the outer chord section of the horizontal truss, and a second geometric constraint relationship between the slider width characteristic parameter and the net width of the track opening; generating an initial outer contour parameter set for the slider according to the parameterized dimensional chain model; performing multi-objective dimensional tolerance allocation on the initial outer contour parameter set to obtain a robust slider dimensional parameter set; and iteratively adjusting the distribution position parameters of the fixing bolts and the weld bevel size parameters according to the robust slider dimensional parameter set until the preset dimensional chain closed-loop tolerance constraint condition is met.

[0018] Example 1: In specific implementation, the vertical height value of the horizontal truss outer chord section is obtained by reading the section height dimension of the horizontal truss outer chord from the hangar door track beam design drawings; the width occupied by the aluminum alloy strip fixing the polycarbonate panel on the lower side of the horizontal truss outer chord is obtained by measuring the width dimension occupied by the aluminum alloy strip in the vertical projection area; the installation gap value between the aluminum alloy strip and the lower side of the slider is obtained by determining the installation gap value according to the minimum reserved gap specified in the slider assembly process specification. Subtracting the width occupied by the aluminum alloy strip from the vertical height value of the horizontal truss outer chord section, and then subtracting the installation gap value between the aluminum alloy strip and the lower side of the slider, yields the initial value of the slider height characteristic parameter. This can be expressed by the formula:

[0019] in, This represents the initial value of the slider height feature parameter. This indicates the vertical height of the outer chord section of the horizontal truss. This indicates the width occupied by the aluminum alloy strip used to fix the polycarbonate sheet on the lower side of the outer chord of the horizontal truss. This indicates the installation gap between the aluminum alloy profile and the lower side of the slider. The vertical height of the outer chord section of the horizontal truss is directly measured from the detailed construction drawings of the hangar door structure. The width occupied by the aluminum alloy profile is obtained by taking the average value after multiple measurements of the solid section of the aluminum alloy profile with vernier calipers. The installation gap value is taken as 5 mm. This value is based on the sum of the vertical thermal expansion and contraction compensation that needs to be reserved during slider assembly and the minimum clearance required for installation operation.

[0020] The initial value of the slider height feature parameter is substituted into the parameterized dimension chain model as the upper boundary constraint of the slider height feature parameter in the parameterized dimension chain model.

[0021] In some implementations, the net width of the track opening is obtained by measuring the horizontal net width of the opening in the fixed track for the slider to enter and exit. The angle steel wall thickness setting is obtained by looking up the nominal wall thickness parameter of the selected equilateral angle steel from the slider assembly list. The outer sliding material thickness is obtained by measuring the thickness of the sliding liner that fits against the outer wall of the angle steel. The minimum width for the slider to enter the track opening is obtained by summing the angle steel wall thickness setting and the outer sliding material thickness. Optionally, an additional 1 mm of coating thickness compensation can be added to the minimum width value to account for the actual thickness of the anti-corrosion coating on the angle steel surface.

[0022] Subtracting the minimum width value from the net width of the track notch yields the operating clearance margin of the slider width characteristic parameter. Based on the operating clearance margin, the lower boundary constraint of the slider width characteristic parameter in the parametric dimensional chain model is determined. Specifically, half of the operating clearance margin is taken as the minimum allowable movement clearance on one side, and the lower boundary constraint of the slider width characteristic parameter is taken as the sum of the minimum width value and the minimum allowable movement clearance on one side.

[0023] In practice, the net width of the track gap can be determined by taking the minimum value after measuring the gap at three positions: both ends and the midpoint of the track gap with a laser rangefinder; the angle steel wall thickness is set from the corresponding specification thickness in the hot-rolled equal angle steel standard GB / T706; the thickness of the outer sliding material is the thickness of the polytetrafluoroethylene plate, which is calibrated by the factory inspection report provided by the material supplier.

[0024] See Figure 3In the figure, the horizontal axis represents the numerical range of the slider characteristic parameters in millimeters, and the vertical axis represents the probability density of the corresponding values. The curves in the figure contain two parts of data: the initial value of the slider height characteristic parameter (solid blue curve) and the lower boundary of the slider width characteristic parameter (dashed orange curve), which correspond to the calculation of the initial value of the slider height characteristic parameter and the determination of the lower boundary of the slider width characteristic parameter in Example 1, respectively.

[0025] The blue solid curve, located approximately 1900 mm on the horizontal axis, exhibits a sharp probability density peak. This indicates that the initial values ​​of the slider height characteristic parameter, based on the determined vertical height of the hangar door track beam section, the width occupied by the aluminum alloy strip, and the installation gap, have a relatively definite range of values, concentrated in a higher value interval. This aligns with the formula used in Example 1. The initial value of the slider height characteristic parameter is calculated. This initial height value serves as the upper boundary constraint for the slider height characteristic parameter in the parametric dimension chain model, reflecting the initial dimensional determination of the slider height design.

[0026] The orange dashed curve is distributed around the approximately 40 mm area on the horizontal axis, exhibiting a relatively narrow peak range, representing the lower boundary of the slider width characteristic parameter. This boundary is determined by subtracting the sum of the angle steel wall thickness setting and the outer sliding material thickness from the net width of the track opening, taking into account the operating clearance margin. This conforms to the geometric constraint relationship between the net width of the track opening and the slider width characteristic parameter in Example 1. This lower boundary serves as the minimum allowable dimension of the slider width, ensuring the normal operating space of the slider within the track opening.

[0027] Example 2: In specific implementation, refer to Figure 2 The method for creating elongated adjustment holes in angle steel connecting plates is to use CNC plasma cutting or milling to create elongated holes within a preset area of ​​the angle steel connecting plate. The length of the elongated adjustment hole is obtained by measuring the distance between the two arc vertices along the major axis of the hole using vernier calipers. The diameter of the mating bolt is obtained by looking up the nominal diameter of the bolt used with the elongated adjustment hole in the fastener list.

[0028] Calculate the adjustable distance on one side of the oblong adjusting hole based on its length and the diameter of the mating bolt. The adjustable distance on one side of the oblong adjusting hole is expressed by the formula:

[0029] in, This indicates the adjustable distance value on one side of the oblong adjustment hole. This indicates the length value of the oblong adjusting hole. This indicates the diameter of the mating bolt. The length of the oblong adjusting hole is determined based on the maximum compensation stroke required by the slider in the longitudinal direction, and the diameter of the mating bolt is taken from the major diameter of the mating bolt thread.

[0030] Multiply the adjustable distance value on one side of the elongated adjustment hole by two to obtain the total adjustment stroke value. Use the total adjustment stroke value as the design adjustment gap value between the outer side of the inner U-shaped block and the outer flange of the track steel.

[0031] In practical implementation, the design adjustment gap value between the outer side of the inner U-shaped block and the outer flange of the track steel is set based on the following: when the bolt of the oblong adjustment hole on the angle steel connecting plate is in the center position of the oblong adjustment hole, the inner U-shaped block can move inward or outward along the direction perpendicular to the track by a distance equal to the single-sided adjustable distance value of the oblong adjustment hole. Therefore, the inner U-shaped block can remain non-contacting with the outer flange of the track steel throughout the entire adjustment stroke. The total adjustment stroke value is the minimum gap that needs to be reserved between the outer side of the inner U-shaped block and the outer flange of the track steel.

[0032] The design adjustment gap value between the outer side of the inner U-shaped block and the outer flange of the track steel is obtained by reading the total adjustment stroke value obtained in the above setting steps. Based on the design adjustment gap value, the initial thickness value of the inner sliding material is set as follows: the initial thickness value of the inner sliding material is equal to half of the design adjustment gap value, to ensure that the inner sliding material can still be compensated and adjusted within the design adjustment gap range after wear.

[0033] The method for creating a submerged fixing hole at half the thickness of the inner sliding material is as follows: measure the total thickness of the inner sliding material, take half of the total thickness as the axial reference plane of the submerged fixing hole, and use a countersunk drill bit to machine a countersunk hole on this reference plane. The large hole depth of the countersunk hole meets the requirement that the head of the submerged fixing bolt is completely submerged below the surface of the inner sliding material.

[0034] The method for obtaining the combined thickness value of the gaskets behind the inner sliding material is as follows: measure the total thickness of the multi-layer metal gaskets sandwiched between the inner sliding material and the inner wall of the U-shaped block. The total thickness of the multi-layer metal gaskets is obtained by summing the thicknesses of each layer of gaskets.

[0035] The method for calculating the slider thickness characteristic parameter based on the initial thickness value of the inner sliding material and the combined thickness value of the shim is as follows: add the initial thickness value of the inner sliding material and the combined thickness value of the shim, and the sum is the slider thickness characteristic parameter.

[0036] See Figure 4 In the figure, the horizontal axis represents the total adjustment stroke value in millimeters, ranging from approximately 5 mm to 30 mm; the vertical axis represents the initial thickness of the inner sliding material in millimeters, ranging from approximately 2.5 mm to 15 mm. The blue solid dots in the figure represent discrete data points showing the change in the initial thickness of the inner sliding material with the total adjustment stroke, while the red dashed line is the fitted curve showing the relationship between the initial thickness of the inner sliding material and half of the total adjustment stroke value.

[0037] The curve shows a clear linear growth trend. The initial value of the inner sliding material thickness increases proportionally with the increase of the total adjustment stroke. The values ​​are basically distributed near the red dotted line, indicating that the initial value of the inner sliding material thickness is highly consistent with half of the total adjustment stroke value, with minimal error. This reflects the rationality and accuracy of setting the initial value of the inner sliding material thickness as half of the total adjustment stroke value in the design method.

[0038] Example 3: In specific implementation, the bending resistance verification location of the net section of the angle steel is obtained. The bending resistance verification location is located at the center line connecting the bolt holes on the angle steel. The method for obtaining the bending resistance verification location is as follows: On the planar development drawing of the angle steel, mark the center points of all bolt holes used for connecting the U-shaped blocks. Connect the center points of all bolt holes on the same leg surface of the angle steel with a straight line. The straight line formed is the bolt hole center line, and the location of the bolt hole center line is the bending resistance verification location of the net section of the angle steel. The bending resistance verification location of the net section of the angle steel is the section where the section weakens most severely when the angle steel is subjected to bending moment. The section modulus at this location is used to verify the bending bearing capacity of the angle steel.

[0039] The line connecting the centers of the bolt holes is shifted towards the outer edge of the U-shaped block until the distance between the line connecting the centers of the bolt holes and the outer edge of the U-shaped block reaches the preset lever arm threshold. The direction of shifting the line connecting the centers of the bolt holes is along the angle steel leg surface from the line connecting the centers of the bolt holes towards the outer edge of the U-shaped block. The preset lever arm threshold is set as follows: the distance from the outer edge of the U-shaped block to the root of the angle steel is taken as the maximum usable lever arm, and one-tenth of the maximum usable lever arm is taken as the preset lever arm threshold. In some embodiments, the preset lever arm threshold is set to 5 mm, which is based on the sum of the minimum edge distance requirement from the outer edge of the nut of the lateral fixing bolt to the edge of the angle steel leg surface and the reserved operating space of the bolt wrench.

[0040] The distribution of the lateral fixing bolts on the angle steel is determined based on the line connecting the centers of the translated bolt holes as follows: The line connecting the centers of the translated bolt holes serves as the axial positioning reference line for the lateral fixing bolts. The center point of each lateral fixing bolt is determined on this positioning reference line according to the principle of equal spacing. The distance from the center point of each lateral fixing bolt to the end of the angle steel is not less than twice the bolt hole diameter, and the distance from the root of the angle steel bend is not less than twice the set value of the angle steel wall thickness.

[0041] Based on their distribution locations, the hole spacing between each lateral fixing bolt is determined. The hole spacing is determined as follows: subtract the allowance for the two end edges from the total length of the line connecting the centers of the translated bolt holes, then divide by the number of lateral fixing bolts minus one. The quotient is the hole spacing between each lateral fixing bolt. The hole spacing is calculated using the following formula:

[0042] in, This indicates the hole spacing between each lateral fixing bolt. This represents the total length of the line connecting the centers of the bolt holes after translation. This indicates the allowance for the distance between the two ends. This indicates the number of lateral fixing bolts. The total length of the line connecting the centers of the bolt holes after translation is the straight-line distance from the center point of the first lateral fixing bolt to the center point of the last lateral fixing bolt. The allowance for the edge distances at both ends is three times the set value of the angle steel wall thickness. The number of lateral fixing bolts is determined based on the length of the slider along the track direction. One lateral fixing bolt is arranged every 300 mm along the length of the slider along the track direction. The number of lateral fixing bolts is rounded up.

[0043] The method of feeding the hole spacing and distribution position as fixed bolt distribution position parameters back to the parametric dimensional chain model is as follows: write the hole spacing of each lateral fixed bolt and the three-dimensional coordinate value of the center point of each lateral fixed bolt into the bolt positioning parameter table of the parametric dimensional chain model. The parametric dimensional chain model calls the bolt positioning parameter table during iterative solution to verify the spatial positional relationship between the bolt hole and the edge of the U-shaped block.

[0044] Example 4: In specific implementation, the method for obtaining the weld location on the outer side of the U-shaped block root is as follows: In the three-dimensional solid model of the U-shaped block, trace upwards along the height direction of the U-shaped block from the lower surface of the bottom plate to the root where the vertical wall plate intersects with the bottom plate. Mark the arc start and end boundary lines of the weld on the outer side of the root. The weld location is the strip-shaped area defined by the two boundary lines on the outer side of the U-shaped block root. The outer side of the U-shaped block root is the area with the greatest tensile or compressive stress when the U-shaped block is subjected to bending moment, and the weld location covers the entire length of the U-shaped block root.

[0045] Based on the weld location, set the initial values ​​for the groove opening depth and groove angle. The initial groove opening depth is set as follows: measure the thickness of the vertical wall plate of the U-shaped block at the root, and take half of the wall plate thickness as the initial groove opening depth. The initial groove angle is set as follows: based on the V-groove angle range recommended in the welding procedure specification, select an initial groove angle of 60 degrees. The basis for selecting 60 degrees is that it is a commonly used angle value for V-grooves that ensures electrode accessibility while minimizing weld metal fill.

[0046] The weld metal filler height is calculated based on the initial value of the bevel opening depth and the set value of the weld leg size. The set value of the weld leg size is obtained by looking up the matching weld leg size corresponding to the wall thickness of the vertical wall panel of the U-shaped block from the fillet weld size design table. The weld metal filler height is calculated using the following formula:

[0047] in, This indicates the weld metal fill height value. This indicates the initial value of the bevel opening depth. This indicates the solder leg size setting value. This indicates the initial value of the bevel angle. The initial value of the bevel opening depth is taken as half the thickness of the vertical wall plate of the U-shaped block, the weld leg size setting value is taken as the same as the thickness of the vertical wall plate of the U-shaped block, and the initial value of the bevel angle is 60 degrees.

[0048] The method for adjusting the initial value of the groove opening depth based on the weld metal filling height is as follows: compare the weld metal filling height with the wall thickness of the U-shaped block vertical wall. If the weld metal filling height is greater than the wall thickness of the U-shaped block vertical wall, reduce the initial value of the groove opening depth by the absolute value of the difference between the weld metal filling height and the wall thickness, and use the reduced value as the groove opening depth correction value. If the weld metal filling height is less than or equal to the wall thickness of the U-shaped block vertical wall, keep the initial value of the groove opening depth unchanged, and use the initial value of the groove opening depth directly as the groove opening depth correction value.

[0049] The method of combining the initial value of the bevel angle and the correction value of the bevel opening depth into the weld bevel size parameter is as follows: take the degree value of the initial value of the bevel angle and the millimeter value of the correction value of the bevel opening depth as a binary data group. The first element in the data group corresponds to the bevel angle and the second element corresponds to the bevel depth. The binary data group is the weld bevel size parameter.

[0050] The method of substituting the weld groove dimension parameters into the parametric dimensional chain model as the boundary verification condition for the welding assembly gap is as follows: a welding assembly gap verification node is added to the parametric dimensional chain model. The groove opening depth correction value in the weld groove dimension parameters is assigned to the groove depth variable in the welding assembly gap verification node. The welding assembly gap verification node performs a difference calculation between the groove depth variable and the corresponding U-block root mating thickness in the slider thickness feature parameter. The calculation result is compared with the preset minimum assembly gap value. If the difference is less than the minimum assembly gap value, the parametric dimensional chain model outputs a warning of insufficient groove depth.

[0051] See Figure 5 In the figure, the horizontal axis represents the wall thickness of the U-shaped block's vertical wall panel (in millimeters), and the vertical axis represents the corresponding weld metal filling height (in millimeters). The blue data points, marked as scatter points, represent multiple sets of weld metal filling height values ​​and corresponding wall panel thicknesses, as measured or calculated. The red dashed line is a reference line for the wall thickness of the U-shaped block's vertical wall panel. As described in Example 4, the weld metal filling height is calculated from the initial value of the groove opening depth and the set value of the weld leg size, reflecting the theoretical height of the weld metal filling.

[0052] As can be seen from the trend in the figure, the weld metal filling height increases approximately linearly with the thickness of the U-shaped block wall plate, and all blue data points are above the red wall plate thickness reference line, indicating that the weld metal filling height is generally greater than the corresponding wall plate thickness. This phenomenon is consistent with the groove opening depth correction rule described in Example 4, that is, when the weld metal filling height is greater than the wall plate thickness, the initial value of the groove opening depth needs to be adjusted to a groove opening depth correction value that is less than the initial value, in order to avoid insufficient weld assembly clearance.

[0053] The data distribution range shown in the figure extends from approximately 8 mm to 25 mm for the wall panel thickness, while the weld metal filling height increases from approximately 9 mm to nearly 28 mm. This reflects the adaptability of this embodiment to the weld groove size parameter design for U-shaped block wall panels of different thicknesses. By comparing this scatter plot with the reference line, the parametric dimensional chain model can effectively assist in the boundary verification of the welding assembly gap, ensuring the rationality of the weld groove size parameters and avoiding assembly problems caused by insufficient groove opening depth.

[0054] Example 5: In specific implementation, the thickness settings for the upper and lower cover plates are obtained as follows: the thickness dimension of the upper cover plate is read from the slider assembly engineering drawing as the upper cover plate thickness setting value, and the thickness dimension of the lower cover plate is read from the slider assembly engineering drawing as the lower cover plate thickness setting value. The thickness settings for the upper and lower racks are obtained as follows: the thickness dimension from the tooth tip to the bottom surface of the upper rack is read from the rack part drawing as the upper rack thickness setting value, and the thickness dimension from the tooth tip to the bottom surface of the lower rack is read from the rack part drawing as the lower rack thickness setting value. The thickness setting value for the shim replacement cover plate is obtained as follows: the thickness dimension of the shim replacement cover plate is read from the shim replacement cover plate part drawing as the shim replacement cover plate thickness setting value.

[0055] Compare the upper rack thickness setting value with the shim cover plate thickness setting value, and take the larger of the two. Subtract the upper cover plate thickness setting value, the lower cover plate thickness setting value, the lower rack thickness setting value, and then the larger of the upper rack thickness setting value and the shim cover plate thickness setting value from the slider height characteristic parameter to obtain the calculated U-shaped part height. The calculated U-shaped part height is expressed by the formula:

[0056] in, This indicates the calculated height of the U-shaped part. This represents the slider height characteristic parameter. This indicates the set value for the thickness of the top cover plate. This indicates the set value for the thickness of the lower cover plate. This indicates the set value for the lower rack thickness. This indicates the set value for the upper rack thickness. This indicates the thickness setting value for replacing the gasket cover. This indicates that the larger of the upper rack thickness setting value and the shim cover plate thickness setting value is taken. The slider height characteristic parameter is the determined value of the slider height characteristic parameter after tolerance allocation in the parametric dimension chain model. The upper cover plate thickness setting value and the lower cover plate thickness setting value are taken from the nominal thickness value in the steel plate raw material procurement specifications. The lower rack thickness setting value and the upper rack thickness setting value are taken as the sum of the product of the rack module and the tooth tip height coefficient and the tooth root thickness. The shim cover plate thickness setting value is taken as 3 mm. The basis for taking 3 mm is that the shim cover plate is made of cold-rolled steel plate with a thickness of 3 mm by stamping.

[0057] The method for incorporating the calculated height of the U-shaped component into the robust dimension parameter set of the slider is as follows: the calculated height of the U-shaped component is written as an independent parameter item into the data list of the robust dimension parameter set of the slider, and at the same time, a note is attached after the calculated height of the U-shaped component indicating that the value is the net height obtained by subtracting the thickness of each layer of plate from the slider height characteristic parameter.

[0058] In practical implementation, the method for obtaining the installation adjustment gap setting value between the angle steel end and the outer chord of the horizontal truss is as follows: The standard value of the reserved gap between the angle steel end and the outer chord of the horizontal truss is read from the hangar door installation process document as the installation adjustment gap setting value. The method for obtaining the bolt diameter value and the oblong hole length value in the fixed bolt distribution position parameters is as follows: The determined fixed bolt distribution position parameters are retrieved from the parametric dimension chain model, and the bolt diameter value of the lateral fixed bolt and the length value of the oblong hole on the angle steel connecting plate recorded in the fixed bolt distribution position parameters are extracted.

[0059] Obtain the difference between the length of the oblong hole and the bolt diameter to get the first difference. Divide the first difference by two to obtain the single-sided adjustment stroke of the oblong hole. The single-sided adjustment stroke of the oblong hole represents the maximum distance that the angle steel connecting plate can slide along the long axis of the oblong hole on one side. Obtain the value of the installation adjustment clearance setting. Compare the single-sided adjustment stroke of the oblong hole and the installation adjustment clearance setting value, and take the smaller value of the two as the effective adjustment stroke. The basis for taking the smaller value is that the longitudinal adjustment margin of the angle steel relative to the U-block is limited by the more stringent boundary condition between the mechanical limit of the oblong hole itself and the physical clearance reserved during installation. Therefore, the effective adjustment stroke is determined by the smaller value of the two.

[0060] Multiply the effective adjustment stroke by two to obtain the longitudinal adjustment margin of the angle steel relative to the U-block. The longitudinal adjustment margin represents the total range of adjustment that the angle steel can make relative to the U-block along the track direction.

[0061] The method for determining the additional rack length based on the longitudinal adjustment allowance is as follows: the value of the longitudinal adjustment allowance is directly used as the additional rack length. The additional rack length is an extra length segment added beyond the length required for shear bearing capacity of the rack, used to compensate for the installation position deviation of the angle steel in the longitudinal direction.

[0062] The additional length of the rack is added to the length required for the rack to withstand shear load, resulting in the total length of the rack. The required length for the rack to withstand shear load is calculated based on the maximum horizontal shear force borne by the slider and the allowable shear stress of the rack material. The calculation method is to divide the maximum horizontal shear force by the allowable shear force per unit length of the rack.

[0063] The method of using the total rack length value as the output verification item of the dimensional chain closed-loop tolerance constraint is as follows: Set a rack total length verification node in the dimensional chain closed-loop tolerance constraint, compare the rack total length value with the length of the installation space inside the slider that can accommodate the rack, if the rack total length value is less than or equal to the installation space length, the dimensional chain closed-loop tolerance constraint is determined to be satisfied, if the rack total length value is greater than the installation space length, the dimensional chain closed-loop tolerance constraint is determined to be unsatisfied and a prompt indicating that the rack length exceeds the limit is fed back to the parameterized dimensional chain model.

[0064] See Figure 6 In the figure, the horizontal axis represents the total length of the rack inside the slider that can be installed (in millimeters), and the vertical axis represents the corresponding installation space length (in millimeters). The blue scatter points represent the actual comparison data of the calculated total rack length and installation space length under different design parameters. The red dashed line is the tolerance boundary of the dimensional chain, which is mathematically expressed as the installation space length equal to the total rack length, representing the critical state where the rack installation space just meets the total rack length requirement.

[0065] The scatter plot distribution shows that the vast majority of data points are concentrated above the red dashed line, indicating that the corresponding installation space length is greater than the total rack length, satisfying the dimensional chain closed-loop tolerance condition and providing sufficient installation space for the rack. The scatter plots show a positive correlation with the total rack length, indicating that the installation space length and total rack length change synchronously with design parameter adjustments, ensuring the rack length's tolerance adaptability during installation. A small number of scatter plots are located near the red line, indicating that the installation space length and total rack length are close to critical values, suggesting that the compactness of these parameter combinations should be considered during design to prevent the dimensional chain closed-loop tolerance boundary from being breached.

[0066] The above description is merely a specific embodiment of this application, but the scope of protection of this application is not limited thereto. Any changes or substitutions that can be easily conceived by those skilled in the art within the scope of the technology disclosed in this application should be included within the scope of protection of this application.

Claims

1. A robust design optimization method for slider dimensions in hangar door tracks, characterized in that, The method includes: Based on the cross-sectional parameters of the outer chord of the horizontal truss corresponding to the hangar door track beam, a parameterized dimension chain model is constructed between the characteristic parameters of slider height, slider width, and slider thickness. The parametric dimension chain model includes a first geometric constraint relationship between the slider height characteristic parameter and the vertical height of the horizontal truss outer chord section; The parameterized dimension chain model includes a second geometric constraint relationship between the slider width feature parameter and the net width of the track notch; Based on the parametric dimension chain model, generate the initial outer contour parameter set of the slider; Multi-objective size tolerance allocation is performed on the initial outer contour parameter set of the slider to obtain a robust size parameter set of the slider; Based on the set of robust slider size parameters, iteratively adjust the distribution position parameters of the fixing bolts and the weld groove size parameters until the preset size chain closed-loop tolerance constraint condition is met. The steps for determining the slider thickness characteristic parameter are as follows: Obtain the design adjustment gap value between the outer side of the inner U-shaped block and the outer flange of the track steel; Adjust the gap value according to the design and set the initial thickness of the inner sliding material; A recessed fixing hole is made at half the thickness of the inner sliding material to accommodate a recessed fixing bolt; Obtain the combined value of the pad thickness on the back side of the inner sliding material; The characteristic parameters of the slider thickness are calculated based on the initial thickness value of the inner sliding material and the combined thickness value of the gasket.

2. The robust design optimization method for slider dimensions of hangar door tracks as described in claim 1, characterized in that, The steps for constructing the first geometric constraint relationship are as follows: Obtain the vertical height value of the outer chord section of the horizontal truss; Obtain the width occupied by the aluminum alloy strip for fixing the polycarbonate sheet on the lower side of the outer chord of the horizontal truss; Obtain the installation gap value between the aluminum alloy profile and the lower side of the slider; Subtract the occupied width value from the vertical height value of the outer chord section of the horizontal truss, and then subtract the installation gap value to obtain the initial value of the slider height characteristic parameter; The initial value of the slider height feature parameter is substituted into the parameterized dimension chain model as the upper boundary constraint of the slider height feature parameter.

3. The robust design optimization method for slider dimensions of hangar door tracks as described in claim 1, characterized in that, The steps for constructing the second geometric constraint relationship are as follows: Obtain the net width of the track opening; Obtain the set value of angle steel wall thickness; Obtain the thickness value of the outer sliding material; The minimum width value for the slider to enter the track opening is obtained by summing the set value of the angle steel wall thickness and the value of the outer sliding material thickness. Subtracting the minimum width value from the net width value of the track notch yields the operating clearance margin of the slider width characteristic parameter; Based on the operating clearance margin, the lower boundary constraint of the slider width feature parameter in the parameterized dimension chain model is determined.

4. The robust design optimization method for slider dimensions of hangar door tracks as described in claim 1, characterized in that, The steps for setting the design adjustment gap value between the outer side of the inner U-shaped block and the outer flange of the rail steel are as follows: An elongated adjustment hole is made in the angle steel connecting plate to obtain the length value of the elongated adjustment hole and the diameter value of the mating bolt. Based on the length value and the diameter value of the mating bolt, calculate the adjustable distance value on one side of the elongated adjusting hole; Multiply the single-sided adjustable distance value by two to obtain the total adjustment stroke value; The total adjustment stroke value is used as the design adjustment gap value.

5. The robust design optimization method for slider dimensions of hangar door tracks as described in claim 1, characterized in that, The iterative adjustment steps for the distribution position parameters of the fixing bolts are as follows: Obtain the bending resistance verification position of the net cross section of the angle steel, wherein the bending resistance verification position is located at the line connecting the centers of the bolt holes on the angle steel; The line connecting the centers of the bolt holes is shifted towards the outer edge of the U-shaped block until the distance between the line connecting the centers of the bolt holes and the outer edge of the U-shaped block reaches a preset lever arm threshold. The distribution positions of the lateral fixing bolts on the angle steel are determined based on the line connecting the centers of the bolt holes after translation. Based on the distribution location, the hole spacing between each lateral fixing bolt is set; The hole spacing and the distribution position are used as the distribution position parameters of the fixing bolts and fed back to the parameterized dimensional chain model.

6. The robust design optimization method for slider dimensions for hangar door tracks as described in claim 1, characterized in that, The steps for adjusting the weld groove size parameters are as follows: Obtain the location of the weld seam on the outer side of the root of the U-shaped block; Based on the weld location, set the initial values ​​for the groove opening depth and the groove angle; Calculate the weld metal filling height based on the initial value of the bevel opening depth and the set value of the weld leg size; Based on the weld metal filling height value, adjust the initial value of the groove opening depth to obtain the groove opening depth correction value; The initial value of the bevel angle and the correction value of the bevel opening depth are combined to form the weld bevel size parameters; The weld groove size parameters are substituted into the parameterized dimension chain model as boundary verification conditions for the weld assembly gap.

7. The robust design optimization method for slider dimensions of hangar door tracks as described in claim 1, characterized in that, The steps for generating the robust size parameter set of the slider are as follows: Obtain the upper cover plate thickness setting value and the lower cover plate thickness setting value; Obtain the upper rack thickness setting value and the lower rack thickness setting value; Obtain the thickness setting value of the gasket cover plate; Based on the slider height characteristic parameters, subtract the larger of the upper cover plate thickness setting value, the lower cover plate thickness setting value, the lower rack thickness setting value, the upper rack thickness setting value, and the shim replacement cover plate thickness setting value to obtain the U-shaped component height calculation value; The calculated height of the U-shaped component is incorporated into the set of robust dimension parameters for the slider.

8. The robust design optimization method for slider dimensions of hangar door tracks as described in claim 1, characterized in that, The steps for constructing the closed-loop tolerance constraint condition of the size chain are as follows: Obtain the set value of the installation adjustment gap between the end of the angle steel and the outer chord of the horizontal truss; Obtain the bolt diameter and elongated hole length values ​​from the fixed bolt distribution position parameters; Based on the installation adjustment gap setting value, the bolt diameter value, and the elongated hole length value, calculate the longitudinal adjustment allowance of the angle steel relative to the U-shaped block; Based on the aforementioned adjustment allowance in the along-rail direction, determine the additional amount of rack length; The rack length addition is added to the rack shear bearing length required to obtain the total rack length value; The total length of the rack is used as the output verification item of the closed-loop tolerance constraint condition of the dimensional chain.

9. The robust design optimization method for slider dimensions of hangar door tracks as described in claim 8, characterized in that, The calculation steps for the longitudinal adjustment allowance of the angle steel relative to the U-shaped block are as follows: The difference between the length of the oblong hole and the diameter of the bolt is obtained to get the first difference; Divide the first difference by two to obtain the single-sided adjustment stroke of the elongated hole; Obtain the numerical value of the installation adjustment gap setting; Compare the single-sided adjustment stroke of the elongated hole and the installation adjustment gap setting value, and take the smaller value of the two as the effective adjustment stroke; Multiply the effective adjustment stroke by two to obtain the longitudinal adjustment margin.

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