A method, system and device for optimizing the stability parameters of an A-frame ladder outrigger

Abstract

The present application belongs to the field of data processing, and provides a method, system and device for optimizing stability parameters of a herringbone ladder outrigger, wherein the lateral outward movement is used as redundancy, the horizontal loading force is divided by the lateral stiffness, and the effective half-width without outward extension is obtained by subtracting the lateral outward movement from the half-width without outrigger; the minimum moment extension is the non-negative part of the difference between the required half-width and the effective half-width without outward extension, and the minimum anti-slide extension is the tangent function of the directional margin angle multiplied by the anchor point height; whether the parameters of the herringbone ladder need to be optimized is determined according to whether the maximum value in the minimum moment extension and the minimum anti-slide extension falls within the extension constraint interval. Thus, design, manufacturing and testing can be unified, trial and error can be reduced, stability can be improved, and the first-time pass rate of type testing can be improved.

Description

Technical Field

[0001] This invention belongs to the field of data processing, and specifically relates to a method, system and device for optimizing the stability parameters of the external support of an A-frame ladder. Background Technology

[0002] A-frame ladders, including platform ladders, are widely used in electrical installation, renovation and maintenance, and warehouse picking. To improve operational stability, the industry often reduces the risk of tipping over and slipping by adding external supports or stabilizers to the bottom of the ladder, enlarging the contact surface of the foot pads, or configuring adjustable feet. Furthermore, companies use lateral displacement, slippage / tilting, and base widening as stability criteria during type testing. A parametric model of the A-frame ladder can be designed first, followed by the production of a batch of prototypes, or simulation experiments can be conducted directly on the parametric model to identify any problems. These issues can then be used to adjust the parametric model. Current product designs primarily focus on structural improvements, such as support feet, stabilizer configurations, and locking mechanisms, but they still fall short in parametric, calculable design, including integrated mapping of geometry, load, and stiffness.

[0003] On the one hand, existing technologies mostly improve stability by directly increasing the grounding range through support feet and stabilizer structures. However, they generally lack a closed-loop method for deriving the external support design quantity from product input parameters, including but not limited to height, load, geometry, and stiffness. For example, patent document CN208416430U proposes a support foot for an A-frame ladder, which adapts to uneven ground and increases the grounding area through mechanical components such as multiple springs, suction cups, and telescopic rods, thereby improving the fixing effect. However, its disclosure focuses on structural layout and component connections, without providing a parametric calculation chain from geometry to load to stiffness to external support dimensions. The coupling of deformation under stress and manufacturing constraints is also not discussed, resulting in the determination of dimensions still relying on experience and repeated experiments. On the other hand, some published documents reduce the risk of tipping and slipping by adding stabilizing devices or multi-directional supports. Patent document CN107605391A discloses an anti-slip and anti-tipping A-frame ladder. It expands the support range and improves stability by combining dynamic / fixed support rods, limiting slide rails and support feet, which is a structural improvement. However, it also focuses on the mechanism configuration and deployment method, and does not perform analytical modeling of the quantitative boundaries of the external support length and anti-tipping and anti-slip criteria, such as the minimum required extension under a given horizontal loading force and total weight. It also does not incorporate displacement correction caused by stiffness and production limitations, such as hole position dispersion, tolerance, strength / deflection limit, etc. into the integrated design criteria. Therefore, it is difficult to calculate and align with the mass production stage at once.

[0004] Traditional technologies often rely on structural additions and prototype trial and error, making it impossible to directly derive key design quantities such as minimum outward extension and effective angle of the external support from input parameters. This results in long R&D cycles and insufficient reproducibility and auditability. Existing technologies are mainly based on mechanism descriptions and have not established a consistent model of deformation and stability. The determination of external support dimensions is often not linked to CAD interference envelope, tolerance shrinkage, strength, deflection verification, and hole position discretization set, inevitably leading to frequent discrepancies between calculated values ​​and the lower limit of mass production assembly. Summary of the Invention

[0005] The purpose of this invention is to provide a method, system, and device for optimizing the stability parameters of the external support of an A-frame ladder, so as to solve one or more technical problems existing in the prior art, and at least provide a beneficial option or create conditions.

[0006] To achieve the above objectives, according to one aspect of the present invention, a method for optimizing the stability parameters of the external bracing of an A-frame ladder is provided. This method involves inputting parameter data of the A-frame ladder, wherein the parameter data originates from bench measurements of a computer-aided design model and / or a physical prototype. Based on this parameter data, parameters of the ladder or its design model, such as platform height, horizontal loading force, total weight, half-width without external bracing, anchor point height, lateral stiffness, vertical stiffness, overhang constraint range, directional margin angle, minimum closed external bracing length, and effective seat angle, can be obtained. The method may include the following steps:

[0007] The horizontal loading force is processed to obtain the redundant horizontal loading force. The redundant horizontal loading force is divided by the vertical stiffness to obtain the vertical redundancy. The vertical redundancy is subtracted from the platform height to obtain the effective vertical height.

[0008] The required half-width is obtained by multiplying the ratio of the redundant horizontal loading force to the total weight by the effective vertical height; the lateral outward shift is obtained by dividing the redundant horizontal loading force by the lateral stiffness; the effective half-width without outward extension is obtained by subtracting the lateral outward shift from the half-width without external support.

[0009] Minimum torque overhang can be used to represent the minimum overhang that meets the torque requirement. It can be the non-negative part of the difference between the required half-width and the effective half-width without overhang. Minimum anti-slip overhang can be used to represent the minimum overhang that meets the anti-slip requirement. It can be obtained by multiplying the tangent function of the direction margin angle by the anchor point height.

[0010] Whether the parameters of the A-frame ladder need to be optimized depends on whether the maximum value of the minimum torque extension and the minimum anti-slip extension falls within the extension constraint range.

[0011] Traditional methods often rely on empirical widths or finite element methods, involving multiple rounds of prototype trial and error to determine the external support length. This lacks a closed boundary, resulting in high prototyping costs, slow convergence, and poor reproducibility of conclusions. Previous technologies relied on experience and trial and error for external support dimensions, lacking a unified boundary, leading to slow iteration and non-reproducibility. This invention, however, calculates L in a single step, given the input parameter data set including {H, F, σ, W_total, d_B0, h_anchor, k(lat,eff), k(vert,eff), [L_min,L_max]}. It features no iteration, recalculation, and rapid cross-model comparison, significantly shortening the R&D cycle. L can be... Set the values ​​or lower limits of the BOM or hole positions and assembly limit fixtures to reduce the risk of type testing caused by assembly errors.

[0012] Furthermore, the parameters including platform height, half-width without external support, and anchor point height are extracted from the CAD model of the A-frame ladder, while the lateral stiffness and vertical stiffness are data provided by simulation software or a database.

[0013] Furthermore, the lateral stiffness and vertical stiffness in the parameter data are either obtained by applying horizontal and / or vertical forces and measuring displacement at the loading point of the A-frame ladder to be tested.

[0014] Furthermore, the redundancy is used to amplify the horizontal loading force into a redundant horizontal loading force. The redundancy is calculated as follows: the ratio of the lower limit of the extended constraint interval to the upper limit is multiplied by the ratio of the minimum of the lateral stiffness and the vertical stiffness to the maximum value, and the resulting value is the redundancy.

[0015] Furthermore, if the maximum value between the minimum torque extension and the minimum anti-slip extension falls within the extension constraint range, it indicates that the anti-slip performance of the A-frame ladder design is qualified.

[0016] Furthermore, if the parameter data does not contain a preset orientation margin angle, or if the orientation margin angle data in the parameter data is lost, or if the value of the preset orientation margin angle needs to be updated after the model is modified and updated, the method for calculating the orientation margin angle may also be:

[0017] The lateral self-consistent extension is obtained by subtracting the lateral outward displacement from the minimum torque extension;

[0018] The square root of the sum of the square of the horizontal self-consistent extension and the square of the horizontal increase is the horizontal self-consistent differentiation.

[0019] The ratio obtained by comparing the lateral self-consistent extension with the lateral self-consistent differentiation is the lateral self-consistent differentiation ratio, and the angle obtained by passing the lateral self-consistent differentiation ratio through the arcsine function is the direction margin angle.

[0020] In the past, the directional margin angle δ was subjectively set as a threshold, which was difficult to audit and reuse. However, the directional margin angle calculation method described in this invention can be adaptively solved by existing variables. With the torque boundary as the benchmark, the subjective threshold is eliminated. Different machine types, loads and stiffness combinations automatically give reasonable margins, making the evidence chain more closed and improving the pass rate of the A-frame ladder outward stability test.

[0021] Furthermore, preferably, it can be determined whether the parameters of the A-frame ladder need to be optimized based on whether the maximum value of the minimum torque extension and the minimum anti-slip extension falls within the extension constraint range. The method can be as follows:

[0022] If the maximum value between the minimum torque extension and the minimum anti-slip extension does not fall within the extension constraint range, it indicates insufficient anti-slip, and the parameters of the A-frame ladder need to be optimized. The maximum value between the minimum torque extension and the minimum anti-slip extension can be used as the minimum closed external support length that the A-frame ladder should have after updating and correcting. Alternatively, based on the difference between the minimum closed external support length and the lateral outward movement, combined with the difference between the anchor point height and the vertical redundancy, the geometric effective seat angle that the A-frame ladder should have after updating and correcting can be generated.

[0023] Specifically, for example, if the maximum value of the minimum torque extension and the minimum anti-slip extension falls within the extension constraint range, it indicates that the anti-slip performance of the A-frame ladder design is qualified, and it is allowed to directly output its current or preset closed minimum external support length and geometric effective seat angle.

[0024] If the maximum value of the minimum torque extension and the minimum anti-slip extension does not fall within the extension constraint range, it indicates that the anti-slip performance of the A-frame ladder design is insufficient, prompting the issuance of instructions to optimize the parameters of the A-frame ladder. Sometimes, it may also be an instruction to increase the half-width without external support and the anchor point height.

[0025] In the past, when L When parameters exceed limits, the lack of quantitative handling necessitates rework. This invention, when faced with parameters that might be infeasible with previous techniques, uses inverse parameter analysis with infeasibility branches and minimum redundancy to provide directions for structural parameter tuning, such as increasing d_B0 and / or h_anchor, or replacing external support specifications. This achieves quantitative engineering handling, significantly reducing blind trial and error, and incorporates σ and modification suggestions into the operational process, successfully forming a closed loop.

[0026] Furthermore, it may also include verifying the effective geometrical seat angle before outputting it, specifically as follows:

[0027] The square root of the sum of the square of the effective lateral extension and the square of the lateral increase is taken as the effective lateral extension distance. The effective lateral extension is compared with the effective lateral extension distance to obtain the ratio.

[0028] Determine whether the ratio obtained by comparison is not less than the sine function of the direction margin angle. If so, the output of the geometrically effective set angle is allowed.

[0029] Previous methods have neglected the potential influence of stress-induced deformations such as Δy and ΔH, resulting in theoretical tests passing but actual tests failing. This invention uses the aforementioned effective seat angle for anti-slip verification, comparing the nominal geometry with the geometry after stress, significantly improving the consistency between simulation and bench testing, and increasing the confidence in passing type tests on the first attempt.

[0030] This invention also provides a system for optimizing the stability parameters of an A-frame ladder's external supports. The system includes a processor, a memory, and a computer program stored in the memory and executable on the processor. When the processor executes the computer program, it implements the steps of the method for optimizing the stability parameters of the A-frame ladder's external supports. The system can run on computing devices such as desktop computers, laptops, handheld computers, and cloud data centers. The runnable system may include, but is not limited to, processors, memory, and server clusters. The processor executes the computer program within the following system units:

[0031] The mechanical processing unit is used to obtain a redundant horizontal loading force by processing the horizontal loading force with redundancy. The redundant horizontal loading force is divided by the vertical stiffness to obtain the vertical redundancy. The vertical redundancy is subtracted from the platform height to obtain the effective vertical height.

[0032] The extended processing unit is used to multiply the ratio of the redundant horizontal loading force to the total weight by the effective vertical height to obtain the required half-width; the lateral outward shift is obtained by dividing the redundant horizontal loading force by the lateral stiffness; and the effective half-width without outward extension is obtained by subtracting the lateral outward shift from the half-width without external support.

[0033] The calculation and processing unit is used to calculate the non-negative part of the difference between the required half width and the effective half width without extension, and to calculate the minimum anti-slip extension as the tangent function of the direction margin angle multiplied by the anchor point height.

[0034] A judgment unit is generated to determine whether the parameters of the A-frame ladder need to be optimized based on whether the maximum value of the minimum torque extension and the minimum anti-slip extension falls within the extension constraint range.

[0035] Correspondingly, the present invention also provides an electronic device, a readable storage medium, and a computer program product:

[0036] An electronic device includes: at least one processor; and a memory communicatively connected to the at least one processor; wherein the memory stores instructions executable by the at least one processor, the instructions being executed by the at least one processor to enable the at least one processor to perform a method for optimizing the stability parameters of an A-frame ladder support and the methods for each step thereof.

[0037] A non-transitory computer-readable storage medium storing computer instructions, wherein the computer instructions are used to cause the computer to perform the method for optimizing the stability parameters of the external support of an A-frame ladder and the method for each step thereof.

[0038] A computer program product includes a computer program that, when executed by a processor, implements a method for optimizing the stability parameters of an A-frame ladder's external support, as well as the methods for each step thereof.

[0039] The beneficial effects of this invention are as follows: This invention provides a method, system, and device for optimizing the stability parameters of the external bracing of an A-frame ladder. Lateral outward displacement is obtained by dividing the redundant horizontal loading force by the lateral stiffness; the effective half-width without outward extension is obtained by subtracting the lateral outward displacement from the half-width without outward extension; the minimum moment outward extension is the non-negative part of the difference between the required half-width and the effective half-width without outward extension; the minimum anti-slip outward extension is obtained by multiplying the tangent function of the direction margin angle by the anchor point height; it determines whether the maximum value of the minimum moment outward extension and the minimum anti-slip outward extension falls within the outward extension constraint range: the maximum value of the minimum moment outward extension and the minimum anti-slip outward extension is taken as the closed minimum outward bracing length, and the output geometric effective seat angle is generated based on the difference between the closed minimum outward bracing length and the lateral outward displacement, combined with the difference between the anchor point height and the vertical redundancy. This method can unify design, manufacturing, and testing, reduce trial and error, improve stability, and increase the first-pass rate of type testing.

[0040] This invention proposes a parametric modeling and optimization technique that unifies torque balance, anti-slip direction geometry, and stiffness deformation. Given inputs such as platform height, horizontal loading force with or without redundancy, total weight, half-width without external support, anchor point height, and lateral and vertical equivalent stiffness, it can solve key design quantities such as minimum external support length in a closed loop and output measurable indicators such as effective seat angle after force application. At the same time, it integrates the overhang constraint interval and criteria to form a design boundary that can be verified from design to mass production. Attached Figure Description

[0041] The above and other features of the present invention will become more apparent from the detailed description of the embodiments shown in conjunction with the accompanying drawings. In the accompanying drawings, the same reference numerals denote the same or similar elements. Obviously, the drawings described below are merely some embodiments of the present invention. For those skilled in the art, other drawings can be obtained from these drawings without any creative effort. In the drawings:

[0042] Figure 1 The diagram shows a flowchart of a method for optimizing the stability parameters of the external support of a A-frame ladder.

[0043] Figure 2 The figure shown is a system structure diagram for optimizing the stability parameters of the external support of a A-frame ladder. Detailed Implementation

[0044] The following will provide a clear and complete description of the concept, specific structure, and technical effects of the present invention in conjunction with the embodiments and accompanying drawings, so as to fully understand the purpose, solution, and effects of the present invention. It should be noted that, unless otherwise specified, the embodiments and features described in this application can be combined with each other.

[0045] In the description of this invention, "several" means one or more, "more than" means two or more, "greater than," "less than," and "exceeding" are understood to exclude the stated number, while "above," "below," and "within" are understood to include the stated number. The use of "first" and "second" in the description is merely for distinguishing technical features and should not be construed as indicating or implying relative importance, or implicitly indicating the number of indicated technical features, or implicitly indicating the order of the indicated technical features.

[0046] like Figure 1 The diagram shown is a flowchart of a method for optimizing the stability parameters of an A-frame ladder according to the present invention. The following is a summary of the method. Figure 1 This invention describes a method, system, and apparatus for optimizing the stability parameters of the external supports of an A-frame ladder according to embodiments of the present invention. The present invention proposes a method for optimizing the stability parameters of the external supports of an A-frame ladder, which specifically includes the following steps:

[0047] The horizontal loading force is processed to obtain the redundant horizontal loading force. The redundant horizontal loading force is divided by the vertical stiffness to obtain the vertical redundancy. The vertical redundancy is subtracted from the platform height to obtain the effective vertical height.

[0048] The required half-width is obtained by multiplying the ratio of the redundant horizontal loading force to the total weight by the effective vertical height; the lateral outward shift is obtained by dividing the redundant horizontal loading force by the lateral stiffness; the effective half-width without outward extension is obtained by subtracting the lateral outward shift from the half-width without external support.

[0049] The minimum torque overhang is the non-negative part of the difference between the required half-width and the effective half-width without overhang; the minimum anti-slip overhang is the result of multiplying the tangent function of the direction margin angle by the anchor point height.

[0050] Whether the parameters of the A-frame ladder need to be optimized depends on whether the maximum value of the minimum torque extension and the minimum anti-slip extension falls within the extension constraint range.

[0051] In some embodiments, preferably, the parameters of the A-frame ladder can be input, which are derived from bench measurements of a computer-aided design model and / or a physical prototype. Based on these parameters, the following parameters can be obtained: platform height H, horizontal loading force F, total weight W_total, half-width without external support d_B0, anchor height h_anchor, lateral stiffness k(lat,eff), vertical stiffness k(vert,eff), overhang constraint interval [L_min, L_max], and directional margin angle δ. These parameters are then used for calculation.

[0052] The horizontal loading force F is processed by redundancy σ to obtain the redundant horizontal loading force F′. The redundant horizontal loading force F′ is divided by the vertical stiffness k(vert,eff) to obtain the vertical redundancy ΔH. The vertical effective height h_eff is obtained by subtracting the vertical redundancy ΔH from the platform height H.

[0053] The required half-width d(eff,min) is obtained by multiplying the ratio of the redundant horizontal loading force F′ to the total weight W_total by the effective vertical height h_eff.

[0054] Lateral outward displacement Δy is obtained by dividing the redundant horizontal loading force F′ by the lateral stiffness k(lat,eff), and the effective half-width without extension d_(B0,eff) is obtained by subtracting the lateral outward displacement Δy from the half-width without external support d_B0.

[0055] The minimum torque extension L_torque is the non-negative part of the difference between the required half-width d(eff,min) and the effective half-width d_(B0,eff) without extension;

[0056] The minimum anti-slip overhang L_slide is obtained by multiplying the tangent function of the direction margin angle δ by the anchor height h_anchor tan(δ);

[0057] Determine whether the maximum value of the minimum torque extension L_torque and the minimum anti-slip extension L_slide falls within the extension constraint interval [L_min, L_max]:

[0058] If not, it indicates insufficient anti-slip properties, and you can be prompted to adjust the structure / BOM parameters, such as sending commands to increase the single-sided extension L or increase d_B0, h_anchor, etc.

[0059] Alternatively: the maximum value between the minimum torque extension L_torque and the minimum anti-slip extension L_slide can be used as the minimum closed-loop support length L. And based on the minimum external support length L of the closed type The difference between the lateral outward shift Δy and the difference between the anchor height h_anchor and the vertical redundancy ΔH are used to generate the output geometrically effective seat angle θ_eff.

[0060] Preferably, the minimum closed external support length L is used. Subtracting the lateral outward shift Δy yields the effective lateral extension L_eff. Subtracting the vertical redundancy ΔH from the anchor height h_anchor yields the lateral increase h_eff. Based on the effective lateral extension L_eff and the lateral increase h_eff, the effective geometrical seat angle θ_eff is generated.

[0061] Furthermore, the parameters in the parameter data, including the platform height H, the unsupported half-width d_B0, and the anchor height h_anchor, are data extracted from the CAD model of the A-frame ladder, while the lateral stiffness k(lat,eff) and vertical stiffness k(vert,eff) are data provided by simulation software or a database.

[0062] Furthermore, the lateral stiffness k(lat,eff) and vertical stiffness k(vert,eff) in the parameter data are either obtained by applying horizontal and / or vertical forces and measuring displacement at the loading point of the A-frame ladder to be tested.

[0063] In this invention, the L_min and L_max of the extended constraint interval can be determined by engineering-verifiable data: First, in CAD, the extension of the outer support leg of the A-frame ladder around the hinge point is checked for collision or interference to obtain the geometrically reachable envelope interval; Based on this envelope interval, assembly and manufacturing tolerances are deducted, such as hole spacing, welding / bending deviation, gasket thickness difference, etc., to form a manufacturable interval; Then, the strength and stiffness are quickly checked using F'=F(1+σ) as the test force, and after eliminating the lengths that would cause overstress or excessive deflection, the continuous interval is finally discretized to an optional set of actual part numbers / hole positions, and the minimum and maximum values ​​of their intersection are taken as L_min and L_max, respectively.

[0064] Furthermore, the redundancy σ is used to amplify the horizontal loading force F by (1+σ) times to obtain the redundant horizontal loading force F′. The redundancy σ is calculated as follows: the ratio of the lower limit of the extended constraint interval to the upper limit is multiplied by the ratio of the minimum value of the lateral stiffness k(lat,eff) and the vertical stiffness k(vert,eff) to the maximum value. The resulting value is the redundancy σ.

[0065] Furthermore, if the maximum value of the minimum torque extension L_torque and the minimum anti-slip extension L_slide does not belong to the extension constraint interval [L_min, L_max], then according to the closed minimum external support length L... The difference between the lateral outward shift Δy and the difference between the anchor height h_anchor and the vertical redundancy ΔH are used to generate the output geometrically effective set angle θ_eff, specifically:

[0066] The effective lateral extension L_eff is the minimum closed external support length L. Subtracting the lateral outward shift Δy, the lateral increase h_eff is obtained by subtracting the vertical redundancy ΔH from the anchor height h_anchor;

[0067] Calculate the ratio h_eff / L_eff, which is the ratio of the lateral increase h_eff to the effective lateral extension L_eff. Then, take the arctangent of the ratio h_eff to L_eff to obtain the effective geometric seat angle θ_eff.

[0068] Furthermore, the effective geometrical seat angle θ_eff can be verified before being output, specifically as follows:

[0069] The square root of the sum of the square of the effective lateral extension L_eff and the square of the lateral increase h_eff is taken as the effective lateral extension distance. The effective lateral extension L_eff is compared with the effective lateral extension distance to obtain the ratio.

[0070] Determine whether the ratio obtained by comparison is not less than the sine function of the direction margin angle δ. If so, the geometric effective seat angle θ_eff can be output directly.

[0071] Furthermore, the method for calculating the direction margin angle δ can also be as follows:

[0072] The self-consistent extension L_eq is the difference between the required half-width d(eff,min) and the effective half-width d_(B0,eff) without extension;

[0073] Lateral self-consistent extension L_eq Δy is obtained by subtracting the lateral outward shift Δy from the self-consistent outward extension L_eq;

[0074] With lateral self-consistent extension L_eq The square root of the sum of the square of Δy and the square of the horizontal increase h_eff is the horizontal self-consistent differentiation.

[0075] With lateral self-consistent extension L_eq The ratio Δy obtained by comparing it with the transverse self-consistent differentiation is the transverse self-consistent differentiation ratio δeq, and the angle obtained by passing the transverse self-consistent differentiation ratio δeq through the arcsine function is the direction margin angle δ.

[0076] Furthermore, the method may also include:

[0077] If the maximum value of the minimum torque extension L_torque and the minimum anti-slip extension L_slide falls within the extension constraint interval [L_min, L_max], it indicates that the anti-slip performance of the A-frame ladder design is qualified, and the minimum closed external support length L is allowed to be output. With geometrically effective seat angle θ_eff;

[0078] If the maximum value of the minimum torque extension L_torque and the minimum anti-slip extension L_slide does not fall within the extension constraint interval [L_min, L_max], it indicates that the anti-slip performance of the A-frame ladder design is insufficient, and prompts the sending of instructions such as increasing the unsupported half-width d_B0 and the anchor height h_anchor.

[0079] In some of the embodiments provided, the platform height H (unit: m) refers to the vertical distance from the platform surface to the ground. This applies to platform ladders / A-frame ladders with platforms. The EN131 standard limits the size and purpose of platform ladders. For example, the international product standard EN131-7 specifies that mobile ladders with platforms should have a platform area not exceeding 1 m², a platform height not exceeding 5 m, and a rated total load of 150 kg. The platform height H can be measured by placing the prototype on a level surface and measuring the distance from the highest working surface of the platform to the ground using a steel ruler / laser rangefinder, and then recording the result.

[0080] The horizontal loading force F (unit: N) is the horizontal component of the loading force. It can be the loading force of an A-frame ladder under lateral working conditions, applied by a winch, tension gauge, electric loader, or force sensor at a specified loading point. It can be used to test the anti-tilting and anti-displacement performance under foreseeable use conditions. The OSHA standard clearly requires that portable ladders must be placed on a stable horizontal surface or have reinforcement or stabilization measures to prevent displacement. The enterprise type test procedure should specify the magnitude, direction, and loading point of F.

[0081] The redundancy factor σ (unit, %) is the safety / design margin that amplifies the theoretical test force F to the actual F'=F(1+σ). It is used to form the structural design boundary and reduce the uncertainty of batch testing. The specific value of this can also be consistent with the conservative design and displacement prevention emphasized by the ANSI / OSHA system.

[0082] The total weight W_total (in N) is the self-weight of the ladder in the test configuration plus the representative operating load, including the combined weight of the user and tools. EN131 specifies a maximum total load of 150 kg. This includes the weight of the person and tools, which can be used to set the representative operating conditions.

[0083] The half-width without external support, d_B0 (unit: m), refers to the horizontal distance from the outer edge of the outer foot pad on the same side of the force-bearing surface to the projection of the geometric center line of the ladder onto the ground, especially the half-width of the base without external support. When measuring d_B0, the prototype is placed on the test ground, the center line is positioned, and the measurement is taken with a steel ruler or laser ruler. The contact point positioning method can be recorded by marking lines or using a feeler gauge.

[0084] The anchor height h_anchor (in meters) represents the vertical height from the center of the hinge axis connecting the outer support leg and the side beam to the ground, or the equivalent center of force in a clamping configuration. It is measured using calipers or a steel tape measure from the center of the hinge axis to the ground.

[0085] k(lat,eff) and k(vert,eff) are the equivalent lateral and vertical stiffnesses (N / m), representing the linearized stiffness at the loading point. The calibration method involves applying a horizontal / vertical force at a given loading point, measuring the corresponding displacement, and preferably using least-squares linear regression and recording the regression interval. The loading and displacement control requirements of EN131 provide reference boundaries for the working conditions and allowable displacements for calibration.

[0086] The [L_min, L_max] extension manufacturing range (unit, m) is obtained by checking the strength and deflection under F' after tolerance shrinkage of the CAD interference envelope, and then intersecting it with the discrete set of hole positions / part numbers. If the design size limit range of the stabilizer or external support meets general improvement requirements such as the requirement that a base stabilizer must be equipped for a ladder with a support of ≥3m according to EN131, it should also be reflected in the selection constraints.

[0087] The directional margin angle δ (unit: degree) is the geometric margin angle in the anti-slip direction. To avoid subjective thresholding, it is recommended to use the self-consistent δ value obtained by inverse kinematics of the moment boundary as the algorithm output. Some existing technologies also set it to 0°~10°.

[0088] Among them, the minimum external support length L of the closed type This refers to the horizontal extension length of a single-sided external support leg, from the projected edge of the base on that side of the ladder to the actual contact point between the external support leg and the ground. In some cases, minor lateral displacement corrections are considered after loading. It is not the total width of the entire machine, but rather the additional extension beyond the original unsupported half-width d_B0. In other words, effective half-width = d_B0 + L - Δy, where Δy is the lateral outward displacement under load, obtained from lateral stiffness calibration. The advantage of this definition is that it directly aligns with the specifications for widened bases / stabilizers: the function of a stabilizer is to widen the base, and many market standards define stabilizers / stabilizing beams as components that prevent slippage and tilting by widening the base.

[0089] The effective geometric angle θ_eff refers to the equivalent geometric angle of the outer support leg after it is subjected to force: it is composed of the anchor point height and the horizontal extension distance. The anchor point height is the vertical height from the center of the hinge axis connecting the outer support and the side beam to the ground, denoted as h_anchor, and corrected by force as h_eff. The horizontal extension distance is the horizontal distance from the landing point of the outer support leg to the projection of the side beam base, and corrected by force as L_eff. It describes the angle of the outer support rod, such as from the anchor point to the landing point, relative to the ground, and is used as a criterion for anti-slip direction, for example, for directional margin. Although the industry does not mandate a defined outer support angle, there are clear requirements for widening of stabilizers / bases and displacement restrictions. Therefore, θ_eff is used to quantify the geometry after force application, making it easier to align with standard specifications for displacement stability. For example, the international standard EN131 emphasizes widening and stabilizers; while the standard OSHA / ANSI emphasizes stable support and displacement prevention.

[0090] The single-sided extension (L) is sometimes for commercially available stabilizers / lateral stabilizing bars, and an increase of tens to hundreds of millimeters on one side is common. The overall width of the stabilizer is often in the range of 600–1200mm to increase the base width. There is significant variation between different models, but the core purpose is to widen the base to meet the consistent requirement of long ladders needing stabilizers / widened bases. The external support angle depends on the anchor point height and the extension, and is commonly around 45°–65° in engineering. For example, a higher anchor point or a smaller extension results in a larger angle, and vice versa. In fact, there is no uniform hard threshold for the angle in the industry, but the geometric state is indirectly constrained by anti-slip / displacement limitations. Correspondingly, there is also the working angle of the leaning ladder. Many safety guidelines recommend approximately 75° for leaning ladders; this is the angle between the entire ladder and the ground, used for another type of product or working condition, and is for reference only, not equivalent to the external support angle mentioned above.

[0091] In one embodiment provided, the platform is approximately 1.60m high, the redundant horizontal loading force F' is approximately 220N, the total weight is 1128N, the stiffness calibration is k_lat = 60kN / m, k_vert = 200kN / m, d_B0 = 0.20m, and h_anchor = 0.18m. The calculated L in the embodiment... =0.1155m is approximately 115.5mm, meaning that on one side, the extension must be at least 115.5mm beyond the original base to ensure that it neither tipps over nor slips under F'. θ_eff is approximately 58.0°, which is the actual seat angle of the outer strut relative to the ground after being stressed, used as a criterion for determining the anti-slip direction. Preferably, the BOM / hole position can also include L. As the lower limit for assembly; when the hole spacing is 10mm, round up to 120mm as the mass production setting; the fixture and assembly can also be equipped with GO / NO-GO limit gauges, for example, setting GO=120mm to avoid assembly that is too short. If the ground is flat and dry, the A-frame ladder should be supported to a depth of ≥120mm, with a support angle close to 58°; if the ground is uneven or slippery, it must be reinforced or a stabilizer added before use.

[0092] L The purpose of the minimum external support length for closed structures is in the design modeling and selection process, using L... Lock the hole / tooth position or rod length of the external support feet, selecting the most recent mass-produced discrete value that must be within [L_min, L_max]. This directly relates to whether the base width / stabilizer width meets the standard expectations. For example, the revision of EN131 requires the introduction of stabilizers or widening of the base for long ladders, especially those over 3m, which require stabilizers or widened bases. This is the quantitative evidence to prove that our base is wide enough. Preferably, L... As the set value or lower limit of the assembly limit fixture, it prevents the external support from being installed too short, which could cause tipping / slippage during type testing. In the pre-type test verification, the load is applied to the test bench according to F'=F(1+σ), and it must be checked to ensure that it does not tip over or slip, so as to ensure that it passes the test on the first try.

[0093] The effective geometrical bearing angle θ_eff can be used for geometric verification after loading. θ_eff reflects the true support direction after loading, including deformations such as Δy and ΔH. We use it to prove that the load remains within a safe and stable angular envelope. On the assembly line, we use angle gauges / visual measurements to randomly check θ_eff or its allowable bandwidth as a criterion for determining whether the external support unfolding angle is qualified or unqualified, thus preventing individual parts from having their anti-slip boundaries occupied due to deformation / tolerance accumulation.

[0094] This method supports dual-channel implementation. During the design phase, geometric quantities such as H, d_B0, and h_anchor are extracted using CAD, and initial stiffness values ​​are provided. L is then quickly solved in a closed-form formula. With θ_eff; during the prototype stage, bench measurements were performed according to the loading and displacement control requirements of EN 131 / ANSI / OSHA based on the enterprise type test procedures, k(lat,eff) / k(vert,eff) was calibrated and L was recalculated. The 3D USI model has been verified.

[0095] One of the embodiments is as follows:

[0096] The operating conditions selected in this embodiment are as follows: platform height 1.60m; horizontal test force 200N; redundancy factor 10%, i.e., checked based on 220N; total weight of the entire machine including the representative load approximately 1128.15N; base half-width without external support 0.20m; height from the hinge point of the external support and side beam to the ground 0.18m; lateral equivalent stiffness 60,000N / m; vertical equivalent stiffness 200,000N / m; manufacturable overhang range 0.05m to 0.30m; directional margin angle exemplified as 10 degrees. First considering vertical compression, using the 220N check force and adjusting for vertical stiffness, the platform height decrease is approximately 0.00110m, therefore the corrected effective height is approximately 1.5989m. Converting the corrected effective height with the 220N check force, the minimum required stable half-width for this operating condition is approximately 0.3118m. Considering the lateral outward displacement, calculated based on the lateral stiffness using a check force of 220N, the lateral outward displacement is approximately 0.003667m. Therefore, the effective half-width without external bracing should be reduced from 0.20m by this outward displacement, resulting in approximately 0.196333m. Under the conditions provided in this embodiment, to meet the overturning moment requirements, the external bracing needs to extend at least an additional 0.115467m, or about 115.5mm. Meanwhile, based on a 10-degree directional margin angle and an anchor point height of 0.18m, the minimum outward extension on the anti-slip side is only about 0.031739m. Taking the larger of these two as the lower limit of the design and aligning it with the production area, we obtain the minimum closed external bracing length L of this embodiment. The distance is approximately 0.1155m, or about 115.5mm, which falls within the manufacturing allowable range of 0.05–0.30m. Under this condition, the minimum outward extension length of the external support is approximately 115.5mm. To meet assembly and tolerance requirements, during mass production, it is advisable to round up to the adjacent hole spacing, for example, setting it to 120mm, and use this as the lower limit for assembly limits and inspection tool release.

[0097] There may also be a second embodiment, which is as follows:

[0098] The minimum external support L obtained in Example 1 Based on this, the geometric changes after being subjected to force are incorporated into the verification: Under a horizontal load of 220N, the lateral outward displacement is approximately 0.003667m. Therefore, the effective lateral extension of the external support should be subtracted from this outward displacement from 0.1155m, resulting in approximately 0.1118m. Simultaneously, the vertical compression caused by the same horizontal load is approximately 0.00110m. Therefore, the "effective vertical height" should be subtracted from this drop from 0.18m, resulting in approximately 0.1789m. Calculating the effective geometric angle using the above two geometric quantities after being subjected to force, the actual force angle of the external support relative to the ground is approximately 58.0 degrees. Using this geometry after being subjected to force for anti-slip direction verification, it can be seen that the directional margin of the external support under the current settings is significantly sufficient, meeting the anti-slip requirement with a directional margin angle of 10 degrees as an example. The effective geometric angle under this working condition is approximately 58.0 degrees, indicating sufficient anti-slip margin and passing the stability test.

[0099] There is also an embodiment three, which can be specifically as follows:

[0100] To avoid subjectivity in determining the directional margin angle, this embodiment defines it as the self-consistent angle that just satisfies the anti-slip condition at the minimum external support boundary. The specific method is as follows: First, calculate the required stable half-width of approximately 0.3118m, lateral outward displacement of approximately 0.003667m, and vertical compression of approximately 0.00110m according to the boundary conditions of Embodiment 1. Then, substitute the boundary value where the external support just reaches the minimum extension, and we obtain the effective lateral extension after force is approximately 0.1118m, and the effective vertical height after force is approximately 0.1789m. Using these two geometric quantities after force, we deduce the critical value of the directional margin angle, which is approximately 31.9 degrees. This angle means that when the external support reaches the minimum extension and the moment side just meets the standard, if the directional margin angle is not higher than 31.9 degrees, the anti-slip condition is at the critical pass or in a safer state. If we continue to use 10 degrees as in the example, the anti-slip margin will be relatively larger. Under this condition, the self-consistent directional margin angle is approximately 31.9 degrees. Using this value as the directional parameter automatically generated by the algorithm avoids the arbitrariness of empirical thresholds and forms a self-consistent fit with the minimum external support boundary.

[0101] The system for optimizing the stability parameters of the external support of an A-frame ladder operates on any computing device, such as a desktop computer, laptop computer, handheld computer, or cloud data center. The computing device includes a processor, a memory, and a computer program stored in the memory and running on the processor. When the processor executes the computer program, it implements the steps in the method for optimizing the stability parameters of the external support of an A-frame ladder. The operable system may include, but is not limited to, a processor, a memory, and a server cluster.

[0102] An embodiment of the present invention provides a system for optimizing the stability parameters of the external support of an A-frame ladder, such as... Figure 2As shown, a system for optimizing the stability parameters of an A-frame ladder's external support in this embodiment includes: a processor, a memory, and a computer program stored in the memory and executable on the processor. When the processor executes the computer program, it implements the steps in the above-described method embodiment for optimizing the stability parameters of an A-frame ladder's external support. The processor executes the computer program within the following system unit:

[0103] The mechanical processing unit is used to obtain a redundant horizontal loading force by processing the horizontal loading force with redundancy. The redundant horizontal loading force is divided by the vertical stiffness to obtain the vertical redundancy. The vertical redundancy is subtracted from the platform height to obtain the effective vertical height.

[0104] The extended processing unit is used to multiply the ratio of the redundant horizontal loading force to the total weight by the effective vertical height to obtain the required half-width; the lateral outward shift is obtained by dividing the redundant horizontal loading force by the lateral stiffness; and the effective half-width without outward extension is obtained by subtracting the lateral outward shift from the half-width without external support.

[0105] The calculation and processing unit is used to calculate the non-negative part of the difference between the required half width and the effective half width without extension, and to calculate the minimum anti-slip extension as the tangent function of the direction margin angle multiplied by the anchor point height.

[0106] A judgment unit is generated to determine whether the parameters of the A-frame ladder need to be optimized based on whether the maximum value of the minimum torque extension and the minimum anti-slip extension falls within the extension constraint range.

[0107] In order to better unify the linear relationship and probabilistic connection between physical quantities with different units of measurement, dimensionless processing can be performed on different physical quantities.

[0108] Preferably, all undefined variables in this invention, if not explicitly defined, can be manually set thresholds.

[0109] The system for optimizing the stability parameters of an A-frame ladder's external support can run on computing devices such as desktop computers, laptops, handheld computers, and cloud data centers. The system includes, but is not limited to, a processor and memory. Those skilled in the art will understand that the examples described are merely illustrations of a method, system, and device for optimizing the stability parameters of an A-frame ladder's external support, and do not constitute a limitation on such a method, system, and device. It may include more or fewer components, or a combination of certain components, or different components. For example, the system may also include input / output devices, network access devices, buses, etc.

[0110] The present invention also provides an electronic device, a readable storage medium, and a computer program product:

[0111] An electronic device includes: at least one processor; and a memory communicatively connected to the at least one processor; wherein the memory stores instructions executable by the at least one processor, the instructions being executed by the at least one processor to enable the at least one processor to perform a method for optimizing the stability parameters of an A-frame ladder support and the methods for each step thereof.

[0112] A non-transitory computer-readable storage medium storing computer instructions, wherein the computer instructions are used to cause the computer to perform the method for optimizing the stability parameters of the external support of an A-frame ladder and the method for each step thereof.

[0113] A computer program product includes a computer program that, when executed by a processor, implements a method for optimizing the stability parameters of an A-frame ladder's external support, as well as the methods for each step thereof.

[0114] The term "electronic device" is intended to refer to various forms of digital computers, such as laptop computers, desktop computers, workstations, personal digital assistants, servers, blade servers, mainframe computers, and other suitable computers. Electronic devices can also refer to various forms of mobile devices, such as personal digital processors, cellular phones, smartphones, wearable devices, and other similar computing devices. The components shown herein, their connections and relationships, and their functions are merely illustrative and are not intended to limit the implementation of the invention described and / or claimed herein.

[0115] Various embodiments of the systems and techniques described above herein can be implemented in digital electronic circuit systems, integrated circuit systems, field-programmable gate arrays (FPGAs), application-specific integrated circuits (ASICs), application-specific standard products (ASSPs), systems-on-a-chip (SoCs), payload-programmable logic devices (CPLDs), computer hardware, firmware, software, and / or combinations thereof. These various embodiments may include implementations in one or more computer programs that can be executed and / or interpreted on a programmable system including at least one programmable processor, which may be a dedicated or general-purpose programmable processor, capable of receiving data and instructions from a storage system, at least one input device, and at least one output device, and transmitting data and instructions to the storage system, the at least one input device, and the at least one output device.

[0116] The program code used to implement the methods of the present invention can be written in any combination of one or more programming languages. This program code can be provided to a processor or controller of a general-purpose computer, special-purpose computer, or other programmable data processing device, such that when executed by the processor or controller, the program code causes the functions / operations specified in the flowcharts and / or block diagrams to be implemented. The program code can be executed entirely on the machine, partially on the machine, as a standalone software package partially on the machine and partially on a remote machine, or entirely on a remote machine or server.

[0117] In the context of this invention, a machine-readable medium can be a tangible medium that may contain or store a program for use by or in conjunction with an instruction execution system, apparatus, or device. A machine-readable medium can be a machine-readable signal medium or a machine-readable storage medium. Machine-readable media can include, but are not limited to, electronic, magnetic, optical, electromagnetic, infrared, or semiconductor systems, apparatus, or devices, or any suitable combination of the foregoing. More specific examples of machine-readable storage media include electrical connections based on one or more wires, portable computer disks, hard disks, random access memory (RAM), read-only memory (ROM), erasable programmable read-only memory (EPROM or flash memory), optical fibers, portable compact disk read-only memory (CD-ROM), optical storage devices, magnetic storage devices, or any suitable combination of the foregoing.

[0118] To provide interaction with a user, the systems and techniques described herein can be implemented on a computer having: a display device for displaying information to the user (e.g., a CRT (cathode ray tube) or LCD (liquid crystal display) monitor); and a keyboard and pointing device (e.g., a mouse or trackball) through which the user provides input to the computer. Other types of devices can also be used to provide interaction with the user; for example, feedback provided to the user can be any form of sensory feedback (e.g., visual feedback, auditory feedback, or tactile feedback); and input from the user can be received in any form (including sound input, voice input, or tactile input).

[0119] The systems and technologies described herein can be implemented in computing systems that include backend components (e.g., as a data server), or computing systems that include middleware components (e.g., an application server), or computing systems that include frontend components (e.g., a user computer with a graphical user interface or web browser through which a user can interact with embodiments of the systems and technologies described herein), or any combination of such backend, middleware, or frontend components. The components of the system can be interconnected via digital data communication of any form or medium (e.g., a communication network). Examples of communication networks include local area networks (LANs), wide area networks (WANs), and the Internet.

[0120] Computer systems can include clients and servers. Clients and servers are generally located far apart and typically interact through communication networks. Client-server relationships are created by computer programs running on the respective computers and having a client-server relationship with each other.

[0121] The processor can be a Central Processing Unit (CPU), or other general-purpose processors, digital signal processors (DSPs), application-specific integrated circuits (ASICs), field-programmable gate arrays (FPGAs), or other programmable logic devices, discrete component gate circuits, transistor logic devices, discrete hardware components, etc. The general-purpose processor can be a microprocessor or any conventional processor. The processor is the control center of the system for optimizing the stability parameters of the A-frame ladder's external support, connecting various sub-regions of the system via various interfaces and lines.

[0122] The memory can be used to store the computer program and / or modules. The processor, by running or executing the computer program and / or modules stored in the memory and calling the data stored in the memory, realizes various functions of the method, system, and device for optimizing the stability parameters of the A-frame ladder external support. The memory may mainly include a program storage area and a data storage area. The program storage area may store the operating system, at least one application program required for a function (such as sound playback function, image playback function, etc.), etc.; the data storage area may store data created based on the use of the mobile phone (such as audio data, phonebook, etc.). In addition, the memory may include high-speed random access memory, and may also include non-volatile memory, such as hard disk, memory, plug-in hard disk, smart media card (SMC), secure digital (SD) card, flash card, at least one disk storage device, flash memory device, or other volatile solid-state storage device.

[0123] It should be understood that the various forms of processes shown above can be used to rearrange, add, or delete steps. For example, the steps described in this disclosure can be executed in parallel, sequentially, or in different orders, as long as the desired result of the technical solution disclosed in this invention can be achieved, and this is not limited herein.

[0124] This invention provides a method, system, and device for optimizing the stability parameters of the external bracing of an A-frame ladder. Lateral outward displacement is obtained by dividing the redundant horizontal loading force by the lateral stiffness; the effective half-width without outward extension is obtained by subtracting the lateral outward displacement from the half-width without outward extension; the minimum moment outward extension is the non-negative part of the difference between the required half-width and the effective half-width without outward extension; and the minimum anti-slip outward extension is obtained by multiplying the tangent function of the directional margin angle by the anchor point height. The method determines whether the maximum value of the minimum moment outward extension and the minimum anti-slip outward extension falls within the outward extension constraint range. For example, the maximum value of the minimum moment outward extension and the minimum anti-slip outward extension is used as the closed minimum outward bracing length, and the output geometric effective seat angle is generated based on the difference between the closed minimum outward bracing length and the lateral outward displacement, combined with the difference between the anchor point height and the vertical redundancy. This method unifies design, manufacturing, and testing, reducing trial and error, improving stability, and increasing the first-time pass rate of type testing.

[0125] The specific embodiments described above do not constitute a limitation on the scope of protection of this invention. Those skilled in the art should understand that various modifications, combinations, sub-combinations, and substitutions can be made according to design requirements and other factors. Any modifications, equivalent substitutions, and improvements made within the spirit and principles of this invention should be included within the scope of protection of this invention.

Claims

1. A method for optimizing the stability parameters of an A-frame ladder with external supports, comprising obtaining parameter data of the A-frame ladder including platform height, horizontal loading force, total weight, half-width without external supports, anchor point height, lateral stiffness, vertical stiffness, overhang constraint range, and directional margin angle, characterized in that, The method includes: The horizontal loading force is redundantly processed to obtain the redundant horizontal loading force. The redundant horizontal loading force is divided by the vertical stiffness to obtain the vertical redundancy. The vertical redundancy is subtracted from the platform height to obtain the effective vertical height. The effective vertical height is multiplied by the ratio of the redundant horizontal loading force to the total weight to obtain the required half-width. Lateral outward displacement is obtained by dividing the redundant horizontal loading force by the lateral stiffness; the effective half-width without outward extension is obtained by subtracting the lateral outward displacement from the half-width without external support; the minimum moment outward extension is obtained by subtracting the effective half-width without outward extension from the required half-width; the minimum anti-slip outward extension is obtained by multiplying the tangent function of the direction margin angle by the anchor point height. Whether the parameters of the A-frame ladder need to be optimized depends on whether the maximum value of the minimum torque extension and the minimum anti-slip extension falls within the extension constraint range. Among them, horizontal loading force represents the horizontal component of the loading force, half width without external support represents the horizontal distance from the outer edge of the outer foot pad on the same side of the force contacting the ground to the geometric center line of the ladder projected on the ground, anchor point height represents the vertical height from the center of the hinge axis connecting the outer foot and the side beam to the ground, external extension constraint range represents the limited range of the design size of the external support, and the directional margin angle is set to 0°~10°. If the parameter data for the A-frame ladder does not provide a directional margin angle, the directional margin angle shall be calculated as follows: The lateral self-consistent extension is obtained by subtracting the lateral outward movement from the minimum moment extension; the lateral increase is obtained by subtracting the vertical redundancy from the anchor point height. The square root of the sum of the square of the horizontal self-consistent extension and the square of the horizontal increase is the horizontal self-consistent differentiation. The ratio obtained by comparing the lateral self-consistent extension with the lateral self-consistent differentiation is the lateral self-consistent differentiation ratio, and the angle obtained by passing the lateral self-consistent differentiation ratio through the arcsine function is the direction margin angle. Specifically, whether the parameters of the A-frame ladder need to be optimized is determined by whether the maximum value of the minimum torque extension and the minimum anti-slip extension falls within the extension constraint range. If the maximum value of the minimum torque extension and the minimum anti-slip extension does not fall within the extension constraint range, it indicates insufficient anti-slip. The maximum value between the minimum torque extension and the minimum anti-slip extension is taken as the closed minimum external support length; and / or the output geometric effective seat angle is generated based on the difference between the closed minimum external support length and the lateral outward movement, combined with the difference between the anchor point height and the vertical redundancy; the geometric effective seat angle represents the angle between the external support rod and the ground, and is used to determine the anti-slip direction.

2. The method for optimizing the stability parameters of the external support of an A-frame ladder according to claim 1, characterized in that, in, The parameters, including platform height, half-width without external support, and anchor point height, are extracted from the CAD model of the A-frame ladder, while the lateral stiffness and vertical stiffness are data provided by simulation software or a database.

3. The method for optimizing the stability parameters of the external support of a A-frame ladder according to claim 2, characterized in that, in, The lateral stiffness or vertical stiffness in the parameter data is obtained by applying a second horizontal force or a third vertical force at the loading point of the CAD model of the A-frame ladder, with the horizontal loading force as the first force, and measuring the displacement.

4. The method for optimizing the stability parameters of the external support of a A-frame ladder according to claim 1, characterized in that, in, The horizontal loading force is processed with redundancy to obtain a redundant horizontal loading force, which is used to amplify the horizontal loading force into a redundant horizontal loading force.

5. The method for optimizing the stability parameters of the external support of a A-frame ladder according to claim 1, characterized in that, in, If the maximum value between the minimum torque extension and the minimum anti-slip extension falls within the extension constraint range, it indicates that the anti-slip performance of the A-frame ladder design is qualified.

6. The method for optimizing the stability parameters of the external support of an A-frame ladder according to claim 1, characterized in that, This also includes verifying the effective geometric angle before outputting it.

7. A system for optimizing the stability parameters of the external support of an A-frame ladder, characterized in that, The system for optimizing the stability parameters of an A-frame ladder external support operates on any computing device, such as a desktop computer, a laptop computer, or a cloud data center. The computing device includes a processor, a memory, and a computer program stored in the memory and running on the processor. When the processor executes the computer program, it implements the steps of the method for optimizing the stability parameters of an A-frame ladder external support as described in any one of claims 1 to 6.

8. An electronic device, comprising: At least one processor; and a memory communicatively connected to the at least one processor; The memory stores instructions executable by the at least one processor, characterized in that the instructions are executed by the at least one processor to enable the at least one processor to perform the method according to any one of claims 1 to 6.

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