CN113343473A - Type selection method for two-rail goods elevator guide rail - Google Patents
Type selection method for two-rail goods elevator guide rail Download PDFInfo
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- CN113343473A CN113343473A CN202110683339.6A CN202110683339A CN113343473A CN 113343473 A CN113343473 A CN 113343473A CN 202110683339 A CN202110683339 A CN 202110683339A CN 113343473 A CN113343473 A CN 113343473A
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B66—HOISTING; LIFTING; HAULING
- B66B—ELEVATORS; ESCALATORS OR MOVING WALKWAYS
- B66B7/00—Other common features of elevators
- B66B7/02—Guideways; Guides
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B66—HOISTING; LIFTING; HAULING
- B66B—ELEVATORS; ESCALATORS OR MOVING WALKWAYS
- B66B7/00—Other common features of elevators
- B66B7/02—Guideways; Guides
- B66B7/04—Riding means, e.g. Shoes, Rollers, between car and guiding means, e.g. rails, ropes
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
- G06F2119/14—Force analysis or force optimisation, e.g. static or dynamic forces
Abstract
The invention discloses a type selection method for a two-rail goods elevator guide rail, which comprises the following steps: (1) establishing a guide rail car model, and enabling the allowable deformation angle [ theta ] of the guide rail]As an optimization criterion for the guide rail; (2) calculate the overturning moment M of the two-rail cargo liftc(ii) a (3) Calculating stress F on the guide shoes of the two guide rails; (4) calculating the deformation displacement omega of two stress points on the guide rail1And ω2(ii) a (5) Obtaining a deformation overturning angle theta of the guide rail; (6) obtaining the inertia moment I of the cross section of the guide rail and the allowable deformation angle [ theta ]]The relationship of (1); (7) and selecting a proper guide rail model according to the inertia moment range of the section of the guide rail to complete the guide rail model selection of the two-rail goods elevator. The model selection method of the invention introduces the allowable deformation angle of the guide rail and takes the allowable deformation angle as a model selection standard meterThe inertia moment range of the section of the guide rail is calculated, so that a model selection scheme of the guide rail is obtained, and the calculation precision is high; and the strength and the rigidity of the guide rail are effectively controlled in an optimal range by adopting a mode of selecting after prior calculation.
Description
Technical Field
The invention relates to a guide rail type selection method, in particular to a type selection method for a two-rail goods elevator guide rail.
Background
Along with the rapid growth of Chinese economy, the urbanization process is accelerated continuously, the number of building projects is increased gradually, and the use frequency of elevators is increased. For the service environments of different elevators, the deformation and strength performance of the required elevator guide rails are greatly different, so the type selection of the elevator guide rails is particularly critical, the installation quality and the service life of the elevator are influenced, and the comfort and the safety of the operation of elevator equipment are influenced.
In the prior art, the type selection of the two-rail goods elevator guide rail is mainly based on the strength of the guide rail and the experience of professional personnel, so that the method has great limitation, and can cause the problems of material redundancy, overhigh cost and the like; meanwhile, the calculation process required in the model selection process is particularly complex, the model of the guide rail is preselected firstly, and then the checking calculation is carried out, so that the calculation accuracy of the model selection mode is poor, and the strength and the rigidity of the guide rail cannot be effectively controlled in the optimal range.
Disclosure of Invention
The invention aims to overcome the defects of the prior art and provides the type selection method of the two-rail goods elevator guide rail, which can optimize the type selection range of the guide rail with high quality, improve the precision and is beneficial to obtaining a proper guide rail type selection scheme.
The purpose of the invention is realized by the following technical scheme:
a type selection method for a guide rail of a two-rail goods elevator is characterized by comprising the following steps:
(1) establishing a guide rail car model, acquiring basic parameters of the guide rail car, and taking the allowable deformation angle [ theta ] of the guide rail as the optimization standard of the guide rail;
(2) according to the basic parameters obtained in the step (1), calculating the overturning moment M of the two-rail cargo lift by the following formulac,
Mc=Qge
Q is the rated load capacity of the lift car, e is the offset of the center of gravity of the lift car relative to the suspension center, and g is the gravity acceleration;
(3) the stress F on the guide shoes of the two guide rails is calculated by the following formula,
wherein h is the distance between the guide shoes of the two guide rails;
(4) simplifying a guide rail car model, and calculating the deformation displacement omega of two stress points on the guide rail according to the approximate differential equation of the simply supported beam deflection line of the mechanics of materials and the superposition principle of bending deformation1And ω2The concrete formula is as follows:
wherein E is the elastic modulus of the guide rail, I is the moment of inertia of the selected guide rail, and l is the distance between the two supports of the guide rail;
(5) substituting the parameters in the step (3) and the step (4) according to the deformation coordination relation of the guide rail car to obtain a deformation overturning angle theta of the guide rail,
(6) satisfying the inequality requirement that the overturning angle theta of the guide rail is less than or equal to the allowable deformation angle of the guide rail according to the requirement, namely theta is less than or equal to theta, and obtaining the relation between the inertia moment I of the section of the guide rail and the allowable deformation angle theta as follows:
(7) substituting the allowable deformation angle of the guide rail into the relation formula in the step (6) by taking the allowable deformation angle of the guide rail as an optimization standard, thereby obtaining the range of the inertia moment of the section of the guide rail; and selecting a proper guide rail model according to the inertia moment range of the section of the guide rail to complete the guide rail model selection of the two-rail goods elevator.
According to a preferable scheme of the invention, a selection function f (n) is constructed by using a numerical calculation method according to evaluation indexes of the types of the two-rail freight elevator guide rails, the interpolation function relation of the inertia moment among various guide rail types in the inertia moment range of the section of the guide rail in the step (7) is analyzed, and the type selection range of the guide rail is further optimized.
Preferably, the evaluation index includes whether the section inertia moment I of the guide rail is the preferred size, the margin range of the section inertia moment I of the guide rail and the inertia moment of the adjacent guide rail model, and the manufacturing process of the guide rail.
Preferably, the step of obtaining the most suitable guide rail model by selecting the function f (n) is as follows:
(1) constructing a selection function f (n), specifically as follows:
f(n)=fs+fa+fp
wherein f issA dimension selection function representing a relationship between a currently calculated guide rail section moment of inertia and a dimension of an adjacent guide rail model, wherein the dimension selection function ensures that the selected guide rail is the preferred dimension, and is defined as:
fs=aXi+b
in the formula, XiFor the solution of the section moment of inertia I of the guide rail obtained at present, parameters a and b can be qualitatively determined according to the importance degree of an operator on whether the type of the guide rail is preferred or not;
fadescribing the distance relationship between the moment of inertia of the candidate guide rail section and the actual moment of inertia of the adjacent guide rail for a margin selection function, wherein the margin selection function has the function of limiting the range of the moment of inertia of the guide rail section and ensuring that the guide rail type selection falls in the most appropriate range, and is defined as follows:
in the formula, XiFor the current solution obtained, Δ X represents the current solution and the model of the adjacent railThe parameter S can be determined according to the relative importance degree of the margin range to the guide rail model selection;
fpthe function is selected for the manufacturing process, represents the manufacturing process of cold drawing or machining the guide rail, and ensures that the machining error of the guide rail is in a valid range, and the relation is as follows:
wherein X is the solution X with the current solutioniThe moment of inertia of adjacent rail models;
(2) determination of the weight of the evaluation index for the size selection function fsMargin selection function faAnd a manufacturing process selection function fpRespectively given weight factors mu1、μ2、μ3;
(3) Substituting the selection function endowed with the weight factor into the inertia moment of each guide rail model pair for calculation, and comparing the satisfaction degrees f (n) of the inertia moment, wherein the maximum value is the most suitable guide rail model; wherein, the selection function after the weighting factor is given is as follows:
f(n)=μ1fs+μ2fa+μ3fp
preferably, when the weight of the evaluation index is determined, the importance degree judgment value of the i-th evaluation index is defined as aiObtaining index judgment values by a scaling method, dividing the importance degree of the evaluation index into a plurality of grades, and measuring the judgment values by integers;
analyzing and comparing evaluation indexes of two-rail goods elevator guide rail model selection through an analytic hierarchy process to obtain a size selection function fsMargin selection function faAnd a manufacturing process selection function fpBy a weight factor mu1、μ2、μ3The relative importance degree judgment value among the three is normalized to obtain the weight of each evaluation index, and the specific formula is as follows:
in the formula aiIs an importance level judgment value.
Preferably, a 1-9 scale method is adopted to obtain index judgment values, the importance degree of the evaluation index is divided into 5 grades, and the judgment values are measured by integers of 1-9.
Compared with the prior art, the invention has the following beneficial effects:
1. the model selection method of the invention calculates the range of the inertia moment of the section of the guide rail by introducing the allowable deformation angle of the guide rail and taking the allowable deformation angle as the model selection standard, thereby obtaining the model selection scheme of the guide rail, and the calculation precision is high; the strength and the rigidity of the guide rail are effectively controlled in the optimal range by adopting a mode of selecting after prior calculation; the calculation process is simplified, and the problems of material redundancy, high cost and the like are effectively solved.
2. The method optimizes the guide rail model selection method, utilizes the deformation coordination relation and the force balance relation of the elevator car guide rail system to control the overturning angle of the guide rail in the running process, takes the allowable deformation angle of the guide rail deformation as the optimization standard, and calculates the relation between the inertia moment of the section of the guide rail and the allowable deformation angle of the guide rail according to the requirement of the overturning corner of the deformation inequality, thereby obtaining the corresponding inertia moment range to select the proper guide rail model.
Drawings
Fig. 1 is a schematic flow chart diagram of a two-rail goods elevator guide rail type selection method of the invention.
Fig. 2 is a schematic diagram of a two-rail freight elevator guide rail car model.
FIG. 3 is a force diagram of the model selection method of the present invention.
Fig. 4 is a schematic diagram of a modification of the guide rail.
Fig. 5 is a schematic view of a partial deformation of the guide rail.
Detailed Description
The present invention will be further described with reference to the following examples and drawings, but the embodiments of the present invention are not limited thereto.
Referring to fig. 1-5, the method for selecting a type of a two-rail freight elevator guide rail of the embodiment includes the following steps:
(1) establishing a guide rail car model, acquiring basic parameters of the guide rail car (including a rated load capacity Q of the car, an offset e of the center of gravity of the car relative to a suspension center, a distance l between two brackets of the guide rail, a distance h between guide shoes of the two guide rails and the like), and taking an allowable deformation angle [ theta ] of the guide rail as an optimization standard of the guide rail, as shown in FIG. 2.
(2) When the lift car runs under various working conditions, because the center of gravity of the lift car and the suspension center have an offset e, the goods lift can generate an overturning moment at the moment, as shown in figure 3, and therefore the overturning moment M of the two-rail goods lift is calculated through the following formula according to the acquired basic parametersc,
Mc=Qge
Wherein Q is the rated load capacity of the car, e is the offset of the center of gravity of the car relative to the suspension center, and g is the acceleration of gravity.
(3) According to the force balance relation of the guide rails, the moment generated by the force applied to the guide rails and the overturning moment generated by the elevator car of the goods elevator are in a balanced state, the stress F on the guide shoes of the two guide rails is calculated by the following formula,
wherein h is the distance between the guide shoes of the two guide rails.
(4) Simplifying a guide rail car model, and obtaining A, B two-point deformation displacement omega on the guide rail according to the approximate differential equation of the simply supported beam deflection line of the mechanics of materials and the superposition principle of bending deformation1And ω2(ii) a When the concentrated force F is applied to the guide shoe point, the maximum deflection deformation displacement occurs at about the trisection of the guide rail, as shown in FIG. 4, so the deformation displacement omega of the two stress points on the guide rail1And ω2The calculation formula of (a) is as follows:
wherein E is the elastic modulus of the guide rail, I is the moment of inertia of the selected guide rail, and l is the distance between the two supports of the guide rail.
(5) As shown in fig. 5, the deformation amount of A, B points is small, A 'and B' respectively represent the positions of the guide rail after the guide rail is deformed by force, the deformation overturning angle theta of the guide rail is obtained by substituting the parameters in the step (3) and the step (4) according to the deformation coordination relation of the guide rail car,
(6) combining the calculation results of the above formula, satisfying the inequality requirement that the overturning angle theta of the guide rail should be less than or equal to the allowable deformation angle of the guide rail as required, namely theta is less than or equal to [ theta ], and obtaining the relationship between the inertia moment I of the section of the guide rail and the allowable deformation angle [ theta ] as follows:
(7) substituting the allowable deformation angle of the guide rail into the relation formula in the step (6) by taking the allowable deformation angle of the guide rail as an optimization standard, thereby obtaining the range of the inertia moment of the section of the guide rail; according to the range of the moment of inertia of the cross section of the guide rail, an interpolation method is adopted to optimize and select a proper guide rail model, the model selection of the guide rail of the two-rail freight elevator is completed, the model can be selected in the GBT22562-2008 elevator T-type guide rail standard, and the technical characteristics of part of the guide rails are shown in the following table.
GBT22562.2008
In order to further optimize the guide rail model selection range, a selection function f (n) is constructed by using a numerical calculation method according to the evaluation indexes of the two-rail freight elevator guide rail models, and the interpolation function relation of the inertia moment among various guide rail models in the inertia moment range of the guide rail section in the step (7) is analyzed. The evaluation indexes comprise the preferred size, the margin range of the section moment of inertia I of the guide rail and the moment of inertia of the adjacent guide rail model, and the manufacturing process of the guide rail. In the embodiment, factors influencing the model selection of the guide rail are used as evaluation indexes, a selection function and a weight factor are constructed, the range of the guide rail is closer to the theoretical solution of the guide rail when the allowable deformation angle of the guide rail is limited, and the high-quality model selection range of the guide rail can be robustly obtained.
Further, the process of optimizing the rail model selection range is as follows:
(1) constructing a selection function f (n), specifically as follows:
f(n)=fs+fa+fp
wherein f issA dimension selection function representing a relationship between a currently calculated guide rail section moment of inertia and a dimension in a range of nearby guide rail models, the dimension selection function ensuring that the selected guide rail is the preferred dimension, the dimension selection function being defined as:
fs=aXi+b
in the formula, XiFor the solution of the section moment of inertia I of the guide rail obtained at present, parameters a and b can be qualitatively determined according to the importance degree of an operator on whether the type of the guide rail is preferred or not;
fadescribing the distance relationship between the moment of inertia of the candidate guide rail section and the actual moment of inertia of the adjacent guide rail for a margin selection function, wherein the margin selection function has the function of limiting the range of the moment of inertia of the guide rail section and ensuring that the guide rail type selection falls in the most appropriate range, and is defined as follows:
in the formula, XiIs the current positionThe obtained solution, delta X represents the absolute value of the difference between the current solution and the inertia moment of the model of the adjacent guide rail, and the parameter S can be determined according to the relative importance degree of the margin range to the model selection of the guide rail;
fpthe function is selected for the manufacturing process, represents the manufacturing process of cold drawing or machining the guide rail, and ensures that the machining error of the guide rail is in a valid range, and the relation is as follows:
wherein X is the solution X with the current solutioniThe moment of inertia of adjacent rail models;
(2) and determining the weight of the evaluation index. In order to express the influence degree of different selection functions on the type selection search result, a linear weighted combination method is adopted to select the function f for the sizesMargin selection function faAnd a manufacturing process selection function fpRespectively given weight factors mu1、μ2、μ3. Defining the importance degree judgment value of the ith evaluation index as aiIndex judgment values are obtained by a 1-9 scaling method, the importance degree of the evaluation index is divided into 5 grades, the judgment value is measured by an integer of 1-9, the table of the relative importance degree of the evaluation index is shown as follows,
qualitative information | Scale |
Of equal importance | 1 |
Of slight importance | 3 |
Of obvious importance | 5 |
Is very important | 7 |
Of absolute importance | 9 |
Intermediate between adjacent decisions | 2,4,6,8 |
Analyzing and comparing evaluation indexes of two-rail goods elevator guide rail model selection through an analytic hierarchy process to obtain a size selection function fsMargin selection function faAnd a manufacturing process selection function fpBy a weight factor mu1、μ2、μ3The relative importance degree judgment value among the three is normalized to obtain the weight of each evaluation index, and the specific formula is as follows:
in the formula aiIs an importance level judgment value.
(3) Calculating the inertia moment of each guide rail model pair according to a selection function given to a weight factor, and comparing the satisfaction degrees f (n), wherein the maximum value is the most suitable guide rail model; wherein, the selection function after the weighting factor is given is as follows:
f(n)=μ1fs+μ2fa+μ3fp
the model selection method of the two-rail goods elevator guide rail of the embodiment utilizes the deformation coordination relation and the force balance relation of the elevator car guide rail system to control the overturning angle of the guide rail in the running process, takes the allowable deformation angle of the guide rail deformation as the optimization standard, and calculates the relation between the overturning angle of the guide rail and the inertia moment of the guide rail section according to the requirement of the overturning angle of the deformation inequality theta less than or equal to theta, thereby obtaining the corresponding inertia moment range to select the proper guide rail model. Meanwhile, the allowable deformation angle [ theta ] of the guide rail is introduced from the deformation coordination relationship of the guide rail, so that the relationship between the section inertia moment of the guide rail and the allowable deformation angle is further obtained, the preselection of the guide rail is avoided, and the calculation process of the guide rail is simplified.
Further, in the embodiment, an interpolation relation of moments of inertia among various models is obtained by using a numerical method, a selection function f (n) is constructed, a weight factor is introduced, a linear weight combination satisfaction method is provided to solve the problems of first choice and non-first choice in the guide rail models, which manufacturing process is used and the like, the selection range of the guide rail model selection is optimized in high quality, the precision is effectively improved, so that a proper guide rail model selection scheme is finally selected, the strength and the rigidity of the guide rail are controlled within the most proper range, and the problems of material redundancy, overhigh cost and the like are effectively solved.
The present invention is not limited to the above embodiments, and any other changes, modifications, substitutions, combinations, and simplifications which do not depart from the spirit and principle of the present invention should be construed as equivalents and are included in the scope of the present invention.
Claims (6)
1. A type selection method for a guide rail of a two-rail goods elevator is characterized by comprising the following steps:
(1) establishing a guide rail car model, acquiring basic parameters of the guide rail car, and taking the allowable deformation angle [ theta ] of the guide rail as the optimization standard of the guide rail;
(2) according to the basic parameters obtained in the step (1), calculating the overturning moment M of the two-rail cargo lift by the following formulac,
Mc=Qge
Q is the rated load capacity of the lift car, e is the offset of the center of gravity of the lift car relative to the suspension center, and g is the gravity acceleration;
(3) the stress F on the guide shoes of the two guide rails is calculated by the following formula,
wherein h is the distance between the guide shoes of the two guide rails;
(4) simplifying a guide rail car model, and calculating the deformation displacement omega of two stress points on the guide rail according to the approximate differential equation of the simply supported beam deflection line of the mechanics of materials and the superposition principle of bending deformation1And ω2The concrete formula is as follows:
wherein E is the elastic modulus of the guide rail, I is the moment of inertia of the selected guide rail, and l is the distance between the two supports of the guide rail;
(5) substituting the parameters in the step (3) and the step (4) according to the deformation coordination relation of the guide rail car to obtain a deformation overturning angle theta of the guide rail,
(6) satisfying the inequality requirement that the overturning angle theta of the guide rail is less than or equal to the allowable deformation angle of the guide rail according to the requirement, namely theta is less than or equal to theta, and obtaining the relation between the inertia moment I of the section of the guide rail and the allowable deformation angle theta as follows:
(7) substituting the allowable deformation angle of the guide rail into the relation formula in the step (6) by taking the allowable deformation angle of the guide rail as an optimization standard, thereby obtaining the range of the inertia moment of the section of the guide rail; and selecting a proper guide rail model according to the inertia moment range of the section of the guide rail to complete the guide rail model selection of the two-rail goods elevator.
2. The model selection method of the two-rail freight elevator as claimed in claim 1, wherein a selection function f (n) is constructed by using a numerical calculation method according to evaluation indexes of the types of the guide rails of the two-rail freight elevator, and an interpolation function relationship of the moments of inertia among various types of guide rails within the range of the moments of inertia of the cross sections of the guide rails in the step (7) is analyzed, so as to further optimize the model selection range of the guide rails.
3. The model selection method of the two-rail freight elevator as claimed in claim 2, wherein the evaluation index includes whether the evaluation index is a preferred size, a margin range of a section moment of inertia I of the guide rail and a moment of inertia of a model of an adjacent guide rail, and a manufacturing process of the guide rail.
4. A method for model selection of a two-rail freight elevator according to claim 3, characterized in that the step of obtaining the most suitable model of the guide rail by means of the selection function f (n) is as follows:
(1) constructing a selection function f (n), specifically as follows:
f(n)=fs+fa+fp
wherein f issA dimension selection function representing a relationship between a currently calculated guide rail section moment of inertia and a dimension in a range of nearby guide rail models, the dimension selection function ensuring that the selected guide rail is the preferred dimension, the dimension selection function being defined as:
fs=aXi+b
in the formula, XiFor the solution of the section moment of inertia I of the guide rail obtained at present, parameters a and b can be qualitatively determined according to the importance degree of an operator on whether the type of the guide rail is preferred or not;
fafor the margin selection function, the inertia moment point and the candidate guide rail section are describedThe distance relation of the actual moment of inertia points of adjacent guide rails and the function of a margin selection function are used for limiting the range of the section moment of inertia of the guide rails and ensuring that the selection of the guide rails is in the most appropriate range, and the margin selection function is defined as follows:
in the formula, XiFor the current solution obtained, Δ X represents the absolute value of the difference between the current solution and the moment of inertia of the adjacent guide rail model, and the parameter S can be determined according to the relative importance of the margin range to the guide rail model selection;
fpthe function is selected for the manufacturing process, represents the manufacturing process of cold drawing or machining the guide rail, and ensures that the machining error of the guide rail is in a valid range, and the relation is as follows:
wherein X is the solution X with the current solutioniThe moment of inertia of adjacent rail models;
(2) determination of the weight of the evaluation index for the size selection function fsMargin selection function faAnd a manufacturing process selection function fpRespectively given weight factors mu1、μ2、μ3;
(3) Substituting the selection function endowed with the weight factor into the inertia moment of each guide rail model pair for calculation, and comparing the satisfaction degrees f (n) of the inertia moment, wherein the maximum value is the most suitable guide rail model; wherein, the selection function after the weighting factor is given is as follows:
f(n)=μ1fs+μ2fa+μ3fp
5. the model selection method for a two-rail freight elevator according to claim 4, wherein the importance degree of the ith evaluation index is defined when the weight of the evaluation index is determinedA judgment value of aiObtaining index judgment values by a scaling method, dividing the importance degree of the evaluation index into a plurality of grades, and measuring the judgment values by integers;
analyzing and comparing evaluation indexes of two-rail goods elevator guide rail model selection through an analytic hierarchy process to obtain a size selection function fsMargin selection function faAnd a manufacturing process selection function fpBy a weight factor mu1、μ2、μ3The relative importance degree judgment value among the three is normalized to obtain the weight of each evaluation index, and the specific formula is as follows:
in the formula aiJudging a value for the degree of importance;
6. the model selection method of the two-rail freight elevator as claimed in claim 5, wherein the index judgment value is obtained by a 1-9 scale method, the importance degree of the evaluation index is divided into 5 grades, and the judgment value is measured by an integer of 1-9.
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CN115146418A (en) * | 2022-07-30 | 2022-10-04 | 南京维拓科技股份有限公司 | Conveniently guided through-shaft hinge point shaft model selection design method |
CN115146418B (en) * | 2022-07-30 | 2023-08-11 | 南京维拓科技股份有限公司 | Method for conveniently-guided through shaft hinge point shaft selection design |
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Effective date of registration: 20220919 Address after: One of No. 13, Shishan Avenue, Zone C, Shishan Science and Technology Industrial Park, Shishan Town, Nanhai District, Foshan City, Guangdong Province, 528000 (Zhongfu Center) Patentee after: ZHUJIANG FUJI ELEVATOR (CHINA) Co.,Ltd. Address before: 510000 Dongfeng East Road 729, Yuexiu District, Guangzhou City, Guangdong Province Patentee before: GUANGDONG University OF TECHNOLOGY |