CN106528995A - Reliability design method for cylindrical spiral pull-press spring - Google Patents

Reliability design method for cylindrical spiral pull-press spring Download PDF

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Publication number
CN106528995A
CN106528995A CN201610957486.7A CN201610957486A CN106528995A CN 106528995 A CN106528995 A CN 106528995A CN 201610957486 A CN201610957486 A CN 201610957486A CN 106528995 A CN106528995 A CN 106528995A
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Prior art keywords
spring
reliability
formula
design
dtri
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CN201610957486.7A
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Chinese (zh)
Inventor
莫文辉
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Hubei University of Automotive Technology
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Hubei University of Automotive Technology
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Priority to CN201610957486.7A priority Critical patent/CN106528995A/en
Publication of CN106528995A publication Critical patent/CN106528995A/en
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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
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/10—Geometric CAD
    • G06F30/17—Mechanical parametric or variational design

Abstract

The invention provides a reliability design method for a cylindrical spiral pull-press spring. The method is a reliability calculation-based HL-RF method. According to the core scheme, spring material performance parameters, a geometric size and a received load are regarded as normal random variables; a reliability R calculation optimization mathematic model is built; an optimization problem can be solved by using an iterative formula; and a computer calculation program is written for calculating a reliability R value. According to the reliability design method for the spring, a designer is enabled to understand a probability of failure; and the designed spring is lighter than a spring designed with a safety coefficient method, so that raw materials are saved, the product quality is improved, and a product is more competitive.

Description

The reliability design approach of cylindrical screw drawing-pressing spring
Technical field
The present invention proposes the reliability design approach of cylindrical screw drawing-pressing spring, is the HL-RF side based on reliability calculating Method, belongs to Machine Design, machine reliability design, mechanical modern Design field.
Background technology
Spring can produce larger elastic deformation under external force, be widely used as flexible member in plant equipment. Controlling organization motion or the position of part；Such as cam mechanism, clutch, valve etc..Buffering absorbing；Such as truck spring and various slow The spring rushed in device.Storage energy；Such as the spring in horological instruments.The size of measurement power；Such as the spring in spring scale.
Machine reliability design is some variables in conventional design, such as load, the intensity of material, the dimensioning of parts It is very little etc., all as stochastic variable process, the data of institute's foundation are designed from test or are put into practice, and statistical analysis, it is considered to The impact of working conditions change and various enchancement factors.The design that method of safety coefficients in Machine Design is carried out scientifically can not consider The possibility of failure, it is impossible to objectively reflect the truth of product design and operation, the product designed " stupid big black thick ".Machine Tool reliability design can answer product failure probability in use, the product designed " small and exquisite ", by designer Pay much attention to.The reliability design approach of cylindrical screw drawing-pressing spring has Stress-Strength Interference Model method and Monte Carlo Method.By foreign scholar, the HL-RF methods of reliability calculating propose that the country has been used for Reliability design of gears.
At present, the domestic HL-RF methods for reliability calculating also do not occur are applied to the reliability of cylindrical screw drawing-pressing spring Design.
The content of the invention
The present invention proposes the reliability design approach of cylindrical screw drawing-pressing spring, is the HL-RF side based on reliability calculating Method, the spring ratio method of safety coefficients designed want light weight, save raw material, improve product quality.
The technical solution used in the present invention is：The reliability design approach of cylindrical screw drawing-pressing spring, concretely comprises the following steps：
(1) optimized mathematical model of reliability R is set up, can be with solving-optimizing problem, the local derviation in formula with iterative formula Number is using exact method or adopts numerical method, specific as follows：
(1.1) material property parameter of spring, physical dimension, the load being subject to are looked at normal random variable, in standard In normal state coordinate system, the n-dimensional space surface equation of limiting condition is obtained first, it is most short from the origin of coordinates to limit state surface Distance is exactly safety index β value；
(1.2) Mathematical Modeling of safety index β is asked to be with optimization method：
Design variable is：
Object function is：
Constraints is：
Following iterative formula, can solve above-mentioned optimization problem：
For gradient；
Reliability R=Φ (β)；
(1.3) using the computing formula of traditional spring combined stress, obtaining limit state equation is：
Wherein, [τ] is allowable stress or intensity；Curvature correction factors of the K for spring；C for curl up than or spring index；F is axle Xiang Li；D is spring silk diameter；
Using the HL-RF methods of reliability calculating, bullet is obtained by the formula of above-mentioned iterative formula, reliability R=Φ (β) The reliability of spring.
Beneficial effect：The present invention is made by setting up the optimized mathematical model for seeking reliability R, can be solved with iterative formula excellent Change problem, and using the HL-RF methods of reliability calculating, reliability R value is tried to achieve, the spring ratio method of safety coefficients designed will Light weight, saves raw material, improves product quality, makes product more competitive.
Description of the drawings
Fig. 1 is the flow chart of the reliability design HL-RF methods of cylindrical screw drawing-pressing spring.
Specific embodiment
By herein below, the present invention is described in further detail.
The reliability design approach of cylindrical screw drawing-pressing spring, concretely comprises the following steps：
(1) physical dimension of cylindrical screw drawing-pressing spring, material are determined according to traditional intensity durability analysis method design Type, the load being subject to；
(2) optimized mathematical model of reliability R is set up, can be with solving-optimizing problem, the local derviation in formula with iterative formula Number is using exact method or adopts numerical method, specific as follows：
(2.1) material property parameter of the spring obtained by step (1), physical dimension, the load being subject to are looked at normal state Stochastic variable, in standard normal coordinate system, obtains the n-dimensional space surface equation of limiting condition first：
If limit state equation contains n separate normal random variable X1,X2,…,Xn, then limit state equation For
Z=g (X1,X2,…,Xn)=0；
To normal variate Xi(standard normal conversion, order n) are made in i=1,2 ...
For average,For variance.
Then, in standard normal coordinate system, the n-dimensional space surface equation of limiting condition is：
Beeline from the origin of coordinates to limit state surface is exactly safety index β value；
Reliability R=Φ (β)；
(2.2) Mathematical Modeling of safety index β is asked to be with optimization method：
Design variable is：
Object function is：
Constraints is：
Following iterative formula, can solve above-mentioned optimization problem：
For gradient；
Reliability R=Φ (β)；
(2.3) using the computing formula of traditional spring combined stress, obtaining limit state equation is：
The computing formula of spring combined stress is：
Curvature correction factors of the K for spring；C for curl up than or spring index；F is axial force；D is that spring silk is straight Footpath；
Limit state equation is：
Wherein, [τ] is allowable stress or intensity；Using the HL-RF methods of reliability calculating, by above-mentioned iterative formula, The formula of reliability R=Φ (β) obtains the reliability of spring.
Computational methods in the present invention write the realization of computer calculation procedure, and operation computer calculation procedure is obtained can By spending R values；Fig. 1 is the flow chart of reliability design HL-RF methods.
The spring ratio method of safety coefficients that the present invention is designed wants light weight, saves raw material, improves product quality, Make product more competitive.

Claims (1)

1. the reliability design approach of cylindrical screw drawing-pressing spring, concretely comprises the following steps：
(1) according to traditional intensity durability analysis method design determine the physical dimension of cylindrical screw drawing-pressing spring, material type, The load being subject to；
(2) optimized mathematical model of reliability R is set up, can be adopted with solving-optimizing problem, the partial derivative in formula with iterative formula With exact method or numerical method is adopted, it is specific as follows：
(2.1) material property parameter of the spring obtained by step (1), physical dimension, that the load being subject to is looked at normal state is random Variable, in standard normal coordinate system, obtains the n-dimensional space surface equation of limiting condition, first from the origin of coordinates to limit shape The beeline of state curved surface is exactly safety index β value；
(2.2) Mathematical Modeling of safety index β is asked to be with optimization method：
Design variable is：
Object function is：
Constraints is：
Following iterative formula, can solve above-mentioned optimization problem：
X k + 1 = 1 | ▿ g ( X k ) | 2 [ ▿ g ( X k ) X k - g ( X k ) ] ▿ g ( X k ) T ,
▽g(Xk) for gradient；
Reliability R=Φ (β)；
(2.3) using the computing formula of traditional spring combined stress, obtaining limit state equation is：
g 1 ( x ) = [ τ ] - K 8 F C πd 2 ,
Wherein, [τ] is allowable stress or intensity；Curvature correction factors of the K for spring；C for curl up than or spring index；F is axial force； D is spring silk diameter；
Using the HL-RF methods of reliability calculating, spring is obtained by the formula of above-mentioned iterative formula, reliability R=Φ (β) Reliability.
CN201610957486.7A 2016-10-27 2016-10-27 Reliability design method for cylindrical spiral pull-press spring Pending CN106528995A (en)

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Application Number Priority Date Filing Date Title
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Application Number Priority Date Filing Date Title
CN201610957486.7A CN106528995A (en) 2016-10-27 2016-10-27 Reliability design method for cylindrical spiral pull-press spring

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CN106528995A true CN106528995A (en) 2017-03-22

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN107563005A (en) * 2017-08-04 2018-01-09 大连理工大学 A kind of tension and compression different-stiffness Instantaneous method for optimally controlling

Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101571467A (en) * 2008-04-30 2009-11-04 中国科学院金属研究所 Test system and test method for dynamic bending fatigue property of thin film material
CN102109410A (en) * 2011-01-26 2011-06-29 重庆大学 Method for measuring motion state of any mass point of cylinder spiral spring under impact load

Patent Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101571467A (en) * 2008-04-30 2009-11-04 中国科学院金属研究所 Test system and test method for dynamic bending fatigue property of thin film material
CN102109410A (en) * 2011-01-26 2011-06-29 重庆大学 Method for measuring motion state of any mass point of cylinder spiral spring under impact load

Non-Patent Citations (3)

* Cited by examiner, † Cited by third party
Title
G.A. PERIÇARO.ETC: ""HLRF–BFGS optimization algorithm for structural reliability"", 《APPLIED MATHEMATICAL MODELLING》 *
姚云: ""圆柱拉压螺旋弹簧的可靠性设计"", 《北京服装学院学报》 *
莫文辉: ""齿轮可靠度计算的HL-RF方法"", 《十堰职业技术学院学报》 *

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN107563005A (en) * 2017-08-04 2018-01-09 大连理工大学 A kind of tension and compression different-stiffness Instantaneous method for optimally controlling
CN107563005B (en) * 2017-08-04 2019-11-26 大连理工大学 A kind of tension and compression different-stiffness Instantaneous method for optimally controlling

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Application publication date: 20170322