CN102392863B - Shock-absorbing spring piece structure for microoscillators and design method thereof - Google Patents

Shock-absorbing spring piece structure for microoscillators and design method thereof Download PDF

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CN102392863B
CN102392863B CN 201110268853 CN201110268853A CN102392863B CN 102392863 B CN102392863 B CN 102392863B CN 201110268853 CN201110268853 CN 201110268853 CN 201110268853 A CN201110268853 A CN 201110268853A CN 102392863 B CN102392863 B CN 102392863B
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shock
variable
absorbing spring
spring piece
arc section
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CN102392863A (en
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杜海涛
丁晓红
王青宏
杨东升
刘炜
侯建云
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University of Shanghai for Science and Technology
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University of Shanghai for Science and Technology
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Abstract

The invention discloses a shock-absorbing spring piece structure for microoscillators and a design method thereof. The shock-absorbing spring piece structure consists of a straight section and a curved section, the section of the shock-absorbing spring piece structure is a rectangular uniform section, and the parameters of the shock-absorbing spring piece structure are as follows: the length of the straight section is 7mm to 9mm, the radian R of the curved section is 165 to 170 degrees, the radius r of the curved section is 7mm to 8mm, and the inclination angle a of the placed shock-absorbingspring piece structure is 36 to 37 degrees. The steps of the design method are as follows: structure setting, modeling, structure parameterization and sensitivity analysis, mathematical model optimization and result optimization and analysis. While the shock-absorbing spring piece structure meets the rigidity of an oscillator, the natural frequency of the structure is decreased as well; and the design method can shorten the development cycle of the product and greatly reduce the cost of sample trial production as well. After the shape is optimized, the natural frequency of the structure is decreased to 14Hz from 23.5Hz, and moreover, the maximum displacement of the structure on a vertical working face does not exceed 3mm.

Description

The shock-absorbing spring chip architecture and method for designing of microoscillator
Technical field
Patent of the present invention is related to a kind of structure and its method for designing, the shock-absorbing spring chip architecture and its method for designing of more particularly to a kind of microoscillator.
Background technology
Microoscillator is harsher to operating environment requirements, is placed on merely in electric cabinet, and judder easily occurs under dynamic excitation, influences the normal work of oscillator.Traditional chip architecture of the spring is formed by two sections of straightways by arc transition, as shown in Fig. 1 and Fig. 2, and when microoscillator is applied, intrinsic frequency is higher, and chip architecture of the spring rigidity is too strong, is easily resonated under high-frequency signal injection.Traditional spring leaf setting structure method is usually that by estimation, analogies of experience, even doing the method tested defines its basic structure with reference to like product, checks whether each performance meets design objective requirement by the method for calculating or testing.Mentality of designing shortage theory analysis and the guidance of result of calculation that the artificial examination that this design repeatedly-trial-manufacture of sample-test-Curve guide impeller-is manufactured experimently again is gathered with analogy, so that design process not only needs to spend more time and cost, and the design obtained still has with a distance from very big from " optimal ".
The content of the invention
The invention aims to overcome the shock-absorbing spring chip architecture shortcoming in existing microoscillator, a kind of high frequency pumping made during oscillator operation not with surrounding is provided to resonate along the generation of vertical operation face direction, ensure again it can in working face steady operation, the shock-absorbing spring piece and its method for designing of rigidity requirement can be met.
To achieve the above object, a kind of shock-absorbing spring piece of microoscillator, is characterized in, the shock-absorbing spring piece is made up of a straightway and arc section, its rectangular cross-section uiform section, the shock-absorbing spring chip architecture parameter length of straigh linelFor 7~9mm, arc section radianRFor 165~170, the arc radius of arc sectionrFor 7~8mm, shock-absorbing spring piece puts inclination angleaFor 36~37
Figure 668376DEST_PATH_IMAGE001
The shock-absorbing spring piece optimum shape structural parameters of microoscillator are:Length of straigh linelFor 8mm, arc section radianRFor 168.7
Figure 866008DEST_PATH_IMAGE001
, arc section radiusrIt is that 7.8mm and shock-absorbing spring piece put inclination angleaFor 36.87
A kind of method for designing of the shock-absorbing spring piece of microoscillator, the method for being characterized in comprises the following steps:(1)Setting structure
Upper straight section in two straightways of original composition spring leaf is designed as arc section, its planform is main by arc section radianR, arc section radiusrDetermine;Bottom straightway is constant;
(2)Modeling
According to the design feature of spring leaf, finite element modeling calculating is carried out with beam beam elements;
(3)Structure parameterization and sensitivity analysis
Fully the construction possible deformed shape of spring leaf, the shape built is parameterized respectively using morph technologies;Then sensitivity analysis is carried out to individual variable, therefrom find out on the significant some configuration variables of spring plate rigidity influence, through analysis, radius, radian and the straight line portion of change spring leaf circular arc portion and the inclination angle of horizontal direction and length are larger to the stiffness effect of spring leaf, therefore define this four parameters as optimization design variable; 
(4)Optimized mathematical model
The Mathematical Modeling of optimization design can be expressed as:
Minimize:     
Figure 930096DEST_PATH_IMAGE002
subject to: dmax<3mm
design variable  : x 1   x 2 、x 3 、x 4 、x 5
In formula:
Figure 641700DEST_PATH_IMAGE002
--- the rigidity of spring leaf,d max --- the maximum displacement of load(ing) point in the Y direction,x 1 For arc section radius shape variable,  x 2 For arc section radian configuration variable,x 3 Pitch angle shaped variable is put for shock-absorbing spring piece,x 4 For length of straigh line variable,x 5 The integrating shape variable of the superposition configuration variable at inclination angle is put for straightway, arc section radius, arc section radian, shock-absorbing spring piece;
(5)Optimum results and analysis
Shape optimum is carried out using CAE software optistruct, optimum shape structure is obtained by shape optimum:Lengthl 0=8mm radiansR =168.7
Figure 444571DEST_PATH_IMAGE001
Radiusr 0=7.8mm and inclination anglea 0=36.87
Figure 583428DEST_PATH_IMAGE001
。 
The beneficial effect of patent of the present invention is:
Shock-absorbing spring chip architecture designed by patent of the present invention simultaneously, can reduce the intrinsic frequency of structure again in the rigidity for meeting oscillator;The construction cycle that the method for designing of invention can reduce product substantially reduces the cost of trial-manufacture of sample again.After shape optimum, structural natural frequencies are reduced to 14Hz by original 23.5Hz, and maximum displacement of the structure on vertical operation face is no more than 3mm.
Brief description of the drawings
Fig. 1 is the single-leaf spring chip architecture schematic diagram of existing vibration insulating system;
Fig. 2 is the chip architecture of the spring schematic diagram of existing vibration insulating system;
Fig. 3 is the single-leaf spring chip architecture schematic diagram of the utility model vibration insulating system;
Fig. 4 is the chip architecture of the spring schematic diagram of the utility model vibration insulating system;
Fig. 5 is length of straigh line variablex 4 Schematic diagram;
Fig. 6 is arc section radius shape variablex 1 Schematic diagram;
Fig. 7 is arc section radian configuration variablex 2 Schematic diagram;
Fig. 8 puts pitch angle shaped variable for shock-absorbing spring piecex 3 Schematic diagram;
Fig. 9 is straightway, radius, radian, the integrating shape variable of the superposition configuration variable at inclination anglex 5 Schematic diagram;
Figure 10 is specific Optimizing Flow block diagram.
Embodiment
Below in conjunction with the accompanying drawings with implementation, by taking shock-absorbing spring chip architecture as an example, patent of the present invention is further described.The present invention is that a straightway above shown in original structure Fig. 1 is designed as into circular arc, as shown in Figure 3.Its planform is main by arc section radianR, radiusrDetermine, another straightway is constant.As shown in Figure 3, the shock-absorbing spring piece of the utility model microoscillator, is characterized in, the shock-absorbing spring piece is made up of a straightway and arc section, length of straigh linelFor 7~9mm, arc section radianRFor 165~170
Figure 166856DEST_PATH_IMAGE001
, the arc radius of arc sectionrFor 7~8mm, shock-absorbing spring piece puts inclination angleaFor 36~37
Figure 603523DEST_PATH_IMAGE001
.Shown in Fig. 2, the vibration insulating system of oscillator is made up of the copper spring leaf 2 and the two parts of pallet 1 in four identical materials and section.Spring leaf lower end is fixed on electric cabinet, and upper end holds up a platform, and oscillator is fixed on platform;Because the quality of spring leaf in itself is relative to pallet quality very little, the main structures shape by single branch spring leaf of rigidity and intrinsic frequency of vibration insulating system.
In order to which vibration insulating system has smaller intrinsic frequency under certain rigidity requirement, the structure of original single branch spring leaf need to be redesigned and optimized, specific method step is as follows:
1st, setting structure
Straightway design above shown in original structure Fig. 1 is changed to arc section, as shown in Figure 3.Its planform is main by arc section radianR, arc section radiusrDetermine;Another straightway is constant.
2nd, model
The geometry of spring leaf is set up in CAD software first, as shown in Figure 5.It is then introduced into CAE software optistruct and carries out grid division.According to the design feature of spring leaf, mesh generation is carried out using one-dimensional unit is beam beam elements, the figure after division is as shown in Figure 3.
3rd, optimization design
As shown in Figure 10, detailed process is as follows for Optimizing Flow figure
(1)The determination of configuration variable
Design the possible deformed shape of spring leaf, the i.e. length of straight line portionl, arc radius sizer, circular arc portion radian sizeR, level inclination sizeaAnd superposition configuration variable, configuration variable when being optimized with this determination spring leaf, as shown in Fig. 5,6,7,8,9.
(2)FEM model is parameterized
The shape built is utilized into morph technologies, i.e., by the distance of mobile finite element node, parameterized to change the radian and radius size of circular arc, level inclination and length, the excursion of each variable:Length of straigh linelFor 5~10mm, arc section radianRFor 50~200, the arc radius of arc sectionrFor 6~10mm, shock-absorbing spring piece puts inclination angleaFor 20~90
Figure 836238DEST_PATH_IMAGE001
(3)FEM calculation
Enclosure material attribute is carried out to the FEM model established, applies boundary condition, then submits being calculated in finite element software optistruct.
(4)Constraint and object function
The Mathematical Modeling of optimization design can be expressed as:
Minimize:     
Figure 906962DEST_PATH_IMAGE004
subject to: dmax<3mm
design variable  : x 1   x 2 、x 3 、x 4 、x 5
In formula:
Figure 147320DEST_PATH_IMAGE004
--- the rigidity of spring leaf,d max --- the maximum displacement of load(ing) point in the Y direction,x 1   x 2 、x 3 、x 4 、x 5 --- configuration variable
(5)Iteration optimizing
Flow(2)Each variable change in given scope, and carry out combination of shapes, often combine and once need progress FEM calculation once, if not reaching the condition of convergence after calculating, change configuration variable, from Combination nova, calculated next time, this process is jumped out until meeting the condition of convergence.
4th, optimum results and analysis
Net shape structure is obtained by shape optimum:Lengthl 0=8mm radiansR =168.7Radiusr 0=7.8mm and inclination anglea 0=36.87
Figure 467759DEST_PATH_IMAGE001
, the shape after optimization is as shown in Figure 3.Same constraint and loading is carried out to the result after optimization, the intrinsic frequency for being computed vibration insulating system is reduced to 14Hz by original 23.5Hz, reduces 40%;And maximum displacement of the structure on vertical operation face is no more than 3mm, it is ensured that required rigidity during arrangement works.
Table 1 optimizes front and rear parameter and compared
Parameter Inclination angle Radian Radius(mm) Load(ing) point maximum displacement(mm) Intrinsic frequency(Hz)
Original shape 37.73
Figure 760201DEST_PATH_IMAGE001
141 5 0.5 23.52
After optimization 36.87 168.7
Figure 900829DEST_PATH_IMAGE001
7.8 1.4 14

Claims (1)

1. a kind of method for designing of the shock-absorbing spring piece of microoscillator, it is characterised in that steps of the method are:(1)Upper straight section in two straightways of original composition spring leaf is designed as arc section by setting structure, and its planform is main by arc section radianR, arc section radiusrDetermine;Bottom straightway is constant;
(2)Modeling
According to the design feature of spring leaf, finite element modeling calculating is carried out with beam beam elements;
(3)Structure parameterization and sensitivity analysis
Design the possible deformed shape of spring leaf, the i.e. length of straight line portionl, arc radiusrThe radian of size, circular arc portionRSize, level inclinationaSize and superposition configuration variable, configuration variable when being optimized with this determination spring leaf, is utilized morph technologies by the shape built, that is, passes through the distance of mobile finite element node, parameterized to change the radian and radius size of circular arc, level inclination and length, the excursion of each variable:Length of straigh linelFor 5~10mm, arc section radianRFor 50~200 °, the arc radius of arc sectionrFor 6~10mm, shock-absorbing spring piece puts inclination angleaFor 20~90 °;
(4)Optimized mathematical model
The Mathematical Modeling of optimization design can be expressed as:
Minimize:     
Figure 201110268853X100001DEST_PATH_IMAGE003
subject to: dmax<3mm
design variable  : x 1   x 2 、x 3 、x 4 、x 5
In formula:
Figure 680135DEST_PATH_IMAGE003
--- the rigidity of spring leaf,d max --- the maximum displacement of load(ing) point in the Y direction,x 1 For arc section radius shape variable,x 2 For arc section radian configuration variable,x 3 Shock-absorbing spring piece puts pitch angle shaped variable,x 4 For length of straigh line variable,x 5 The integrating shape variable of the superposition configuration variable at inclination angle is put for straightway, arc section radius, arc section radian, shock-absorbing spring piece;
(5)Optimum results and analysis
Shape optimum is carried out using CAE software optistruct, optimum shape structure is obtained by shape optimum:Lengthl 0=8mm, radianR =168.7 °, radiusr 0=7.8mm and inclination anglea 0=36.87°。
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Publication number Priority date Publication date Assignee Title
DE2710381A1 (en) * 1977-03-10 1978-09-14 Paul Bick Automatic watering outer pot for flower pots - has optional insert rings for different sized pots
CN201461815U (en) * 2009-07-20 2010-05-12 上海核工碟形弹簧制造有限公司 Six-claw spring
CN202301668U (en) * 2011-09-13 2012-07-04 上海理工大学 Damping spring piece of minitype oscillator

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JPS51146677U (en) * 1975-05-20 1976-11-25
JPS51146677A (en) * 1975-06-10 1976-12-16 Kokoku Gomme Kogyo Kk Vibration damper and vibration damping device

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
DE2710381A1 (en) * 1977-03-10 1978-09-14 Paul Bick Automatic watering outer pot for flower pots - has optional insert rings for different sized pots
CN201461815U (en) * 2009-07-20 2010-05-12 上海核工碟形弹簧制造有限公司 Six-claw spring
CN202301668U (en) * 2011-09-13 2012-07-04 上海理工大学 Damping spring piece of minitype oscillator

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* Cited by examiner, † Cited by third party
Title
周临震等.激振器支承弹簧板的动态优化设计.《机械研究与应用》.2006,第19卷(第1期),第71-72页.
有限元法在减振器建模中的应用;袁长颂;《客车技术与研究》;20070228(第2期);第71-72页 *
激振器支承弹簧板的动态优化设计;周临震等;《机械研究与应用》;20060228;第19卷(第1期);第20-21页 *
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