CN109241666A - A kind of calculating method of stiffness of plate spring assembly, system and readable storage medium storing program for executing - Google Patents
A kind of calculating method of stiffness of plate spring assembly, system and readable storage medium storing program for executing Download PDFInfo
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- CN109241666A CN109241666A CN201811160842.8A CN201811160842A CN109241666A CN 109241666 A CN109241666 A CN 109241666A CN 201811160842 A CN201811160842 A CN 201811160842A CN 109241666 A CN109241666 A CN 109241666A
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- plate spring
- spring assembly
- threedimensional model
- rigidity
- stiffness
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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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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/15—Vehicle, aircraft or watercraft design
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T17/00—Three dimensional [3D] modelling, e.g. data description of 3D objects
Abstract
The invention discloses a kind of calculating method of stiffness of plate spring assembly, system and readable storage medium storing program for executing, method includes the following steps: S1. establishes threedimensional model to plate spring assembly by 3 d modeling software, threedimensional model are carried out to be divided into leaf spring unit;S2. it simulates and applies power vertically downward in one end of plate spring assembly, calculate the force deformation of plate spring assembly;S3. according to the force deformation of plate spring assembly calculate plate spring assembly rigidity.Leaf spring is carried out grid dividing by the present invention, is calculated the deformation of leaf spring by simulation to obtain the rigidity of plate spring assembly, is relatively directlyed adopt section calculated rigidity and substantially increase computational accuracy.
Description
Technical field
The present invention relates to rigidity of plate spring computing technique fields, a kind of calculating method of stiffness more particularly to plate spring assembly and
Readable storage medium storing program for executing.
Background technique
Leaf spring is most widely used a kind of elastic element in automotive suspension, and effect is that vehicle frame and vehicle bridge are hung
Form links together, and bears wheel to the load impacting of vehicle frame, cuts down the high vibration of vehicle body, keep the steady of vehicle driving
Property and adaptability to different road conditions.
The rigidity of leaf spring is important physical parameter, and the rigidity of leaf spring need to be accurately learnt in entrucking, then is needed to leaf spring
Rigidity is calculated.Traditional Rigidity Calculation to plate spring assembly is mostly to be calculated using cross-section single section calculated rigidity
The method of rigidity calculates institute's value multiplied by corresponding coefficient up to the rigidity of entire plate spring assembly.
In practical applications, since plate spring assembly is that multiple leaf springs different in size are composed, every leaf spring itself
The coefficient in rigidity and section is all different, and all leaf springs are considered as same system in the prior art, then is certainly existed larger
Error.
Summary of the invention
An object of the present invention is to provide a kind of calculating method of stiffness of plate spring assembly that can improve computational accuracy.
A kind of calculating method of stiffness of plate spring assembly, comprising the following steps:
S1. threedimensional model is established to plate spring assembly by 3 d modeling software, threedimensional model is carried out to be divided into leaf spring list
Member;
S2. it simulates and applies power vertically downward in one end of plate spring assembly, calculate the force deformation of plate spring assembly;
S3. according to the force deformation of plate spring assembly calculate plate spring assembly rigidity.
Leaf spring is carried out grid dividing by the calculating method of stiffness of the plate spring assembly proposed according to the present invention, is counted by simulation
The deformation of leaf spring is calculated to obtain the rigidity of plate spring assembly, section calculated rigidity is relatively directlyed adopt and substantially increases computational accuracy.
In addition, the calculating method of stiffness of the plate spring assembly provided according to the present invention, can also have following additional technology
Feature:
Further, in the step S1 to establish threedimensional model to plate spring assembly be therefrom partially to be to by plate spring assembly
Two equal portions take a copy of it to establish threedimensional model, then establish threedimensional model to the half of plate spring assembly, reduce calculating process
Complexity.
Further, the division to threedimensional model in the step S1 uses grid dividing, and grid dividing is more traditional
Segmentation divides and improves computational accuracy.
Further, the threedimensional model in the step S1 is in turn divided into l from one end to middle part1、l2……ln, length
Degree relationship is l1≤l2≤……≤ln。
Further, the force deformation of the plate spring assembly in the step S2 is calculate by the following formula:
In formula, f is force deformation, and P is vertical force, and E is the elasticity modulus of plate spring assembly, lnAnd InRespectively three-dimensional mould
The length and the moment of inertia of the leaf spring unit of n-th leaf spring from top to bottom in type.
Further, the calculation formula of the moment of inertia of the leaf spring unit is as follows:
In formula, bnAnd hnThe respectively mean breadth and average thickness of leaf spring unit.
Further, the calculation formula of the rigidity of the plate spring assembly in the step S3 are as follows:
In formula, K is the rigidity of plate spring assembly, and f is force deformation, and P is vertical force.
It is another object of the present invention to the Rigidity Calculation systems for proposing a kind of plate spring assembly that can improve computational accuracy.
A kind of Rigidity Calculation system of plate spring assembly, comprising:
Division module is drawn threedimensional model for establishing threedimensional model to plate spring assembly by 3 d modeling software
It is divided into leaf spring unit;
First computing module applies power vertically downward in one end of plate spring assembly for simulating, calculates plate spring assembly
Force deformation;
Second computing module, for the force deformation according to plate spring assembly calculate plate spring assembly rigidity.
Further, the division module be specifically used for plate spring assembly establish threedimensional model be to by plate spring assembly therefrom
Part is two equal portions, and a copy of it is taken to establish threedimensional model.
The invention also discloses a kind of readable storage medium storing program for executing of calculating method of stiffness using above-mentioned plate spring assembly.
The beneficial effects of the present invention are: leaf spring is carried out grid dividing, the deformation of leaf spring is calculated by simulation to obtain plate
The rigidity of spring assembly relatively directlys adopt section calculated rigidity and substantially increases computational accuracy;Using grid dividing, and from middle part to
The division interval of one end gradually becomes smaller, and improves computational accuracy.
Additional aspect and advantage of the invention will be set forth in part in the description, and will partially become from the following description
Obviously, or practice through the invention is recognized.
Detailed description of the invention
Above-mentioned and/or additional aspect of the invention and advantage will become from the description of the embodiment in conjunction with the following figures
Obviously and it is readily appreciated that, in which:
Fig. 1 is the flow chart of the calculating method of stiffness of the plate spring assembly of the embodiment of the present invention 1;
Fig. 2 is the schematic diagram that threedimensional model and division are established by three-dimensional software ansys 15.0 of the embodiment of the present invention 1;
Fig. 3 is the structural schematic diagram of the Rigidity Calculation system of the plate spring assembly of the embodiment of the present invention 2.
Specific embodiment
To keep objects, features and advantages of the present invention more obvious and easy to understand, with reference to the accompanying drawing to tool of the invention
Body embodiment is described in detail.Several embodiments of the invention are given in attached drawing.But the present invention can be with many not
With form realize, however it is not limited to embodiment described herein.On the contrary, purpose of providing these embodiments is makes to this
The disclosure of invention is more thorough and comprehensive.
It should be noted that it can directly on the other element when element is referred to as " being fixedly arranged on " another element
Or there may also be elements placed in the middle.When an element is considered as " connection " another element, it, which can be, is directly connected to
To another element or it may be simultaneously present centering elements.Term as used herein " vertical ", " horizontal ", " left side ",
" right side ", "upper", "lower" and similar statement for illustrative purposes only, rather than the device or member of indication or suggestion meaning
Part must have a particular orientation, be constructed and operated in a specific orientation, therefore be not considered as limiting the invention.
Embodiment 1
Referring to Fig. 1, the present embodiment proposes a kind of calculating method of stiffness of plate spring assembly, comprising the following steps:
S1. threedimensional model is established to plate spring assembly by 3 d modeling software, threedimensional model is carried out to be divided into leaf spring list
Member;
S2. it simulates and applies power vertically downward in one end of plate spring assembly, calculate the force deformation of plate spring assembly;
S3. according to the force deformation of plate spring assembly calculate plate spring assembly rigidity.
Leaf spring is carried out grid dividing by the calculating method of stiffness of the plate spring assembly proposed according to the present invention, is counted by simulation
The deformation of leaf spring is calculated to obtain the rigidity of plate spring assembly, section calculated rigidity is relatively directlyed adopt and substantially increases computational accuracy.
In the present embodiment, three-dimensional software ansys 15.0 is selected to carry out three-dimensional modeling, while can be soft using the three-dimensional
Part carries out analytical calculation.
Referring to Fig. 2, since plate spring assembly is using middle part as the symmetrical structure of the plane of symmetry, in the present embodiment, preferably
Threedimensional model only is established to the side of plate spring assembly, specifically:
In step S1 to establish threedimensional model to plate spring assembly be to take wherein to being partially therefrom two equal portions by plate spring assembly
Portion establishes threedimensional model, then establishes threedimensional model to the half of plate spring assembly, reduces the complexity of calculating process.
Preferably, the division to threedimensional model in the step S1 use grid dividing, traditional division methods be from
Leaf spring ends are successively divided to middle part, and the more traditional segmentation of grid dividing improves dividing precision, to improve computational accuracy.
Threedimensional model in the step S1 is in turn divided into l from one end to middle part1、l2……ln, length relation l1
≤l2≤……≤ln, then division mode is that division is more and more thinner from the middle part of leaf spring to one end, and the deformation due to being located at one end is wanted
Greater than the deformation at middle part, therefore, carrying out refinement to the division of one end can be improved the precision of calculating.In the present embodiment, length
Use common ratio for 0.9 Geometric Sequence.
The force deformation of plate spring assembly in the step S2 is calculate by the following formula:
In formula, f is force deformation, and P is vertical force, and E is the elasticity modulus of plate spring assembly, lnAnd InRespectively three-dimensional mould
The length and the moment of inertia of the leaf spring unit of n-th leaf spring from top to bottom in type.
The calculation formula of the moment of inertia of the leaf spring unit is as follows:
In formula, bnAnd hnThe respectively mean breadth and average thickness of leaf spring unit.
The calculation formula of the rigidity of plate spring assembly in the step S3 are as follows:
In formula, K is the rigidity of plate spring assembly, and f is force deformation, and P is vertical force.The second embodiment of the present invention proposes
A kind of automobile, the automobile include at least in first embodiment.
For the calculating method of stiffness of the plate spring assembly of the present embodiment, its accuracy is measured.
One group of plate spring assembly is taken, physical detection rigidity of plate spring is 2409N/mm, calculates its rigidity to the plate spring assembly, adopts
With vertical force P=10000N, leaf spring deformation f=4.19mm is calculated to obtain, further calculating rigidity is K=2387N/mm, the calculating
Acquired results differ 21N/mm compared with physical measurements values, if physical detection value is true value, the error of the present embodiment is 0.87%,
Precision is higher.
Reference examples 1
This reference examples and embodiment 1 are almost the same, the difference is that, the segmented mode of this reference examples using it is traditional from
Middle part to one end is successively divided, and does not use mesh segmentation.
Same measurement accuracy, selects plate spring assembly in the same manner as in Example 1, calculates to obtain K=2456N/mm, with physics
Measured value differs 47N/mm, error 1.95%, hence it is evident that greater than the error amount of embodiment 1.
The computational accuracy of plate spring assembly can be then improved using grid dividing when embodiment 1, technical method of the invention relatively passes
The resulting rigidity value error of the calculation method of system is smaller.
Reference examples 2
This reference examples and embodiment 1 are almost the same, the difference is that, the segmented mode of this reference examples is using uniform point
It cuts.
Same measurement accuracy, selects plate spring assembly in the same manner as in Example 1, calculates to obtain K=2257N/mm, with physics
Measured value differs 152N/mm, error 6.31%, much larger than the error amount of embodiment 1.
According to being evenly dividing, i.e., all sites of leaf spring are accordingly to be regarded as to deflection is identical, and in fact leaf spring both ends
The exact requirements for having been unable to meet deformation are divided, then calculating essence can be greatly improved by dilute to close by using to the division of plate spring assembly
Degree.
Embodiment 2
Referring to Fig. 3, the present embodiment proposes a kind of Rigidity Calculation system of plate spring assembly, comprising:
Division module is drawn threedimensional model for establishing threedimensional model to plate spring assembly by 3 d modeling software
It is divided into leaf spring unit;
First computing module applies power vertically downward in one end of plate spring assembly for simulating, calculates plate spring assembly
Force deformation;
Second computing module, for the force deformation according to plate spring assembly calculate plate spring assembly rigidity.
In the present embodiment, the division module is specifically used for establishing plate spring assembly threedimensional model being to by plate spring assembly
Therefrom part is two equal portions, and a copy of it is taken to establish threedimensional model.
Preferably, threedimensional model is carried out grid dividing by division module, and be divided between dividing from the middle part of plate spring assembly to
End gradually becomes smaller, that is, divides more and more thinner, can more carefully improve computational accuracy deform biggish region division.
In the present embodiment, the force deformation of the calculating plate spring assembly in the first computing module uses walks in embodiment 1
The calculation formula of rapid S2, in the second computing module calculate plate spring assembly rigidity using step S3 in embodiment 1 calculating
Formula.
Embodiment 3
Present embodiment discloses a kind of readable storage medium storing program for executing, realize when which is executed by processor as described in Example 1
Method.
In the description of this specification, reference term " one embodiment ", " some embodiments ", " example ", " specifically show
The description of example " or " some examples " etc. means specific features, structure, material or spy described in conjunction with this embodiment or example
Point is included at least one embodiment or example of the invention.In the present specification, schematic expression of the above terms are not
Centainly refer to identical embodiment or example.Moreover, particular features, structures, materials, or characteristics described can be any
One or more embodiment or examples in can be combined in any suitable manner.
The embodiments described above only express several embodiments of the present invention, and the description thereof is more specific and detailed, but simultaneously
Limitations on the scope of the patent of the present invention therefore cannot be interpreted as.It should be pointed out that for those of ordinary skill in the art
For, without departing from the inventive concept of the premise, various modifications and improvements can be made, these belong to guarantor of the invention
Protect range.Therefore, the scope of protection of the patent of the invention shall be subject to the appended claims.
Claims (10)
1. a kind of calculating method of stiffness of plate spring assembly, which comprises the following steps:
Threedimensional model is established to plate spring assembly by 3 d modeling software, threedimensional model is carried out to be divided into leaf spring unit;
It simulates and applies power vertically downward in one end of plate spring assembly, calculate the force deformation of plate spring assembly;
According to the force deformation of plate spring assembly calculate plate spring assembly rigidity.
2. the calculating method of stiffness of plate spring assembly according to claim 1, which is characterized in that described soft by three-dimensional modeling
Part establishes threedimensional model to plate spring assembly, and threedimensional model was carried out in the step of being divided into leaf spring unit, establishes to plate spring assembly
Threedimensional model is to take a copy of it to establish threedimensional model to being partially therefrom two equal portions by plate spring assembly.
3. the calculating method of stiffness of plate spring assembly according to claim 1, which is characterized in that described soft by three-dimensional modeling
Part establishes threedimensional model to plate spring assembly, and threedimensional model draw in the step of being divided into leaf spring unit to threedimensional model
Divide and uses grid dividing.
4. the calculating method of stiffness of plate spring assembly according to claim 1, which is characterized in that described soft by three-dimensional modeling
Part establishes threedimensional model to plate spring assembly, and threedimensional model was carried out in the step of being divided into leaf spring unit, and threedimensional model is from one end
L is in turn divided into middle part1、l2……ln, length relation l1≤l2≤……≤ln。
5. the calculating method of stiffness of plate spring assembly according to claim 4, which is characterized in that the simulation is in plate spring assembly
One end the step of applying power vertically downward, calculating the force deformation of plate spring assembly in, the force deformation of plate spring assembly
It is calculate by the following formula:
In formula, f is force deformation, and P is vertical force, and E is the elasticity modulus of plate spring assembly, lnAnd InRespectively in threedimensional model
The length and the moment of inertia of the leaf spring unit of n-th leaf spring from top to bottom.
6. the calculating method of stiffness of plate spring assembly according to claim 5, which is characterized in that the inertia of the leaf spring unit
The calculation formula of square is as follows:
In formula, bnAnd hnThe respectively mean breadth and average thickness of leaf spring unit.
7. the calculating method of stiffness of plate spring assembly according to claim 1, which is characterized in that described according to plate spring assembly
Force deformation calculate the rigidity of plate spring assembly the step of in, the calculation formula of the rigidity of plate spring assembly are as follows:
In formula, K is the rigidity of plate spring assembly, and f is force deformation, and P is vertical force.
8. a kind of Rigidity Calculation system of plate spring assembly characterized by comprising
Threedimensional model is divided by division module for establishing threedimensional model to plate spring assembly by 3 d modeling software
Leaf spring unit;
First computing module applies power vertically downward in one end of plate spring assembly for simulating, calculates the stress of plate spring assembly
Deflection;
Second computing module, for the force deformation according to plate spring assembly calculate plate spring assembly rigidity.
9. the Rigidity Calculation system of plate spring assembly according to claim 8, which is characterized in that the division module is specifically used
It is to take a copy of it to establish three-dimensional mould to being therefrom partially two equal portions by plate spring assembly in establishing threedimensional model to plate spring assembly
Type.
10. a kind of readable storage medium storing program for executing, which is characterized in that realized when the program is executed by processor as claim 1-7 is any
Method described in one.
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CN101866378A (en) * | 2010-04-28 | 2010-10-20 | 淮阴工学院 | Method for solving rigidity of plate spring by using automatic dynamic analysis of mechanical system (ADAMS) |
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