CN107657073A - A kind of parameter identification method of sandwich composite structure - Google Patents
A kind of parameter identification method of sandwich composite structure Download PDFInfo
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- G01N3/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N3/32—Investigating strength properties of solid materials by application of mechanical stress by applying repeated or pulsating forces
- G01N3/34—Investigating strength properties of solid materials by application of mechanical stress by applying repeated or pulsating forces generated by mechanical means, e.g. hammer blows
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Abstract
The invention discloses a kind of parameter identification method of sandwich composite structure, including：The FEM model of sandwich composite structure is established, is equivalent to the orthotropy homogeneous material FEM model of shell entity hull shape formula；Mode experiment is carried out to sandwich composite structure, obtains the modal frequency and Mode Shape of sandwich composite structure；Using the parameter selection method based on Relative sensitivity analysis, treat corrected parameter and carry out Relative sensitivity analysis and carry out parameter packet, obtain sensitive parameter group；Using the packet-optimized method of multistep, using the modal frequency of sandwich composite structure, sensitive parameter group is optimized, finally gives the parameter of the sandwich composite structure after identification.The form that the present invention is combined using finite element analysis with dynamic test, establishes finite element initial analysis model, while by constructing dynamic characteristic objective optimization function, identify the mechanics parameter of sandwich composite structure.
Description
Technical field
The present invention relates to a kind of packet-optimized recognition methods of multistep, more particularly to a kind of ginseng of sandwich composite structure
Number recognition methods.
Background technology
Sandwich composite panel is laminated plate structure, and top panel uses composite with lower panel, utilizes composite wood
Anti- flexing, high intensity and the stiffness characteristics of material, can make the structure have good load-carrying properties.It is simultaneously stuffed heat insulated in laminboard layer
Material, top panel can be made low with the thermal conductivity of bottom plate again, thermal capacitance is high, and then whole scheme is had good heat-proof quality,
It is widely used in the fields such as mechanical engineering.
Nanocomposite constituents are complicated so that material shows anisotropy on macro-mechanical property.Pass through static trial
Test, the problem of being difficult to obtain the elastic parameter of all directions be present, cause the material parameter of sandwich composite panel to be difficult to
It is accurate to obtain.
It would therefore be highly desirable to solve the above problems.
The content of the invention
Goal of the invention：It effectively can precisely identify that the sandwich with laminate special efficacy is answered it is an object of the invention to provide a kind of
The parameter identification method of condensation material structure.
Technical scheme：To realize object above, the invention discloses a kind of identification of the parameter of sandwich composite structure
Method, comprise the following steps：
Step 1, the sandwich composite structure includes upper and lower panel and the sandwich layer positioned at centre, establishes sandwich
The FEM model of composite structure, sandwich composite structure is equivalent to the Orthotropy of shell-entity-hull shape formula
Property homogeneous material FEM model；
Step 2, mode experiment is carried out to sandwich composite structure, obtains the mode frequency of sandwich composite structure
Rate and Mode Shape；
Step 3, using the parameter selection method based on Relative sensitivity analysis, to the to be repaired of sandwich composite structure
Positive parameter carries out Relative sensitivity analysis and carries out parameter packet, obtains sensitive parameter group；
Step 4, using the packet-optimized method of multistep, using the modal frequency of sandwich composite structure, to sensitive ginseng
Array optimizes, and finally gives the parameter of the sandwich composite structure after identification.
Wherein, the pilot system used in the mode experiment of the step 2 includes impulsive force hammer, acceleration transducer, number
According to Acquisition Instrument, signal analyzer and computer, the correspondence of impulsive force hammer and acceleration transducer the access data collecting instrument connects
Mouthful, the data collecting instrument is connected with signal analyzer and computer successively；The mode experiment comprises the following steps that：
2.1) hammering method is utilized, the dynamic characteristic test under free state is carried out to sandwich composite structure, first
Hammer point arrangement is carried out to sandwich composite structure, and in structure away from one pick-up point of definition at mode stationary point；
2.2) suspension sandwich composite structure becomes free boundary structure, and acceleration transducer is fixed on and picked up
At shaking；
2.3) model analysis parameter is set by signal analyzer；
2.4) with impulsive force hammer, to each hammer point edge, direction applies impulsive force in face in structure, and collection is each
Input signal and output signal of the hammer point when by pulse excitation；
2.5) Modal Parameter Identification is carried out to input signal and output signal with signal analyzer, obtains the frequency of pilot system
Function is rung, the modal frequency and Mode Shape of sandwich composite structure are then obtained by curve matching.
Preferably, Relative sensitivity analysis described in the step 3 comprises the following steps that：
3.1) according to the initial physical specificity analysis of parameter to be modified, initial parameter to be modified is obtained；
3.2) relative sensitivity calculation formula is utilized, sensitivity analysis is carried out to initial parameter to be modified, is obtained relatively clever
Sensitive matrix Sr；By the parameter with same order relative sensitivity point at same group, according to relative sensitive measurement level from height to
Low order carries out sequentially amendment and obtains sensitive parameter group, and wherein relative sensitivity calculation formula is：
F is modal frequency vector in formula, and p is parameter vector to be modified.
Further, the parameter to be modified includes elastic modulus E in the face of upper and lower panel1、E2、G12It is normal with core material
Number C11、C22、C44、C55、C66。
Furthermore the packet-optimized method of multistep, specifically comprises the following steps described in the step 4：
4.1) obtain parameter to be modified according to step 3 to be grouped, i.e., parameter vector p to be modified points are n subset：p1,
p2..., pn；
4.2) objective optimization function is determined：According to the modal frequency test value obtained by step 2, for each rank Modal Test
Frequency, the objective optimization function being defined below：
Wherein feFor experimental modal frequency vector, faFor Analysis Mode frequency vector, the physical meaning of the objective optimization function
It is：In the excursion [p of parameterl, pu] in, find the most optimized parameter and cause experimental modal frequency and Analysis Mode frequency vector
Two Norm minimums of difference, plAnd puThe parameter lower bound set respectively in makeover process according to model and the upper bound；
4.3) Optimal Parameters scope is determined：According to experimental rules and mechanics basic relational expression, obtain treating using perturbation method excellent
Change the excursion [p of parameterl, pu]；
A, i=1, j=1, k=1 are made, selects one group of parameter Pi jAs parameter to be modified, matched and tried according to sensitivity analysis
The mode formation with finite element is tested, is identified using Optimized Iterative algorithm, if meeting convergent requirement, obtains convergent parameterAnd be updated in p, select next group of parameter pi+1As parameter to be modified, it is identified according to step a；Until i=n；
It is unsatisfactory for, makes k=k+1, updatesParameter continue to identify；
B, object function residual errorExamine, if meet required precision, if satisfied, terminating identification process, if being unsatisfactory for
J=j+1, return to step a is made to recalculate.
Further, p in the step 4.3l=0.1~0.01p, pu=5~100p.
Beneficial effect：Compared with prior art, the present invention has following remarkable advantage：The invention provides one kind based on more
The parameter identification method of packet-optimized sandwich composite structure is walked, is combined using finite element analysis with dynamic test
Form, establish the finite element initial analysis model of sandwich composite structure, while by constructing dynamic characteristic target
Majorized function, the mechanics parameter of sandwich composite structure is identified, there is highly important engineering significance.
Brief description of the drawings
Fig. 1 is the schematic diagram of sandwich composite structure in the present invention；
Fig. 2 tests schematic diagram for Free Modal in the present invention；
Fig. 3 is the packet-optimized method flow diagram of multistep in the present invention；
Fig. 4 is the p of the present invention1Group parameter first time iteration convergence curve map；
Fig. 5 is the p of the present invention2Group parameter first time iteration convergence curve map；
Fig. 6 is the p of the present invention1Group second of iteration convergence curve map of parameter；
Fig. 7 is the p of the present invention2Group second of iteration convergence curve map of parameter.
Embodiment
Technical scheme is described further below in conjunction with the accompanying drawings.
As shown in figure 1, the present invention sandwich composite structure include top panel 1, positioned at centre sandwich layer 2 and below
Plate 3.As shown in Fig. 2 the pilot system used in mode experiment of the present invention includes impulsive force hammer 4, acceleration transducer 5, data
Acquisition Instrument 6, signal analyzer 7 and computer 8, wherein impulsive force hammer 4 and acceleration transducer 5 access pair of data collecting instrument 6
Interface is answered, the data collecting instrument 6 is connected with signal analyzer 7 and computer 8 successively.
The present invention refers to a kind of parameter identification method of sandwich composite structure, comprises the following steps：
Step 1, the FEM model of sandwich composite structure is established, above-mentioned sandwich composite structure is equivalent
For the orthotropy homogeneous material FEM model of shell-entity-hull shape formula；
Step 2, mode experiment is carried out to sandwich composite structure, the mode experiment comprises the following steps that：
2.1) hammering method is utilized, the dynamic characteristic test under free state is carried out to sandwich composite structure, first
Hammer point arrangement is carried out to sandwich composite structure, and in structure away from one pick-up point of definition at mode stationary point；
2.2) sandwich composite structure is hung using rubber rope 9 and becomes free boundary structure, acceleration is passed
Sensor 5 is fixed at pick-up point；
2.3) model analysis parameter is set by signal analyzer 7；
2.4) with impulsive force hammer 4, to each hammer point edge, direction applies impulsive force in face in structure, and data are adopted
Collection instrument 6 gathers input signal and output signal of each hammer point when by pulse excitation, and wherein input signal is force signal,
Output signal is acceleration signal；
2.5) Modal Parameter Identification is carried out to input signal and output signal with signal analyzer 7, obtains pilot system
Frequency response function, the modal frequency and Mode Shape of sandwich composite structure are then obtained by curve matching, transmitted to meter
Calculation machine 8.
Step 3, using the parameter selection method based on Relative sensitivity analysis, to the to be repaired of sandwich composite structure
Positive parameter carries out Relative sensitivity analysis and carries out parameter packet, obtains sensitive parameter group；
The Relative sensitivity analysis comprises the following steps that：
3.1) according to the initial physical specificity analysis of parameter to be modified, initial parameter to be modified is obtained；It is main as structure
Bearing carrier, the elastic parameter of upper and lower panel should be concerned；Ignoring for some details also results in when being modeled in other face
There is inaccurate situation in elastic parameter in face；Consider that upper and lower panel is modeled using shell unit, the modulus of shearing of sandwich layer should also be worth
Concern；Based on above-mentioned initial physical specificity analysis, following 8 parameters are chosen as main parameter to be modified：The face of upper and lower panel
Interior elastic modulus E1、E2、G12With core material constant C11、C22、C44、C55、C66。
3.2) relative sensitivity calculation formula is utilized, sensitivity analysis is carried out to initial parameter to be modified, is obtained relatively clever
Sensitive matrix Sr；By the parameter with same order relative sensitivity point at same group, according to relative sensitive measurement level from height to
Low order carries out sequentially amendment and obtains sensitive parameter group, and wherein relative sensitivity calculation formula is：
F is modal frequency vector in formula, and p is parameter vector to be modified.
Step 4, using the packet-optimized method of multistep, using the modal frequency of sandwich composite structure, to sensitive ginseng
Array optimizes, and finally gives the parameter of the sandwich composite structure after identification；
As shown in figure 3, the wherein packet-optimized method of multistep, specifically comprises the following steps：
4.1) obtain parameter to be modified according to step 3 to be grouped, i.e., parameter vector p to be modified points are n subset：p1,
p2..., pn；
4.2) objective optimization function is determined：According to the modal frequency test value obtained by step 2, for each rank Modal Test
Frequency, the objective optimization function being defined below：
Wherein feFor experimental modal frequency vector, faFor Analysis Mode frequency vector, the physical meaning of the objective optimization function
It is：In the excursion [p of parameterl, pu] in, find the most optimized parameter and cause experimental modal frequency and Analysis Mode frequency vector
Two Norm minimums of difference, plAnd puThe parameter lower bound set respectively in makeover process according to model and the upper bound；
4.3) Optimal Parameters scope is determined：According to experimental rules and mechanics basic relational expression, obtain treating using perturbation method excellent
Change the excursion [p of parameterl, pu], usual pl=0.1~0.01p, pu=5~100p；
4.4) iteration optimization algorithms are utilized, the objective optimization function in step 4.2 is optimized, comprised the following steps that：
A, i=1, j=1, k=1 are made, selects one group of parameter Pi jAs parameter to be modified, matched and tried according to sensitivity analysis
The mode formation with finite element is tested, is identified using Optimized Iterative algorithm, if meeting convergent requirement, obtains convergent parameterAnd be updated in p, select next group of parameter pi+1As parameter to be modified, it is identified according to step a；Until i=n；
It is unsatisfactory for, makes k=k+1, updatesParameter continue to identify；
B, object function residual errorExamine, if meet required precision, if satisfied, terminating identification process, if being unsatisfactory for
J=j+1, return to step a is made to recalculate；Two groups of parameter convergence curves are as shown in Figure 4 to 7.
The present invention combines numerical simulation, experiment and optimization method, can identify that the sandwich with laminate characteristic is compound
Material structure material parameter.Consider that the material constant of sandwich composite structure is difficult to directly obtain by Experiments of Machanics, it is special
It is not from face performance associated materials constant, therefore by the packet-optimized method of multistep, using experimental modal frequency as desired value, energy
Enough accurately identify the mechanical property of the type structure, for engineer applied provide it is a kind of accurately based on numerical simulation, experiment and
The composite parameter identification method of optimization.
Embodiments of the present invention are described in detail above in association with accompanying drawing, but the present invention is not limited to described reality
Apply mode.For one of ordinary skill in the art, in the range of the principle of the present invention and technological thought, to these implementations
Mode carries out a variety of changes, modification, replacement and deformation and still fallen within protection scope of the present invention.
Claims (6)
1. a kind of parameter identification method of sandwich composite structure, it is characterised in that comprise the following steps：
Step 1, the sandwich composite structure includes upper and lower panel and the sandwich layer positioned at centre, and it is compound to establish sandwich
The FEM model of material structure, the orthotropy that sandwich composite structure is equivalent to shell-entity-hull shape formula are equal
Material FEM model；
Step 2, to sandwich composite structure carry out mode experiment, obtain sandwich composite structure modal frequency and
Mode Shape；
Step 3, using the parameter selection method based on Relative sensitivity analysis, to the ginseng to be modified of sandwich composite structure
Number carries out Relative sensitivity analysis and carries out parameter packet, obtains sensitive parameter group；
Step 4, using the packet-optimized method of multistep, using the modal frequency of sandwich composite structure, to sensitive parameter group
Optimize, finally give the parameter of the sandwich composite structure after identification.
2. the parameter identification method of sandwich composite structure according to claim 1, it is characterised in that：The step
The pilot system used in 2 mode experiment include impulsive force hammer, acceleration transducer, data collecting instrument, signal analyzer and
The corresponding interface of computer, impulsive force hammer and acceleration transducer access data collecting instrument, the data collecting instrument successively with
Signal analyzer is connected with computer；The mode experiment comprises the following steps that：
2.1) hammering method is utilized, the dynamic characteristic test under free state is carried out to sandwich composite structure, first to three
Mingzhi's composite structure carries out hammer point arrangement, and in structure away from one pick-up point of definition at mode stationary point；
2.2) suspension sandwich composite structure becomes free boundary structure, and acceleration transducer is fixed on into pick-up point
Place；
2.3) model analysis parameter is set by signal analyzer；
2.4) with impulsive force hammer, to each hammer point edge, direction applies impulsive force in face in structure, gathers each hammering
Input signal and output signal of the point when by pulse excitation；
2.5) Modal Parameter Identification is carried out to input signal and output signal with signal analyzer, obtains the frequency response letter of pilot system
Number, then obtains the modal frequency and Mode Shape of sandwich composite structure by curve matching.
3. the parameter identification method of sandwich composite structure according to claim 1, it is characterised in that：The step
Relative sensitivity analysis described in 3 comprises the following steps that：
3.1) according to the initial physical specificity analysis of parameter to be modified, initial parameter to be modified is obtained；
3.2) relative sensitivity calculation formula is utilized, sensitivity analysis is carried out to initial parameter to be modified, obtains relative sensitivity
Matrix Sr；By the parameter with same order relative sensitivity point at same group, according to relative sensitive measurement level from high to low
Order carries out sequentially amendment and obtains sensitive parameter group, and wherein relative sensitivity calculation formula is：
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F is modal frequency vector in formula, and p is parameter vector to be modified.
4. the parameter identification method of sandwich composite structure according to claim 3, it is characterised in that：It is described to be repaired
Positive parameter includes elastic modulus E in the face of upper and lower panel1、E2、G12With core material constant C11、C22、C44、C55、C66。
5. the parameter identification method of sandwich composite structure according to claim 1, it is characterised in that：The step
The packet-optimized method of multistep described in 4, specifically comprises the following steps：
4.1) obtain parameter to be modified according to step 3 to be grouped, i.e., parameter vector p to be modified points are n subset：p1, p2...,
pn；
4.2) objective optimization function is determined：According to the modal frequency test value obtained by step 2, for each rank Modal Test frequency
Rate, the objective optimization function being defined below：
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</mfenced>
Wherein feFor experimental modal frequency vector, faFor Analysis Mode frequency vector, the physical meaning of the objective optimization function is：
In the excursion [p of parameterl, pu] in find the most optimized parameter cause experimental modal frequency and Analysis Mode frequency vector difference
Two Norm minimums, plAnd puThe parameter lower bound set respectively in makeover process according to model and the upper bound；
4.3) Optimal Parameters scope is determined：According to experimental rules and mechanics basic relational expression, ginseng to be optimized is obtained using perturbation method
Several excursion [pl, pu]；
4.4) iteration optimization algorithms are utilized, the objective optimization function in step 4.2 is optimized, comprised the following steps that：
A, i=1, j=1, k=1 are made, selects one group of parameter Pi jAs parameter to be modified, according to sensitivity analysis match test and
The mode formation of finite element, is identified using Optimized Iterative algorithm, if meeting convergent requirement, obtains convergent parameter
And be updated in p, select next group of parameter pi+1As parameter to be modified, it is identified according to step a；
Until i=n；It is unsatisfactory for, makes k=k+1, updatesParameter continue to identify；
B, object function residual errorExamine, if meet required precision, if satisfied, terminating identification process, j=is made if being unsatisfactory for
J+1, return to step a are recalculated.
6. the parameter identification method of sandwich composite structure according to claim 5, it is characterised in that：The step
P in 4.3l=0.1~0.01p, pu=5~100p.
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| CN108920776A (en) * | 2018-06-11 | 2018-11-30 | 国网宁夏电力有限公司检修公司 | A kind of load ratio bridging switch kinetic model layering confirmation method based on hyper-model |
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| CN109543282A (en) * | 2018-11-19 | 2019-03-29 | 中车永济电机有限公司 | The measurement method for laminating iron core anisotropic parameters based on model analysis |
| CN109543282B (en) * | 2018-11-19 | 2023-03-31 | 中车永济电机有限公司 | Method for measuring anisotropy parameters of laminated iron core based on modal analysis |
| CN109885896A (en) * | 2019-01-25 | 2019-06-14 | 东南大学 | A kind of nonlinear organization correction method for finite element model based on multiple change differential sensitivity |
| CN109885896B (en) * | 2019-01-25 | 2020-04-24 | 东南大学 | Nonlinear structure finite element model correction method based on complex variation differential sensitivity |
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