CN107490460A - Method and apparatus for determining modal frequency - Google Patents

Method and apparatus for determining modal frequency Download PDF

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Publication number
CN107490460A
CN107490460A CN201611209703.0A CN201611209703A CN107490460A CN 107490460 A CN107490460 A CN 107490460A CN 201611209703 A CN201611209703 A CN 201611209703A CN 107490460 A CN107490460 A CN 107490460A
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China
Prior art keywords
reference point
modal frequency
testee
gradient
module
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CN201611209703.0A
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Chinese (zh)
Inventor
周小龙
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Borgward Automotive China Co Ltd
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Borgward Automotive China Co Ltd
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Priority to CN201611209703.0A priority Critical patent/CN107490460A/en
Publication of CN107490460A publication Critical patent/CN107490460A/en
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01MTESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
    • G01M7/00Vibration-testing of structures; Shock-testing of structures
    • G01M7/02Vibration-testing by means of a shake table
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01HMEASUREMENT OF MECHANICAL VIBRATIONS OR ULTRASONIC, SONIC OR INFRASONIC WAVES
    • G01H17/00Measuring mechanical vibrations or ultrasonic, sonic or infrasonic waves, not provided for in the preceding groups
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01MTESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
    • G01M7/00Vibration-testing of structures; Shock-testing of structures
    • G01M7/02Vibration-testing by means of a shake table
    • G01M7/025Measuring arrangements

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  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Measurement Of Mechanical Vibrations Or Ultrasonic Waves (AREA)

Abstract

This disclosure relates to a kind of method and apparatus for determining modal frequency.Methods described includes:Obtain the frequency response function curve of testee;Abscissa multiple reference points at equal intervals are chosen in the frequency response function curve;Calculate the gradient of each reference point;The modal frequency of the testee is determined according to the gradient of the multiple reference point.So, the feature using modal frequency in FRF curves, the modal frequency of testee is automatically searched by computer, is searched without artificial, reduced the artificial workload for searching modal frequency, improve operating efficiency.

Description

Method and apparatus for determining modal frequency
Technical field
This disclosure relates to vibration-testing field, in particular it relates to a kind of method and apparatus for determining modal frequency.
Background technology
Model analysis is a kind of method of research structure dynamic characteristics, is typically employed in Engineering Vibration field.Wherein, mode is Refer to the natural vibration characteristic of mechanical structure, modal parameter includes modal frequency, Mode Shape, modal mass, modal vector, mode Rigidity and modal damping etc..The process for analyzing these modal parameters is referred to as model analysis.By computational methods, model analysis can be divided into Computational modal analysis and test modal analysis.
The mode of usual experimental test object carries out excitation object using vibrator or power hammer more, obtains frequency response function (frequency response function, FRF) curve, it is tested to obtain by manually reading the information in FRF curves The modal frequency of object.
The content of the invention
The purpose of the disclosure is to provide a kind of method and apparatus for being simply and easily used to determine modal frequency.
To achieve these goals, the disclosure provides a kind of method for determining modal frequency.Methods described includes:Obtain Take the frequency response function curve of testee;Abscissa multiple reference points at equal intervals are chosen in the frequency response function curve;Meter Calculate the gradient of each reference point;The modal frequency of the testee is determined according to the gradient of the multiple reference point.
Alternatively, the gradient according to the multiple reference point determines that the step of modal frequency of the testee wraps Include:It is less than the reference point of predetermined Grads threshold according to gradient, determines the modal frequency of the testee.
Alternatively, the reference point that predetermined Grads threshold is less than according to gradient, the mode of the testee is determined The step of frequency, includes:In the reference point that gradient is less than the predetermined Grads threshold, its ordinate is filtered out more than adjacent Previous reference point ordinate, and more than adjacent latter reference point ordinate reference point;The reference that will be filtered out The abscissa of point is defined as the modal frequency of the testee.
Alternatively, the gradient according to the multiple reference point determines the modal frequency of the testee the step of Afterwards, methods described also includes:The order of the modal frequency of the testee is determined according to sequence from small to large.
Alternatively, the gradient according to the multiple reference point determines the modal frequency of the testee the step of Afterwards, methods described also includes:
The modal frequency of the testee is exported according to sequence from small to large.
The disclosure also provides a kind of device for being used to determine modal frequency.Described device includes:Acquisition module, for obtaining The frequency response function curve of testee;Module is chosen, is connected with the acquisition module, for being selected in the frequency response function curve Take abscissa multiple reference points at equal intervals;Computing module, it is connected with the selection module, for calculating the ladder of each reference point Degree;First determining module, it is connected with the computing module, for determining the measured object according to the gradient of the multiple reference point The modal frequency of body.
Alternatively, first determining module includes:First determination sub-module, for being less than predetermined gradient according to gradient The reference point of threshold value, determine the modal frequency of the testee.
Alternatively, first determination sub-module includes:Submodule is screened, for being less than the predetermined gradient in gradient In the reference point of threshold value, filter out its ordinate and be more than the ordinate of adjacent previous reference point, and be more than adjacent latter ginseng The reference point of the ordinate of examination point;Second determination sub-module, it is connected with the screening submodule, for the reference that will be filtered out The abscissa of point is defined as the modal frequency of the testee.
Alternatively, described device also includes:Second determining module, be connected with first determining module, for according to from The order of the small modal frequency that the testee is determined to big sequence.
Alternatively, described device also includes:Output module, it is connected with first determining module, for that described will be tested The modal frequency of object exports according to sequence from small to large.
Pass through above-mentioned technical proposal, according in FRF curves, gradient determines quilt less than the reference point of predetermined Grads threshold Survey the modal frequency of object.So, the feature using modal frequency in FRF curves, automatically searched by computer tested The modal frequency of object, searched without artificial, reduce the artificial workload for searching modal frequency, improve work effect Rate.
Other feature and advantage of the disclosure will be described in detail in subsequent specific embodiment part.
Brief description of the drawings
Accompanying drawing is for providing further understanding of the disclosure, and a part for constitution instruction, with following tool Body embodiment is used to explain the disclosure together, but does not form the limitation to the disclosure.In the accompanying drawings:
Fig. 1 is the flow chart for being used to determine the method for modal frequency shown in an exemplary embodiment;
Fig. 2 is the block diagram for being used to determine the device of modal frequency shown in an exemplary embodiment.
Embodiment
The embodiment of the disclosure is described in detail below in conjunction with accompanying drawing.It should be appreciated that this place is retouched The embodiment stated is merely to illustrate and explained the disclosure, is not limited to the disclosure.
During the experimental test of modal frequency, after testing crew is by vibrator or power hammer excitation object, FRF is obtained Curve, the modal frequency of testee is read from FRF curves by experience.This needs testing crew to have professional mould measurement Experience and modal frequency relevant knowledge.General staff can not operate, higher to personnel requirement.
In consideration of it, inventor expects, the spy that the point corresponding to modal frequency in FRF curves is the maximum in curve is utilized Property, the modal frequency of testee can be automatically found by computer, more efficiently to carry out follow-up processing.With Under be described in detail.
Fig. 1 is the flow chart for being used to determine the method for modal frequency shown in an exemplary embodiment.As shown in figure 1, institute The method of stating may comprise steps of.
In step s 11, the FRF curves of testee are obtained.For example, it can simply be extracted from mould measurement software Go out the FRF curves of the testee generated.The FRF curves are two-dimensional curve, and its corresponding functional equation for example can be:
F (x)=A
Wherein, A is amplitude, and x is frequency, and f () is function corresponding to FRF curves.
In step s 12, abscissa multiple reference points at equal intervals are chosen in FRF curves.
It is, can (can be limited range or infinite range) uniformly in the range of the abscissa where FRF curves Choose multiple points, abscissa as a reference point in ground.And reference point is the point in FRF curves.Its horizontal seat of selected reference point Therefore mark, can in large quantities choose reference point as the frequency of candidate in the case where weighing the operational speed of a computer, Modal frequency determined by having made reaches certain accuracy.
Meanwhile between adjacent reference point its abscissa be equidistant, it can so make the frequency distribution of candidate uniform, choose Results contrast it is accurate.
In step s 13, the gradient of each reference point is calculated.
According to the definition of gradient, it may be determined that the gradient of reference point is:
Wherein,For the gradient of i-th of reference point.
In step S14, the modal frequency of testee is determined according to the gradient of multiple reference points.
Because modal frequency is the abscissa corresponding to the point with maximum in FRF curves, and the gradient of reference point is big The small extreme cases reflected to a certain extent in FRF curves, therefore, gradient that can be according to reference point in FRF curves To judge whether its abscissa is modal frequency.
It is desired that when the gradient of a reference point is zero, it can be determined that the reference point is one in FRF curves Individual extreme value (maximum value or minimum value), can be in this, as the foundation for determining modal frequency.
The method judged using the gradient, can effectively evade the burr in FRF curves.Because the gradient of burr is past It is past to be not zero.This is also an ingenious part of disclosure scheme.
It is distributed yet with selected reference point for breakpoint, it is possible to which really the point with extreme value is not chosen as joining Examination point.In consideration of it, by choosing reference point in large quantities the gradient of the reference point around extreme value can be enable to connect as much as possible It is bordering on zero.On the basis of largely reference point is chosen, a Grads threshold can be preset, when the gradient of a reference point is less than the ladder Can thinks that the reference point is exactly the extreme point of FRF curves when spending threshold value.
In an embodiment of the disclosure, the step of modal frequency of testee is determined according to the gradient of multiple reference points (step S14) can include step S141.
In step s 141, the reference point of predetermined Grads threshold is less than according to gradient, determines the mode frequency of testee Rate.
Wherein, Grads threshold can empirically or experimentally be drawn.When Grads threshold is larger, then corresponding to same pole Value point may filter out more reference point, and redundancy is larger, but not allow to tend to have omission.When Grads threshold is smaller, redundancy is smaller, But easily there is omission.User can be set according to self-demand.
As described above, when the gradient of a reference point is less than Grads threshold, it is believed that the reference point is the one of FRF curves Individual extreme point.In the case where being determined as maximum, it is possible to which the abscissa for determining the reference point is modal frequency.
Can have a variety of methods judge the reference point whether be maximum point.In another embodiment of the present disclosure, root It is less than the reference point of predetermined Grads threshold according to gradient, the step of determining the modal frequency of testee (step S141) can wrap Include following steps:
In the reference point that gradient is less than predetermined Grads threshold, filter out its ordinate and be more than adjacent previous reference point Ordinate, and more than adjacent latter reference point ordinate reference point;
The abscissa of the reference point filtered out is defined as to the modal frequency of testee.
Wherein, ordinate is more than the ordinate of adjacent previous reference point, and more than the vertical seat of adjacent latter reference point Mark, the then it is considered that reference point is the maximum point in the reference point around it.In this way, it is possible to easily judge depanning State frequency.
It is, work asAnd meet f (xi)-f(xi-1) > 0 and f (xi)-f(xi+1) > 0 When, it is possible to determine that the abscissa of i-th of reference point is the modal frequency of testee.Wherein, G0For Grads threshold, for example, taking 0.01。
The method that maximum point is judged in the embodiment is simple, therefore data processing speed is fast, efficiency high.
Generally modal frequency can include multiple, such as:First-order modal frequency, second-order modal frequency etc..In the disclosure In another embodiment, the order of modal frequency can also be determined according to the size of modal frequency.In this embodiment, in Fig. 1 On the basis of, it is described the modal frequency of testee is determined according to the gradient of multiple reference points the step of after (step S14) Method can also include:The order of the modal frequency of testee is determined according to sequence from small to large.
It is, being named to identified multiple modal frequencies, minimum modal frequency is first-order modal frequency, secondary For second-order modal frequency, by that analogy.In the embodiment, modal frequency is not only defined, and is distinguished multistage Modal frequency, facilitate user's identification and follow-up data processing.
, can also be defeated according to the sequence progress of setting by identified modal frequency in the another embodiment of the disclosure Go out.In this embodiment, on the basis of Fig. 1, the modal frequency of testee is being determined according to the gradient of multiple reference points After step (step S14), methods described can also include:The modal frequency of testee is defeated according to sequence from small to large Go out.
It is, the order according to order from small to large, exports multi-modes frequency, be so easy to user to browse, lifted Consumer's Experience.
Pass through above-mentioned technical proposal, according in FRF curves, gradient determines quilt less than the reference point of predetermined Grads threshold Survey the modal frequency of object.So, the feature using modal frequency in FRF curves, automatically searched by computer tested The modal frequency of object, searched without artificial, reduce the artificial workload for searching modal frequency, improve work effect Rate.
The disclosure also provides a kind of device for being used to determine modal frequency.Fig. 2 is used for shown in an exemplary embodiment Determine the block diagram of the device of modal frequency.As shown in Fig. 2 acquisition module 11, choosing can be included by determining the device 10 of modal frequency Modulus block 12, the determining module 14 of computing module 13 and first.
Acquisition module 11 is used for the frequency response function curve for obtaining testee.
Module 12 is chosen to be connected with the acquisition module, it is equidistant for choosing abscissa in the frequency response function curve Multiple reference points.
Computing module 13 is connected with the selection module, for calculating the gradient of each reference point.
First determining module 14 is connected with the computing module, described in being determined according to the gradient of the multiple reference point The modal frequency of testee.
Alternatively, first determining module 14 can include the first determination sub-module.
First determination sub-module is used for the reference point for being less than predetermined Grads threshold according to gradient, determines the testee Modal frequency.
Alternatively, first determination sub-module 14 can include screening submodule and the second determination sub-module.
Screen submodule to be used in the reference point that gradient is less than the predetermined Grads threshold, it is big to filter out its ordinate In the ordinate of adjacent previous reference point, and the reference point of the ordinate more than adjacent latter reference point.
Second determination sub-module is connected with the screening submodule, for the abscissa of the reference point filtered out to be determined For the modal frequency of the testee.
Alternatively, described device 10 can also include the second determining module.
Second determining module is connected with first determining module, described tested for being determined according to sequence from small to large The order of the modal frequency of object.
Alternatively, described device 10 can also include output module.
Output module is connected with first determining module, for by the modal frequency of the testee according to from it is small to Big sequence output.
On the device in above-described embodiment, wherein modules perform the concrete mode of operation in relevant this method Embodiment in be described in detail, explanation will be not set forth in detail herein.
Pass through above-mentioned technical proposal, according in FRF curves, gradient determines quilt less than the reference point of predetermined Grads threshold Survey the modal frequency of object.So, the feature using modal frequency in FRF curves, automatically searched by computer tested The modal frequency of object, searched without artificial, reduce the artificial workload for searching modal frequency, improve work effect Rate.
The preferred embodiment of the disclosure is described in detail above in association with accompanying drawing, still, the disclosure is not limited to above-mentioned reality The detail in mode is applied, in the range of the technology design of the disclosure, a variety of letters can be carried out to the technical scheme of the disclosure Monotropic type, these simple variants belong to the protection domain of the disclosure.
It is further to note that each particular technique feature described in above-mentioned embodiment, in not lance In the case of shield, it can be combined by any suitable means.In order to avoid unnecessary repetition, the disclosure to it is various can The combination of energy no longer separately illustrates.
In addition, it can also be combined between a variety of embodiments of the disclosure, as long as it is without prejudice to originally Disclosed thought, it should equally be considered as disclosure disclosure of that.

Claims (10)

  1. A kind of 1. method for determining modal frequency, it is characterised in that methods described includes:
    Obtain the frequency response function curve of testee;
    Abscissa multiple reference points at equal intervals are chosen in the frequency response function curve;
    Calculate the gradient of each reference point;
    The modal frequency of the testee is determined according to the gradient of the multiple reference point.
  2. 2. according to the method for claim 1, it is characterised in that described according to determining the gradient of the multiple reference point The step of modal frequency of testee, includes:
    It is less than the reference point of predetermined Grads threshold according to gradient, determines the modal frequency of the testee.
  3. 3. according to the method for claim 2, it is characterised in that the reference for being less than predetermined Grads threshold according to gradient Point, include the step of the modal frequency for determining the testee:
    In the reference point that gradient is less than the predetermined Grads threshold, filter out its ordinate and be more than adjacent previous reference point Ordinate, and more than adjacent latter reference point ordinate reference point;
    The abscissa of the reference point filtered out is defined as to the modal frequency of the testee.
  4. 4. according to the method for claim 1, it is characterised in that determine institute in the gradient according to the multiple reference point After the step of stating the modal frequency of testee, methods described also includes:
    The order of the modal frequency of the testee is determined according to sequence from small to large.
  5. 5. according to the method for claim 1, it is characterised in that determine institute in the gradient according to the multiple reference point After the step of stating the modal frequency of testee, methods described also includes:
    The modal frequency of the testee is exported according to sequence from small to large.
  6. 6. a kind of device for being used to determine modal frequency, it is characterised in that described device includes:
    Acquisition module, for obtaining the frequency response function curve of testee;
    Module is chosen, is connected with the acquisition module, it is more at equal intervals for choosing abscissa in the frequency response function curve Individual reference point;
    Computing module, it is connected with the selection module, for calculating the gradient of each reference point;
    First determining module, it is connected with the computing module, it is described tested for being determined according to the gradient of the multiple reference point The modal frequency of object.
  7. 7. device according to claim 6, it is characterised in that first determining module includes:
    First determination sub-module, for being less than the reference point of predetermined Grads threshold according to gradient, determine the testee Modal frequency.
  8. 8. device according to claim 7, it is characterised in that first determination sub-module includes:
    Submodule is screened, in reference point of the gradient less than the predetermined Grads threshold, filtering out its ordinate and being more than The ordinate of adjacent previous reference point, and the reference point of the ordinate more than adjacent latter reference point;
    Second determination sub-module, it is connected with the screening submodule, for the abscissa of the reference point filtered out to be defined as The modal frequency of the testee.
  9. 9. device according to claim 6, it is characterised in that described device also includes:
    Second determining module, it is connected with first determining module, for determining the measured object according to sequence from small to large The order of the modal frequency of body.
  10. 10. device according to claim 6, it is characterised in that described device also includes:
    Output module, be connected with first determining module, for by the modal frequency of the testee according to from small to large Sequence output.
CN201611209703.0A 2016-12-23 2016-12-23 Method and apparatus for determining modal frequency Pending CN107490460A (en)

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Application publication date: 20171219