CN105631234B - A kind of momenttum wheel disturbance response appraisal procedure - Google Patents
A kind of momenttum wheel disturbance response appraisal procedure Download PDFInfo
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- CN105631234B CN105631234B CN201610121944.3A CN201610121944A CN105631234B CN 105631234 B CN105631234 B CN 105631234B CN 201610121944 A CN201610121944 A CN 201610121944A CN 105631234 B CN105631234 B CN 105631234B
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Abstract
The invention discloses a kind of momenttum wheel disturbance response appraisal procedure, phase difference between power and torque is considered as stochastic variable, convolution is carried out by constructing the transmission function specified and white noise, and in the force vector time series of acquisition, the phase difference of power and torque contains all situations about being likely to occur.All amplitudes being likely to occur are contained using this force vector as excitation, the response time sequence of acquisition.As soon as by time response analysis, this method can obtain the extreme value of response, this is significantly to the technical risk for reducing the assessment of momenttum wheel disturbance response.
Description
Technical field
The present invention relates to momenttum wheel technical field, more particularly to a kind of momenttum wheel disturbance response appraisal procedure.
Background technology
Static unbalance and unbalance dynamic are the main reason for causing momenttum wheel to disturb.Quiet, unbalance dynamic coefficient only can be true
Determine perturbed force, the amplitude of torque, it is impossible to the phase difference between perturbed force, torque is determined, if ignoring this phase difference carries out disturbance point
Analysis, the result of calculating must be not conservative.
In order to conservatively analyze the influence that momenttum wheel disturbance produces, the method used at present is repeatedly to be calculated,
Different phase differences are set between perturbed force and disturbing moment when calculating every time, by the momenttum wheel the most of the maximum in result of calculation
The maximum of disturbing influence.This method is computationally intensive, and is easily subject to the interference of human factor and cannot obtain possible influence
As a result maximum, the analysis and evaluation to response bring certain risk.
The content of the invention
In view of this, the present invention provides a kind of momenttum wheel disturbance response appraisal procedure, momenttum wheel disturbance can be reduced and rung
The technical risk that should be assessed.
A kind of momenttum wheel disturbance response appraisal procedure, includes the following steps：
Step 1：Random generation white Gaussian noise time series N respectively1(t) and N2(t)；
Step 2: impulse response function time series is generated respectively using quiet, the unbalance dynamic parameter of momenttum wheel:
If CstaFor momenttum wheel static unbalance parameter, CdynFor momenttum wheel unbalance dynamic parameter, Ω is momentum wheel speed, pulse
The time series of receptance function is fitted using equation below：
Wherein：
Wherein,
Wherein,
Wherein,
Wherein,
ζs=ζd=0.01
Step 3: the white noise that the time series for the impulse response function that step 2 is obtained is obtained with step 1 is rolled up
Product, finally obtains the noisy data of momenttum wheel：
Wherein Fsx(t)、Fsy(t) it is the perturbed force of momenttum wheel, Mdx(t)、Mdy(t) it is the disturbing moment of momenttum wheel；τ is product
Variation per minute；
Step 4: by force vectorAs the input of time domain disturbance response, it is applied on momenttum wheel, obtains momentum
The response of wheel exports, and the maximum exported using response is quiet to momenttum wheel, unbalance dynamic disturbance response is assessed.
Displacement time domain response in wherein described response output is obtained according to duhamel integral formula：
Wherein,For the time domain response sequence of output,
For the impulse response function matrix of momenttum wheel, n is the dimension of matrix H (t).
The present invention has the advantages that：
Phase difference between power and torque is considered as stochastic variable by the present invention, by constructing the transmission function specified and white noise
Sound carries out convolution, and in the force vector time series of acquisition, the phase difference of power and torque contains all situations about being likely to occur.Will
This force vector contains all amplitudes being likely to occur as excitation, the response time sequence of acquisition.By a response analysis,
This method can just obtain the extreme value of response, this is significantly to the technical risk for reducing the assessment of momenttum wheel disturbance response.
Brief description of the drawings
Fig. 1 is the momenttum wheel disturbance response appraisal procedure flow chart of the present invention.
Fig. 2 is the momenttum wheel coordinate system schematic diagram of the present invention.
Embodiment
The present invention will now be described in detail with reference to the accompanying drawings and examples.
A kind of momenttum wheel disturbance response appraisal procedure of the present invention, as shown in Figure 1, specifically comprising the following steps：
(1) white Gaussian noise time series is generated；
The generation method of white Gaussian noise has a variety of, does not list specifically here.
(2) impulse response function time series is generated respectively using quiet, the unbalance dynamic parameter of momenttum wheel；
If CstaFor momenttum wheel static unbalance parameter, CdynFor momenttum wheel unbalance dynamic parameter, Ω is momentum wheel speed, pulse
The time series of receptance function is fitted using equation below.
Wherein
Wherein,
Wherein,
Wherein,
Wherein,
ζs=ζd=0.01.
(3) time series of impulse response function carries out convolution with white noise, finally obtains the noisy data of momenttum wheel.
Wherein, τ is integration variable；Fsx(t)、Fsy(t) it is the perturbed force of momenttum wheel, the two direction and momenttum wheel coordinate system
X, Y-axis is parallel；Mdx(t)、Mdy(t) it is parallel with momenttum wheel coordinate system X, Y-axis for the disturbing moment of momenttum wheel, the two direction；N1
(t)、N2(t) white Gaussian noise independently to produce.
(4) force vectorThe maximum conduct in analysis result can be taken directly as the input of time domain disturbance response
Momenttum wheel is quiet, the upper limit of unbalance dynamic disturbance response.Displacement time domain response can be calculated according to duhamel integral formula：
Wherein,For time domain response sequence,For structure
Impulse response function matrix, n be matrix H (t) dimension,For vector.The upper limit of disturbance response is time domain
Response sequence maximum max (abs (X (t))), for momenttum wheel is quiet, unbalance dynamic disturbance response is assessed.
In conclusion the foregoing is merely a prefered embodiment of the invention, it is not intended to limit the scope of the present invention.
Within the spirit and principles of the invention, any modification, equivalent replacement, improvement and so on, should be included in the present invention's
Within protection domain.
Claims (2)
1. a kind of momenttum wheel disturbance response appraisal procedure, it is characterised in that include the following steps：
Step 1：Random generation white Gaussian noise time series N respectively1(t) and N2(t)；
Step 2: impulse response function time series is generated respectively using quiet, the unbalance dynamic parameter of momenttum wheel:
If CstaFor momenttum wheel static unbalance parameter, CdynFor momenttum wheel unbalance dynamic parameter, Ω is momentum wheel speed, impulse response
The time series of function is fitted using equation below：
Wherein：
Wherein,
Wherein,
Wherein,
Wherein,
ζs=ζd=0.01
Step 3: the white noise that the time series for the impulse response function that step 2 is obtained is obtained with step 1 carries out convolution,
Finally obtain the noisy data of momenttum wheel：
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Wherein Fsx(t)、Fsy(t) it is the perturbed force of momenttum wheel, Mdx(t)、Mdy(t) it is the disturbing moment of momenttum wheel；τ becomes for integration
Amount；
Step 4: by force vectorAs the input of time domain disturbance response, it is applied on momenttum wheel, obtains momenttum wheel
Response exports, and the maximum exported using response is quiet to momenttum wheel, unbalance dynamic disturbance response is assessed.
A kind of 2. momenttum wheel disturbance response appraisal procedure as claimed in claim 1, it is characterised in that wherein described response output
In displacement time domain response according to duhamel integral formula obtain：
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Wherein,For the time domain response sequence of output,
For the impulse response function matrix of momenttum wheel, n is the dimension of matrix H (t).
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201610121944.3A CN105631234B (en) | 2016-03-03 | 2016-03-03 | A kind of momenttum wheel disturbance response appraisal procedure |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201610121944.3A CN105631234B (en) | 2016-03-03 | 2016-03-03 | A kind of momenttum wheel disturbance response appraisal procedure |
Publications (2)
| Publication Number | Publication Date |
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| CN105631234A CN105631234A (en) | 2016-06-01 |
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