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US5197018A Expired / Lapsed US ⏱️ 0.0 years remaining

Apparatus and method for drill wear prediction

Assignee: Texas Instruments Inc
•
Filing: 1991-03-26
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Granted: 1993-03-23
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Expires: 2011-03-26
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Abstract

Abstract A method is provided for detecting drill bit wear. Vibratory data is collected during the drilling of a reference hole into a workpiece. An autoregressive model is applied to the vibratory data collected during the drilling of the reference hole to determine reference hole characteristic parameters for the drill bit. Vibratory data is then collected during the drilling of a subsequent hole into the workpiece. The autoregressive model is applied to the vibratory data, collected during the drilling of the subsequent hole to determine subsequent hole characteristic parameters for the drill bit. The reference hole characteristic parameters are compared with the subsequent hole characteristic parameters to detect drill bit wear between the time of drilling of the reference hole and the time of drilling of the subsequent hole.

Inventors

  • 👤 Sang G. Oh

Bibliographic Details

Application Number —
Jurisdiction US
Data Source google_patents
Last Synchronized 2026-11-02 15:57
CPC Classifications
G; G05; G05B; G05B19/00; G05B19/02; G05B19/18; G05B19/406; G05B19/4065; G05B2219/00; G05B2219/30; G05B2219/37; G05B2219/37233; G05B2219/37351

Claims Analysis

Total Claims: 36
Claim 1
Independent Claim 103 words
A method for detecting drill bit wear comprising the steps of: drilling a reference hole into a workpiece; collecting vibratory data during such drilling; applying an autoregressive model to such vibratory data to determine reference hole characteristic parameters for the drill bit; drilling a subsequent hole into said workpiece; collecting vibratory data during the drilling of such subsequent hole; applying the autoregressive model to the vibratory data collected during the drilling of the subsequent hole to determine subsequent hole characteristic parameters for the drill bit; and comparing the reference hole characteristic parameters with the subsequent hole characteristic parameters to detect drill bit wear.
Claim 2
Independent Claim 103 words
A method for detecting drill bit wear comprising the steps of: drilling a reference hole into a workpiece; collecting vibratory data during such drilling; applying an autoregressive model to such vibratory data to determine reference hole characteristic parameters for the drill bit; drilling a subsequent hole into said workpiece; collecting vibratory data during the drilling of such subsequent hole; applying the autoregressive model to the vibratory data collected during the drilling of the subsequent hole to determine subsequent hole characteristic parameters for the drill bit; and comparing the reference hole characteristic parameters with the subsequent hole characteristic parameters to detect drill bit wear.
Claim 3
Dependent Claim 22 words
The method of claim 1, wherein said step of collecting vibratory data comprises the step of collecting vibratory data using an accelerometer.
Claim 4
Dependent Claim 22 words
The method of claim 1, wherein said step of collecting vibratory data comprises the step of collecting acoustic data with a microphone.
Claim 5
Independent Claim 191 words
A method for determining drill wear comprising the steps of: drilling a reference hole into a workpiece; collecting reference hole accelerometer data during such drilling; applying an autoregressive model of preset order to the reference hole accelerometer data to estimate initial autoregressive model coefficients and an initial residual variance; estimating a proper order of the autoregressive model by applying decision statistics to the initial residual variance; applying the autoregressive model of the proper order to the reference hole accelerometer data to estimate proper reference hole autoregressive model coefficients and a proper residual variance; drilling a subsequent hole into said workpiece; collecting subsequent hole accelerometer data during the drilling of such subsequent hole; applying the autoregressive model of the proper order to the subsequent hole accelerometer data to estimate first subsequent hole autoregressive model coefficients and a first subsequent hole residual variance; applying the autoregressive model of the proper order using the proper reference hole model coefficients to the subsequent hole accelerometer data to estimate a second subsequent hole residual variance; and taking the ratio of the second to the first subsequent hole residual variances to determine the amount of drill wear.
Claim 6
Independent Claim 191 words
A method for determining drill wear comprising the steps of: drilling a reference hole into a workpiece; collecting reference hole accelerometer data during such drilling; applying an autoregressive model of preset order to the reference hole accelerometer data to estimate initial autoregressive model coefficients and an initial residual variance; estimating a proper order of the autoregressive model by applying decision statistics to the initial residual variance; applying the autoregressive model of the proper order to the reference hole accelerometer data to estimate proper reference hole autoregressive model coefficients and a proper residual variance; drilling a subsequent hole into said workpiece; collecting subsequent hole accelerometer data during the drilling of such subsequent hole; applying the autoregressive model of the proper order to the subsequent hole accelerometer data to estimate first subsequent hole autoregressive model coefficients and a first subsequent hole residual variance; applying the autoregressive model of the proper order using the proper reference hole model coefficients to the subsequent hole accelerometer data to estimate a second subsequent hole residual variance; and taking the ratio of the second to the first subsequent hole residual variances to determine the amount of drill wear.
Claim 7
Dependent Claim 58 words
The method of claim 4, and further comprising the step of determining that the drill bit is worn by noting that the ratio of the second to the first subsequent hole residual variances for a worn drill bit is greater than the ratio of the second to the first subsequent hole residual variances for an unworn drill bit.
Claim 8
Dependent Claim 48 words
The method with claim 4 wherein the autoregressive model is characterized by the Equation: ##EQU14## where: y(t) is the accelerometer data observation at time t; p is the order of the model; α k are scalar coefficients; and n(t) is a noise process assumed to represent white noise.
Claim 9
Independent Claim 410 words
A method for monitoring drill wear, comprising the steps of: drilling a reference hole in a workpiece; collecting reference hole accelerometer data during such drilling; applying an autoregressive model in accordance with the equation: ##EQU15## where: y(t) is the accelerometer data collected at time t; p is the order of the model; α k is a set of scalar coefficients for the autoregressive model; and n(t) is a noise process assumed to represent white noise; to the reference hole acceleration data, said step of applying the autoregressive model comprising substeps of: estimating an initial set of values for the scalar coefficients for the reference hole accelerometer data using a preset order of the model; estimating an initial residual variance for the reference hole accelerometer data using the preset order of the model and the initial set of values for the scalar coefficients; estimating a proper order of the model using decision statistics; estimating a proper set of values for the scalar coefficients for the reference hole accelerometer data using the proper order of the model; and estimating a proper residual variance for the reference hole accelerometer data using the proper order of the model and the proper set of values for the scalar coefficients; drilling a subsequent hole in said workpeice; collecting subsequent hole accelerometer data during the drilling of such subsequent hole; applying the autoregressive model to the subsequent hole accelerometer data said step of applying the autoregressive model comprising the substeps of: estimating a set of values for the scalar coefficients for the subsequent hole accelerometer data using the proper order of the model estimated during the step of applying the autoregressive model to the reference hole accelerometer data; estimating a first residual variance for the subsequent hole accelerometer data using the set of values for the scalar coefficients estimated for the subsequent hole accelerometer data and the proper order of the model; and estimating a second residual variance for the subsequent hole accelerometer data using the proper set of scalar coefficients estimated during the step of applying the autoregressive model to the reference hole accelerometer data and the proper order of the model; and determining the amount of drill wear occurring between the time of completion of drilling the reference hole and the time of completion of drilling the subsequent hole by taking the ratio of the second residual variance estimated for the subsequent hole data to the first residual variance estimated for the subsequent hole data.
Claim 10
Independent Claim 410 words
A method for monitoring drill wear, comprising the steps of: drilling a reference hole in a workpiece; collecting reference hole accelerometer data during such drilling; applying an autoregressive model in accordance with the equation: ##EQU15## where: y(t) is the accelerometer data collected at time t; p is the order of the model; α k is a set of scalar coefficients for the autoregressive model; and n(t) is a noise process assumed to represent white noise; to the reference hole acceleration data, said step of applying the autoregressive model comprising substeps of: estimating an initial set of values for the scalar coefficients for the reference hole accelerometer data using a preset order of the model; estimating an initial residual variance for the reference hole accelerometer data using the preset order of the model and the initial set of values for the scalar coefficients; estimating a proper order of the model using decision statistics; estimating a proper set of values for the scalar coefficients for the reference hole accelerometer data using the proper order of the model; and estimating a proper residual variance for the reference hole accelerometer data using the proper order of the model and the proper set of values for the scalar coefficients; drilling a subsequent hole in said workpeice; collecting subsequent hole accelerometer data during the drilling of such subsequent hole; applying the autoregressive model to the subsequent hole accelerometer data said step of applying the autoregressive model comprising the substeps of: estimating a set of values for the scalar coefficients for the subsequent hole accelerometer data using the proper order of the model estimated during the step of applying the autoregressive model to the reference hole accelerometer data; estimating a first residual variance for the subsequent hole accelerometer data using the set of values for the scalar coefficients estimated for the subsequent hole accelerometer data and the proper order of the model; and estimating a second residual variance for the subsequent hole accelerometer data using the proper set of scalar coefficients estimated during the step of applying the autoregressive model to the reference hole accelerometer data and the proper order of the model; and determining the amount of drill wear occurring between the time of completion of drilling the reference hole and the time of completion of drilling the subsequent hole by taking the ratio of the second residual variance estimated for the subsequent hole data to the first residual variance estimated for the subsequent hole data.
Claim 11
Dependent Claim 35 words
The method of claim 7, wherein said steps of estimating sets of values for the model scalar coefficients comprise the steps of estimating sets of values for the model scalar coefficients using the Yule-Walker Method.
Claim 12
Dependent Claim 35 words
The method of claim 7, wherein said steps of estimating sets of values for the model scalar coefficients comprise the steps of estimating sets of values for the model scalar coefficients using the Burg Method.
Claim 13
Dependent Claim 28 words
The method of claim 7, wherein said steps of estimating sets of scalar coefficients comprise the steps of estimating sets of scalar coefficients using the Modified Covariance Method.
Claim 14
Dependent Claim 31 words
The method of claim 7, wherein said step of estimating a proper order of the model comprises the step of estimating a proper order of the model using Akaike's Information Criteria.
Claim 15
Dependent Claim 31 words
The method of claim 7, wherein said step of estimating a proper order of the model comprises the step of estimating a proper order of the model using Kayshap's Decision Statistics.
Claim 16
Dependent Claim 31 words
The method of claim 7 wherein said step of estimating a proper order of the model comprises the step of estimating a proper order of the model using Minimum Description Length.
Claim 17
Dependent Claim 72 words
The method of claim 7, wherein said steps of estimating residual variance each comprise the steps of estimating residual variance in accordance with the formula: ##EQU16## where: ρ is the estimated residual variance; N is the number of observations; p is the order of the autoregressive model; y(t) is an accelerometer observation taken at time t; and α k is the estimated value for the autoregressive model scalar coefficient at iteration k.
Claim 18
Dependent Claim 27 words
The method of claim 7, wherein the preset value for the order of the model is an integer selected from the range consisting of 50 to 100.
Claim 19
Dependent Claim 40 words
The method of claim 7 wherein an increase in the ratio of the second residual variance estimated for the subsequent data hole data to the first residual variance estimated for the subsequent hole data increases with increasing drill bit wear.
Claim 20
Independent Claim 413 words
A method for monitoring drill wear, comparing the steps of: drilling a reference hole in a workpiece; collecting reference hole accelerometer data during such drilling; applying an autoregressive model in accordance with the equation; ##EQU17## where: y(t) is the accelerometer data collected at time t; p is the order of the model; α k is a set of scalar coefficients for the autoregressive model; and n(t) is a noise process assumed to represent white noise; to the reference hole accelerometer data, said step of applying the autoregressive model comprising substeps of: estimating an initial set of values of the scalar coefficients for the reference hole accelerometer data using a preset order of the model; estimating an initial residual variance for the reference hole accelerometer data using the preset order of the model and the initial set of values for the scalar coefficients; estimating a proper order of the model using decision statistics; estimating a proper set of values for he scalar coefficients for the reference hole accelerometer data using the proper order of the model; and estimating a proper residual variance for the reference hole accelerometer data using the proper order of the model and the proper set of values for the scalar coefficients; drilling a subsequent hole in said workpiece; collecting subsequent hole accelerometer data during the drilling of such subsequent hole; applying the autoregressive model to the subsequent hole accelerometer data, said step of applying the autoregressive model comprising the substeps of: estimating a set of values for the scalar coefficients for the subsequent hole accelerometer data using the proper order of the model estimated during the step of applying the autoregressive model to the reference hole accelerometer data; estimating a first residual variance for the subsequent hole accelerometer data using the set of values for the scalar coefficients estimated for the subsequent hole accelerometer data in the proper order of the model; and estimating a second residual variance estimated for the subsequent hole accelerometer data using the proper set of scalar coefficients estimated during the step of applying the autoregressive model to the reference hole accelerometer data in the proper order of the model; and determining the amount of drill wear occurring between the time of completion of drilling of the reference hole and the time of completion of drilling the subsequent hole by taking the ratio of the second residual variance estimated for the subsequent hole data to the accelerometer energy detected during the drilling of the subsequent hole.
Claim 21
Independent Claim 413 words
A method for monitoring drill wear, comparing the steps of: drilling a reference hole in a workpiece; collecting reference hole accelerometer data during such drilling; applying an autoregressive model in accordance with the equation; ##EQU17## where: y(t) is the accelerometer data collected at time t; p is the order of the model; α k is a set of scalar coefficients for the autoregressive model; and n(t) is a noise process assumed to represent white noise; to the reference hole accelerometer data, said step of applying the autoregressive model comprising substeps of: estimating an initial set of values of the scalar coefficients for the reference hole accelerometer data using a preset order of the model; estimating an initial residual variance for the reference hole accelerometer data using the preset order of the model and the initial set of values for the scalar coefficients; estimating a proper order of the model using decision statistics; estimating a proper set of values for he scalar coefficients for the reference hole accelerometer data using the proper order of the model; and estimating a proper residual variance for the reference hole accelerometer data using the proper order of the model and the proper set of values for the scalar coefficients; drilling a subsequent hole in said workpiece; collecting subsequent hole accelerometer data during the drilling of such subsequent hole; applying the autoregressive model to the subsequent hole accelerometer data, said step of applying the autoregressive model comprising the substeps of: estimating a set of values for the scalar coefficients for the subsequent hole accelerometer data using the proper order of the model estimated during the step of applying the autoregressive model to the reference hole accelerometer data; estimating a first residual variance for the subsequent hole accelerometer data using the set of values for the scalar coefficients estimated for the subsequent hole accelerometer data in the proper order of the model; and estimating a second residual variance estimated for the subsequent hole accelerometer data using the proper set of scalar coefficients estimated during the step of applying the autoregressive model to the reference hole accelerometer data in the proper order of the model; and determining the amount of drill wear occurring between the time of completion of drilling of the reference hole and the time of completion of drilling the subsequent hole by taking the ratio of the second residual variance estimated for the subsequent hole data to the accelerometer energy detected during the drilling of the subsequent hole.
Claim 22
Dependent Claim 35 words
The method of claim 17, wherein said steps of estimating sets of values for the model scalar coefficients comprise the steps of estimating sets of values for the model scalar coefficients using the Yule-Walker Method.
Claim 23
Dependent Claim 35 words
The method of claim 17, wherein said steps of estimating sets of values for the model scalar coefficients comprise the steps of estimating sets of values for the model scalar coefficients using the Burg Method.
Claim 24
Dependent Claim 28 words
The method of claim 17, wherein said steps of estimating sets of scalar coefficients comprise the steps of estimating sets of scalar coefficients using the Modified Covariance Method.
Claim 25
Dependent Claim 31 words
The method of claim 17, wherein said step of estimating a proper order of the model comprises the step of estimating a proper order of the model using Akaike's Information Criteria.
Claim 26
Dependent Claim 31 words
The method of claim 17, wherein said step of estimating a proper order of the model comprises the step of estimating a proper order of the model using Kayshap's Decision Statistics.
Claim 27
Dependent Claim 31 words
The method of claim 17, wherein said step of estimating a proper order of the model comprises the step of estimating a proper order of the model using Minimum Description Length.
Claim 28
Dependent Claim 70 words
The method of claim 17, wherein said steps of estimating residual variance comprise the steps of estimating residual variance in accordance with the formula: ##EQU18## where: ρ is the estimated residual variance; N is the number of observations; p is the order of the autoregressive model; y(t) is an observation taken at time t; and α k is the estimated value for the autoregressive model scalar coefficient at iteration k.
Claim 29
Dependent Claim 27 words
The method of claim 17, wherein the preset value for the order of the model is an integer selected from the range consisting of 50 to 100.
Claim 30
Dependent Claim 46 words
The method of claim 17, wherein the ratio of the second residual variance estimated for the subsequent hole to the accelerometer energy detected for the subsequent hole to the accelerometer energy detected during the drilling of the subsequent hole increases directly with increasing drill bit wear.
Claim 31
Dependent Claim 90 words
The method of claim 17, wherein the step of determining the amount of drill bit wear comprises the step of calculating the ratio of the second residual variance estimated for the subsequent hole acceleration data to the accelerometer energy detected during the drilling of the subsequent hole in accordance with the formula: ##EQU19## where: y(t) is the accelerometer observation taken at time t for the subsequent hole; N is the number of observations made; and ρ j ,ref is the second residual variance estimated for the subsequent hole acceleration data.
Claim 32
Dependent Claim 139 words
A drilling system having integral drill bit wear monitoring comprising: a drill bit; a motor for driving said drill bit during the drilling of a hole into a workpiece; a vibratory sensor disposed adjacent said workpiece; and a processor for collecting vibratory data from said vibratory sensor and determining drill bit wear therefrom, said processor operable to: apply an autoregressive model to vibratory data collected by said vibratory sensor during the drilling of a reference hole into said workpiece to determine reference hole characteristic parameters for said drill bit; apply the autoregressive model to vibratory data collected by said vibratory sensor during the drilling of a subsequent hole into said workpiece to determine subsequent hole characteristic parameters for said drill bit; and comparing the reference hole characteristic parameters with the subsequent hole characteristic parameters to detect drill bit wear.
Claim 33
Dependent Claim 139 words
A drilling system having integral drill bit wear monitoring comprising: a drill bit; a motor for driving said drill bit during the drilling of a hole into a workpiece; a vibratory sensor disposed adjacent said workpiece; and a processor for collecting vibratory data from said vibratory sensor and determining drill bit wear therefrom, said processor operable to: apply an autoregressive model to vibratory data collected by said vibratory sensor during the drilling of a reference hole into said workpiece to determine reference hole characteristic parameters for said drill bit; apply the autoregressive model to vibratory data collected by said vibratory sensor during the drilling of a subsequent hole into said workpiece to determine subsequent hole characteristic parameters for said drill bit; and comparing the reference hole characteristic parameters with the subsequent hole characteristic parameters to detect drill bit wear.
Claim 34
Dependent Claim 13 words
The drilling system of claim 28, wherein said vibratory sensor comprises an accelerometer.
Claim 35
Dependent Claim 13 words
The drilling system of claim 28, wherein said vibratory sensor comprises a microphone.
Claim 36
Dependent Claim 22 words
The drilling system of claim 28, wherein said processor is operable to process vibratory data in the frequency range of 0-10 KHz.

References Cited (Backward Citations)

US3694637A Cited
US4471444A Cited
US4514797A Cited
US4894644A Cited
US5081599A Cited

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