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Spatial frequency identification method based on two-dimensional variational mode decomposition of machined surface

A technology of variational modal decomposition and surface processing, applied in character and pattern recognition, instruments, complex mathematical operations, etc., can solve problems such as large reconstruction error, modal aliasing, original signal distortion, etc. Thoroughly solve the effect of modal aliasing

Active Publication Date: 2022-04-26
INST OF MACHINERY MFG TECH CHINA ACAD OF ENG PHYSICS
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Problems solved by technology

[0004] The technical problem to be solved by the present invention is: the existing ultra-precision machining surface spatial frequency decomposition and identification method has the defects of modal aliasing and large reconstruction error, which leads to the inability to obtain better separation of the processed surface spatial frequency and may lead to decomposition The resulting data is distorted on the original data
The present invention provides a spatial frequency identification method based on two-dimensional variational mode decomposition of ultra-precision machining surface topography to solve the above problems, which effectively solves the problem of unsatisfactory spatial frequency separation caused by serious mode mixing in the existing method. Large structural errors lead to problems such as distortion of the original signal

Method used

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  • Spatial frequency identification method based on two-dimensional variational mode decomposition of machined surface
  • Spatial frequency identification method based on two-dimensional variational mode decomposition of machined surface
  • Spatial frequency identification method based on two-dimensional variational mode decomposition of machined surface

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Embodiment 1

[0070] This embodiment provides a spatial frequency identification method based on two-dimensional variational mode decomposition of ultra-precision machining surface topography, and the specific steps are as follows:

[0071] Step 1, convert the collected 3D topography data into a matrix form, and determine the size of the matrix. The initial 3D topography is as follows Figure 4 shown.

[0072] Step 2, gradually extend the matrix data in step 1, the schematic diagram of the extension is as follows image 3 As shown, the 3D shape data after continuation are as follows: Figure 5 Shown:

[0073] Step 21, record the workpiece surface shape data after ultra-precision machining as A 0(x,y) , where x, y are the sampling points of the row and column of the workpiece surface shape data after ultra-precision machining, (x=1,2,3,...,M; y=1,2,3,...,N) ;

[0074] Step 22, for A 0(x,y) Take its lower boundary as the axis, perform mirror flip, and compare the flipped data with A 0...

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Abstract

The invention discloses a spatial frequency identification method based on the two-dimensional variational mode decomposition of the processed surface; it proposes to preprocess the collected three-dimensional shape data by using mirror image continuation and self-convolution Hanning window. Then, the two-dimensional variational mode decomposition method is used to decompose the surface topography spatial frequency error. In addition, the particle swarm annealing optimization algorithm is used to optimize the two parameters that have the greatest impact on the decomposition results in BVMD: the penalty factor α and the number of decomposition layers K; through the analysis of the actual processed surface, the discrete wavelet decomposition and the BEMD algorithm are compared. Using mode mixing as an index, the advantages and applicability of the algorithm in this paper are verified; the present invention proposes a spatial frequency identification method based on two-dimensional variational mode decomposition of ultra-precision machining surface topography; solves the problem of existing decomposition The problems of modal mixing and large reconstruction errors in the method are beneficial to effectively solve the problems of incomplete spatial frequency decomposition of ultra-precision machining surfaces and signal distortion caused by decomposition.

Description

technical field [0001] The present invention relates to the field of ultra-precision machining, in particular to a spatial frequency identification method based on two-dimensional variational mode decomposition of a machined surface. Background technique [0002] Ultra-precision machining is the main means of processing optical components. Taking single-point diamond fly-cutting machining as an example, factors such as machine tool spindle swing, tool vibration, hydraulic and air flotation system pressure fluctuations, and environmental disturbances will cause different spatial frequency bands on the surface of the workpiece to be machined. Appearance error. In the field of optical research, the spatial frequency error of the surface of optical components seriously affects its optical performance. High-frequency errors affect the scattering loss of optical components and film damage performance; medium-frequency errors cause small-angle scattering of light; low-frequency er...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06K9/00G06K9/62G06F17/14G06F17/15
CPCG06F17/141G06F17/15G06F2218/08G06F18/24155
Inventor 李星占高炜祥冯艳冰李加胜魏巍陈刚利
Owner INST OF MACHINERY MFG TECH CHINA ACAD OF ENG PHYSICS
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