scholarly journals Displacement Response Reconstruction of Slender Flexible Structures Based on Cubic Spline Fitting Method

2019 ◽  
Vol 33 (2) ◽  
pp. 226-236
Author(s):  
Qing-hua Han ◽  
Ye-xuan Ma ◽  
Xin-xin Feng ◽  
Wan-hai Xu
Keyword(s):  
Flexible Structures ◽  
Cubic Spline ◽  
Displacement Response ◽  
Spline Fitting ◽  
Fitting Method ◽  
Response Reconstruction ◽  
Cubic Spline Fitting

Efficient 4D shape completion from sparse samples via cubic spline fitting in linear rotation-invariant space

2019 ◽  
Vol 82 ◽  
pp. 129-139 ◽  
Author(s):  
Qing Xia ◽  
Chengju Chen ◽  
Jiarui Liu ◽  
Shuai Li ◽  
Aimin Hao ◽  
...  
Keyword(s):  
Cubic Spline ◽  
Invariant Space ◽  
Rotation Invariant ◽  
Spline Fitting ◽  
Shape Completion ◽  
Sparse Samples ◽  
Fitting In ◽  
Cubic Spline Fitting

Cubic spline fitting using data dependent triangulations

1990 ◽  
Vol 7 (1-4) ◽  
pp. 293-301 ◽  
Author(s):  
Ewald Quak ◽  
Larry L. Schumaker
Keyword(s):  
Cubic Spline ◽  
Spline Fitting ◽  
Using Data ◽  
Cubic Spline Fitting

Research on Non-Circular Gear Hobbing Simulation Based on Piecewise Cubic Spline Fitting

2014 ◽  
Vol 620 ◽  
pp. 357-362 ◽  
Author(s):  
Da Zhu Li ◽  
Lian Xia ◽  
You Yu Liu ◽  
Jiang Han
Keyword(s):  
Cubic Spline ◽  
Parameters Optimization ◽  
Secondary Development ◽  
Design Parameters ◽  
Three Dimension ◽  
Spline Fitting ◽  
Gear Hobbing ◽  
Polar Coordinate ◽  
Pitch Curve ◽  
Cubic Spline Fitting

In order to solve the hobbing machining data calculation and hobbing simulation of non-circular gear with various shapes, the piecewise cubic spline fit method has been adopted to unify the polar coordinate expression of non-circular pitch curve. The method to generate hobbing machining data was deduced based on hobbing linkage mathematical model, and the machining data error caused by piecewise cubic spline fitting method was analyzed. The three-dimension software has been used as simulation tool to make secondary development, and then non-circular gear hobbing simulation was realized based on machining data, which can verify the validity of machining data and the relevant design drawbacks of non-circular gear. The work of this paper lay a good foundation for design parameters optimization and hobbing of non-circular gear.

Chromatic Confocal Displacement Measurment Based on Correlation Algorithm

2013 ◽  
Vol 446-447 ◽  
pp. 909-914
Author(s):  
Chun Hui Niu ◽  
Yong Lv
Keyword(s):  
Measurement System ◽  
Smoothing Spline ◽  
Peak Wavelength ◽  
Linear Fitting ◽  
Correlation Curve ◽  
Correlation Algorithm ◽  
Spline Fitting ◽  
Fitting Method ◽  
Spectrum Curve ◽  
Confocal Technique

Chromatic confocal technique application in displacement measurement is studied theoretically and experimentally. a set of refractive lenses are designed and a measurement system is established. Correlation fitting method is proposed to fit spectrum curve and find peak wavelength. Results with use of correlation fitting method are compared with Gaussian and smoothing spline fitting methods. It indicate that correlation fitting method have higher extracting accuracy of peak wavelength and smaller RMSE of linear fitting due to narrower and smoother correlation curve.

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