Geometrically continuous piecewise Chebyshevian NU(R)BS
Sign Up to like & getrecommendations! Published in 2020 at "BIT Numerical Mathematics"
DOI: 10.1007/s10543-019-00795-y
Abstract: By piecewise Chebyshevian splines we mean splines with pieces taken from different Extended Chebyshev spaces all of the same dimension, and with connection matrices at the knots. Within this very large and crucial class of… read more here.
Keywords: continuous piecewise; piecewise chebyshevian; piecewise; spline ... See more keywords
Quartic-trigonometric tension B-spline Galerkin method for the solution of the advection-diffusion equation
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DOI: 10.1007/s40314-021-01526-2
Abstract: In this work, the numerical solutions of advection-diffusion equation are investigated through the finite element method. The quartic-trigonometric tension (QTT) B-spline which presents advantages over the well-known existing B-splines is adapted as the base of… read more here.
Keywords: quartic trigonometric; spline; method; equation ... See more keywords
S-splines: A simple surface solution for IGA and CAD
Sign Up to like & getrecommendations! Published in 2019 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2019.03.035
Abstract: Abstract This paper introduces S-spline curves and surfaces. Local refinement of S-spline surfaces is much simpler to understand and to implement than T-spline refinement. Furthermore, no unwanted control points arise in S-spline refinement, unlike T-spline… read more here.
Keywords: surface solution; spline refinement; simple surface; refinement ... See more keywords
A general framework for motion design of the follower in cam mechanisms by using non-uniform rational B-spline
Sign Up to like & getrecommendations! Published in 2019 at "Mechanism and Machine Theory"
DOI: 10.1016/j.mechmachtheory.2019.03.029
Abstract: Abstract This paper presents a general framework for the motion design of cam mechanisms using Non-Uniform Rational B-Spline (NURBS). The follower motion is described by the NURBS function. To establish motion curves, the system of… read more here.
Keywords: framework motion; spline; general framework; cam mechanisms ... See more keywords
Hierarchical B-spline complexes of discrete differential forms
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DOI: 10.1093/imanum/dry077
Abstract: In this paper we introduce the hierarchical B-spline complex of discrete differential forms for arbitrary spatial dimension. This complex may be applied to the adaptive isogeometric solution of problems arising in electromagnetics and fluid mechanics.… read more here.
Keywords: differential forms; spline complex; spline; spline complexes ... See more keywords
An Improved Empirical Mode Decomposition Based on Adaptive Weighted Rational Quartic Spline for Rolling Bearing Fault Diagnosis
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Access"
DOI: 10.1109/access.2020.3006030
Abstract: As a powerful time-frequency signal analysis technique, empirical mode decomposition (EMD) has been commonly applied in fault diagnosis. However, the cubic spline-curve often causes outstanding over and undershoot problem, which significantly limits the performance of… read more here.
Keywords: weighted rational; spline; fault; fault diagnosis ... See more keywords
The cubic trigonometric automatic interpolation spline
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DOI: 10.1109/jas.2017.7510442
Abstract: A class of cubic trigonometric interpolation spline curves with two parameters is presented in this paper. The spline curves can automatically interpolate the given data points and become C ² 2 interpolation curves without solving… read more here.
Keywords: spline curves; cubic trigonometric; spline; interpolation ... See more keywords
Bending Angle Prediction Model Based on BPNN-Spline in Air Bending Springback Process
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Problems in Engineering"
DOI: 10.1155/2017/7834621
Abstract: In order to rapidly and accurately predict the springback bending angle in V-die air bending process, a springback bending angle prediction model on the combination of error back propagation neural network and spline function (BPNN-Spline)… read more here.
Keywords: bending angle; angle prediction; springback; bpnn spline ... See more keywords
Adaptation of the Novel Cubic B-Spline Algorithm for Dealing with Conformable Systems of Differential Boundary Value Problems concerning Two Points and Two Fractional Parameters
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Function Spaces"
DOI: 10.1155/2023/5322092
Abstract: Recently, conformable calculus has appeared in many abstract uses in mathematics and several practical applications in engineering and science. In addition, many methods and numerical algorithms have been adapted to it. In this paper, we… read more here.
Keywords: spline; conformable systems; systems differential; differential boundary ... See more keywords
A novel strategy using optimized MOMED and B-spline based envelope-derivative operator for compound fault detection of the rolling bearing
Sign Up to like & getrecommendations! Published in 2022 at "Structural Health Monitoring"
DOI: 10.1177/14759217211062826
Abstract: The bearing regularly suffers from compound faults in real-world working conditions. In comparison to the single-fault feature extraction, the compound fault diagnosis is more difficult to achieve. This paper suggests an alternative signal processing strategy… read more here.
Keywords: compound fault; operator; spline; fault detection ... See more keywords
A quadratic trigonometric spline for curve modeling
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DOI: 10.1371/journal.pone.0208015
Abstract: An imperative curve modeling technique has been established with a view to its applications in various disciplines of science, engineering and design. It is a new spline method using piecewise quadratic trigonometric functions. It possesses… read more here.
Keywords: quadratic trigonometric; trigonometric spline; spline; spline curve ... See more keywords