Improving Polynomial Methods of Reconstruction of Functional Dependences in Information-Measuring Systems

Chekushkin, V. V.; Mikheev, K.V.; Panteleev, I. V.

doi:10.1007/s11018-015-0722-2

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“…To improve the efficiency of information and measurement systems (IMS), methods for approximation of functions and numerical differentiation are being improved (Cheney and Kincaid 2013, Chekushkin et al 2015, Korytov et al 2016, Loktionov 2017a). These methods in technical applications are used in solving inverse problems to calculate the non-measurable parameters of the force element of the mechanical structure and the initial conditions that can depend on the external load (Loktionov 2007, Loktionov 2017b.…”

Section: Introductionmentioning

confidence: 99%

Information Measuring System of Numerical Differentiation for the Analysis of Elements of Mechanical Structures

Loktionov¹

2018

JSSCM

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In this paper, the theory of the Lagrange polynomial approximation of a directly non-measurable characteristic of an element of a mechanical structure by means of an information-measuring system of numerical differentiation is refined. It is shown how to obtain the maximal accuracy of approximation on the basis of the theory of inverse problems and the method of reduction of measurements. For a cantilever beam loaded with concentrated force at its free end, a method has been developed for the experimental and calculated determination of the bending moment at the fixed end of the beam. The basis of the method is the procedure for the optimal placement of sensors and transformation of sensor output signals, if the length of the beam and the initial parameters of the elastic line (lateral displacement and the angle of rotation on the support) are not accurate.

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Section: Introductionmentioning

confidence: 99%

Information Measuring System of Numerical Differentiation for the Analysis of Elements of Mechanical Structures

Loktionov¹

2018

JSSCM

View full text Add to dashboard Cite

show abstract

Improving Polynomial Methods of Reconstruction of Functional Dependences in Information-Measuring Systems

Cited by 1 publication

References 1 publication

Information Measuring System of Numerical Differentiation for the Analysis of Elements of Mechanical Structures

Information Measuring System of Numerical Differentiation for the Analysis of Elements of Mechanical Structures

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