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Smart Structures and Systems Volume 19, Number 4, April 2017 , pages 431-439 DOI: https://doi.org/10.12989/sss.2017.19.4.431 |
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A measuring system for determination of a cantilever beam support moment |
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Askold P. Loktionov
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| Abstract | ||
| This investigation is aimed to develop a model of experimental-computation determination of a support moment of a cantilever beam loaded with concentrated force at its end including the optimal choice of coordinates of deflection data points and parameters of transformation of deflection data in case of insufficient accuracy of the assignment of initial parameters (support settlement, angle of rotation of the bearing section) and cantilever beam length. The influence of distribution and characteristics of sensors on the cantilever beam on the accuracy of determining the support moment which improves in the course of transition from the uniform distribution of sensors to optimal non-uniform distribution is shown. On the basis of the theory of inverse problems the method of transformation reduction at numerical differentiation of deflection functions has been studied. For engineering evaluation formulae of uncertainty estimate to determine a support moment of a cantilever beam at predetermined uncertainty of measurements using sensors have been obtained. | ||
| Key Words | ||
| cantilever beam; support moment; inverse problem; numerical differentiation; approximation; sensor; measurement uncertainty; condition number | ||
| Address | ||
| Department of Mechanics and Engineering, Southwest State University, 50 let Octobrya, 94, Kursk, 305040, Russia | ||