CONTRIBUTIONS TO THE APPROXIMATION WITH POLYNOMIAL FUNCTIONS OF MATERIAL SYSTEMS VIBRATIONS. PART I: THEORETICAL CONSIDERATIONS ON THE REAL MECHANICAL SYSTEM

Dorin IONIȚA, Mariana ARGHIR

Abstract


Abstract: The paper presents the approximation of the graphic representations of the measured vibrations for a truck platform, through 10th degree polynomial functions. The approximation by interpolating Lagrange within four distinct measuring points is applied, using the Vandermonde matrix at each analyzed point. Approximation leads to truthful results, so it can be considered valid for the application of vibration analysis of material systems.

Key words: mechanical vibrations, 10th degree polynomial functions, mathematical approximation.


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References


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Octavian AGRATINI, Ioana CHIOREAN, Gheorghe Coman, Radu TRÂMBIȚAȘ, Analizță numerică și teoria aproximării, vol. I, Presa Universitară Clujeană, 2002, coordonatori D.D. STANCIU, Gh. COMAN;

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Andrei Octavian TRITEAN, Contribuții la studiul experimental asupra poluării sonore în transporturi, Raport de cercetare III, Sept. 2014.


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