CONTRIBUTIONS TO THE APPROXIMATION WITH POLYNOMIAL FUNCTIONS OF MATERIAL SYSTEMS VIBRATIONS. PART II: APPROXIMATION OF REAL VIBRATION ACCELERATIONS

Dorin IONITA, 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. The second part of the work realizes the approximation of the presentation of the vibrational rations of a real system with 10-degree polynomial functions, for four distinct cases of graphic alms.

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


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References


Gheorghe MARINESCU, Analiză numerică, Editura Academiei, R.S. Romania, Bucuresti, 1974ș

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.

Dorin IONIȚĂ, Mariana ARGHIR, Contributions to the Approximation with Polynomial Functions of Material Systems Vibrations. Part I: Theoretical Considerations of Real Material Systems, ACTA TECHNICA NAPOCENSIS, Series: Applied Mathematics, Mechanics, and Engineering, Vol. 63, Issue II, June, 2020, UTPress, UTCN, Cluj-Napoca


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