DETERMINATION OF THE YOUNG'S MODULUS FOR THIN PLATES AND RODS BY VIBRATING
SYSTEM WITH THE ASSOCIATED MASS 

Krevchik Vladimir Dmitrievich, Doctor of physical and mathematical sciences, professor, dean of the faculty
of physics and mathematics, Penza State University (Penza, 40 Krasnaya str.), physics@pnzgu.ru
Rudin Aleksandr Vasil'evich, Candidate of physical and mathematical sciences, associate professor, sub-department of physics, Penza State University (Penza, 40 Krasnaya str.), physics@pnzgu.ru
Kochkin Sergey Vyacheslavovich, Candidate of engineering sciences, head of innovations and entrepreneurship department, Penza State University (Penza, 40 Krasnaya str.), physics@pnzgu.ru 

531.7; 620.17.081

The article describes and original method and constructive specifications of a measuring apparatus for determination of the Young’s modulus for thin plates and cylindrical rods by the method of measuring the oscillation frequency of the vibrating system with the associated mass, consisting of the sample under investigation and the an additional weight of certain mass. The suggested method the most optimal for realization due to the lack of need of expensive equipment, simplicity of implementation, operability and high precision of own frequencies determination and calculation investigated sample’s modulus of elasticity. The relative error in measuring the modulus of normal elasticity of a typical sample according to the suggested method does not exceed 2,0 %. In order to check the reliability of Young’s modulus determination using the said apparatus the authors conducted calibrating measurement of own oscillations frequencies of the prototypes of certain chemical compound. The obtained values of Young’s modulus for all investigated samples match the tabular values with
up to 4% of accuracy.

methodology, design features, Young's modulus, vibrating system, associated mass, linear dependence, thin plate, cylindrical rod. 

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