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SOURCE:   Almanac of Modern Science and Education. Tambov: Gramota, 2014. № 7. P. 71-76. ISSN 1993-5552.
SCIENTIFIC AREA: Physical-Mathematical Sciences
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INFLUENCE OF KELVIN BODY HORIZONTAL DEFORMATIONS ON CHARACTER OF DISC MOTION

Kal'mova Mariya Aleksandrovna
Samara State University of Architecture and Civil Engineering


Abstract. This paper analyzes the influence of rheological beam material on the dynamics of the moving disk. The hybrid system of differential equations describing the motion of the "disc, rheological beam" system and consisting of the integrodifferential equation of the beam longitudinal oscillations and Lagrange equations of the first kind determining the disc motion is composed. The regimes of uniform and uniformly accelerated disc motion are considered.
Key words and phrases: неголономная связь, функция Дирака, ядро релаксации, преобразование Лапласа, метод Фурье, реологическая балка, nonholonomic constraint, Dirac delta function, relaxation kernel, Laplace transform, Fourier method, rheological beam.
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