Mathematical modeling of tape deformation under its dynamic loading

Authors

  • M. V. Danilov Kalashnikov ISTU
  • Д. Р. Шишов Kalashnikov ISTU
  • V. E. Lyalin Kalashnikov ISTU

Keywords:

perfectly elastic tape, tape deformation, dynamics of the tape

Abstract

The precise solution of two-dimensional plane problem of dynamic theory of elasticity has been given for a thin plate with two free and two loaded edges. The influence of geometrical and mechanical parameters of the tape on the high-frequency oscillations is investigated. Formulas for establishing the vibration frequency band have been derived.

Author Biographies

M. V. Danilov, Kalashnikov ISTU

PhD in Engineering, DSc Applicant

Д. Р. Шишов, Kalashnikov ISTU

Post-graduate

V. E. Lyalin, Kalashnikov ISTU

DSc in Engineering, Doctor of Economics, Doctor of Geology, Professor

References

Ландау Л. Д., Лифшиц Е. М. Теория упругости. – Изд. 5-е. – М. : Физматлит, 2003. – 264 с.

Там же.

Степанов В. В. Курс дифференциальных уравнений. – М. : Физматлит, 1959. – 468 с.

Краснов М. А., Киселев А. И., Макаренко Г. И. Функции комплексного переменного. Операционное исчисление. – М. : Наука, 1971. – 256 с.

Downloads

Published

07.07.2015

How to Cite

Danilov М. В., Шишов, Д. Р., & Lyalin В. Е. (2015). Mathematical modeling of tape deformation under its dynamic loading. Intellekt. Sist. Proizv., 13(1), 102–107. Retrieved from https://izdat.istu.ru/index.php/ISM/article/view/1935

Issue

Vol. 13 No. 1 (2015)

Section

Device engineering, metrology, measuring equipment and systems