A MODEL OF A EQUIPPED ROD WITH DISTRIBUTED PARAMETERS

Authors

  • V.E. Eremyants Institute of Geomechanics and Subsoil Development of the National Academy of Sciences of the Kyrgyz Republic Author
  • I.S. Drozdova Institute of Geomechanics and Subsoil Development of the National Academy of Sciences of the Kyrgyz Republic Author

Keywords:

equipped rod, distributed parameters, frequency spectrum, vibration modes, wave equations, longitudinal impact, dynamic processes

Abstract

This article proposes a mathematical model of a periodically structured rod with distributed parameters, developed to simplify dynamic calculations for large numbers of attached concentrated masses. The authors derive a differential equation for the system's motion and obtain analytical relationships for determining two spectra of natural frequencies and longitudinal vibration modes. Using the example of a rod's longitudinal impact on a rigid barrier, they demonstrate a method for finding the parameters of a general solution from initial conditions and evaluate the convergence of wave series for calculating internal forces.

References

1. Еремянц В.Э., Муктарбекова Г.М. Модель оснащенного стержня с конечным числом степеней свободы. Статья в настоящем сборнике.

2. Бидерман В.Л. Прикладная теория механических колебаний. – М.: Высш. школа, 1972. – 412 с.

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Published

2026-08-26

Issue

Vol. 16 No. 2 (2012): СОВРЕМЕННЫЕ ПРОБЛЕМЫ МЕХАНИКИ СПЛОШНЫХ СРЕД

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Статьи

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