ЗАДАЧА О ПРОДОЛЬНЫХ КОЛЕБАНИЯХ СТЕРЖНЯ С ДИНАМИЧЕСКИМИ ГРАНИЧНЫМИ УСЛОВИЯМИ

Бейлин Александр Борисович; A.B. Beylin; Пулькина Людмила Степановна; L.S. Pulkina

doi:10.18287/2541-7525-2014-20-3-9-19

TASK ON LONGITUDINAL VIBRATIONS OF A ROD WITH DYNAMIC BOUNDARY CONDITIONS

Authors: Beylin A.¹, Pulkina L.²
Affiliations:
1. Самарский государственный технический университет
2. Самарский государственный университет
Issue: Vol 20, No 3 (2014)
Pages: 9-19
Section: Articles
URL: https://journals.ssau.ru/est/article/view/4553
DOI: https://doi.org/10.18287/2541-7525-2014-20-3-9-19
ID: 4553

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Abstract

In this paper, one-dimensional longitudinal vibration of a solid rod ﬁxed at the ends by means of local masses and springs is studied. As a mathematical model we use Rayleigh rod. The existence and uniqueness of a generalized solution are proved.