A. B. Beylin, L. S. Pulkina, “Task on longitudinal vibrations of a rod with dynamic boundary conditions”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2014, no. 3(114), 9

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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2014, Issue 3(114), Pages 9–19 (Mi vsgu347)

This article is cited in 12 scientific papers (total in 12 papers)

Mathematics

Task on longitudinal vibrations of a rod with dynamic boundary conditions

A. B. Beylin^a, L. S. Pulkina^b

^a Samara State Technical University, Samara, 443100, Russian Federation
^b Samara State University, Samara, 443011, Russian Federation

Full-text PDF (257 kB) Citations (12)

(published under the terms of the Creative Commons Attribution 4.0 International License)

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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.

Keywords: Rayleigh rod, dynamic boundary conditions, generalized solution.

Received: 05.12.2013
Revised: 05.12.2013

Document Type: Article

UDC: 517.95, 624.07

Language: Russian

Citation: A. B. Beylin, L. S. Pulkina, “Task on longitudinal vibrations of a rod with dynamic boundary conditions”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2014, no. 3(114), 9–19

Citation in format AMSBIB

\Bibitem{BeyPul14}

\by A.~B.~Beylin, L.~S.~Pulkina

\paper Task on longitudinal vibrations of a rod with dynamic boundary conditions

\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya

\yr 2014

\issue 3(114)

\pages 9--19

\mathnet{http://mi.mathnet.ru/vsgu347}

Linking options:

https://www.mathnet.ru/eng/vsgu347

https://www.mathnet.ru/eng/vsgu/y2014/i3/p9

This publication is cited in the following 12 articles:

A. B. Beilin, L. S. Pulkina, “Zadacha s dinamicheskim kraevym usloviem dlya odnomernogo giperbolicheskogo uravneniya”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 24:3 (2020), 407–423
V. A. Kirichek, “O gladkosti resheniya odnoi nelokalnoi zadachi dlya giperbolicheskogo uravneniya”, Vestn. SamU. Estestvennonauchn. ser., 26:2 (2020), 15–22
A. V. Dyuzheva, “Zadacha s integralnym usloviem I roda dlya uravneniya chetvertogo poryadka”, Vestn. SamU. Estestvennonauchn. ser., 25:1 (2019), 21–31
A. V. Bogatov, “Zadacha s integralnym usloviem dlya odnomernogo giperbolicheskogo uravneniya”, Vestn. SamU. Estestvennonauchn. ser., 24:4 (2018), 7–12
A. B. Beilin, L. S. Pulkina, “Zadacha o kolebaniyakh sterzhnya s neizvestnym usloviem ego zakrepleniya na chasti granitsy”, Vestn. SamU. Estestvennonauchn. ser., 2017, no. 2, 7–14
V. A. Kirichek, L. S. Pulkina, “Zadacha s dinamicheskimi granichnymi usloviyami dlya giperbolicheskogo uravneniya”, Vestn. SamU. Estestvennonauchn. ser., 2017, no. 1, 21–27
A. B. Beilin, “O zadache upravleniya smescheniem odnogo iz kontsov tonkogo sterzhnya”, Vestn. SamU. Estestvennonauchn. ser., 2017, no. 3, 12–17
V. A. Kirichek, “Zadacha s nelokalnym granichnym usloviem dlya giperbolicheskogo uravneniya”, Vestn. SamU. Estestvennonauchn. ser., 2017, no. 3, 26–33
A. B. Beilin, L. S. Pulkina, “Zadacha s nelokalnymi dinamicheskimi usloviyami dlya uravneniya kolebanii tolstogo sterzhnya”, Vestn. SamU. Estestvennonauchn. ser., 2017, no. 4, 7–18
A. B. Beilin, “Zadacha o kolebaniyakh uprugo zakreplennogo nagruzhennogo sterzhnya”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 20:2 (2016), 249–258
L. S. Pulkina, “A problem with dynamic nonlocal condition for pseudohyperbolic equation”, Russian Math. (Iz. VUZ), 60:9 (2016), 38–45
A. B. Beilin, L. S. Pulkina, “Zadacha o kolebaniyakh sterzhnya s nelineinym zatukhaniem vtorogo poryadka”, Vestn. SamGU. Estestvennonauchn. ser., 2015, no. 3(125), 9–20

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Вестник Самарского государственного университета. Естественнонаучная серия

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