Abstract

A two-dimensional dynamic Lagrangian system of a double mathematical pendulum with one special constraint is considered. Configuration spaces for a given constraints (ellipses) are studied. The diagrams of paths and reactions in the course of motion along them are shown. The calculations of the transversal intersection case and in the case of tangency are given.
Original languageEnglish
Article number030004
Pages (from-to)1-7
Number of pages7
JournalAIP Conference Proceedings
Volume1959
Issue number1
DOIs
Publication statusPublished - May 2018

Fingerprint

pendulums
Pendulum
Lagrangian Systems
Motion
ellipses
Configuration Space
intersections
Dynamic Systems
Diagram
Intersection
diagrams
Path
configurations

Scopus subject areas

  • Mathematics(all)

Cite this

@article{b0c9070bf99e4e72802280352236c7c8,
title = "On the motion of one-dimensional double pendulum",
abstract = "A two-dimensional dynamic Lagrangian system of a double mathematical pendulum with one special constraint is considered. Configuration spaces for a given constraints (ellipses) are studied. The diagrams of paths and reactions in the course of motion along them are shown. The calculations of the transversal intersection case and in the case of tangency are given.",
author = "Кальницкий, {Вячеслав Степанович} and Бурьян, {Сергей Николаевич}",
year = "2018",
month = "5",
doi = "https://doi.org/10.1063/1.5034584",
language = "English",
volume = "1959",
pages = "1--7",
journal = "AIP Conference Proceedings",
issn = "0094-243X",
publisher = "American Institute of Physics",
number = "1",

}

TY - JOUR

T1 - On the motion of one-dimensional double pendulum

AU - Кальницкий, Вячеслав Степанович

AU - Бурьян, Сергей Николаевич

PY - 2018/5

Y1 - 2018/5

N2 - A two-dimensional dynamic Lagrangian system of a double mathematical pendulum with one special constraint is considered. Configuration spaces for a given constraints (ellipses) are studied. The diagrams of paths and reactions in the course of motion along them are shown. The calculations of the transversal intersection case and in the case of tangency are given.

AB - A two-dimensional dynamic Lagrangian system of a double mathematical pendulum with one special constraint is considered. Configuration spaces for a given constraints (ellipses) are studied. The diagrams of paths and reactions in the course of motion along them are shown. The calculations of the transversal intersection case and in the case of tangency are given.

U2 - https://doi.org/10.1063/1.5034584

DO - https://doi.org/10.1063/1.5034584

M3 - Article

VL - 1959

SP - 1

EP - 7

JO - AIP Conference Proceedings

JF - AIP Conference Proceedings

SN - 0094-243X

IS - 1

M1 - 030004

ER -