Numerical evaluation of periodic transverse vibration of elastic connecting rods in a six-link mechanism

Application of the substructure method and d'Alembert's principle to deriving the differential equation of motion of a six-link mechanism with two elastic connecting rods is presented. In the case of stationary motion, the generalized Ritz's method has been applied to obtain system...

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Main Authors: Nguyen Van Khang, Vu Van Khiem
Format: Article
Language:English
Published: Publishing House for Science and Technology 1997-09-01
Series:Vietnam Journal of Mechanics
Online Access:https://vjs.ac.vn/index.php/vjmech/article/view/10058
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author Nguyen Van Khang
Vu Van Khiem
author_facet Nguyen Van Khang
Vu Van Khiem
author_sort Nguyen Van Khang
collection DOAJ
description Application of the substructure method and d'Alembert's principle to deriving the differential equation of motion of a six-link mechanism with two elastic connecting rods is presented. In the case of stationary motion, the generalized Ritz's method has been applied to obtain system of linear differential equations with periodic coefficients. We have written computer programs to check conditions of dynamic stability and to find periodic solutions of the obtained equations. Numerical examples are given and from which the effect of elastic factors on articulation reactions is evaluated.
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issn 0866-7136
2815-5882
language English
publishDate 1997-09-01
publisher Publishing House for Science and Technology
record_format Article
series Vietnam Journal of Mechanics
spelling doaj-art-9b12001277c44c80a8ac5ccf0d986dee2025-08-20T02:11:15ZengPublishing House for Science and TechnologyVietnam Journal of Mechanics0866-71362815-58821997-09-0119310.15625/0866-7136/10058Numerical evaluation of periodic transverse vibration of elastic connecting rods in a six-link mechanismNguyen Van KhangVu Van Khiem Application of the substructure method and d'Alembert's principle to deriving the differential equation of motion of a six-link mechanism with two elastic connecting rods is presented. In the case of stationary motion, the generalized Ritz's method has been applied to obtain system of linear differential equations with periodic coefficients. We have written computer programs to check conditions of dynamic stability and to find periodic solutions of the obtained equations. Numerical examples are given and from which the effect of elastic factors on articulation reactions is evaluated. https://vjs.ac.vn/index.php/vjmech/article/view/10058
spellingShingle Nguyen Van Khang
Vu Van Khiem
Numerical evaluation of periodic transverse vibration of elastic connecting rods in a six-link mechanism
Vietnam Journal of Mechanics
title Numerical evaluation of periodic transverse vibration of elastic connecting rods in a six-link mechanism
title_full Numerical evaluation of periodic transverse vibration of elastic connecting rods in a six-link mechanism
title_fullStr Numerical evaluation of periodic transverse vibration of elastic connecting rods in a six-link mechanism
title_full_unstemmed Numerical evaluation of periodic transverse vibration of elastic connecting rods in a six-link mechanism
title_short Numerical evaluation of periodic transverse vibration of elastic connecting rods in a six-link mechanism
title_sort numerical evaluation of periodic transverse vibration of elastic connecting rods in a six link mechanism
url https://vjs.ac.vn/index.php/vjmech/article/view/10058
work_keys_str_mv AT nguyenvankhang numericalevaluationofperiodictransversevibrationofelasticconnectingrodsinasixlinkmechanism
AT vuvankhiem numericalevaluationofperiodictransversevibrationofelasticconnectingrodsinasixlinkmechanism