Analysis of Dynamic Elastic Stability of Beams under Travelling Vertical Follower Load Systems by the Linearized Finite Displacement Theory
Memoirs of the Faculty of Engineering, Yamaguchi University Volume 34 Issue 1
Page 73-84
published_at 1983
Title
連行した従動荷重を受ける梁の動的弾性安定解析 : 初期応力を考慮した場合
Analysis of Dynamic Elastic Stability of Beams under Travelling Vertical Follower Load Systems by the Linearized Finite Displacement Theory
Creators
Aida Tadayoshi
Creators
Nakayama Takaaki
Creators
Hirai Toshifumi
Source Identifiers
Dynamic stability of flexible beams, of which the deformation is comparatively large, under travelling vertical follower load systems is investigated by applying the fundamental equation, governing the dynamic elastic stability, which is derived by using the linearized finite displacement theory. Firstly, it is shown that the fundamental equation of beams under the above travelling load systems becomes Hill's equation and that parametrically excited unstable coupled vibration occurs. The boundary frequency equations of simple parametric resonance are obtained by Bolotin's method and stability maps of a simply supported beam are given, with account taken of the effects of load mass and damping. Lastly, the behaviors of vibration of the beam in the vicinity of boundary of a main unstable region are estimated by numerical integration.
Languages
jpn
Resource Type
departmental bulletin paper
Publishers
山口大学工学部
Date Issued
1983
File Version
Version of Record
Access Rights
open access
Relations
[ISSN]0372-7661
[NCID]AN00244228
Schools
工学部