TY - JOUR
T1 - Analysis of stationary impact vibration in continuous system with asymmetrical hysteresis loop characteristics
AU - Aoki, Shigeru
AU - Sakai, Yasunori
N1 - Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2010/7
Y1 - 2010/7
N2 - This paper deals with impact vibration in beam system excited by periodic displacement with cosine function. The analytical model is steady impact vibration for a cantilever beam. The beam collides elastically to clamped steel of unsymmetric faces at an arbitrary point of span. Tried to analyze by applying the Fourier series method for this system with assuming force of restitution has a triangle hysteresis loop characteristics. For verification of the analytical method, experiments are performed. The analytical results are in a fairly good agreement with the experimental ones. After that tried to analyze the infinitesimal stabilities for the approximate solution by Fourier series method by applying variation equation. As the result, experimental result appear at the stable solution region in the analytical solution.
AB - This paper deals with impact vibration in beam system excited by periodic displacement with cosine function. The analytical model is steady impact vibration for a cantilever beam. The beam collides elastically to clamped steel of unsymmetric faces at an arbitrary point of span. Tried to analyze by applying the Fourier series method for this system with assuming force of restitution has a triangle hysteresis loop characteristics. For verification of the analytical method, experiments are performed. The analytical results are in a fairly good agreement with the experimental ones. After that tried to analyze the infinitesimal stabilities for the approximate solution by Fourier series method by applying variation equation. As the result, experimental result appear at the stable solution region in the analytical solution.
KW - Approximate solution
KW - Collision vibration
KW - Forced vibration
KW - Hysteresis damping
KW - Method of vibration analysis
KW - Nonlinear vibration
KW - Stability
KW - Steady-State response
KW - Vibration of continuous system
UR - http://www.scopus.com/inward/record.url?scp=77957297322&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77957297322&partnerID=8YFLogxK
U2 - 10.1299/kikaic.76.1692
DO - 10.1299/kikaic.76.1692
M3 - Article
AN - SCOPUS:77957297322
SN - 0387-5024
VL - 76
SP - 1692
EP - 1699
JO - Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
JF - Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
IS - 767
ER -