Active Control Effect of Mechanical Vibration (Ⅰ) : Investigation for a Case of a Cantilever Beam System

URI http://harp.lib.hiroshima-u.ac.jp/it-hiroshima/metadata/4300
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Title
Active Control Effect of Mechanical Vibration (Ⅰ) : Investigation for a Case of a Cantilever Beam System
Author
氏名 川辺 尚志
ヨミ カワベ ヒサシ
別名 Kawabe Hisashi
氏名 吉田 和信
ヨミ ヨシダ カズノブ
別名 Yoshida Kazunobu
Subject
active control
optimal regulator
material damping
minimal oder observer
lumped parameter modeling
cantilever
anti-vibration
sampling time.
Abstract

With a view to comparing the difference between the vibration suppressing effect by an active control and that by passive (material) damping, the active control of vibrations has been investigated in a sample of a cantilever beam structure with a single sensor and actuator, by constructing a feedback controller incorporating a 16 bit micro-computer PC9801VX21 especially enhanced by a numeric data processor i80287. As the modeling system, a lumped-parameter system is employed on account of reducing the processing time. The dynamic compensator as the system controller, including a minimal order type observer based on Gopinath's method, is designed on the optimal regulator, with the performance index being of the form J(u) =∫∞0(x’Qx +u'Ru)e2σtdt (:Q≧0, R>0). The sampling speed of 3msec is realized by using both C-language and assembly-one. When the feedback gain is set for σ=5, R=1 and Q=block diag [10, 10, 10, 10], the experimental results of a mechanical flexible objective (brass plate (320 x 35 x 4.15 mm3) are as follows: In the freely decaying vibration state, the active control effect increases the vibration damping properties from the damping capacity Q-1=0.004 to the higher damping Q-1ac=0.0798 (=20Q-1), while in the resonant state, the active damping also has the effect of suppressing the resonant amplitude to about 1/12. The pure active anti-vibration effect for the present system corresponds to about 3.3 times the maximum material damping Q-1m=0.023 measured in the practical high damping metal SIA.

Journal Title
広島工業大学研究紀要
Volume
24
Spage
129
Epage
140
Published Date
1990
Publisher
広島工業大学
ISSN
03851672
NCID
AN0021271X
Language
eng
NIIType
Departmental Bulletin Paper
Text Version
出版社版
Old URI
Set
it-hiroshima