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Experimental Investigation of the Differential Combination Resonance

Research Project

Project/Area Number 08650296
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Dynamics/Control
Research InstitutionOsaka Prefecture University

Principal Investigator

KATAYAMA Tadakazu  Osaka Prefecture University, College of Engineering, Associate Professor, 工学部, 助教授 (70081255)

Co-Investigator(Kenkyū-buntansha) SUGIYAMA Yoshihiko  Osaka Prefecture University, College of Engineering, Professor, 工学部, 教授 (90032268)
Project Period (FY) 1996 – 1997
Project Status Completed (Fiscal Year 1997)
Budget Amount *help
¥1,400,000 (Direct Cost: ¥1,400,000)
Fiscal Year 1997: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1996: ¥900,000 (Direct Cost: ¥900,000)
KeywordsDifferential Combination Resonance / Pulsating Force / Experiment / Generalized Reut Force / Flutter / Elastic Stability / Non-conservative Problem / 一般化ロイト力 / フラッター
Research Abstract

Summed and differential combination resonances, caused in cantilevered columns subjected to a pulsating Reut force, are experimentally investigated. Reut force is realized by impinging an air jet from the nozzle onto the attachment-plate mounted to the column at the free end. Pulsation of the air jet is carried out by means of an electromagnetic valve which is on-off-controlled by the signal from a function generator. The realized wave form is not a complete sinusoidal form. However, the periodicity of force is realized. The test column is a slender plastic plate of length 1000mm, depth 10mm and thickness 2mm. The attachment-plate is made of balsa. To change the direction of the line of action of an applied force, the attachment was covered with materials such as unwoven material for the roughest surface or a glass plate for the smoothest surface. It was confirmed that the direction coefficient was 0.006 for the case of nylon unwoven material and 0.90 for the case of glass plate. The vanishingly small direction coefficient resulted in differential combination resonances between the first and second mode. Summed combination resonance between the first and second modes was observed for the direction coefficient of 0.9. To confirm the type of resonances, experimental responses of the columns in each region were resolved into the first and second modes, using high-pass and low-pass filters with the cutting frequency 2.0Hz. Theoretical predictions of boundaries of parametric resonances are compared with the experimental results. The theory is supported qualitatively by the experiment.

Report

(3 results)
  • 1997 Annual Research Report   Final Research Report Summary
  • 1996 Annual Research Report

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Published: 1996-04-01   Modified: 2016-04-21  

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