Full-Text Search:
Home|About CNKI|User Service|中文
Add to Favorite Get Latest Update

THE GOLDEN SECTION RATIO OF A CLASS OF VIBRATION SYSTEM OF TWO DEGREES OF FREEDOM

ZHU Beibei;SUN Lanning;ZHAO Zhonghu;School of Civil Engineering and Mechanics,Lanzhou University;AVIC Institute of Geotechnical Engineering Co.,Ltd.;College of Engineering,University of Arizona;  
As an important relation of the proportion in the history of mathematics,the golden section relation plays an important role in aesthetics,architecture,and even engineering.This paper studies the gold segmentation effect for a class of vibration system of two degrees of freedom.The free vibration characteristics,and the resonance mechanism of the forced vibration under harmonic loading are analyzed.It is shown that,the ratios of the structure circular frequency to the layer stiffness and mass,and that of the structural amplitudes at two points conform well with the golden section ratio.The structure shows the beauty of harmony in vibration.
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
©CNKI All Rights Reserved