NDLI: Spline finite point method for calculation natural frequency of arch structures

Content Provider	IEEE Xplore Digital Library
Author	Kang Ting Xu Jin-yu
Copyright Year	2011
Description	Author affiliation: The Engineering Institute, Air Force Engineering University, Xi'an 710038, China (Kang Ting; Xu Jin-yu)
Abstract	A spline finite point method is presented for studying on the dynamic behavior of arch structures. The displacement mode shape function of the free vibration of arch structures is simulated with a linear combination of the cubic B spline functions. Based on the curved bar deformation theory, the free vibration frequency equation of arch structures is derived according to principle of minimum potential energy. The calculation program was compiled with MATLAB language. The spline finite point method, verified by examples, is proved to be efficient, accurate, and simple in form. Moreover, the affection of the arch span and the radius thickness ration to the natural frequency coefficient is analyzed. The calculation curves of the smallest longitudinal and the lateral vibration frequency are obtained through which the axial deformation of the arch is suggested to consider and meanwhile its application scope is pointed out.
Starting Page	5450
Ending Page	5453
File Size	305510
Page Count	4
File Format	PDF
ISBN	9781457702891
e-ISBN	9781457702907
DOI	10.1109/ICETCE.2011.5776083
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-04-22
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Vibrations Potential energy Natural frequency Spline finite point method Arch structure Dynamic behavior Mathematical model MATLAB Spline Monitoring Equations
Content Type	Text
Resource Type	Article

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