NDLI: Dual variables system analysis for Euler beam

Content Provider	IEEE Xplore Digital Library
Author	Shiwei Guo Jianhui Lin
Copyright Year	2011
Description	Author affiliation: Emei Campus, Southwest Jiaotong University, Emei, China (Shiwei Guo) \|\| Traction Power State Key Laboratory, Southwest Jiaotong University, Chengdu, China (Jianhui Lin)
Abstract	Regarding displacement and internal force as dual variables, Euler beam problems can be steered to dual variables system. Based on eigenvalue problems of Hamiltonian dual equation of Euler beam, eigenvector expansion method and modal expansion method of Euler beam are deduced, and the unification of elastic wave problems and vibration problems is revealed. According to transfer form solution of Hamiltonian dual equation of Euler beam, equivalent stiffness and equivalent flexibility of beam end are proposed, elemental stiffness equation and the shape functions are inferred, and boundary integral equation and fundamental solutions are derived. In dual variables system, dynamic characteristics of elastic beam are more obvious, the analysis and calculation of beam system are intuitional and simple, and the intrinsic relationships among the analysis and solving methods of elastic beam are embodied profoundly.
Starting Page	3434
Ending Page	3437
File Size	355794
Page Count	4
File Format	PDF
ISBN	9781424481620
e-ISBN	9781424481651
DOI	10.1109/ICECENG.2011.6058482
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-09-16
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Euler beam Educational institutions Finite element methods Dual variables system Modal expansion method Equations Vibrations Finite element method Presses Transfer matrix method Mathematical model Eigenvector expansion method Boundary element method
Content Type	Text
Resource Type	Article

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