A Semianalytical Method for Nonlinear Vibration of Euler-Bernoulli Beams with General Boundary Conditions
Joint Authors
Yang, Jie
Peng, Jian-She
Liu, Yan
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-07-21
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
This paper presents a new semianalytical approach for geometrically nonlinear vibration analysis of Euler-Bernoulli beams with different boundary conditions.
The method makes use of Linstedt-Poincaré perturbation technique to transform the nonlinear governing equations into a linear differential equation system, whose solutions are then sought through the use of differential quadrature approximation in space domain and an analytical series expansion in time domain.
Validation of the present method is conducted in numerical examples through direct comparisons with existing solutions, showing that the proposed semianalytical method has excellent convergence and can give very accurate results at a long time interval.
American Psychological Association (APA)
Peng, Jian-She& Liu, Yan& Yang, Jie. 2010. A Semianalytical Method for Nonlinear Vibration of Euler-Bernoulli Beams with General Boundary Conditions. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-17.
https://search.emarefa.net/detail/BIM-483365
Modern Language Association (MLA)
Peng, Jian-She…[et al.]. A Semianalytical Method for Nonlinear Vibration of Euler-Bernoulli Beams with General Boundary Conditions. Mathematical Problems in Engineering No. 2010 (2010), pp.1-17.
https://search.emarefa.net/detail/BIM-483365
American Medical Association (AMA)
Peng, Jian-She& Liu, Yan& Yang, Jie. A Semianalytical Method for Nonlinear Vibration of Euler-Bernoulli Beams with General Boundary Conditions. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-17.
https://search.emarefa.net/detail/BIM-483365
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-483365