A Chebyshev Spectral Method with Null Space Approach for Boundary-Value Problems of Euler-Bernoulli Beam
Joint Authors
Hsu, C. P.
Hung, C. F.
Liao, J. Y.
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-16
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
We proposed a Chebyshev spectral method with a null space approach for investigating the boundary-value problem of a nonprismatic Euler-Bernoulli beam with generalized boundary or interface conditions.
It is shown here that, with few vital improvements, a Chebyshev spectral collocation approach can be systematically applied to modeling nonprismatic Euler-Bernoulli beams with eigenvalue embedded tip-massed boundary conditions as well as the jump conditions that appear at the stepped interfaces.
This study also presents a numerical stable asymptotic modal solution for the higher-order modes of a partially clamped beam and show that the proposed approach validates the robust higher-order modal solutions.
Through a sequence of four increasingly complicated examples, using the proposed approach with higher-order modes, generalized boundary conditions, and interface jump conditions of nonprismatic beams, the results are in excellent agreement with those reported in the literature using various other approaches.
American Psychological Association (APA)
Hsu, C. P.& Hung, C. F.& Liao, J. Y.. 2018. A Chebyshev Spectral Method with Null Space Approach for Boundary-Value Problems of Euler-Bernoulli Beam. Shock and Vibration،Vol. 2018, no. 2018, pp.1-21.
https://search.emarefa.net/detail/BIM-1215113
Modern Language Association (MLA)
Hsu, C. P.…[et al.]. A Chebyshev Spectral Method with Null Space Approach for Boundary-Value Problems of Euler-Bernoulli Beam. Shock and Vibration No. 2018 (2018), pp.1-21.
https://search.emarefa.net/detail/BIM-1215113
American Medical Association (AMA)
Hsu, C. P.& Hung, C. F.& Liao, J. Y.. A Chebyshev Spectral Method with Null Space Approach for Boundary-Value Problems of Euler-Bernoulli Beam. Shock and Vibration. 2018. Vol. 2018, no. 2018, pp.1-21.
https://search.emarefa.net/detail/BIM-1215113
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1215113