On the Application of Modified Finite Sine Transform to Structural Mechanics
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-02-25
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The method of modified finite sine transform (MFST) was introduced to solve fourth-order boundary value problems in structural mechanics.
The analytical features and computational aspects of MFST were presented, including integral transforms of the derivatives of functions and the term-by-term differentiation of inverse MFST.
For the simplicity of demonstrating the solution process, the cantilever beam was used in the discussion.
Numerical results for transverse vibration based on the present method were compared and validated with existing results for natural frequencies.
Although the present method is not superior to conventional finite sine transform method in one-dimensional structures, it could be significantly efficient for two-dimensional structures with asymmetric boundary conditions, especially including cantilever plates and other plates with only one free edge or two adjacent free edges.
American Psychological Association (APA)
Zhang, Yuan& Zhang, Sigong. 2019. On the Application of Modified Finite Sine Transform to Structural Mechanics. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1196513
Modern Language Association (MLA)
Zhang, Yuan& Zhang, Sigong. On the Application of Modified Finite Sine Transform to Structural Mechanics. Mathematical Problems in Engineering No. 2019 (2019), pp.1-6.
https://search.emarefa.net/detail/BIM-1196513
American Medical Association (AMA)
Zhang, Yuan& Zhang, Sigong. On the Application of Modified Finite Sine Transform to Structural Mechanics. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1196513
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196513