Free Vibration Analyses of FGM Thin Plates by Isogeometric Analysis Based on Classical Plate Theory and Physical Neutral Surface
Joint Authors
Liu, Peng
Yin, Shuohui
Yu, Tiantang
Source
Advances in Mechanical Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-19
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The isogeometric analysis with nonuniform rational B-spline (NURBS) based on the classical plate theory (CPT) is developed for free vibration analyses of functionally graded material (FGM) thin plates.
The objective of this work is to provide an efficient and accurate numerical simulation approach for the nonhomogeneous thin plates and shells.
Higher order basis functions can be easily obtained in IGA, thus the formulation of CPT based on the IGA can be simplified.
For the FGM thin plates, material property gradient in the thickness direction is unsymmetrical about the midplane, so effects of midplane displacements cannot be ignored, whereas the CPT neglects midplane displacements.
To eliminate the effects of midplane displacements without introducing new unknown variables, the physical neutral surface is introduced into the CPT.
The approximation of the deflection field and the geometric description are performed by using the NURBS basis functions.
Compared with the first-order shear deformation theory, the present method has lower memory consumption and higher efficiency.
Several numerical results show that the present method yields highly accurate solutions.
American Psychological Association (APA)
Yin, Shuohui& Yu, Tiantang& Liu, Peng. 2013. Free Vibration Analyses of FGM Thin Plates by Isogeometric Analysis Based on Classical Plate Theory and Physical Neutral Surface. Advances in Mechanical Engineering،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-486866
Modern Language Association (MLA)
Yin, Shuohui…[et al.]. Free Vibration Analyses of FGM Thin Plates by Isogeometric Analysis Based on Classical Plate Theory and Physical Neutral Surface. Advances in Mechanical Engineering No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-486866
American Medical Association (AMA)
Yin, Shuohui& Yu, Tiantang& Liu, Peng. Free Vibration Analyses of FGM Thin Plates by Isogeometric Analysis Based on Classical Plate Theory and Physical Neutral Surface. Advances in Mechanical Engineering. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-486866
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-486866