Dynamic Analysis of Functionally Graded Timoshenko Beams in Thermal Environment Using a Higher-Order Hierarchical Beam Element
Joint Authors
Nguyen, Dinh Kien
Bui, Van Tuyen
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-09-20
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
A higher-order finite beam element for free and forced vibration analysis of functionally graded Timoshenko beams in thermal environment is formulated by using hierarchical functions to interpolate the kinematic variables.
The shear strain is constrained to constant to improve the efficiency of the element.
The effect of environmental temperature is taken into account in the element derivation by considering that the material properties are temperature-dependent and the temperature is nonlinear distribution in the beam thickness.
The accuracy of the derived formulation is confirmed by comparing the results obtained in the present work with the published data.
Numerical investigations show that the formulated element is efficient, and it is capable of giving accurate vibration characteristics by a small number of elements.
A parametric study is carried out to highlight the effect of the material inhomogeneity, temperature rise, and loading parameter on the dynamic behaviour of the beams.
The influence of the aspect ratio on the dynamic behaviour of the beam is also examined and highlighted.
American Psychological Association (APA)
Nguyen, Dinh Kien& Bui, Van Tuyen. 2017. Dynamic Analysis of Functionally Graded Timoshenko Beams in Thermal Environment Using a Higher-Order Hierarchical Beam Element. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1191631
Modern Language Association (MLA)
Nguyen, Dinh Kien& Bui, Van Tuyen. Dynamic Analysis of Functionally Graded Timoshenko Beams in Thermal Environment Using a Higher-Order Hierarchical Beam Element. Mathematical Problems in Engineering No. 2017 (2017), pp.1-12.
https://search.emarefa.net/detail/BIM-1191631
American Medical Association (AMA)
Nguyen, Dinh Kien& Bui, Van Tuyen. Dynamic Analysis of Functionally Graded Timoshenko Beams in Thermal Environment Using a Higher-Order Hierarchical Beam Element. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1191631
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1191631