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International Journal of Mechanical Systems Engineering Volume 2 (2016), Article ID 2:IJMSE-119, 8 pages
http://dx.doi.org/10.15344/2455-7412/2016/119
Research Article
Dynamic Behavior of Functionally Graded Beams in Thermal Environment due to a Moving Harmonic Load

Thanh Huong Trinh1, Van Tuyen Bui2, Ngoc Huyen Nguyen2, DinhKien Nguyen3 and Buntara S. Gan1*

1Department of Architecture, College of Engineering, Nihon University, Japan
2Thuy Loi University, 175 Tay Son, Dong Da, Hanoi, Vietnam
3Institute of Mechanics, VAST, 18 Hoang Quoc Viet, Hanoi, Vietnam
Prof. Buntara Sthenly Gan, Department of Architecture, College of Engineering, Nihon University, Kanda Surugadai, 1−8−14, Tokyo 01- 8308, Japan; E-mail: buntara@arch.ce.nihon-u.ac.jp
04 July 2016; 03 October 2016; 05 October 2016
Trinh TH, Bui VT, Nguyen NH, Nguyen D, Gan BS (2016) Dynamic Behavior of Functionally Graded Beams in Thermal Environment due to a Moving Harmonic Load. Int J Mech Syst Eng 2: 119. http://dx.doi.org/10.15344/2455-7412/2016/119

Abstract

This paper investigates the dynamic behavior of functionally graded beam in the thermal environment due to a moving harmonic load. The material properties are assumed to be graded in the thickness direction by a power-law function, and they are considered to be temperature dependent. Two types of temperature distribution, namely uniform and nonlinear temperature rises, are considered. Equations of motion based on Euler-Bernoulli beam theoryare derived from Hamilton’s principle and they are solved by a simple finite element formulation in combination with Newmark time-integration procedure. Numerical results show that the dynamic deflection and dynamic amplification factor is decreased with increasing the temperature rise, and the decreasein the uniform temperature rise is more significant that by the nonlinear temperature rise. The excitation frequency plays an important role in the dynamic behavior of the beams, and the frequency at which resonant phenomenon can occur depends on the temperature. A parametric study is carried out to highlight the effect of the temperature rise and moving load parameters on the dynamic behavior of the beams.