Numerical results show that the dynamic amplification factor increases by the increase of the temperature rise and the porosity volume fraction. The increase of the dynamic amplification factor by the temperature rise is more significant by the uniform temperature rise and for the beam associated with a higher grading index. | 24 SCIENCE & TECHNOLOGY DEVELOPMENT, Vol 20, 2017 Effect of temperature and porosities on dynamic response of functionally graded beams carrying a moving load Bui Van Tuyen Abstract - The effect of temperature and porosities on the dynamic response of functionally graded beams carrying a moving load is investigated. Uniform and nonlinear temperature distributions in the beam thickness are considered. The material properties are assumed to be temperature dependent and they are graded in the thickness direction by a power-law distribution. A modified rule of mixture, taking the porosities into consideration, is adopted to evaluate the effective material properties. Based on Euler-Bernoulli beam theory, equations of motion are derived and they are solved by a finite element formulation in combination with the Newmark method. Numerical results show that the dynamic amplification factor increases by the increase of the temperature rise and the porosity volume fraction. The increase of the dynamic amplification factor by the temperature rise is more significant by the uniform temperature rise and for the beam associated with a higher grading index. Index Terms-Functionally graded material, porosities, temperature-dependent properties, dynamic response, moving load, Euler-Bernoulli beam. 1 INTRODUCTION A nalyses of structures made of functionally graded materials (FGMs) have been extensively carried out since the materials were created by Japanese scientist in mid-1980s. The smooth variation of the effective material properties enables these materials to overcome the Manuscript Received on July 13th, 2016. Manuscript Revised December 06th, 2016. This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number . Bui Van Tuyen is a lecturer at Thuy Loi University, 175 Tay Son, Dong Da, Hanoi, Vietnam (e-mail: tuyenbv@). drawbacks of the conventional composite materials. Many
