TY - JOUR ID - 72847 TI - Free Vibration Analysis of Functionally Graded Materials Non-uniform Beams JO - International Journal of Engineering JA - IJE LA - en SN - 1025-2495 AU - Bakhshi Khaniki, Hossein AU - Hosseini Hashemi, S. AU - Bakhshi Khaniki, Hessam AD - Mechanical Engineering, Iran University of Science and Technology AD - , Iran University of Science and Technology AD - 3Department of Industrial Engineering, Sharif University of Technology Y1 - 2016 PY - 2016 VL - 29 IS - 12 SP - 1734 EP - 1740 KW - Free vibration KW - Analytical Solution KW - Al/Al2O3 composites KW - FGM KW - variable cross section DO - N2 - In this article, nonuniformity effects on free vibration analysis of functionally graded beams is discussed. variation in material properties is modeled after Powerlaw and exponential models and the non-uniformity is assumed to be exponentially varying in the width along the beams with constant thickness. Analytical solution is achieved for free vibration with simply supported conditions. It is shown that Functionally graded materials (FGM) materials property accompanying section variation with geometrical property variation has a significant effect on natural frequencies of FGM nonuniform beams. In order to show this dependency, Al/Al2O3 composite beam is modeled and the first three natural frequencies with simply supported boundary conditions is obtained for different powerlaw and exponential parameters which shows a great sensitivity to non-uniformity in different shape modes. UR - https://www.ije.ir/article_72847.html L1 - https://www.ije.ir/article_72847_3697392715db72d733470b9c93fa23db.pdf ER -