TY - JOUR T1 - Dynamic Control of Non-Linearly Tapering FGM Beams AU - El Hartı, Khalid AU - Saadanı, Rachid AU - Rahmoune, Miloud PY - 2022 DA - October DO - 10.55549/epstem.1192327 JF - The Eurasia Proceedings of Science Technology Engineering and Mathematics JO - EPSTEM PB - ISRES Publishing WT - DergiPark SN - 2602-3199 SP - 46 EP - 54 VL - 18 LA - en AB - This work presents the dynamics and active vibration control of a non-uniform functionally graded beam. Thanks to the strong use of beams and specifically with non-uniform section, in the different industrial applications, such as helicopter rotor blades, wind turbines, space and marine structures, we present in this article, a comparison of linearly and non-linearly tapering beams. The FGM beam is equipped with four layers of piezoelectric materials as sensors and actuators, bonded on the upper and lower surfaces of the main structure, on different finite elements to see the influence of its location on the dynamics and active control. In this study, the Timoshenko beam’s theory combined with FEM is applied to a beam divided into a finite number of elements. Hamilton's principle is applied to generate the equation of motion. The structure is modeled analytically and numerically and the simulation results are presented at the end. The optimal LQG control with Kalman filtering is applied. KW - Vibration KW - LQG-kalman control KW - FGM KW - Piezoelectric materials KW - Timoshenko’s beam theory CR - El Harti, K., Saadani, R. & Rahmoune, M. (2022). Dynamic control of non-linearly tapering fgm beams. The Eurasia Proceedings of Science, Technology, Engineering & Mathematics (EPSTEM), 18, 46-54. UR - https://doi.org/10.55549/epstem.1192327 L1 - https://dergipark.org.tr/en/download/article-file/2721685 ER -