Patil, M.A.Kadoli, R.Saraf, S.Naskar, S.2026-02-042024Mechanics Based Design of Structures and Machines, 2024, 52, 9, pp. 7138-715815397734https://doi.org/10.1080/15397734.2023.2297246https://idr.nitk.ac.in/handle/123456789/21471The dynamic behaviour of a bidirectional functionally graded Terfenol-D curved beam under a moving load is the focus of this study. Combined differential and integral quadrature solve the curved beam boundary value problem. A bidirectional functionally graded Terfenol-D curved beam's damping, damped frequencies for different boundary conditions, and mode shapes were examined in free vibration investigations. Based on accessible literature data, the findings are reliable. Furthermore, DQ-IQ numerical technique findings examine the impact of many factors, including control gain, thickness, moving load velocity, bidirectional gradation index, and multi-moving load. © 2023 Taylor & Francis Group, LLC.Curved beams and girdersDifferentiation (calculus)Numerical methodsCurved beamsDifferential and integral quadrature methodDifferential integralsDynamic behaviorsFunctionally gradedMoving loadMulti-moving loadQuadrature methodsTerfenol-DBoundary value problems