Shada, S.K.Kattimani, S.Ramesh, M.R.2026-02-032025Noise and Vibration Worldwide, 2025, , , pp. -9574565https://doi.org/10.1177/09574565251394416https://idr.nitk.ac.in/handle/123456789/20592This article presents a numerical investigation of free vibrational features of bi-directionally tapered functionally graded (BTFG) plate unified with active constrained layer damping (ACLD) on a two-parameter Winkler-Pasternak flexible support. In conjunction with the virtual work principle, the first-order shear theory for deformation is employed. The plate’s damping is actively controlled using a velocity feedback control system with 1-3 piezoelectric patches consisting of piezoelectric and viscoelastic layers. Effects of foundation/support parameters (Kw and Ks), taper ratios, ACLD patch placement, and boundary conditions are systematically analysed through frequency response studies. Results demonstrate that incorporating ACLD patches significantly enhances damping features. Revealing with edge patch placement yields superior vibration suppression on the substrate plate. The study highlights the synergistic impact of ACLD patches, flexible supports, and active control, presenting a robust solution for precision vibration control in advanced structural applications. © The Author(s) 2025Beams and girdersDampingFeedback controlPiezoelectric devicesPiezoelectricityPlates (structural components)Robust controlShear flowVibrations (mechanical)ViscoelasticityActive constrained layer dampingBi-directionalBi-directional tapered plateFlexible supportsFunctionally graded platesPasternakSmart damping systemTapered platesWinkl-pasternakWinklerFrequency response