The first six vibration modes of a thick plate with 10 piezoelectric sensoractuator pairs are suppressed using advanced beam elements based on the one-dimensional Carrera Unified Formulation (CUF). A three-dimensional model is developed by combining one-dimensional beam elements with twodimensional Lagrange expansions in this paper. For the reduction of vibration of a thick cantilever plate, a PIDF type control is designed and tuned. Based on the results of the simulation, it can be concluded that the simulation of thick plate models with impulse inputs is efficient as well after model order reduction.