Abstarct: In this thesis, active vibration control of truncated conical shell under harmonic excitation using piezoelectric actuator is investigated. For this purpose, first, dynamic equation of the FGM truncated conical shell is derived. Using the Galerkin method the ordinary differential equations of the system are obtained. Then, using semi-analytical perturbation theory methods, resonance analyzes (primary resonance, supersonic and subharmonics) are performed to investigate the hardening or softening behavior of the system. To active control of system, we add the outer laxyer as the actuator and the inner laxyer as the sensor to the system. Due to the added piezoelectric laxyers, the governing equations of the system are again extracted. Using the piezoelectric sensors, active vibration control of this structure are performed, and the effect of piezoelectric sensors on the softening or hardening behavior of the structure are investigated. The necessary analysis for this structure are represented at different vertex angles of the cone, volume fraction and loading.