Vibration control is one of the prominent factors, especially in lightweight structures in space technology. These structures, due to their low mass and thinness, frequently lose the stability under environmental disturbances. Piezoelectric materials as sensors/actuators have been widely used to control vibrations and mode shapes of such structures. Nowadays, piezoelectric and passive materials like viscoelastic materials have shown combined advantage of hybrid damping (active constrained layer damping) and with different parametric variations in them have shown remarkable property for control authority. This paper presents the details of parametric variations in smart structure using energy methods to demonstrate the utility for further structure design. Finite element model has been implemented using MATLAB software to analyze its effect of various parameters. Different environmental temperatures as thermal loads have been considered, and their effect on damping ratio is investigated. Parameters like percentage coverage of viscoelastic, piezoelectric material patches and the shape of patches on damping characteristics have been demonstrated.