Electric power is an indispensable consumer commodity for a little over a century now as all electric equipment in dwellings, commercial, and industry sectors are essentially dependent on electricity. Heat recovery steam generator, HRSG is an important system in combined cycle power plants. Indeed, excess vibrations induced on such devices may gradually lead to fatigue failure that affect the process of power output. This work investigates, models, and simulates the vibrations response of a fluid carrier pipe housed inside the cavity of the system while experiencing highly pressurized nearly perpendicular external force of extremely hot flue gas on the outside and pressurized water and water vapour from the inside. Transient and steady-state vibrations from initial conditions and the forcing function analysis are performed to account for the variation of damping, amplitude, and frequency responses of the system. Initial parameters used in the systems’ model are from industry subsequent to the OEM instructions. However, we introduce a new set of parameter values so as to observe the vibrational behaviour by varying these parameters. The purpose of performing a parameter-based vibration analysis is that parameter variation may point to different responses in the system. Indeed, this in turn indicates which set of parameters are suitable for rectifying the primary causes of undesired vibrations. To account for the consequence of mass flowrate, the model covers low pressure, intermediate pressure, and high-pressure constituents. The results obtained from the model are for the relationships of amplitude and phase angle as functions of frequency of the system. From these data, different interactions of quantities such as force, damping ratio, and number of dampers and vibration supports are observed. These results implores the implementation of new set of parameters to improve the agility of the system and minimize the impact of excess vibrations.