The article focuses on the proposal of a model of a skyscraper equipped with a semi-active pendular vibration eliminator utilizing the phenomenon of fluid transfer, which could be used in monitoring the condition of slender structures. The proposed model consists of two main elements: an upper member, representing the dynamic mass of a skyscraper in the form of a trolley, and a lower member -a pendulum attached to the trolley. To consider the fluid transfer, a variable mass factor represented by an inverse tangent function was included in the equation of motion. Simulation studies in a dimensionless time domain were performed to investigate the influence of mass distribution on changes in the system's response. Three dynamic states of the system were considered, during which the system's total mass remained constant. Diagnostic parameters enabling the detection of changes in the mass of the eliminator and stiffness of a damped structure have been proposed.