Vibration control of a column with concentrated mass on by means of piezoceramic elements

In this paper, the results of numerical studies on vibration control of a geometrically nonlinear column with additional mass and spring elements are presented. The external load is induced by axially applied force P with constant line of action. The additional mass element and the spring are placed on different members of the system. The boundary problem has been formulated on the basis of the Hamilton’s principle. Due to the geometrical nonlinearity of the investigated system, the solution of the problem was performed by means of the small parameter method. The main purpose of this paper is to investigate the influence of the piezoelectric force on the vibration, divergence instability and critical loading.