Background <p>The stability of beams is a fundamental concern in structural mechanics, as beams under axial or lateral loads may experience buckling or a sudden and shattering failure mode. Understanding the physical behavior of beams under various loading and boundary conditions is essential for predicting critical loads and ensuring the safety and reliability of engineering structures. The presence of pre-twisting, tapering and thermal gradients further complicate the dynamic response. Structural stability and natural frequencies are affected by geometry and external loads.</p> Purpose <p>Here a new system has been proposed for better improvement of strength to weight ratio of a beamlike structure widely used and subjected to external excitation. The system considered is a rotating cantilever beam and is under a pulsating compressive load. For reduction of its weight a number of holes throughout its length (here four) have been considered. To maintain the strength there are springs with high stiffness inside the hole and throughout the length. No relative motion is assumed to be at the contact points between beam and springs.</p> Method <p>The kinetic energy, potential energy of the beam including springs and work done by external excitation have been calculated. For the derivation of non-dimensional governing equations and boundary conditions of the system, Hamilton’s equation is applied. After this by application of energy method, mass matrices and stiffness matrices have been determined. Finally, the zones of instabilities for the system, which are affected by the different non dimensional parameters such as spring stiffness, spring mass, hole diameters and their locations have been plotted by Saito Otomi condition. From these plots, which parameters are improving the stability and which are deteriorating the stability of the beam have been revealed.</p> Results and Discussion <p>Instability zones are determined under different conditions. The effects of various parameters on instability zones are comprehensively presented. The spring insertion inside holes leads to a significant improvement in dynamic characteristics. From different plotted graphs it can be found that the increase in spring stiffness, location of holes, taper parameter with or without temperature gradient, rotating speed and the ratio of radius of the hub to the length of the beam are improving the stability of the system, whereas increasing values of spring mass, thermal gradient, pretwist angle and hole diameters are decreasing the system’s stability.</p>