One of the most widely used components in gas turbines are blades, which are constantly exposed to vibrations caused by various complex forces, including external fluid stimulation. In high-performance gas turbines, in order to reduce unwanted vibrations and also prevent the occurrence of destructive phenomena in the blades, such as fatigue and resonance, engineers have proposed various solutions, one of the most effective of which is the use of a shroud, wire, or connecting tube. The modal characteristics of a multi-blade system are very different from the characteristics of a single-blade system, so that the natural frequencies and mode shapes of the group of blades cannot be accurately compared with a single-blade analysis. In this article, the effects of the connecting tube on the vibration behavior of the rotor blades of the first row of a power turbine are investigated in terms of temperature, rotor rotational speed and gas pressure. In the first step, after modeling the blade using point cloud technology, the Parasolid model of the blade is transferred to the ANSYS finite element software to extract the natural frequencies and mode shapes of the single blade and the group of 6 blades which are connected to the monocular by the connecting tube. to be in order to validate the accuracy of vector dimensions and material properties, a comparison was made between the frequency analysis of finite elements and the vane modal test in free mode. From the analysis of the Campbell diagram and the shape of the modes, it can be concluded that the connecting tube significantly improves the natural frequencies of the blades so that it is not interfered with the excitation frequencies in the working range of the gas turbine.