شبيه سازي ديناميكي سامانه دوار پيوسته داراي ترك فعال با استفاده از روش سري هاي ريتز و حل متوازن بالانس

A Ritz and Harmonic Balance Solution Method for Dynamic Simulation of a Continuous Rotating System Containing an Active Crack

Dynamic behavior of a cracked rotor is simulated under the excitation of unbalance and gravity forces. The shaft is modeled using Timoshenko beam segments supported on two visco elastic bearings, and the attached disks are considered to be solid bodies with point connections to the shaft. The presence of a transverse breathing fatigue crack in the shaft cross section is considered which results in a time dependent stiffness. The model is constructed by using the convenient energy method and the crack effect is implemented as a substructure. Response of the system is calculated using a Harmonic Balance Method (HBM). The calculated system response includes run up response and time response. The obtained results are verified by FEM and a good agreement is observed. Keywords: cracked shaft- Ritz series- Linear Elastic Fracture Mechanics (LEFM)- parametrically exit