Analysis of multi-directional coupled nonlinear vibrations in rotor-bearing-disk systems: Lateral, torsional, and axial dynamic interactions
MECHANICS RESEARCH COMMUNICATIONS, cilt.154, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 154
- Basım Tarihi: 2026
- Doi Numarası: 10.1016/j.mechrescom.2026.104722
- Dergi Adı: MECHANICS RESEARCH COMMUNICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, zbMATH, Academic Search Ultimate (EBSCO), Engineering Source (EBSCO)
- Kocaeli Üniversitesi Adresli: Hayır
Özet
This work investigates the nonlinear oscillations of an elastic rotor system subjected to torque-induced acceleration. A mathematical model integrating Green's higher-order strain theory is developed to analyze the nonlinear dynamics of the rotor. The system under study comprises a flexible shaft with two disks, mounted on flexible bearings equipped with springs and dampers. The shaft, modeled as a circular cross-section beam, employs Euler-Bernoulli beam theory augmented by rotary inertia, gyroscopic effects, higher-order large deformations, and rotor mass unbalance. The kinetic and strain energies of the rotor system are formulated, and the Lagrange method is applied to derive a mathematical model consisting of second-order coupled nonlinear differential equations governing motion across 6 degrees of freedom. These equations are solved numerically using the finite element method (FEM) to obtain the system's nonlinear dynamic response. Vibration response curves are generated for diverse operational conditions to evaluate rotor behavior. Key findings include that incorporating rotational/axial flexibility and axial-torsional-lateral couplings induces axial and torsional vibrations in addition to lateral vibrations. Also, increasing the unbalanced mass triggers the Sommerfeld effect, evident in time-domain vibration responses. This study bridges gaps in prior models by systematically integrating higherorder nonlinearities and multi-directional couplings, providing insights into the complex interplay of forces in accelerating rotor systems.