Nonlinear vibration analysis and stability analysis of rotor systems with multiple localized nonlinearities
نویسندگان
چکیده
This study proposes a methodology to analyze the nonlinear vibration characteristics of rotor systems with multiple localized nonlinearities adopting Finite Element Method (FEM), free interface Component Mode Synthesis (CMS) method, and modified Incremental Harmonic Balance (IHB) method. The system is supported by squeeze film dampers (SFDs) on both sides, at nodes SFD arrangement, strong local will appear due fluid-film forces. reducing degree freedom rotating factors combining IHB method proposed for first time in this paper. FEM used write motion equations components, CMS applied reduce degrees linear components. solve system. has one component two For modal coordinates are used, original physical coordinate used. By synthesizing these three equation whole created. In order validate effectiveness results obtained compared data published literature, responses considered when specific parameters changed. stability analysis calculated solutions carried out using Floquet theory.
منابع مشابه
Stability Analysis of Nonlinear Systems with Slope Restricted Nonlinearities
The problem of absolute stability of Lur'e systems with sector and slope restricted nonlinearities is revisited. Novel time-domain and frequency-domain criteria are established by using the Lyapunov method and the well-known Kalman-Yakubovich-Popov (KYP) lemma. The criteria strengthen some existing results. Simulations are given to illustrate the efficiency of the results.
متن کاملApplication of the method of multiple scales for nonlinear vibration analysis of mechanical systems with dry and lubricated clearance joints
In this study, the method of multiple scales is used to perform a nonlinear vibration analysis of a mechanical system in two cases; with dry and lubricated clearance joints. In the dry contact case, the Lankarani-Nikravesh model is used to represent the contact force between the joined bodies. The surface elasticity is modeled as a nonlinear spring-damper element. Primary resonance is discussed...
متن کاملNonlinear Vibration Analysis of a cantilever beam with nonlinear geometry
Analyzing the nonlinear vibration of beams is one of the important issues in structural engineering. According to this, an impressive analytical method which is called Modified Iteration Perturbation Method (MIPM) is used to obtain the behavior and frequency of a cantilever beam with geometric nonlinear. This new method is combined by the Mickens and Iteration methods. Moreover, this method don...
متن کاملStability analysis of fractional-order nonlinear Systems via Lyapunov method
In this paper, we study stability of fractional-order nonlinear dynamic systems by means of Lyapunov method. To examine the obtained results, we employe the developed techniques on test examples.
متن کاملPassivity-Based Stability Analysis and Robust Practical Stabilization of Nonlinear Affine Systems with Non-vanishing Perturbations
This paper presents some analyses about the robust practical stability of a class of nonlinear affine systems in the presence of non-vanishing perturbations based on the passivity concept. The given analyses confirm the robust passivity property of the perturbed nonlinear systems in a certain region. Moreover, robust control laws are designed to guarantee the practical stability of the perturbe...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: AIP Advances
سال: 2022
ISSN: ['2158-3226']
DOI: https://doi.org/10.1063/5.0128600