A developed component mode synthesis for parametric response analysis of large-scale asymmetric rotor

Zheng, Zhaoli; Zhu, Fahui; Zhang, Di; Xie, Yonghui

doi:10.1007/s12206-019-0201-9

Cited by 10 publications

(4 citation statements)

References 29 publications

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“…e modal synthesis method is another effective order reduction method; it is essentially a classic Galerkin method, so the method is applied widely to reduce the order of the large and complex system [15][16][17][64][65][66][67][68][69][70][71][72][73][74][75][76][77][78]. e principle of the modal synthesis method is dividing large and complex system into substructures, ignoring the high-mode of substructures, and then synthesizing the system composed of low-order modalities of each substructure, thereby achieving the purpose of reducing system DOF [17,19,70,73].…”

Section: Modal Synthesis Methodsmentioning

confidence: 99%

“…In recent years, Beck et al [73] applied the modal synthesis method to reduce the order of integrally bladed rotors and analyzed the dynamic characteristics of the reduced modal. Zheng et al [74] proposed a generalized and efficient method for parametric response analysis of large-scale asymmetric rotor in order to avoid costly approach, and the fixed-interface component mode synthesis is employed to form a reducedorder model. Zhang [75] combined the Ansys software and the mixed constraint modal synthesis method to study the large civil structure with nonlinear part.…”

Section: Modal Synthesis Methodsmentioning

confidence: 99%

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A Review of Model Order Reduction Methods for Large‐Scale Structure Systems

Zhang

et al. 2021

Shock and Vibration

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The large-scale structure systems in engineering are complex, high dimensional, and variety of physical mechanism couplings; it will be difficult to analyze the dynamic behaviors of complex systems quickly and optimize system parameters. Model order reduction (MOR) is an efficient way to address those problems and widely applied in the engineering areas. This paper focuses on the model order reduction of high-dimensional complex systems and reviews basic theories, well-posedness, and limitations of common methods of the model order reduction using the following methods: center manifold, Lyapunov–Schmidt (L-S), Galerkin, modal synthesis, and proper orthogonal decomposition (POD) methods. The POD is a powerful and effective model order reduction method, which aims at obtaining the most important components of a high-dimensional complex system by using a few proper orthogonal modes, and it is widely studied and applied by a large number of researchers in the past few decades. In this paper, the POD method is introduced in detail and the main characteristics and the existing problems of this method are also discussed. POD is classified into two categories in terms of the sampling and the parameter robustness, and the research progresses in the recent years are presented to the domestic researchers for the study and application. Finally, the outlooks of model order reduction of high-dimensional complex systems are provided for future work.

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Section: Modal Synthesis Methodsmentioning

confidence: 99%

Section: Modal Synthesis Methodsmentioning

confidence: 99%

A Review of Model Order Reduction Methods for Large‐Scale Structure Systems

Zhang

et al. 2021

Shock and Vibration

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“…Then, their model order reduction technique was employed by Zuo et al [14] to study the instability of the asymmetric rotor system with uncertainties. Zheng et al [15] proposed a method that can reduce the interface DOFs when multiple substructures were used. This method was able to solve the steady-state response of large-scale asymmetric rotor systems.The above studies indicated that valuable results concerning the stability and steady-state response of asymmetric rotors have been obtained by deterministic study, where the properties of rotor system and boundary conditions were deterministic.…”

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confidence: 99%

mentioning

confidence: 99%

Numerical Investigation on the Gravity Response of a Two-Pole Generator Rotor System with Interval Uncertainties

2019

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Asymmetric rotor systems widely exist in commercial plants. In the previous studies about asymmetric rotor systems, parameters such as material properties and boundary conditions are deterministic. To obtain a deep understanding of the dynamics of asymmetric rotor systems, a generator rotor system considering uncertain factors is studied in this paper. The equations of motion of the three-dimensional finite element model are solved in the rotating frame. The component mode synthesis is used to reduce the degrees of freedom. By employing the Chebyshev interval method (CIM), the uncertain gravity responses of the generator rotor system are investigated. The influences of the uncertainties in the bearing's properties and the rotor's material properties on the gravity response are studied in cases with a single uncertainty and double uncertainties. The accuracy and the efficiency of CIM are validated by comparing with the results of the scanning method. The results show that uncertainties have remarkable influences on the gravity response, and that these influences are different from each other. The proposed method and the results can provide guidance to the design and optimization of the rotary machinery. Appl. Sci. 2019, 9, 3036 2 of 15 the modeling techniques based on beam elements were gradually replaced by a three-dimensional finite element model (3D FEM). Rao and Sreenivas [10] modeled the asymmetric rotor by using 3D finite elements. The transient response due to unbalance alone and gravity alone were investigated. The gravity critical speed was reported in their study. Lazarus et al. [11] established the 3D FEM of the rotary part and stationary part in the rotating frame and fixed frame, respectively. The global equations of motion were obtained by coupling the two parts in a different frame. To accelerate the stability and steady-state analysis, component mode synthesis (CMS) was used to reduce the degrees of freedom (DOFs). Wang et al.[12] used a free-interface CMS to establish a reduced-order model (ROM). Thus, the DOFs of anisotropic rotor-bearing systems were reduced. The influences of four dimensionless parameters describing the anisotropy of bearing on the unbalance and gravity responses were analyzed and discussed. Ma et al. [13] experimentally and numerically studied the whirl speed of an asymmetric rotor system. In their numerical analysis, 3D FEM combined with model order reduction using modal shapes was employed. Then, their model order reduction technique was employed by Zuo et al. [14] to study the instability of the asymmetric rotor system with uncertainties. Zheng et al. [15] proposed a method that can reduce the interface DOFs when multiple substructures were used. This method was able to solve the steady-state response of large-scale asymmetric rotor systems.The above studies indicated that valuable results concerning the stability and steady-state response of asymmetric rotors have been obtained by deterministic study, where the properties of rotor system and boundary conditions were de...

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