A component mode synthesis method for reduced-order modeling of cable networks in cable-stayed bridges

This paper presents a reduced-order modeling technique, based on a component mode synthesis method specifically tailored for bladed disks, that allows the resulting low-order model to be attached to a shaft. Mistuning is included in the bladed disk model and the shaft is modeled using uniaxial finite elements according to the rotordynamic approach. The proposed formulation is applied to an example finite element model of a bladed disk, for both tuned and mistuned blades. Comparisons are made between the reduced model and the full finite element solution for free and forced responses in order to assess the methodology. The forced response amplitudes of the blades are found to vary significantly with the inclusion of a flexible shaft. This work suggest that stage independent analyses might not be adequate for predicting the global dynamic response of rotating assemblies of turbomachines.

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Vibration reduction optimization of the mistuned bladed disk considering the prestress

Proceedings of the Institution of Mechanical Engineers Part G Journal of Aerospace Engineering ◽

10.1177/0954410017728972 ◽

2017 ◽

Vol 233 (1) ◽

pp. 226-239 ◽

Cited By ~ 3

Author(s):

Hongyuan Zhang ◽

Huiqun Yuan ◽

Wenjun Yang ◽

Tianyu Zhao

Keyword(s):

Finite Element ◽

Optimization Algorithm ◽

Synthesis Method ◽

Reduced Order Model ◽

Component Mode Synthesis ◽

Order Model ◽

Blade Vibration ◽

Reduced Order ◽

Vibration Localization ◽

Bladed Disk

Ignoring the effect of prestress can increase the gap between the actual results and research results, which is not conducive to improve the vibration localization of bladed disk system and the finite element calculation. To improve the vibration localization and computational efficiency, the prestressed component mode synthesis method (PCMSM) was adopted to establish the finite element reduced-order model considering prepress. Since the main calculation precision of the prestressed component mode synthesis method was the mode truncation number, calculation was made to the eigenfrequency of different mode truncations; the contrast and analysis were made to the calculation result of blisk model, minimum mode truncation number under the above calculation precision was obtained, and freedom of the model was greatly reduced. The finite element reduced-order model was collocated to make an analysis of the vibration response characteristics of mistuned bladed disk. From the aforementioned analysis, the maximum amplitude of mistuned bladed disk was not only associated with the mistuning value of blade but also related to the frequency of adjacent blade; on the basis of such a rule, the finite element reduced-order model was adopted to raise an optimization algorithm for the blade vibration reduction and arrangement. Results have revealed that the optimization algorithm has made an adequate consideration of both model precision and calculation speed. The maximum dimensionless amplitude of blade vibration under three mistuning patterns and upon optimization is greatly reduced by 32.8%, 30.1%, and 28%. The localization factor of blade vibration under three mistuning patterns and upon optimization is greatly reduced by 64%, 68.5%, and 57.2%. The optimization algorithm based on the prestressed component mode synthesis method gets the optimization value by not more than 15 iterations. The optimization algorithm has greatly reduced the amplitude of the blade and obviously dampened vibration localization of the bladed disk system.

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A Component-Based Parametric Reduced-Order Modeling Method Combined with Substructural Matrix Interpolation and Automatic Sampling

Shock and Vibration ◽

10.1155/2019/6407437 ◽

2019 ◽

Vol 2019 ◽

pp. 1-14

Author(s):

Ying Liu ◽

Hongguang Li ◽

Yun Li ◽

Huanyu Du

Keyword(s):

Parameter Space ◽

Optimal Parameter ◽

Synthesis Method ◽

Sampling Procedure ◽

Reduced Order Modeling ◽

Modeling Method ◽

Reduced Basis ◽

Reduced Order ◽

Automatic Sampling ◽

Matrix Interpolation

An efficient parametric reduced-order modeling method combined with substructural matrix interpolation and automatic sampling procedure is proposed. This approach is based on the fixed-interface Craig-Bampton component mode synthesis method (CMS). The novel parametric reduced-order models (PROMs) are developed by interpolating substructural reduced-order matrices. To guarantee the compatibility of the coordinates, we develop a three-step adjustment procedure by reducing the local interface degrees of freedom (DOFs) and performing congruence transformation for the normal modes and interface reduced basis, respectively. In addition, an automatic sampling process is also introduced to dynamically fulfill the predefined error limits. It proceeds by first exploring the parameter space and identifying the sampling points with maximum error indicators for all the parameter-dependent substructures. The exact error of the assembled model at the optimal parameter point is subsequently calculated to determine whether the automatic sampling procedure reaches a desired error tolerance. The proposed framework is then applied to the moving coil of electrical-dynamic shaker to illustrate the advantage and validity. The results indicate that this new approach can significantly reduce both the offline database construction time and online calculation time. Besides, the automatic procedure can sample the parameter space efficiently and fulfill the stopping criterion dynamically with assurance of the resulting PROM accuracy.

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Relative cyclic component mode synthesis: A reduced order modeling approach for mistuned bladed disks with friction interfaces

Mechanical Systems and Signal Processing ◽

10.1016/j.ymssp.2021.108197 ◽

2022 ◽

Vol 163 ◽

pp. 108197

Author(s):

S. Mehrdad Pourkiaee ◽

Stefano Zucca ◽

Robert G. Parker

Keyword(s):

Reduced Order Modeling ◽

Component Mode Synthesis ◽

Bladed Disks ◽

Reduced Order ◽

Cyclic Component ◽

Modeling Approach

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Component Mode Synthesis Method Using Partial Interface Modes: Application to Tuned and Mistuned Bladed Disk With Local Non-Linearity

Volume 1: 22nd Biennial Conference on Mechanical Vibration and Noise, Parts A and B ◽

10.1115/detc2009-87353 ◽

2009 ◽

Cited By ~ 1

Author(s):

Duc-Minh Tran

Keyword(s):

Synthesis Method ◽

Normal Modes ◽

Component Mode Synthesis ◽

New Method ◽

Reduced Order Models ◽

Reduced Order ◽

Generalized Coordinates ◽

Bladed Disk ◽

Static Condensation ◽

Fixed Interface

A new fixed interface component mode synthesis method using partial interface modes is presented. Partial interface modes are the structure normal modes which result from the static condensation of the structure to the interface between the substructures and which are clamped at a part of this interface. This method is the generalization of the classical component mode synthesis method which keeps all the interface physical displacements in the assembled reduced system and the method using interface modes which eliminates all of them. It allows one to reduce the number of the interface generalized coordinates and at the same time to keep some of the physical displacements at the interface. This latter capability is very useful to build reduced order models in which the presence of physical displacements are essential, for example in order to impose prescribed motions or to take into account local non-linearities. The new method is applied to a bladed disk in both tuned and mistuned cases.

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