A real decoupled method and free interface component mode synthesis methods for generally damped systems

He, Huan; Wang, Tao; Chen, Guoping; Sun, Dongyang; Sun, Rujie

doi:10.1016/j.jsv.2013.09.023

Cited by 14 publications

(6 citation statements)

References 21 publications

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“…The finite element reduced order modeling technique is based on the substructure component mode synthesis method, which can greatly reduce the degree of freedom of the dynamic model on the premise of satisfying the requirements of the engineering accuracy. The substructure component mode synthesis method can be divided into three categories: the fixed interface method [3][4][5], free interface method [6][7][8] and mixed method [9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Vibration reduction optimization for mistuned bladed disk based on reduced order modeling technique

Zhang¹,

Yuan²,

Sun³

2020

J. vibroeng.

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The arrangement optimization algorithm of blades can reduce the vibration localization of mistuned bladed disk in a compressor of aero-engine, however, it will destroy the dynamic balance of bladed disk. A new arrangement optimization method of isolation zone on bladed disk system considering unbalance moment is proposed, on the basis the reduced order modeling technology. This method is based on the finite element model and can be implemented as fast and accurate vibration reduction optimization without destroying the mass balance of the bladed disk system, the method considers both mass and stiffness mistuning. Firstly, the discrete particle swarm optimization algorithm is used to sort the mass-mistuned blades according to unbalanced moment, then, the arranged bladed disk is divided into 6 isolation zones, then, in each isolation zone, the stiffness mistuned bladed disk is arranged optimally by the stiffness mistuning optimization algorithm. Under the premise of satisfying the dynamic balance of bladed disk, this algorithm optimizes the arrangement of blades with mass mistuning and stiffness mistuning, and achieves the purpose of vibration reduction optimization of mistuned bladed disk. The results show that, the maximum amplitude of the bladed disk system is reduced by 23.9 %. The vibration localization degree of the optimized blade are reduced by 46.3 %.

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Section: Introductionmentioning

confidence: 99%

Vibration reduction optimization for mistuned bladed disk based on reduced order modeling technique

Zhang¹,

Yuan²,

Sun³

2020

J. vibroeng.

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“…Craig and Chang [9,10] proposed a substructure coupling method that is based on the free interface and discussed the substructure coupling problem, which is based on improving the substructure model. He [11] adopted the free interface mode synthesis method for the damping vibration system to calculate the residual flexibility matrix by the weighted orthogonal matrix. The inverse of the stiffness matrix can be avoided by using the weighted orthogonal matrix.…”

Section: Introductionmentioning

confidence: 99%

Effect of Coriolis force on vibration localization characteristics of mistuned bladed disk

Zhang¹,

Yuan²,

Sun³

2020

J. vibroeng.

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Ignoring the effect of centrifugal force and Coriolis force can increase the vibration localization degree of bladed disk system. In order to address the problem of vibration localization of the mistuned bladed disk of an aeroengine, the finite element reduced order models of bladed disk was established by the component mode synthesis method. The mistuning of the blades were simulated using different mistuned modes. By analyzing the mistuned vibration localization characteristics, it was discussed whether to consider the effect of the centrifugal force and Coriolis force on the vibration localization characteristics on the bladed disk. The effect of the Coriolis force on the vibration localization of the mistuned bladed disk under different engine order of excitation was discussed. The results shows that the centrifugal force and Coriolis force strongly influences the vibration characteristics of both the tuned disk and mistuned bladed disk, in the analysis of the vibration localization characteristics of the mistuned bladed disk, the role of the Coriolis force cannot be ignored.

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“…One way to solve this problem is the reduction by component mode synthesis (CMS) method proposed in the literature. [11][12][13][14][15][16][17][18] This method allows condensing the large number of DOFs into a small number using the generalized coordinates. FA Lulf et al 19 proposed a comparative study of different bases for reduction in nonlinear dynamic structures.…”

Section: Introductionmentioning

confidence: 99%

“…The different methods are classified according to CMS interface: fixed interface, 11 free interface, 12,13 or hybrid interface. 14,16 Recently, D Sarsri et al 20,21 developed an approach coupling CMS reduction method and developing uncertainty by a PCE to calculate the frequency transfer functions and response temporal for linear stochastic structures. J Sinou et al 22 proposed for simple structures, requiring no reduction, a technique taking into account the uncertainties in nonlinear models by combining the method of harmonic balance method (HBM) and developing uncertainty by a PCE.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibrations of large structures with uncertain parameters

Lamrhari

Sarsri

Azrar

et al. 2017

Advances in Mechanical Engineering

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The effects of uncertainties on the nonlinear dynamics of complex structures remain poorly mastered and most methods deal with the linear case. This article deals with a model of a large and complex structure with uncertain parameters for the nonlinear dynamic case, and the reduction in the model discretized by the finite element method is obtained by reducing the degrees of freedom in the numerical model. This is achieved by the development of the unknown displacement vector on the basis of the eigenmodes; a particular attention is paid to the calculation of the nonlinear stiffness coefficients of the model. The method combines the stochastic finite element methods with a modal reduction class based on sub-structuring the component mode synthesis method. The reference method is the Monte Carlo simulation which consists in making several simulations for different values of the uncertain parameters. The simulation of complex and nonlinear structures is costly in terms of memory and computation time. To solve this problem, the perturbation method combined with the component mode synthesis reduction method significantly reduces the computational cost by preserving the physical content of the original structure. The numerical integration by the Newmark schema is used; the first statistical moments (mean and variance) of the nonlinear dynamic response are computed. Numerical simulations illustrate the accuracy and effectiveness of the proposed methodology.

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A real decoupled method and free interface component mode synthesis methods for generally damped systems

Cited by 14 publications

References 21 publications

Vibration reduction optimization for mistuned bladed disk based on reduced order modeling technique

Vibration reduction optimization for mistuned bladed disk based on reduced order modeling technique

Effect of Coriolis force on vibration localization characteristics of mistuned bladed disk

Nonlinear vibrations of large structures with uncertain parameters

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