A Simultaneous Iterative Scheme for the Craig-Bampton Reduction Based Substructuring

Cui, Jie; Xing, Jianwei; Wang, Xing; Zhu, Shijie; Zheng, Gangtie

doi:10.1007/978-3-319-54930-9_10

Cited by 8 publications

(6 citation statements)

References 28 publications

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“…The main idea of the proposed method can be extended to other iterative CMS methods with higher order residual flexibility, both primal and dual assemblies [22,32,33]. It should be noted that blockwise and decoupled formulations are prerequisites to achieve the parallel computations of iterative methods.…”

Section: Discussionmentioning

confidence: 99%

A Parallel Approach of the Enhanced Craig–Bampton Method

et al. 2021

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The enhanced Craig–Bampton (ECB) method is a novel extension of the original Craig–Bampton (CB) method, which has been widely used for component mode synthesis (CMS). The ECB method, using residual modal compensation that is neglected in the CB method, provides dramatic accuracy improvement of reduced matrices without an increasing number of eigenbasis. However, it also needs additional computational requirements to treat the residual flexibility. In this paper, an efficient parallelization of the ECB method is presented to handle this issue and accelerate the applicability for large-scale structural vibration problems. A new ECB formulation within a substructuring strategy is derived to achieve better scalability. The parallel implementation is based on OpenMP parallel architecture. METIS graph partitioning and Linear Algebra Package (LAPACK) are used to automated algebraic partitioning and computational linear algebra, respectively. Numerical examples are presented to evaluate the accuracy, scalability, and capability of the proposed parallel ECB method. Consequently, based on this work, one can expect effective computation of the ECB method as well as accuracy improvement.

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Section: Discussionmentioning

confidence: 99%

A Parallel Approach of the Enhanced Craig–Bampton Method

et al. 2021

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“…We here compare the IF‐CMS method with the other well‐known iterative CMS methods: Higher‐order CB (HCB) method 30,35 and iterative CB method 31 . Both the HCB and iterative CB methods were directly motivated from the ECB method that is the first CB approach with the residual flexibility 19 .…”

Section: Numerical Experimentsmentioning

confidence: 99%

“…Thus, many following works have focused on using higher‐order residual flexibility in the iterative manner 31‐35 . Xing et al 31 improved an accuracy of the CB method with the iterative technique in the similar manner of the iterative improved reduced system (IIRS) method 32 . Ahn et al 33 proposed an iterative multipoint constraint method for linear system with the Lagrange multipliers.…”

Section: Introductionmentioning

confidence: 99%

An iterative scheme of flexibility‐based component mode synthesis with higher‐order residual modal compensation

Chung

Kim²,

Chae

et al. 2021

Numerical Meth Engineering

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An Iterative Flexibility‐based Component Mode Synthesis (IF‐CMS) is presented for the model reduction of partitioned structural dynamic systems via localized Lagrange multipliers. A distinct IF‐CMS feature is the inclusion of hierarchical residual flexibility at each iteration, resulting in considerably improved accuracy compared with the classical Craig–Bampton (CB) CMS method. The present IF‐CMS method does not increase the number of substructural modes during the hierarchical iteration process. In particular, to alleviate ill‐conditioning during the iteration steps, the proposed IF‐CMS method adopts the so‐called (qd, α, ub)‐formulation by condensing Lagrange multipliers from the original F‐CMS method. The performance of the proposed method is evaluated through numerical examples, which illustrates improved accuracy over existing CMS methods.

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“…In 1965, Hurty [10] introduced the concept of CMS using sub-structuring for large dynamical structures. Since then, various CMS methods are introduced in the last five decades [11][12][13][14][15][16][17][18][19][20] which have gone through several enhancements [21][22][23][24][25][26][27]. CMS involves partitioning a large dynamical system into several subsystems.…”

Section: Model Order Reduction Of Complex Airframes Using Component Mmentioning

confidence: 99%

Model Order Reduction of Complex Airframes Using Component Mode Synthesis for Dynamic Aeroelasticity Load Analysis

Thomas¹,

Walch²

2018

JMEA

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Airframe structural optimization at different design stages results in new mass and stiffness distributions which modify the critical design loads envelop. Determination of aircraft critical loads is an extensive analysis procedure which involves simulating the aircraft at thousands of load cases as defined in the certification requirements. It is computationally prohibitive to use a GFEM (Global Finite Element Model) for the load analysis, hence reduced order structural models are required which closely represent the dynamic characteristics of the GFEM. This paper presents the implementation of CMS (Component Mode Synthesis) method for the generation of high fidelity ROM (Reduced Order Model) of complex airframes. Here, sub-structuring technique is used to divide the complex higher order airframe dynamical system into a set of subsystems. Each subsystem is reduced to fewer degrees of freedom using matrix projection onto a carefully chosen reduced order basis subspace. The reduced structural matrices are assembled for all the subsystems through interface coupling and the dynamic response of the total system is solved. The CMS method is employed to develop the ROM of a Bombardier Aerospace business jet which is coupled with aerodynamic model for dynamic aeroelasticity loads analysis under gust turbulence. Another set of dynamic aeroelastic loads is also generated employing a stick model of same aircraft. Stick model is the reduced order modelling methodology commonly used in the aerospace industry based on stiffness generation by unitary loading application. The extracted aeroelastic loads from both models are compared against those generated employing the GFEM. Critical loads modal participation factors and modal characteristics of the different ROMs are investigated and compared against those of the GFEM. Results obtained show that the ROM generated using Craig Bampton CMS reduction process has a superior dynamic characteristics compared to the stick model.

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A Simultaneous Iterative Scheme for the Craig-Bampton Reduction Based Substructuring

Cited by 8 publications

References 28 publications

A Parallel Approach of the Enhanced Craig–Bampton Method

A Parallel Approach of the Enhanced Craig–Bampton Method

An iterative scheme of flexibility‐based component mode synthesis with higher‐order residual modal compensation

Model Order Reduction of Complex Airframes Using Component Mode Synthesis for Dynamic Aeroelasticity Load Analysis

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