Towards improving the enhanced Craig-Bampton method

Boo, Seung-Hwan; Kim, Jeong-Ho; Lee, Phill-Seung

doi:10.1016/j.compstruc.2017.10.017

Cited by 31 publications

(6 citation statements)

References 37 publications

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“…The Craig-Bampton method 24,25 was used to implement kinetic condensation in building a rigid-flexible coupling dynamic model. This method divides model nodes into boundary and internal nodes.…”

Section: Transmission System Modal Analysismentioning

confidence: 99%

Model-based transmission acoustic analysis and improvement

Cao

Chen

Zang

2020

Proceedings of the Institution of Mechanical Engineers, Part D:

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A model-based transmission acoustic performance has been studied. Both excitation source and structure-borne noise transfer are investigated. For excitation source, transmission error is the main cause. To reduce transmission error, the most effective method is gear micro-geometry modification. However, there is no direct mathematical model that could reveal the relationship between transmission error and gear micro-geometry parameters, especially in the context of transmission system with shafts, bearings and housings included. By using multiple variable linear regression method, the relationship between transmission error and gear micro-geometry parameters is connected. The optimised transmission error decreases from 9.34 to 5.65 μm at a typical working condition. For structure-borne noise transfer, the housing modal and transmission system modal have been analysed. Based on the simulation results, housing thickness around bearing assembly area is increased, and strengthen ribs are added at weak areas. As a result, the amplitude of housing vibration acceleration is reduced. Finally, the transmission noise sound pressure level at 0.3-m distance has decreased by 4.63 dB on average. The presented model-based transmission acoustic analysis work flow is demonstrated workable and effective.

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Section: Transmission System Modal Analysismentioning

confidence: 99%

Model-based transmission acoustic analysis and improvement

Cao

Chen

Zang

2020

Proceedings of the Institution of Mechanical Engineers, Part D:

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“…In the deformation description of modal flexible body, the flexible body is regarded as a set of nodes of FE model, and the elasticity of object is represented by modal. The traditional Craig-Bampton method divides the elastic structure into n sub-structures, and the transformation relationship between the modal coordinates and physical coordinates of the sub-structures can be deduced as 31,32 …”

Section: Flexible Multi-body Dynamics Modelling Basicsmentioning

confidence: 99%

Rigid-flexible coupling modelling and dynamic performance analysis of novel flexible road wheel

Deng

Zhao

Han

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part K:

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A novel flexible road wheel with hub-hinge-ring combined structure is introduced to improve the buffer damping performance and lightweight level of tracked vehicles. To balance computational efficiency and precision, an advanced rigid-flexible coupled model of the flexible road wheel is established using a hybrid modelling method combining finite element method and multi-body dynamics. The reliability and accuracy of the established rigid-flexible coupled model are verified by wheel static loading experiment. The modal flexible body of the elastic outer ring is developed by modified Craig-Bampton method and the simulated results are in good agreement with the experimental data. Based on the verified rigid-flexible coupled model, the dynamic characteristics of the flexible road wheel under typical operation conditions were investigated. The simulation results show that when the motion state changes, the elastic outer ring will produce a hysteretic angle with respect to the hub, delaying the transmission of torque. The system parameters have a greater effect on the vertical vibration of the flexible road wheel. The higher the vehicle speed, the more vibration will be caused, and the increase in the load and number of hinge groups will reduce the vibration. The research results provide reference for structure optimization of flexible road wheel and lay a foundation for flexible multi-body dynamic simulation of tracked vehicles with flexible road wheels.

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“…The ECB method considers the first order term of the residual flexibility in an infinite series expansion for dominant modal correction; nevertheless, it shows dramatic accuracy improvement, over (around) three or four digits, of the CB-reduced matrices, without increasing the number of the dominant modes. The ECB method has provided motives to many following works, such as iterative algorithms, considering higher order residual terms [20][21][22], precise stochastic model reduction [23], multiscale model reduction [24,25], eigenvalue problem solvers [26], etc. Kim et al [27] generalized the model reduction with the residual flexibility, and summarized the relationship between the CMS and dynamic condensation methods.…”

Section: Introductionmentioning

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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Towards improving the enhanced Craig-Bampton method

Cited by 31 publications

References 37 publications

Model-based transmission acoustic analysis and improvement

Model-based transmission acoustic analysis and improvement

Rigid-flexible coupling modelling and dynamic performance analysis of novel flexible road wheel

A Parallel Approach of the Enhanced Craig–Bampton Method

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