A comparison study between the Craig - Bampton model reduction method and traditional finite element method for analyzing the dynamic behavior of vibrating structures

In this method, the internal DOFs are separated from the boundary DOFs, and decomposed onto a basis of static modes, and a basis of fixed interface modes [Craig et Bampton, 1968]. The use of a reduced basis for the fixed interface modes makes it possible to reduce the size of the system to be solved, and therefore to save the computational time compared to a classical finite element computation involving the complete system. | HỘI NGHỊ KHOA HỌC TOÀN QUỐC VỀ CƠ KHÍ ĐIỆN TỰ ĐỘNG HÓA MEAE2021 A comparison study between the Craig - Bampton model reduction method and traditional finite element method for analyzing the dynamic behavior of vibrating structures. Kieu Duc Thinh 1 Trinh Minh Hoang 2 Nguyen The Hoang 1 1 Hanoi University of Mining and Geology hanhchinhtonghop@ 2 Hanoi University of Science and Technology hcth@ ARTICLE INFO ABSTRACT Article history Many studies have shown that the method of dynamic substructuring of Received 15th Jun 2021 Craig-Bampton CB which showed the effectiveness will be used to study Accepted 16th Aug 2021 the dynamic response of the structure with respect to the excitation Available online 19th Dec 2021 frequency Dennis Klerk et al 2008 Duc Thinh Kieu et al 2019 J. Wijker Keywords 2008 Mapa et al 2021 . Its capacity to effectively reduce the number of Craig-Bampton dynamic degrees of freedom DOFs and also the computational costs will be substructuring model evaluated in comparison with computations carried out with a complete finite element FE model. The CB method is one of the most popular reduction method vibrating substructuring methods and is based on a formalization which will be structure finite element presented in this paper. In this method the internal DOFs are separated model from the boundary DOFs and decomposed onto a basis of static modes and a basis of fixed interface modes Craig et Bampton 1968 . The use of a reduced basis for the fixed interface modes makes it possible to reduce the size of the system to be solved and therefore to save the computational time compared to a classical finite element computation involving the complete system. We will apply the Craig-Bampton method to an academic structure composed of three plates connected by springs and we will be interested in the frequency response functions of the deformation energies of the different plates. To evaluate the influence of the number of modes selected on

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