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Section
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Mechanics
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Title
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Principles of flexible body general dynamic equations derivation based on the Craig-Bampton model and of their practically significant approximations
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Author(-s)
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Yudakov A.A.a
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Affiliations
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ZAO (Close Corporation) “Avtomekhanika’’a
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Abstract
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In the article dynamic equations of motion of flexible bodies' large displacement within a multibody system with small deformations are given. In the process of derivation finite element method (FEM) and the Craig-Bampton method of FEM model's matrices reduction are used. No additional approximations are involved, thus obtaining the most general equations in given problem definition. Analysis of difficulties arising in practical using of the derived general dynamic equations is conducted, and ways to overcome those are suggested. Modified equations derivation using more general approximation than is assumed in literature is presented. An example of derived flexible structures' dynamic equations software realization is given.
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Keywords
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flexible body, finite element method, Craig-Bampton model, modal matrix, dynamic equations, constraint equations, multibody system
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UDC
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539.3
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MSC
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74H10, 70E55
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DOI
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10.20537/vm120312
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Received
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28 April 2012
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Language
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Russian
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Citation
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Yudakov A.A. Principles of flexible body general dynamic equations derivation based on the Craig-Bampton model and of their practically significant approximations, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2012, issue 3, pp. 126-140.
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References
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- Yudakov A.A. General equations of flexible bodies motion, based on finite element method and Craig-Bampton model, High Technologies, Education, Industry: Trans. Of XI Int. Sci.-Pract. Conf., Saint Petersburg State University, St. Petersburg, 2011, vol. 4, pp. 135-142.
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