Geodesic
Principles of flexible body general dynamic equations derivation based on the Craig--Bampton model and of their practically significant approximations
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2012), pp. 126-140

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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.
Keywords: flexible body, finite element method, Craig–Bampton model, dynamic equations, multibody system.
Mots-clés : modal matrix, constraint equations 
@article{VUU_2012_3_a11,
     author = {A. A. Yudakov},
     title = {Principles of flexible body general dynamic equations derivation based on the {Craig--Bampton} model and of their practically significant approximations},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {126--140},
     publisher = {mathdoc},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2012_3_a11/}
}
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A. A. Yudakov. Principles of flexible body general dynamic equations derivation based on the Craig--Bampton model and of their practically significant approximations. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2012), pp. 126-140. http://geodesic.mathdoc.fr/item/VUU_2012_3_a11/