Abstract
A formulation of the dynamics of a collection of connected simple 1-dimensional Cosserat continua and rigid bodies is presented in terms of sections of an fibration over a 1-dimensional net. A large class of junction conditions is considered in a unified framework. All the equations of motion and junction conditions are derived as extrema of a constrained variational principle on the net and are analysed perturbatively for structures with Kirchhoff constitutive properties. The whole discussion is based on the notion of a Cosserat net and its contractions obtained by taking certain limits that transform Cosserat elements to rigid structures. Generalisations are briefly discussed within this framework.
Citation
J. Gratus. R. W. Tucker. "The dynamics of Cosserat nets." J. Appl. Math. 2003 (4) 187 - 226, 31 March 2003. https://doi.org/10.1155/S1110757X03110224
Information