The dynamics of Cosserat nets

[摘要] A formulation ofthe dynamics of a collection of connectedsimple 1-dimensional Cosserat continua and rigid bodies is presented in terms of sections of anSO(3)fibration over a 1-dimensional net. A large class of junction conditions is considered in a unified framework. All the equations of motionand 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. Generalisationsarebriefly discussed within this framework.

[学科分类] 应用数学