MODELING OF DYNAMIC NETWORKS OF THIN THERMOELASTIC BEAMS

We derive a distributed-parameter model of a thin non-linear thermoela stic beam in three dimensions. The beam can also be initially curved a nd twisted. Our main task is to formulate the non-homogeneous initial, boundary and node value problem associated with the dynamics of a net work of a finite number of such beams. The emphasis here is on a distr ibuted-parameter modelling of the geometric and kinematic node conditi ons. The forces and couples appearing in the boundary and node conditi ons can then be viewed as control variables. The analysis of the resul ting control systems and their controllability and stabilizability pro perties is the subject of [25] and of forthcoming papers.