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Modelling of dynamic networks of thin thermoelastic beams. (English) Zbl 0773.73060

We derive a distributed-parameter model of a thin nonlinear thermoelastic beam in three dimensions. The beam can also be initially curved and twisted. Our main task is to formulate the non-homogeneous initial, boundary and node value problem associated with the dynamics of a network of a finite number of such beams. The emphasis here is on a distributed- parameter modelling of the geometric and kinematic node conditions. The forces and couples appearing in the boundary and node conditions can then be viewed as control variables.

MSC:

74E30 Composite and mixture properties
70B15 Kinematics of mechanisms and robots
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
35B37 PDE in connection with control problems (MSC2000)
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