The present work provides necessary tools for rigid body coupling between arbitrary number of degrees of freedom of a structural finite element model using the master-slave approach. The development of corresponding multi-freedom constraint requires the ability to define rotations in tree-dimensional space. The necessary information is provided in the scope of this thesis with implementation examples with goal to impose large rotations on a structure. Large rotations can invoke strong dynamic response of a structure. >To be able to apply gradient-based optimization algorithms to dynamic analysis, a sensitivity analysis corresponding to dynamic response is developed in this thesis. Two approaches are used to calculate gradients of objective function, as each of them has its drawbacks and advantages. The used approaches are the Direct differentiation method an the Adjoint variables method.     «

The present work provides necessary tools for rigid body coupling between arbitrary number of degrees of freedom of a structural finite element model using the master-slave approach. The development of corresponding multi-freedom constraint requires the ability to define rotations in tree-dimensional space. The necessary information is provided in the scope of this thesis with implementation examples with goal to impose large rotations on a structure. Large rotations can invoke strong dynamic re...     »