Construction of discrete-continual models in structure analysis for extreme dynamic loadings

We propose a new method for constructing design models of high-rise buildings and structures, which is based on the treatment of the set of bearing structures as discrete-continual inelastic damageable system admitting large spatial displacements and rotations. We derive a relation for the virtual work functional with respect to increments of integral stress characteristics, which can be viewed as a starting point for solving applied problems of simulation of structural dynamics under the action of extreme forces. To take into account the processes of damage and failure of buildings and structures, we propose a generalized scheme for constructing a nonlinear physical model of deformation on the level of integral stress characteristics in the bearing structures of a storey. As an example of application of this model, we consider the problem of dynamic behavior of a multistorey building under a spatial seismic load.