Abstract
The paper deals with dynamic problems of discrete-continuous systems
with local nonlinearities, the analysis of which is reduced to solving
nonlinear differential equations with a retarded argument. This concerns
the discrete-continuous systems subject to torsional, longitudinal,
or shear deformations, where the equations of motion for elastic
elements are classical wave equations. It is assumed that the
characteristics of local nonlinearities are of a soft-type and
in the paper they are described by four nonlinear functions.
After a short general description of the approach used, the
detailed considerations and numerical results are presented
for a multimass discrete-continuous system with a local nonlinearity
having the characteristics of a soft-type subject to shear deformations.