Bezverkhyi O. Dynamics of the flexible continual-discrete ramified structures at co-operation with an external environment

Current dissertation presents the alternative research of discrete-continual equations of dynamics of flexible ramified designs with nonlinear-elastic and nonpotential viscoelastic characteristics of a material at co-operation with an external environment are constructed using the graph theory. By means of use spline-functions the initial-boundary tasks of dynamics are reduced to Cauchy tasks for a system of ordinary differential equations and the algorithm of their solution is worked out. As a research result a method and software is developed. Using the methods mentioned, qualitative (viscoelasticity poorly influences on the first peak of jerks tensions and well smoothies out the following ones; nonlinear-resiliency reduces the level of jerks tensions, but does not smooth them out) and quantitative power and amplitude frequency characteristics are received at various parameters of the forced movement and influence of external environment. Regularities of dynamic behavior of specific types of flexible elements of construction designs are investigated.