NUMERICAL ANALYSIS OF NONLINEAR VIBRATIONS OF ELASTICALLY SUPPORTED DEFORMABLE SYSTEM WITH RESTRICTIVE SUPPORTS AT THE BOUNDARIES
In the framework of a common objective: the simulation of nonlinear vibrations of continuous floating bridge system on a separate floating supports with additional restrictive supports at the ends, affected by the single moving multi-axis car, solved a particular problem. The authors developed special technique for modeling nonlinear oscillations of elastically supported deformable system with restrictive supports at the ends, which is the design scheme of the bridge's span structure under the action of a single moving force, changing in time. Computational algorithm for solving partial differential equations with discontinuous boundary conditions is proposed for modeling the constructively nonlinear oscillations of an elastically supported deformable system. To solve partial differential equation with discontinuous boundary conditions, Legendre polynomials are applied. Based on the developed methodology, new computational program within the “Matlab” environment was used to perform numerical studies of the behavior of the dynamic system depending on a wide range of it's parameters and geometry.