Abstract
In the paper was pointed possibility to evaluate critical state of bridge under travelling loading, applying uniform criterion for geometrical changeability and instability of structure and 3D-time space method modelled by finite differences. The both numerical methods are formulated by present author. In the above criterion is used value of main determinant of dynamical stiffness matrix for bridge or even for task, when loading is travelling beyond span. Results shows efficacy of the method and influence of some parameters.
Highlights
Work is a major step in the study of space-time applications
A side effect of this research is this work, focused on the critical states of the dynamics of the bridge with the cross-section shown in fig. 1, with assumptions similar to those given to students
The examples made did not take into account many problems occurring in the real bridge
Summary
In the paper was pointed possibility to evaluate critical state of bridge under travelling loading, applying uniform criterion for geometrical changeability and instability of structure and 3D-time space method modelled by Finite Differences (FD) The both numerical methods are formulated by present author. It can be stated that this is a strict method, the most ingenious and effective, taking as a measure the zero value MD of the matrix K of the system, where Δ = det[K] = 0 indicates GV or loss of stability This condition was used by the author in WDKM and KMT programs [8, 2] for numerical verification, in two stages, GV of bar structures with any combination of rigid and articulated nodes. In papers [15, 16], examples of various combinations of longitudinal and transverse loads resulting in the critical state of the bar were cited, and critical load limits and critical boundary surfaces were determined
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