Národní úložiště šedé literatury Nalezeno 3 záznamů.  Hledání trvalo 0.00 vteřin. 
Investigation of aeroelastic bridge instabilities using the multidimensional Fokker-Planck equation and wind-tunnel experiment
Král, Radomil
Stability of bridges and other line-like engineering structures is an important part of their overall design. It is also still of great interest nowadays due to a higher demand on increasing the span while maintaining an economical cost and service. During the previous decades sophisticated methods for the aeroelastic instability prediction have evolved and successfully applied to the real structures and many questions have been adequately answered.
Solution of the multi-dimensional Fokker-Planck by means of finite element method
Náprstek, Jiří ; Král, Radomil
As a demonstrative example, the two-degree-of-freedom system is investigated. A combination of Rayleigh\nor Van der Pol with Duffing types of differential equations are assumed characterized by the\nnonlinear behavior both in the stiffness and damping. This system is subjected to the additive and\nthe multiplicative Gaussian white noise which represents a part of non-linear aero-elastic effects in\nthe system.
Finite element solution of the nonlinear 2DOFs dynamic system under random Gaussian excitation using the Fokker-Planck equation
Král, Radomil ; Náprstek, Jiří
Papers published until now are dealing with single degree of freedom (SDOF) systems. So the respective FP equation includes two independent space variables only (x1, x2). Nevertheless stepping over this limit and entering into a true multi-dimensionality a number of specific problems must be overcome. While in usual FEM practice the number of space variables is two or three, investigating FP equation, so 2n independent space variables emerges. It means for instance 12 space variables when random motion of a rigid body in space with six degrees of freedom is studied. Many requirements should be respected which are out of a conventional practice of Finite Element employment.

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