The paper presents numerical analysis of harmonically excited vibration of a cable-stayed footbridge caused by a load function simulating crouching (squats) while changing the static tension in chosen cables. The intentional synchronized motion (e.g., squats) of a single person or group of persons on the footbridge with a frequency close to the natural frequency of the structure may lead to the resonant vibrations with large amplitudes. The appropriate tension changes in some cables cause detuning of resonance on account of stiffness changes of structures and hence detuning in the natural frequency that is close to the excitation frequency. The research was carried out on a 3D computer model of a real structure – a cable-stayed steel footbridge in Leśnica, a quarter of Wrocław, Poland, with the help of standard computer software based on FEM COSMOS/M System.
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This paper deals with a description of the behavior of the two-phase soil layer (column) under periodic load. The soil layer (column) is fully saturated with single pore fluid and treated by the methods of continuum mechanics. Description of motion and deformation of soil is introduced as a system of equations consisting of governing dynamic consolidation equations based on Biot theory, selected constitutive and kinematic relations for small strains and rotation. The solution and results of simple one dimensional numerical analysis of the fully saturated layer under cyclic load are included. Also the so-called dynamic coefficient which shows amplification or attenuation of dynamic response is considered.
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