Abstract
The multi-story buildings are likely to be subjected to various types of dynamic loadings. In the present study, a three-story shear frame subjected to a harmonic force at the top floor is studied and the equations for the floor displacements as functions of time have been obtained. Then normalized response amplitudes under the applied harmonic loading is plotted against the frequency ratio w /w 1 . These frequency-response curves show three resonance conditions at w =w 1 , w =w 2 and w =w 3 ; at these exciting frequencies the steady-state response is unbounded. At other exciting frequencies, the vibration is finite and could be calculated from the derived equations. The structure experiences resonance at some frequency if the structure is excited with harmonic loading over a range of frequencies. When the frequency of the excitation is equal to the natural frequency of the structure, resonance occurs. The structure experiences its largest response at the resonant frequency as compared to any other frequency of loading.
Highlights
Shear frames are used in all the major reinforced concrete buildings and structures in all over the world
A sinusoidal external force with a certain frequency applied to a system is considered as harmonic excitation
The entire shear frame was modelled as Multi Degree of Freedom (MDOF) system having rigid beams and lumped masses of each story placed at the middle of the beams
Summary
Shear frames are used in all the major reinforced concrete buildings and structures in all over the world. A substantial research exists on response of shear frames and buildings subjected to wind, wave, earthquake and impulsive loads. (Tuken, 2018) analytically formulated the response of a 3-story shear frame subjected to impulsive loading He applied a rectangular pulse force at the top floor and obtained the equations for the floor displacements as functions of time. Three and five stories steel frame buildings with and without three lateral loads resisting systems that are laminated composite plate shear walls, steel bracings and steel plate shear walls subjected to dynamic loads are examined for total displacement and equivalent stresses with respect to time history graphs, natural frequencies and mode shapes. The entire shear frame was modelled as Multi Degree of Freedom (MDOF) system having rigid beams and lumped masses of each story placed at the middle of the beams
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