DYNAMIC RESPONSE ANALYSIS OF A 3-STORY SHEAR FRAME SUBJECTED TO HARMONIC LOADING: AN ANALYTICAL APPROACH

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/w1. These frequency-response curves show three resonance conditions at w=w1, w=w2 and w=w3; 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.

Keywords

• harmonik yükleme
• kayma çerçevesi
• frekans-tepki eğrisi
• normalleştirilmiş tepki
• çok serbestlik dereceli sistem (çsds)
• harmonic loading
• shear frame
• frequency-response curves
• normalized response
• mdof system