Computing the Properties and Displacement Response of Multi-degree of Freedom Structures under Different Circumstances

Abstract

To mitigate or avoid losses caused by earthquakes, it is necessary to understand them deeply. In our project, two idealized second-story structures with different properties with multi-degree of freedom-free vibration will be analyzed. The displacement response of the first structure is analyzed under the conditions with and without an available load by the modal superposition method. As a result, the properties, including the natural frequencies, mode shapes, and the second-floor story shears, have also been obtained. Moreover, the same properties of the second structure are obtained, too, except for the story shear. Moreover, the displacement response of each phase of the impulsive loading of the second structure is also computed by using Duhamel Integral.