Efeitos de um terremoto em um prédio de vários andares: uma modelagem matemática sobre sistemas de equações diferenciais

Abstract

The present work addresses an application of systems of linear differential equations in a case, where we will mathematically model the effect of an earthquake on a multistory building. To do so, we will initially present the fundamental concepts of linear differential equations. Following, using some concepts of Linear Algebra, we will present Systems of Differential Equations in their matrix representation. Finally, we will use two basic concepts of Classical Physics: Newton's Second Law and Hooke's Law to demonstrate how the concepts of Linear Differential Equation Systems can be used to explain the mechanics of how an earthquake can affect the structure of a multi-building. floors.