Abstract
This chapter focuses on the systems with one degree of freedom. The dynamic response of a practical structure is complex; to study the dynamical behavior of structures, the fundamentals of vibrations of simple systems have been considered. The number of degrees of freedom possessed by the system is equal to the number of independent coordinates required to specify completely the displacement of the system. The displacement of an elastic body, such as, a beam, has to be specified at each point by using a continuous equation, so that an elastic body has an infinite number of degrees of freedom. In a dynamical problem, the number of modes of vibration in which a structure can respond is equal to the number of degrees of freedom; thus the simplest structure has only one degree of freedom.
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