This unit introduces the fundamental concepts and theory of dynamic analysis. In a first step, free vibrations are studied and the problem of determining the natural frequency of a system is addressed. This is followed by the study of harmonically excited vibrations. While initially systems with a single degree of freedom (SDOF) are considered, the theory is generalized to cover multi-degree of freedom systems. The theory is applied to explain how structures are designed against earthquake actions with specific reference to Parts 4 of the Australian loading standard AS1170 for determining earthquake loads. This unit will provide students with the following knowledge and skills: Understanding of the fundamental concepts and definitions used in structural dynamics; Ability to calculate the natural frequency of a system using equilibrium or energy methods; Ability to determine the effect of viscous damping on the response of a freely vibrating system; Ability to determine the response of a system to a harmonic excitation; Ability to apply AS1170 Part 4 in structural design against earthquake actions; Understanding of the fundamental concepts of earthquake engineering
Refer to the assessment table in the unit outline.
Students are assumed to have a good knowledge of fundamental structural analysis, which is covered in the courses of Structural Mechanics, Introduction to Structural Concepts and Design, Structural Analysis, and Finite Element Analysis.