INS 4031E - Dynamics of Structures

Course Objectives

Analysis and design of structures under the influence of time-dependent loads.
To introduce the behavior under time-dependent loads, the determination of this behavior and the basic dynamic system characteristics that control this behavior to students who understand the analysis of structural systems under time-dependent loads.

Course Description

Time Dependent Dynamic Loads, Essential Characteristics of a Dynamic System
Methods of Discretization, Equation of Motion, Mass-Spring-Damper, System External Force
Single Degree of Freedom Systems (SDOF): Undamped Free Vibration, Viscously Damped Free Vibration
SDOF Response to Harmonic and Periodic Excitations
Numerical Evaluation of SDOF Dynamic Response (Time Stepping Methods)
Numerical Evaluation of SDOF Dynamic Response (Newmark’s Method)
Earthquake Response of SDOF Linear Systems
Response Spectrum Concept
Multi Degree of Freedom Systems (MDOF): Equations of Motion
MDOF Free Vibration, Modal Analysis
Numerical Evaluation of MDOF Time-Stepping Methods
Earthquake Analysis of MDOF Systems, Response Spectrum Analysis
Numerical Evaluation of MDOF Dynamic Response
Systems with Distributed Mass and Elasticity