Structural Dynamics
CE57300
Credit Hours:
3Learning Objective:
By the end of the course, you will be able to:
- Model dynamic systems and describe how they respond to various loadings.
- Determine the dynamic characteristics of a variety of linear structural systems.
- Obtain and solve the equations of motion for a dynamic system modeled as a linear system.
Description:
Analysis of structural members and systems subject to dynamic loads such as wind and earthquake loads; basic theory for single-degree-of-freedom and multi-degree-of-freedom analytical models of civil engineering structures; free vibration, harmonic and transient excitation, foundation motion, response spectrum, frequency domain analysis, Lagrange's equation, modal analysis, lumped parameter methods, computer methods.
Topics Covered:
| Week | Topic |
|---|---|
| 1 |
Equation of Motion; Free Body Diagrams; Free Vibration Response Response to Harmonic Loading Matlab Common Commands (Refresher) |
| 2 |
Half-power Bandwidth Method; Response to Periodic Loading Frequency Response Function; Impulse Response Function; Step Response; Ramp Response; Finite Ramp Response Rectangular Pulse; Response Spectra; Intro to State Space |
| 3 |
Frequency Domain Analysis; Fourier Transform Matlab Introduction to Simulation |
| 4 |
Practice Exam Exam I (in class) Numerical Solution of the EOM |
| 5 |
Response Spectra; Design Sprctra Generalized SDOF Systems; Boundary Conditions MDOF Systems; Equations of Motion |
| 6 |
Hamilton's Principle, Lagrange's Equation Free Vibration Response Eigenvalue problem |
| 7 |
Orthogonality of Modes, Modal matrix Practice Exam Exam II (in class) |
| 8 |
Modal Coordinates Damping in MDOF Systems, Mode Superpostions |
| 9 |
Frequency Domain Analysis Vibration Absorber Modal Participation Factors, Stat Space Form |
| 10 |
Assumed Modes Methon Practice Exam Matlab/Simulink Implementation |
| 11 |
Exam III (in class) Lagrange's Equations for Distributed Systems Matrix Methods for Dynamic Modeling |
| 12 |
Model Reduction Methods Experimental Modal Analysis Response Spectrum Analysis |
| 13 |
Mathematical Models of Continuous Systems Boundary Conditions; Torsional Systems Hamilton's Principle for Continuous Systmes |
| 14 |
Continuous Systems Practice Exam |
| 15 |
Exam IV |
| 16 |
Base Isolation Project Presentations |
Prerequisites:
Able to solve differential equations.
Understanding of matrix operations and eigensolutions.
Applied / Theory:
40/60
Web Address:
https://purdue.brightspace.com
Exams:
Will use online proctoring.
Textbooks:
Structural Dynamics: Theory and Computation by Paz, Mario, Kim, and Young Hoon (2019). 6th edition (any edition can be used, but must check problems and units)
Computer Requirements:
Use of MATLAB/SIMULINK will be expected to complete the computer simulations assigned as part of certain homework assignments. Any version of MATLAB/SIMULINK will be suitable for these simulations. OCTAVE is allowed, although help cannot be guaranteed; MATHCAD is not acceptable for this course. You can access MATLAB through the Purdue University MATLAB Portal.