**Credits:** 3

**Lectures:** Mondays and Wednesdays, 4:00 - 5:30 pm, 2305 G. G. Brown

**Instructor:** Jerome P. Lynch, 2380 G.G. Brown,
(734) 615-5290, `jerlynch@umich.edu`.

**Office Hours:** Monday 10:00 - 11:00 am & Wednesday 3:00 - 4:00pm [2380 G. G. Brown]

**Textbook:**

- Dynamics of Structures: Theory and Applications to Earthquake Engineering, A. Chopra (Prentice Hall,4th Edition) - Required

**Optional References:**

- Dynamics of Structures, J. L. Humar (Balkema, 2002) - Optional
- Elements of Vibration Analysis, L. Meirovitch (McGraw-Hill, 1986) - Optional
- Dynamics of Structures, R. W. Clough and J. Penzien (McGraw-Hill, 1975) - Optional

**Course requirements:**

- Regular attendance
- Weekly homework assignments
- Midterm exams
- Final exam

**Grading:** Homework 30%, midterms 40%, final 30%. These
weights are approximate; the instructor reserves the right to change them
later, as needed.

**Prerequisites:** Exposure to linear algebra and matrices. You should have seen
the following topics: matrices and vectors, (introductory) linear algebra and differential
equations.

- CEE512 Theory of Structures or equivalent (recommended but not required)

**Catalog description:** Dynamic equilibrium of structures. Response of a
single degree of freedom system to dynamic excitation: free vibration, harmonic loads,
pulses and earthquakes. Response spectra. Response of multi-degree of freedom
systems. Seismic behavior of buildings and the basis of seismic building codes.

- [Sept 01-13] Welcome to CEE511 Structural Dynamics
- [Nov 25-13] Final Exam: Friday, December 20, 2013, 8:00-10:00 am (Room 2305 GG Brown)

- Course Outline
- Course Schedule
- Class #1: Introduction and Motivation
- Class #2: Formulation of Equation of Motion
- Class #3: Free Vibration of Undamped SDOF Systems
- Class #4: Free Vibration of Damped SDOF Systems
- Class 5 Notes - SDOF System Characterization
- Class 6 Notes - Undamped Harmonic Response
- Class 7 Notes - Damped Harmonic Response
- Class 8 Notes - Identification of Structural Damping
- Class 9 Notes - Harmonic Base Motion and Accelerometers
- Class 10 Notes - Period Loads and the Fourier Series
- Class 11 Notes - Impulsive Loads and Shock Spectra
- Class 12 Notes - Numerical Integration Methods
- Class 13 Notes - Numerical Integration Methods Continued
- Class 14 Notes - Earthquakes and Response Spectra
- Class 15 Notes - Seismic Design Spectra
- Class 16 Notes - Multiple Degree-of-Freedom Systems (MDOF)
- Class 17 Notes - Modeling Distributed Parameter Systems
- Class 18 Notes - Static Condensation and Consistent Mass Matrices
- Class 19 Notes - Generalized Eigenvalue Problems
- Class 20 Notes - Rayleigh Quotient and Orthonormality of Modes
- Class 21 Notes - Modal Superposition
- Class 22 Notes - Damping in MDOF Systems
- Class 23 Notes - Modal Participation and Contributions
- Class 24 Notes - Seismic Response of MDOF Systems

- Homework 1 - due September 18, 2013
- Homework 2 - due September 25, 2013
- Homework 3 - due October 2, 2013, 2013
- Homework 4 - due October 9, 2013
- Homework 5 - due October 16, 2013
- Homework 6 - due October 23, 2013
- Homework 7 - due November 6, 2013
- Homework 8 - due November 20, 2013
- Homework 9 - due December 4, 2013
- Homework 10 - due December 11, 2013