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University of Central FloridaDepartment of Civil Engineering

CES 6209 DYNAMICS OF STRUCTURES

SPRING 2001

Catalog Description: Response analysis of single and multi-degree-of-freedom systemsto periodic and non-periodic excitations; continuous systems;response spectra; applications in structural engineering.

Objectives: Develop theory and analytical procedures to evaluate the dynamiccharacteristics of idealized structural systems and analyze simplestructures subjected to time-dependent loads.

Prerequisites: - Ordinary differential equations(by topic) - Fourier series

- Structural modeling and analysis- Numerical methods- Programming skills

Class Meeting: Mon Wed 1000 - 1115 Room ENGR 388Classes are taped

Office Hours: Mon Tue Thu 1530 - 1730

Instructor: Dr. Sashi K. Kunnath, P.E.CEE Department Room ENG 212

Phone: (407) 823-0176Fax: 823-3315 (not to be used for homework submissions)E-mail: kunnath@ucf.edu

TEXT: Dynamics of Structures by Anil Chopra, 2nd Edition, Prentice Hall

Evaluation: Homeworks: 20 %Tests (2) 40 %Project 15 %Final exam 25 %

Note: Some homework problems and the class project requirereasonable knowledge of computer programming. Spreadsheetsmay be used, however, students are encouraged to use a generalprogramming tool such as MATLAB or a programming languagesuch as FORTAN or C.

mailto:kunnath@ucf.edumailto:kunnath@ucf.edu

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COURSE OUTLINE

No. Topic Section in text Homework

1. Introduction, SDOF systems 1.1 1.6

2. Free Vibrations- Undamped Systems 2.1 2.2, 2.4,- Damped Systems 2.2 2.4 2.11, 2.14,2.16, 2.20

(HW Set 1)3. Harmonic Vibrations

- Undamped Systems 3.1 3.1- Damped Systems 3.2 3.5- Measuring Damping 3.4 3.11- Force Transmission, Isolation 3.5 3.6 3.13, 3.14- Viscous Damping 3.8 3.9 3.23

(HW Set 2)

TEST 1 (in-class)

4. Periodic Excitations- Fourier Series- Complex Fourier series (notes) to be assigned

5. Introduction to Frequency Domain Analysis (lecture notes) (HW Set 3)

6. General Dynamic Loading- Duhamel's Integral 4.1 4.2 4.5- Step and Ramp Loading 4.3 4.5 4.12- Pulse Excitations 4.6 4.12 4.18, 4.22

(HW Set 4)TEST 2 (in-class & take-home)

7. Numerical Evaluation of Dynamic 5.1 5.5Response

8. Response Spectra 6.1 6.12 6.10, 6.14, 6.17INDEPENDENT PROJECTS ASSIGNED (HW Set 5)

9. Generalized SDF systems 8.2 8.5Continuous Systems 8.3 8.6 8.8, 8.11

16.1 16.7 (HW Set 6)

10. MDOF Formulation 9.1 9.3- Free Vibration 10.1 10.15- Forced Vibration 12.1 12.7- Seismic Response 12.8 12.11- Numerical Methods (lecture notes)

FINAL EXAM (in-class & take-home)