58:259 MECHANICAL DESIGN IN STRUCTURES
SPRING 2002; K. K. Choi
I.
LECTURE: 10:30 - 11:20 a.m., MWF 3026 SC
OFFICE HOURS (at any time) by Appointments 5-5684 or kkchoi@ccad.uiowa.edu
II.
TEXT: Design Sensitivity Analysis of Linear and Nonlinear Structural Systems,
K. K. Choi and N. H. Kim. Copy is available at “Zephyr Copies” at Downtown.
III. COURSE DESCRIPTION: Discrete and continuum variational equilibrium
equations, discrete and continuum design sensitivity analysis for static, eigenvalue,
acoustic, and thermo-elasticity problems, design sensitivity analysis of structural
dynamics, differentiability theory, shape design sensitivity analysis, configuration
design sensitivity analysis, design sensitivity of nonlinear structural systems.
Prerequisites: 58:213, 58:150, and 58:115.
IV. TOPICS TO BE COVERED
1. Variational Methods of Structural Systems
 Principle of Virtual Work
 Eigenvalue Problem
 Frequency Response Problem
 Thermo-elastic Problem
2. Variational Equations and Finite Element Methods
3. Discrete Design Sensitivity Analysis
 Static Response Design Sensitivity
 Eigenvalue Design Sensitivity
4. Continuum Sizing Design Sensitivity Analysis
 Static Response Design Sensitivity
 Eigenvalue Design Sensitivity
 Frequency Response Design Sensitivity
 Structural–Acoustic Design Sensitivity Analysis
5. Continuum Shape Design Sensitivity Analysis
 Material Derivatives
 Static Response Design Sensitivity
 Eigenvalue Design Sensitivity
6. Configuration Design Sensitivity Analysis
 Material Derivatives
 Configuration Design Sensitivity Analysis
7. Design Sensitivity Analysis of Nonlinear Structural Systems
V. REFERENCES:
1. Applied Optimal Design, Haug, E.J. and Arora, J.S., John Wiley & Sons, 1979.
2. Problems and Methods of Optimal Structural Design, Banichuk, N.V., Plenum Press,
1980.
3. Optimization of Distributed Parameter Structures, Haug, E.J. and Cea, J. (Eds.),
Sijthoff & Noordhoff, Alphen aan den Rijn, The Netherlands, 1981.
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Foundations of Structural Optimization: A unified Approach, Morris, A.J. (Ed.),
Wiley, 1982.
New Directions in Optimum Structural design, Atrek, E., Gallagher, R.H., Ragsdell,
K.M., and Zienkiewicz, O.C. (Eds.), John Wiley & Sons, 1984.
Elements of Structural Optimization, Haftka, R.T. and Kamat, M.P., Martinus
Nijhoff Publishers, The Hague, 1985.
The Optimum Shape: Automated Structural Design, Bennett, J.A. and Botkin, M.E.
(Eds.), Plenum Press, New York, 1986.
Sensitivity Analysis in Engineering, Adelman, H.M. and Haftka, R.T. (Eds.), NASA
Conference Publication 2457, NASA Scientific Information Branch, 1987.
Computer Aided Optimal Design: Structural and Mechanical Systems, Mota Sores,
C.A., NATO ASI Series F, Vol.27, Springer-Verlag, 1987.
Introduction to Optimal Design, Arora, J., McGraw-Hill, 1989.
Numerical Optimization Techniques for Engineering Design with Applications,
Vanderplaats, G., McGraw-Hill, 1984.
Recent Advances in Multidisciplinary Analysis and Optimization, NASA
Conference Publication 3031, 1988.
Optimal Shape Design for Elliptic Systems, Pironneau, O., Springer Verlag, 1984.
Discretization Methods and Structural Optimization-Procedures and Applications,
Eschenauer, H.A. and Thierauf, G. (Eds.), Springer Verlag, 1988.
Structural Optimization Under Stability and Vibration Constraints, Zyczkowski, M.
(Ed.), CISM No. 308, Springer Verlag, 1989.
Engineering Optimization in Design Processes, Eschenauer, H.A., Mattheck, C.,
Olhoff, N. (Eds.), Lecture Notes in Engineering, Springer Verlag, 1990.
Structural Optimization: Status and Promise, Kamat, M.P. (Ed.), Progress in
Astronautics and Aeronautics, Volume 150, AIAA, 1993.
Optimization of Large Structural Systems, Rozvany, G.I.N. (Ed.) NATO Asi Series,
Kluwer Academic Publishers, 1993.
Advances in Structural Optimization, Herskovits, J. (Ed.), Solid Mechanics and Its
Applications, Kluwer Academic Publishers, 1995.
VI. HOMEWORKS
VII. TWO PROJECTS:
Numerical Implementations of a DSA Theory and Verification Using Examples
(Submit Reports)
VIII.
FINAL EXAM