Mechanical Engineering, Indian Institute of Science, Bengaluru, 560 012, India
"The more you think, the less material you need"
ME260
Structural Optimization: Size, Shape, and Topology
Aug. 2024 to Nov. 2024
Instructor: G. K. Ananthasuresh, Room 106, ME Building, suresh at iisc.ac.in
Teaching assistant: to be decided, someone at iisc.ac.in
Lectures: Tu, Th: 08:30 AM - 10:00 AM;
Venue: Mechanical Engineering MMCR

1. The first lecture will be on Aug. 6th at 8:30 AM in ME MMCR.

Syllabus

A quick overview of finite-variable optimization and calculus of variations. Analytical size optimization of bars and beams for stiffness, flexibility, strength, and stability criteria in the framework of variational calculus. Gradient-based computational optimization of trusses, frames, and continuum structures. Sensitivity analysis for parameter, shape, and topology variables. Shape optimization. Topology optimization. Design parameterization for topology optimization of coupled structural problems involving thermal, electro-thermal, electrostatic, fluid, and other multiphysics domains.

Course objectives

1. Formulate structural optimization problems in the framework of calculus of variations as well as finite-variable optimization.
2. Become familiar with principles of structural optimization and be able to solve them analytically when it is possible and computationally in most cases.
3. Read and understand the contemporary literature on structural optimization in general and topology optimization in particular.
4. You will also understand the story of your life in variational framework from a teleological perspective a la Ted Chiang's celebrated novella of the same name, and the movie, Arrival.

Books and references

1. NPTEL MOOC: https://nptel.ac.in/courses/112/108/112108201/
2. Haftka, R. T. and Gurdal, Z., "Elements of Structural Optimization," Kluwer Academic Publishers, 1992.
3. Bendsoe, M. P. and Sigmund, O., "Topology Optimization: Theory, Methods, and Applications," Springer, 2003.
4. Haug, E. J., Choi, K. K., and Komkov, V., "Design Sensitivity Analysis of Structural Systems," Academic Press, 1986.

Prerequisites

Additional information