Mechanical Engineering, Indian Institute of Science, Bengalur, 560 012, India
"The more you think, the less material you need"
ME260 Structural Optimization: Size, Shape, and Topology Oct. 2020 to Jan. 2021
Instructor: G. K. Ananthasuresh, Room 106, ME Building, suresh at iisc.ac.in
Teaching assistant: Priyabrata Maharana, Room 106, ME Building, priyabratam at iisc.ac.in
Lectures: Tu, Th: 08:30 AM - 10:00 AM; Recitation: F: 5:15 PM - 6:15 PM; Venue: Online on Microsoft Teams

Announcement(s)
  1. Recitation classes will be on Fridays from 5:15 PM to 6:15 PM on Microsoft Teams.
  2. The first lecture will be on Oct. 1st, 2020, at 8:30 AM on Microsoft Teams.

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

After taking this course, the students will be able to:
  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.

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

Multivariable calculus and programming experience in MATLAB are preferred. Familiarity with finite element analysis is recommended.

Additional information

This course is open to doctoral and master's students interested in structural mechanics and optimization. Undergraduate students with sufficient background can approach the instructor.