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2021 Faculty Courses School of Engineering Department of Mechanical Engineering Graduate major in Mechanical Engineering

Space Systems Analysis B

Academic unit or major
Graduate major in Mechanical Engineering
Instructor(s)
Hiroshi Furuya
Class Format
Lecture
Media-enhanced courses
-
Day of week/Period
(Classrooms)
1-2 Thu
Class
-
Course Code
MEC.M531
Number of credits
100
Course offered
2021
Offered quarter
3Q
Syllabus updated
Jul 10, 2025
Language
English

Syllabus

Course overview and goals

To design spacecraft systems, it is important to understand mathematical theories of optimization, multi-purpose optimization, multidisciplinary optimization, and the concept of Pareto optimal solutions. This lecture starts with the basic theory of optimization, and covers approaches to Pareto optimization and robust optimization, also covering methods of applying heuristic optimization techniques, etc. to the optimal design of complex systems.

Course description and aims

[Objectives] Students will gain an understanding of engineering optimization techniques based on approaches such as the concept of Pareto optimal solutions and robust design needed for designing optimal systems under design requirements given to spacecraft systems. Students will also learn to apply these optimization techniques to design.
[Topics] Focusing on topics such as the mathematical theory of optimization, approximate methods for the optimization of spacecraft systems, heuristic optimization techniques, multipurpose optimization, and multidisciplinary optimization, we will cover application techniques for the optimization of spacecraft system structures, while gaining an understanding of applications for general optimization design.

Keywords

Structural optimization. Optimal design, Heuristic optimization, Multi-objective optimization, Multi-disciplinary optimization, Algorithms

Competencies

  • Specialist skills
  • Intercultural skills
  • Communication skills
  • Critical thinking skills
  • Practical and/or problem-solving skills

Class flow

Aside from lectures, students will be given exercises and homework (submit as report) as necessary to deepen their understanding.

Course schedule/Objectives

Course schedule Objectives
Class 1 Basic Concepts of Numerical Optimization for Engineering Design Studying basic concepts of optimization, and treatment of optimization of one variable functions
Class 2 Unconstrained Function Optimization Treatment of unconstrained functions of N-Variables
Class 3 Constrained Function Minimization Techniques Studying constrained functions of N-Variables. Linear Programming
Class 4 Sequential Unconstrained Techniques Studying Sequential Unconstrained Techniques
Class 5 Direct Methods Understanding Direct Methods
Class 6 Approximation Techniques Studying Approximation Techniques
Class 7 Multi-Objective Optimization and Structural Optimization and Multi-disciplinary Optimization Understanding Multi-Objective Optimization and Structural Optimization and Multi-disciplinary Optimization

Study advice (preparation and review)

To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.

Textbook(s)

Numerical Optimization Techniques for Engineering Design, Garret N. Vanderplaats

Reference books, course materials, etc.

Numerical Optimization Techniques for Engineering Design, Garret N. Vanderplaats

Evaluation methods and criteria

Students' achievement scores are determined by final examination (about 60%) plus exercise and reports (about 40%).

Related courses

  • MCS.T302 : Mathematical Optimization
  • IEE.A430 : Numerical Optimization
  • MEC.H231 : Design Engineering
  • MEC.K331 : Fundamentals of Computer Aided Engineering
  • MEC.G532 : Taguchi Method
  • MEC.C432 : Structural Integrity Assessment

Prerequisites

Knowledge of analytical mathematics and structural analysis, and experience for computational programming are strongly recommended.

Contact information (e-mail and phone) Notice : Please replace from ”[at]” to ”@”(half-width character).

furuya.h.ab[at]m.titech.ac.jp

Office hours

Contact by email for appointment.