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2021 Complete guide on optimization problems in Mechanics
Rating: 4.2 out of 5(62 ratings)
8,960 students

2021 Complete guide on optimization problems in Mechanics

Learn how to formulate and solve your problems in GAMS
Created byOptimization Team, Opt .
Last updated 1/2021
English
English [Auto],

What you'll learn

  • How to apply Optimization Algorithms in Real-World Mechanical Engineering Problems
  • How to mathematically formulate your optimization problems in GAMS?
  • The classic optimization problems in Mechanical Engineering

Course content

2 sections • 21 lectures • 3h 5m total length

  • Intro and Objectives10:43

    This course will focus on formulation of real-world statics problem in the form of engineering optimization problems and to provide a methodological approach to deal with these problems in a smart, practical way.

    This lecture gives an introduction and overview of the whole course to help students to familiar themselves with the road map of the course.  


  • Optimal Decision Making Elements7:41
  • Find the minimum spanning tree:
  • Statics: Force, Energy, and Equilibrium11:33

    This lecture gives you an interesting graphical idea about the force, energy, equilibrium and the relation between these concepts.


  • Equilibrium and Stability (Rolling Ball)
  • Equilibrium-Example14:20

    This lecture gives you a problem solving skill to deal with force, energy, and equilibrium problems.

  • Equilibrium-Optimization Code13:39

    In this lecture you will be able to write an optimization code in GAMS to solve an energy, force, and equilibrium problem and to find the optimized result for the problem discussed in the previous lecture.


  • Dynamics, Simulation and Control - Part I13:26

    This lecture describes the main concepts in Dynamics problems including dynamics, mathematical modelling, simulation, and control engineering.

  • Dynamics, Simulation and Control - Part II14:20

    This lecture describes the main concepts in Dynamics problems including dynamics, mathematical modelling, simulation, and control engineering.


  • Concepts in Dynamics
  • Real-world Example - Control of Spacecraft position13:09

    In this lecture, an interesting real-world example on position control of a spacecraft is discussed.

  • Real-world Example-Optimal Pressure Ratio for Aircraft Engines-Part I15:29

    Formulate an engineering optimization problem to maximize net thrust by selecting the compressor pressure ratio in a gas turbine engine, and plan to solve it with a GAMS optimization code.

  • Real-world Example-Optimal Pressure Ratio for Aircraft Engines-Part II-GAMS Code17:36

    This lecture demonstrates maximizing net work by choosing the optimal compressor pressure ratio for an aircraft engine using GAMS code and nonlinear programming, with model setup and results analysis.

  • Real-world Example-Optimal Pressure Ratio for Aircraft Engines-Part III-Analysis8:47
  • Aircraft Engine Performance Optimization

Requirements

  • Students should have preliminary knowledge about mathematics, physics, and preferably mechanical engineering

Description

This course presents a methodological and systematic set of guidelines and applications of optimization algorithms (e.g. GAMS) for real-world problems in mechanical engineering.

It provides an invaluable resource for undergraduate/postgraduate students as well as practicing engineers working in the mechanical engineering sector

It contains several applied case-studies, industrial and practical examples.

In this course, you will learn:

  • The basics of optimization techniques applied to mechanical engineering problems.

  • The problem-solving skill that enables you to deal with the practical aspects of optimization and mechanical engineering.

  • How to formulate a real-world mechanical engineering problem as an engineering optimization problem.

  • How to write optimization codes for applying on mechanical engineering problems.

  • How to deal with real problems from industry and the approach that should be taken to solve them.


Who this course is for:

  • undergraduate/postgraduate students as well as practicing engineers working in mechanical engineering sector

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