Step by Step Optimization problems in Mechanical Engineering
3.5 (20 ratings)
Course Ratings are calculated from individual students’ ratings and a variety of other signals, like age of rating and reliability, to ensure that they reflect course quality fairly and accurately.
3,179 students enrolled

Step by Step Optimization problems in Mechanical Engineering

Hows and Whys? (Elementary)
3.5 (20 ratings)
Course Ratings are calculated from individual students’ ratings and a variety of other signals, like age of rating and reliability, to ensure that they reflect course quality fairly and accurately.
3,179 students enrolled
Last updated 4/2020
English
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This course includes
  • 3 hours on-demand video
  • 11 downloadable resources
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
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What you'll learn
  • How to apply Optimization Algorithms in Real-World Mechanical Engineering Problems
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
Course content
Expand all 21 lectures 03:05:04
+ Applied optimisation in mechanical engineering
11 lectures 02:20:43

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.  


Preview 10:43
Optimal Decision Making Elements
07:41

Answer the following questions

Find the minimum spanning tree:
4 questions

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


Preview 11:33

Before going through this quiz, make sure that you have gone through lecture 2 in detail.

Equilibrium and Stability (Rolling Ball)
2 questions

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

Equilibrium-Example
14:20

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.


Equilibrium-Optimization Code
13:39

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

Dynamics, Simulation and Control - Part I
13:26

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


Dynamics, Simulation and Control - Part II
14:20

Choose the correct item

Concepts in Dynamics
1 question

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

Real-world Example - Control of Spacecraft position
13:09
Real-world Example-Optimal Pressure Ratio for Aircraft Engines-Part I
15:29
Real-world Example-Optimal Pressure Ratio for Aircraft Engines-Part II-GAMS Code
17:36
Real-world Example-Optimal Pressure Ratio for Aircraft Engines-Part III-Analysis
08:47

Test your understanding from lectures 8-10

Aircraft Engine Performance Optimization
2 questions
+ General algebraic modelling systems (GAMS)
10 lectures 44:21

Before you start this module please have quick look at this video

Pre-Class note (Read before you start)
00:27

How to install GAMS ?

GAMS installation
06:15
GAMS structure
04:56
Linear programming in GAMS
09:30

you will learn how to define a mixed-integer linear problem as an optimization problem in GAMS.

Mixed integer linear programming
07:51

Quadratic programming (QP) is the process of solving a special type of mathematical optimization problem—specifically, a (linearly constrained) quadratic optimization problem, that is, the problem of optimizing (minimizing or maximizing) a quadratic function of several variables subject to linear constraints on these variables. Quadratic programming is a particular type of nonlinear programming.


Quadratic programming
02:49

In a given sphere find a cylinder of maximal volume

QCP2
02:40
Min travel time
03:36

(Steiner) In the plane of a triangle, find a point such that the sum of its distances to the vertices of the triangle is minimal.

Steiner
03:15

A and B are two given points on the same side of a line ℓ. Find a point D on ℓ such that the sum of the distances form A to D and from D to B is a minimum.

Heron problem
03:02