Laplace Transform and Transfer Functions in Engineering

所在平台: EdxArchive

课程类别: 其他类别

大学或机构: MITx

授课老师: Jeremy Orloff Haynes Miller

课程主页: https://www.edx.org/archive/laplace-transform-transfer-functions-mitx-18-03lx

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课程简介

Learn to understand mechanical and electrical systems’ behavior using the frequency domain and the Laplace Transform.

课程大纲

  • How to pass back and forth between the time domain and the frequency domain using the Laplace Transform and its inverse.
  • Ways to develop a toolbox for computing with the Laplace Transform.
  • How to describe the behavior of systems using the pole diagram of the transfer function.
  • Modeling for systems that have feedback loops.
  • Modeling sudden changes with delta functions and other generalized functions.

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课程详情

This course is about the Laplace Transform, a single very powerful tool for understanding the behavior of a wide range of mechanical and electrical systems: from helicopters to skyscrapers, from light bulbs to cell phones. This tool captures the behavior of the system and displays it in highly graphical form that is used every day by engineers to design complex systems.

This course is centered on the concept of the transfer function of a system. Also called the system function, the transfer function completely describes the response of a system to any input signal in a highly conceptual manner. This visualization occurs not in the time domain, where we normally observe behavior of systems, but rather in the “frequency domain.” We need a device for moving from the time domain to the frequency domain; this is the Laplace transform.

We will illustrate these principles using concrete mechanical and electrical systems such as tuned mass dampers and RLC circuits.

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