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1: First and Second Order Systems; Analysis; and MATLAB Graphing

Last updated

Mar 22, 2021
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- Licensing
- 1.1: Introduction

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1.1: Introduction
1.2: LTI Systems and ODEs
Linear, time-invariant (LTI) systems and ordinary differential equations (ODEs)
1.3: The Mass-Damper System I - example of 1st order, linear, time-invariant (LTI) system and ordinary differential equation (ODE)
1.4: A Short Discussion of Engineering Models
It is important for us to recognize that the mass-damper system is not the actual system, but only an approximate idealized physical model of the actual system. The same general observation applies for almost any idealized physical model and associated mathematical model developed for engineering purposes: the physical model is, at best, a reasonably accurate approximation of the actual physical system.
1.5: The Mass-Damper System II - Solving the 1st order LTI ODE for time response, given a pulse excitation and an IC
1.6: The Mass-Damper System III - Numerical and Graphical Evaluation of Time Response using MATLAB
1.7: Good Engineering Graphical Practice
1.8: Plausibility Checks of System Response Equations and Calculations
It is important always to check your mathematical, numerical, and computational operations and results in every way possible. An important type of check for any problem with physical results is the plausibility check, known more colloquially as reality check and sanity test. Essentially you examine the results to determine if they are physically plausible (believable, credible, reasonable). Do the results make sense physically?
1.9: The Mass-Damper-Spring System - A 2nd Order LTI System and ODE
1.10: The Mass-Spring System - Solving a 2nd order LTI ODE for Time Response
1.11: Homework problems for Chapter 1

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