![]() ![]() i.e there is nothing that oppose the motion of each component (spring and mass). The example in this section is about ideal case of single spring and single mass system and it is assumed that there is no friction, no damping. If this link does not work, try searching in YouTube with the keyword 'Mechanical Universe 16 - Harmonic Motion'). Video and get some intuitive idea on the system: Mechanical Universe 16 - Harmonic Motion. (As for the general introduction of this system, see this excelent Of course, you may not heard anything about 'Differential Equation' in the high school physics. Probably you may already learned about general behavior of this kind of spring mass system in high school physics in relation to Hook's Law or Harmonic Motion. This is one of the most famous example of differential equation. However, the physical model is exactly same. So they just show you the final conclusion of the mathematical modeling without using differential terms. The only difference is that in high school physics they don't teach anything about differential equation. The examples in this section is almost same as what you've learned in high school physics. Quarter Car Model (Car Suspension for hone wheel).Inverted Spring-Mass with Damping and Moving Base Line and External Force.Inverted Spring-Mass with Damping and Moving Base Line.Two Mass coupled Three springs with Damping.Single Mass coupled with Two spring with Common Damping. ![]() Four Masses with with Free Ends without Damping.N (e.g, 100) coupled spring without Damping.Four Masses coupled with Five spring without Damping.Three Masses coupled with Four spring without Damping.Two Masses coupled with Three spring without Damping.Matlab Solution for Single Spring System.Simple Harmonic Motion - Horizontal Motion - Damping.Simple Harmonic Motion - Horizontal Motion - No Damping.Simple Harmonic Motion - Vertical Motion - Damping and External Force.Simple Harmonic Motion - Veritical Motion - Damping.Simple Harmonic Motion - Vertical Motion - No Damping.Especially you are studying or working in mechanical engineering, you would be very familiar with this kind of model. Spring mass problem would be the most common and most important example as the same time in differential equation. ![]()
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