In this chapter, we look at an analogue of simple harmonic motion in systems with many degrees of freedom. This is not only of interest in itself, but it also gives a good approximation to the behaviour near equilibrium of a general class of mechanical systems.
With just one degree of freedom, one can characterize simple harmonic motion by the equation of motion
that generates the motion. The constant ω is the angular frequency of the oscillations. Angular frequency is measured in radians per second and is related to frequency ν, which is measured in hertz (Hz), or cycles per second, by ω = 2πν.
Analytical Dynamics Normal Mode Characteristic Equation Angular Frequency Fundamental Solution
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.