Abstract
Simple systems with properties constructed by lumped elements as masses, springs and dampers are a good playground to understand and investigate the physics of dynamic systems. Critically damped systems can be of practical relevance, because the motion returns to rest in the shortest possible time, which is useful if periodic motion shall be prevented. Examples for damping processes are: structural or hysteretic damping, coulomb or dry-friction damping, and velocity-squared or aerodynamic drag damping. The harmonic oscillator is also named as single degree of freedom system. Fourier analysis and methods for investigating the random processes and the description of mechanical systems by impulse response or frequency response functions is an important toolset for the description of vibroacoustic systems. Mechanical set-ups with multiple degrees of freedom are multiple-input–multiple-output systems. Typical numerical system equations have millions of degrees of freedom.
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