3. Mass-spring diagrams
3.1 Basic equation
In all cases, vibrations involve a permanent exchange between kinetic energy (associated with the vibratory speed and mass of the moving elements) and deformation energy (associated with the dynamic stresses linked to the rigidity of the elements deformed by the vibratory motion).
The most elementary way of representing these exchanges is to consider the oscillation of a rigid mass M (pure kinetic energy) supported by a massless spring of stiffness K (pure deformation energy). Simply write down the equilibrium of the system to find the well-known elementary equation, noting the second derivative of the...
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Mass-spring diagrams
Finite element vibration calculations
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Bibliography
Norms and standards (non-exhaustive list)
- Vibration and shock – Experimental determination of mechanical mobility – Part 1: Basic definitions and transducers - ISO 7626-1 - 1986
- Acoustics – Characterization of structure-borne noise sources to estimate the noise radiated by the structures to which they are attached – Velocity measurement at contact points on elastically mounted machines - ISO 9611 - 1996
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