cdc,
1) Even if you rigidly couple all components in your rack, each component will still have a different resonant frequency due to differing mass, volume, materials which result in different natural frequencies. This based on scientific fact. A spring or an elastomer is typically used to reduce the amplitude of the wave that produces vibration in a medium btw. Rubber is used to isolate a jet engine from an aircraft frame. For the record, unless the component is bolted down to the shelf, it is not a "rigidly coupled" system to which you can apply the formulae from rigid body mechanics. A component on brass cones can very easily be disturbed compared to the rack it sits on.
2) Please read my earlier post on this subject. The only way to reduce magnitude of the vibrational force transferred from the shelf to the component is to have an isolator and damper in between. Increasing the mass of the platform helps in theory but for practical reasons can't be the only way to dissipate vibration. If the offending force can make it's way through concrete slabs of your floor, you will need a lot of mass to dissipate it if you do not want to use a real "isolator". BTW, what makes you so sure that by rigid coupling everything you have raised the natural frequency of all the components beyond the audible range? Glass ringing/resonance occurs at higher frequencies, why are glass shelves frowned upon by audiophiles in that case? Lastly, anyone in the isolation business ought to have measuring devices (that are readily available) and back up their claims with numbers. How many of them do?
1) Even if you rigidly couple all components in your rack, each component will still have a different resonant frequency due to differing mass, volume, materials which result in different natural frequencies. This based on scientific fact. A spring or an elastomer is typically used to reduce the amplitude of the wave that produces vibration in a medium btw. Rubber is used to isolate a jet engine from an aircraft frame. For the record, unless the component is bolted down to the shelf, it is not a "rigidly coupled" system to which you can apply the formulae from rigid body mechanics. A component on brass cones can very easily be disturbed compared to the rack it sits on.
2) Please read my earlier post on this subject. The only way to reduce magnitude of the vibrational force transferred from the shelf to the component is to have an isolator and damper in between. Increasing the mass of the platform helps in theory but for practical reasons can't be the only way to dissipate vibration. If the offending force can make it's way through concrete slabs of your floor, you will need a lot of mass to dissipate it if you do not want to use a real "isolator". BTW, what makes you so sure that by rigid coupling everything you have raised the natural frequency of all the components beyond the audible range? Glass ringing/resonance occurs at higher frequencies, why are glass shelves frowned upon by audiophiles in that case? Lastly, anyone in the isolation business ought to have measuring devices (that are readily available) and back up their claims with numbers. How many of them do?