System of auxiliary mass dampers to restrain the response of slender elastic structures to vibrations such as from earthquakes

Claim 1

A method for damping vibration of a slender, elastic structural element which, on account of being fixed by at least one end to a base subjected to earthquake, is subject to a high oscillatory response, owing to its inherent functional design, said method comprising: providing at least one receptacle constructed and arranged for moving together with a respective point of maximum displacement response to said element in a principal oscillatory mode thereof; filling into each said receptacle a quantity of ballast in the form of a loose mass of material, so that the ballast is contained by the receptacle but is able to move freely therein so that the total mass of all of such ballast is 10-20 percent of the principal mass of said element, thereby constituting at least one auxiliary mass damper; rigidly attaching each said auxiliary mass damper to said element at a respective point close to a respective said point of maximum displacement response so that, as said element is subjected to earthquake: (a) the apparent frequency of movement of the respective said ballast within each respective said receptacle is somewhat different than the natural frequency of oscillation of said element alone, but within 20 percent of that value, (b) the freedom of movement of the respective said ballast within each respective said receptacle allows for an oscillatory displacement of the center of gravity of each respective said receptacle with respect to the center of gravity of the respective said ballast that is at least several times greater than the maximal oscillatory response of said element at the respective said point of attachment of said receptacle, and (c) the damping of the oscillatory movement of the ballast by friction is equivalent to 10-20 percent of the critical ratio of such movement, so that, in respect of said principal mode of oscillation of said element, the oscillatory energy of said element is first dynamically converted into higher-displacement oscillations of the mass of said ballast and finally dissipated by the inherent friction of the oscillating ballast so as to counteract the tendency of said structural element to vibrate during an earthquake.

Claim 2

A method for damping vibration of a slender, elastic structural element which, on account of being fixed by at least one end to a base subjected to earthquake, is subject to a high oscillatory response, owing to its inherent functional design, said method comprising: providing at least one receptacle constructed and arranged for moving together with a respective point of maximum displacement response to said element in a principal oscillatory mode thereof; filling into each said receptacle a quantity of ballast in the form of a loose mass of material, so that the ballast is contained by the receptacle but is able to move freely therein so that the total mass of all of such ballast is 10-20 percent of the principal mass of said element, thereby constituting at least one auxiliary mass damper; rigidly attaching each said auxiliary mass damper to said element at a respective point close to a respective said point of maximum displacement response so that, as said element is subjected to earthquake: (a) the apparent frequency of movement of the respective said ballast within each respective said receptacle is somewhat different than the natural frequency of oscillation of said element alone, but within 20 percent of that value, (b) the freedom of movement of the respective said ballast within each respective said receptacle allows for an oscillatory displacement of the center of gravity of each respective said receptacle with respect to the center of gravity of the respective said ballast that is at least several times greater than the maximal oscillatory response of said element at the respective said point of attachment of said receptacle, and (c) the damping of the oscillatory movement of the ballast by friction is equivalent to 10-20 percent of the critical ratio of such movement, so that, in respect of said principal mode of oscillation of said element, the oscillatory energy of said element is first dynamically converted into higher-displacement oscillations of the mass of said ballast and finally dissipated by the inherent friction of the oscillating ballast so as to counteract the tendency of said structural element to vibrate during an earthquake.