Method of damping vibration of structure

Vibration of a structure is damped using vibration damping mechanisms. Each vibration damping mechanism has a first plate rotatably mounted on a pair of first pivot shafts respectively mounted on a pair of opposed frame members of the structure, a second plate which is rotatably mounted on a pair of second pivot shafts respectively mounted on the opposed frame members at a predetermined distance from the first pivot shafts and is opposed to the first plate intervening a space therebetween, and a viscoelastic body provided in the space between the first and second plates. A plurality of vibration damping mechanisms having viscoelastic bodies different from each other in mechanical properties are mounted between the opposed frame members and a conversion coefficient beta which is the ratio of the distance L between the first and second pivot shafts to the distance h between the first pivot shafts or between the second pivot shafts for each vibration damping mechanism is set according to the mechanical properties of the viscoelastic body of the vibration damping mechanism.