�@ Œf�ÚŽGŽ��i˜a�j�F “ú–{’n�k�HŠwƒVƒ“ƒ|ƒWƒEƒ€�u‰‰�W Vol�F 6Šª ”N�F 1982”N •Å�F 1065-1072•Å ’˜ŽÒ�i˜a�j�F - ƒ^ƒCƒgƒ‹�i˜a�j�F - �´˜^�i˜a�j�F
- ƒL�[ƒ��[ƒh�i˜a�j�F - Œf�ÚŽGŽ��i‰p�j�F PROCEEDINGS OF JAPAN EARTHQUAKE ENGINEERING SYMPOSIUM ’˜ŽÒ�i‰p�j�F Haruo TAKIZAWA ƒ^ƒCƒgƒ‹�i‰p�j�F WORK DONE BY EARTHQUAKE GROUND SHAKINGS UPON VARIOUS TYPES OF DYNAMIC SYSTEMS �´˜^�i‰p�j�F
With relation to the amount of earthquake energy fed into structures, an instructive set of mathematical formulas is presented in a novel fashion. The scope of formulations extends far to multi-component inputs of ground shaking as well as to a variety of multi-DOF systems. Upon deleting the separable factor of oscillation mode, a close relationship with the Fourier amplitude spectrum is shown to feature the spectral representation of the available energy in a ground shaking. In particular, the results indicate a new procedure for the time-dependent frequency analysis of multi-dimensional earthquake motions by means of the tensorial expression of the work done upon oscillators. ƒL�[ƒ��[ƒh�i‰p�j�F - ‹LŽ–‹æ•ª�F - ‹æ•ª �@�@�@ˆÏˆõ‰ï˜_•¶�W