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6Šª
”NF
1982”N
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1065-1072•Å
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PROCEEDINGS OF JAPAN EARTHQUAKE ENGINEERING SYMPOSIUM
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Haruo TAKIZAWA
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WORK DONE BY EARTHQUAKE GROUND SHAKINGS UPON VARIOUS TYPES OF DYNAMIC SYSTEMS
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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.
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