2次元外乱がもたらす動力学系応答における相間性の複素化把握

概要

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Complex-valued formulations can be more advantageously used for characterizing the nature of cross correlation between two time functions. Providing an additionally important factor of phase shift, they permit to enhance the degree of dependence and to extend a unifying duality over the time and frequency domains. Association of the tensorial feature is shown to lead to degeneration of correlation forms and to finding of a supplementary invariant. Then the input-to-output transfer of complex Hermitian correlation properties is mathematically formulated for a general class of linear dynamic systems subjected to 2-D vectorial shakings. This accounts sufficiently for the involved influences of modal coupling by means of a two-variate and complex-valued extension of the complete quadratic combination. Role of the imaginary parts is also clarified with regard to the more advanced understanding of the cross correlation on the 2-D plane as mutually dependent rather than mutually independent, and to the sense of rotation in 2-D motions. In addition, the examinations contain a novel justification to replace relative intensities of peak amplitudes by those of corresponding RS values.
一般社団法人日本建築学会の論文
1995-03-20