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- W2247607820 abstract "In the response spectrum method, the complete time histories of modal responses are not known. Therefore, we must adopt some approximate technique, for instance the SRSS rule, in order to estimate the probable maximum reached by a quantity over the time interval of interest. It is generally believed that any response, e.g., the component of a vector or a tensor, may be treated this way. The opposite is true, however, and we show that the pseudotensors composed of the unsigned real numbers violate the frame invariance principle. As a consequence of this, the use of approximate summation methods that provide but the response amplitudes should be restricted to manipulation with scalars. The implications for engineering analysis are examined in detail. In conclusion, the SRSS summation of invariant effective stresses leads to approximate but objective results. Similarly, the magnitudes of reactions can be soundly estimated. In contrast, the direction of a force established via the SRSS rule depends solely on the choice of a coordinate system, making the results physically meaningless. These important observations are demonstrated by two examples involving an illustrative finite element method (FEM) analysis." @default.
- W2247607820 created "2016-06-24" @default.
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- W2247607820 date "1997-01-01" @default.
- W2247607820 modified "2023-09-27" @default.
- W2247607820 title "ON THE TREATMENT OF NON-SCALAR QUANTITIES IN THE RESPONSE SPECTRUM METHOD" @default.
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