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For horizontal cables this explains the phenomena of frequency coalescence and mode reversion [1], as well as the frequency crossover and modal changes of non-translating cables [2].
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After a modal change of variables, first order averaging has been used to produce a set of autonomous equations of motion.
The effects of the modal shift were only calculated for vulnerable road users; the effects of the modal change of cars, trucks and public transport were ignored.
A small change in the modal share of vulnerable road users corresponds to a significantly smaller change in the modal change of cars, trucks and/or public transport, thus the safety effect of the modal shift to or from cars, trucks and public transport would be negligible.
The first and second terms on the right-hand side of Eq. 1 indicate the compositional and modal changes, respectively, of the equilibrated minerals.
Thus, calculating the effect of modal change for cars, trucks and/or public transport results in a smaller change in travelled km that would be multiplied by a smaller risk factor per km.
For the diagrams of modal changes in c and d, the horizontal axes show the amount of water infiltration (in units of molar amount per 1000 (hbox {cm}^3) of rock).
The proposed paper takes part in a general project of behavior monitoring of structures or rotating machines, particularly with the characterization of modal changes.
For the diagrams of modal changes in a and b, the horizontal axes are P T conditions along the P T path from 500 °C and 1.0 GPa to 300 °C and 0.2 GPa.
The third term on the right-hand side of the equation indicates the modal changes caused by congruent dissolution of non-equilibrated minerals Fig. 3 The P T conditions used in the calculations.
Thus, exact modified modal properties can be calculated even for the case of large modal changes.
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