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    Threshold Energy for Transient Cavitation Free-bubbles

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    Assuming the model of a sigle free cavity in an incompressible, inviscid liquid, a threshold energy for the transient cavitation is obtained as a function of the rest radius of the cavity. The comparison with available experimental data from laser induced cavitation bubbles was carried out, and it gave satisfactory agreement with experiment. Moreover, considering the energy per unit mass of the cavity content at collapse, a simple explanation of the absence of cavitation effects above about 2.5 MHz of the driving field is found

    SHORT ANALYSIS OF RAINFALL TRENDS IN FRIULI-VENEZIA-GIULIA FROM 1951 TO 1986

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    Annual and seasonal rainfall data taken in the period 1951-1986 have been spatially averaged over the region Friuli-Venezia Giulia and analysed with the aim of searching for the presence of trends. The results of the two rank tests recommended by the World Meteorological Organization (WMO) support the hypothesis of a decreasing trend in the autumn rainfall and, with less probability, an increasing trend in sprin

    Ultraharmonics and Subharmonics in the Rolling Motion of a Ship: Steady-state Solution

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    In this paper the roll motion of a ship with particular regard to the nonlinearity phenomena is examined. The behaviour in a regular beam sea is studied in cases where the encounter frequency is an integer multiple or sub-multiple of the natural roll frequency of the ship. The approximate analysis of the equation of motion, carried out with the Bogoliubov-Krylov-Mitropolsky asymptotic method, shows that, apart from the synchronism, other resonance regions typical of nonlinear systems also exist. It deals with resonances of higher order, ultra- and sub-harmonics respectively. In these nonlinear resonance regions the ship has a steady state rolling amplitude which could be much greater than that predictable by linear theory. The analytical predictions are compared with the numerical results obtained by solving the equation of motion with the Runge-Kutta method. The agreement of the frequency response curves appears to be optimum in the whole interval of frequency, up to considerable rolling amplitudes
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