Steady-State Transonic Motion of a Line Load Over an Elastic Half- Space: The Corrected Cole/Huth Solution

نویسندگان

  • H. G. Georgiadis
  • J. R. Barber
چکیده

and the media are £ = 0.2, -n = 0.8. By truncating the infinite algebraic Eq. (3.16) to n = s = 3 for Kaa = 0.1 and n = 5 = 4 for Kaa = 1.0, 2.0, we find the coefficients A„. Figures 2 and 3 show the results of stress concentration factors of calculation. Now, we conclude this paper with the following discussions: (a) From the numerical results indicated above, we can see that the effect of anisotropy on dynamic stress concentration is quite significant in engineering sense. (b) The convergence of Eq. (3.16) depends on wave number Kaa and on cavity shapes. For low Kaa, a few terms of the series are sufficient; while for high Kaa, the convergence is rather slow. So, in this case, the number of terms needed becomes large in order to get reasonably good results. (c) For the square cavity case, the mapping function (4.2) maps the unit circle only to "nearly square cavity" with corners as shown in the figure attached. Such shape of course misses the character of sharp corners. This is the weak point of the method of mapping as noted universally in static case. Increasing the number of terms of the mapping functions is a way to make the corners of the figure rather sharp.

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تاریخ انتشار 2007