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Wave propagation and diffraction in bodies with noncircular cylindrical boundaries

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Conclusion

The foregoing results make it possible to formulate approximate solutions of linear problems (in four approximations) for the steady-state diffraction and propagation of waves of different physical natures in bodies bounded by noncircular cylindrical surfaces. The problem is reduced in each approximation to corresponding problems in a circular cylindrical coordinate system with identical homogeneous equations in all approximations and different right-hand sides of the boundary conditions in each approximation. The results are obtained in a general form for all linear problems of continuum mechanics.

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  1. A. N. Guz'
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Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 9, No. 9, pp. 3–11, September, 1973.

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Guz', A.N. Wave propagation and diffraction in bodies with noncircular cylindrical boundaries. Soviet Applied Mechanics 9, 927–933 (1973). https://doi.org/10.1007/BF00890387

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