Dear researchers,
I have some simple basic questions.
In the frequency response functions of a free-free beam (1), there are waves expressed in hyperbolic functions. The analytical expression of the frequency response function is simple. Then I tried to calculate the far-field transmitted acoustic pressure by using the manner similar to that of Wallace (2). But it was difficult to carry out the Rayleigh integral. So I used the Fourier cosine series of |V|^2. (V: velocity) (A) But near the free edge, the Fourier expansion results differ from the exact distribution. (See Figs.pdf)
(Questions)
(1) Do you know the exact solution of the radiated acoustic pressure in the far field which does not use series expansion?
(2) In Finite Element analysis, how do you deal with the hyperbolic features of the waves? Or is there remedy for the trouble? (A)
( References )
1. Ryuzo Horiguchi , Yoshiro Oda, and Takao Yamaguchi, Propagation of stress waves in viscoelastic rods and plates, Journal of Technology and Social Science, Journal of Technology and Social Science, Vol.2, No.1, pp.24-39, 2018
2.C.E. Wallace, Radiation Resistance of a Baffled Beam, The Journal of the Acoustical Society of America, 51(3) Part 2, 1972, pp.936-945
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