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- W4230778052 abstract "When longitudinal waves propagate within a nonlinear dissipative solid, harmonics of the fundamental are generated. The distribution of energy among the harmonics as a function of the distance propagated by the wave depends on the relative strength of the initial strain, the nonlinear coupling constant and the absorption of the medium. Waves of moderate intensity propagating in a lossy medium generate a second harmonic which reaches a maximum amplitude at the “stabilization distance” because of the losses. This is used to explain the results of Gedroits and Krasil'nikov for experiments in a magnesium-aluminum alloy. Waves of high intensity propagating in a low-loss medium will generate a second harmonic which stabilizes because of the development of a weak periodic shock wave. In this case the stabilization distance provides one with an additional parameter for calculating the nonlinear coupling constant of the medium. Results obtained from numerical computations are given to illustrate both cases." @default.
- W4230778052 created "2022-05-11" @default.
- W4230778052 date "1972-05-01" @default.
- W4230778052 modified "2023-10-18" @default.
- W4230778052 title "Design of optimum directional arrays using linear programming techniques" @default.
- W4230778052 doi "https://doi.org/10.1016/0041-624x(72)90036-4" @default.
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