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Nonlinear processes in media with an acoustic hysteresis and the problems of dynamic interaction between piles and earth foundation

机译：具有声滞的介质中的非线性过程以及桩与地基之间的动力相互作用问题

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摘要

Evolution of a pulsed disturbance in a nonlinear medium whose properties irreversibly vary in the course of wave propagation is studied. Equations describing the propagation process are obtained. It is demonstrated that the waveform distortion and the dynamics of the field and energy characteristics of a signal noticeably differ from those observed in conventional nonlinear media. New nonlinear equations describing a pulse in a medium with relaxation of its nonlinear properties are derived. A finite "delay time" for irreversible processes is introduced in the defining equation. The shape of a pulse reflected from the boundary between an ordinary medium and a nonlinear hereditary medium is calculated. It is demonstrated that, in the case of a fixed relation between the peak pressure in the incident pulse and the ratio of linear impedances of the two media, a total transmission of the trailing edge of the pulse into the compressed medium occurs. Possible applications of the results to topical construction problems are discussed. (C) 2004 MAIK "Nauka/Interperiodica".
机译：研究了非线性介质中脉冲扰动的演化，该介质的特性在波传播过程中不可逆地变化。获得描述传播过程的方程。事实证明，信号的波形失真，动态场和能量特性与常规非线性介质中观察到的明显不同。推导了描述非线性条件松弛的介质中脉冲的新非线性方程。在定义方程式中引入了不可逆过程的有限“延迟时间”。计算从普通介质和非线性遗传介质之间的边界反射的脉冲的形状。已经证明，在入射脉冲中的峰值压力与两种介质的线性阻抗之比之间具有固定关系的情况下，发生了脉冲后沿到压缩介质中的总传输。讨论了将结果应用于局部施工问题的可能性。 （C）2004 MAIK“ Nauka / Interperiodica”。

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