Abstract

The paper studies wave propagation in 1 D bimodular media. Four cases are investigated: two cases with an external step load applied to a prestressed bimodular rod and two cases with a sign-alternating pulse applied to an unloaded bimodular rod. Shock wave formation and energy dissipation are observed in two cases. Analytical solutions showing the distortion of a wave profile due to shock wave formation for all cases are derived. A method of suppressing an arbitrary tensile pulse in a bimodular rod by creating a compressive pulse is proposed. Validation by numerical modeling using a Godunov-type explicit difference scheme is performed.

中文翻译：

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连续双模介质中的波传播

摘要

本文研究了一维双模介质中的波传播。研究了四种情况：两种情况下，外部阶跃载荷作用于预应力双模杆，两种情况下，信号交替脉冲作用于无负载的双模杆。在两种情况下观察到冲击波的形成和能量耗散。导出了所有情况下由于冲击波形成而导致的波形变形的解析解。提出了一种通过产生压缩脉冲来抑制双模棒中任意拉伸脉冲的方法。使用 Godunov 型显式差分方案通过数值建模进行验证。