Mechanics of Advanced Materials and Structures ( IF 3.6 ) Pub Date : 2021-04-06 , DOI: 10.1080/15376494.2021.1889725 Maria Kuznetsova 1 , Maxim Khudyakov 1 , Vladimir Sadovskii 2
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:
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。