二维格子反平面问题的渐近解
Asymptotic solution of the anti-plane problem for a two-dimensional lattice
摘要：
本文研究了阶跃点荷载作用下正方形弹簧连接质点网格上非定常波的传播。这个问题有两种解决方法。在大的时间间隔，描述长波扰动的行为，渐近解解析推导。用有限差分法求出了全谱范围的波在整个时间间隔内的解。这些解决方案进行了比较，并显示出良好的协议。
英文摘要：
Propagation of unsteady waves under the effect of a step point load on a square lattice of spring-connected masses is investigated. The problem is solved by two methods. Asymptotic solutions at large time intervals, which describe the behavior of long-wave perturbations, are derived analytically. The solution over the whole time interval for the waves of the entire spectral range is derived by the finite difference method. These solutions are compared, and their good agreement is shown.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
