一维准晶杆波动过程的d’Alembert解  

d′Alembert solution of waves in a bar of one-dimensional quasi-crystals

作　　者：刘吉军[1] 施伟辰[1] 

机构地区：[1]上海海事大学物流工程学院,上海200135

出　　处：《上海海事大学学报》2005年第1期77-80,共4页Journal of Shanghai Maritime University

基　　金：上海曙光计划项目(2000SG31);上海教育科技基金(SHES2002 44);上海科学技术发展基金项目(No. 2004 096)

摘　　要：考虑一维准晶体制备的杆的纵向波动问题,对声子场和相位子场相耦合的控制方程进行数学变换,得出 2个标准的波动方程和 4种波速。利用d’Alembert方法求解后发现,准晶杆有 2种波动过程。当 1种波动过程发生时,总存在以 2种波速传播的两种波。另外,用波形图给出了准晶杆波动过程的物理意义。A wave problem in the longitudinal direction of a bar made of quasi-crystals is studied. By applying a mathematical transform to the coupling control equations about the phonon field and phason field, two standard wave equations and four speeds of wave are founded. Based on the d’Alembert method, when one wave procedure occurs, there always exist two waves with two different speeds. In addition, a clear physical meaning of one wave procedure is figured out.

关 键 词：波动过程 晶杆 一维 波动问题 数学变换 控制方程 相位子场 波动方程 物理意义 准晶体 声子场 t方法 波形图 波速 求解 

分 类 号：O347.1[理学—固体力学] Q959.215[理学—力学]