双频激励液体表面斑图的Floquet分析  

FLOQUET ANALYSIS FOR PATTERNS ON THE SURFACE OF FLUID SUBJECT TO DOUBLE\|FREQUENCY EXCITATION 

作　　者：陈伟中[1] 魏荣爵[1] 

机构地区：[1]南京大学声学研究所和近代声学国家重点实验室,南京210093

出　　处：《物理学报》1999年第12期2259-2265,共7页Acta Physica Sinica

基　　金：国家攀登计划基础研究"非线性科学"基金和国家自然科学基金

摘　　要：对双频参量激励下的大宽高比容器中的粘滞液体表面起始斑图（Ｐａｔｔｅｒｎ） 的动力学行为进行了理论研究．通过计算可给出形成斑图的最低激励加速度阈值曲线、斑图的响应模式及其频率谱等．同时，还讨论了双频激励的斑图双临界现象．所有结果均在无任何可调参量的前提下，与ＥｄｗａｒｄｓThe dynamical behaviors of onset patterns on the surface of viscous liquid in the large\|aspect\|ratio container under double\|frequency parametric excitation have been investigated theoretically.The calculation shows the lower margin curves of exciting acceleration for pattern formation,the response modes and the frequency spectra of the pattern as well.Furthermore,the bicritical phenomenon found in the double\|frequency Faraday experiments is also studied.All of the results from the theoretical calculation are in excellent agreement with those measured by Edwards et al. without any adjustable parameter.

关 键 词：液体表面斑图 双频激励 Floquet分析 

分 类 号：O353.1[理学—流体力学]