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超临界下受迫输液管2:1内共振的响应特性
  • ISSN号：1006-1355
  • 期刊名称：噪声与振动控制
  • 时间：2014
  • 页码：8-11
  • 期号：02
  • 便笺：31-1346/TB
  • 分类：O32[理学—一般力学与力学基础;理学—力学]
  • 作者地址：上海第二工业大学;上海大学上海市应用数学和力学研究所;上海大学力学系;
  • 作者机构：[1]上海第二工业大学,上海201209, [2]上海大学上海市应用数学和力学研究所,上海200072, [3]上海大学力学系,上海200444
  • 相关基金：国家杰出青年科学基金：（10725209）;国家自然科学基金：（10902064）;上海市优秀学科带头人计划：（09XD1401700）
作者： 黄慧春;张艳雷;陈立群;
关键词： 振动与波, 内共振, GALERKIN, 多尺度, RUNGE-KUTTA, vibration and wave , internal resonance , Galerkin , multi-scale , Runge-Kutta
中文摘要：

研究在超临界下受迫输液管2：1 内共振的动力学响应特性.当内流速超过临界值时,系统形成新的曲线平衡位形.通过Galerkin 截断方法使系统变为有限低维离散的系统,再采用多尺度近似解析方法,获得关于超临界条件下受迫输液管的响应特性.通过具体的数值算例,发现内共振附近系统出现Hopf 分岔现象.通过Runge–Kutta 数值方法,绘制了时间历程和相平面图系统的展示分岔前与分岔后的情况.

英文摘要：

The dynamic response behavior of a fluid-conveying pipe under supercritical fluid velocity is investigated bytaking 1：2 internal resonances into account. The equilibrium configuration of the system can bifurcate into multipleequilibrium positions when the fluid velocity exceeds the critical value. The partial differential equation of the system isdiscretized into several equations via the Galerkin’s truncation method. These equations are then numerically solved by themulti-scale method. Attention is concentrated on the possible response of the system with different governing dimensionlessparameters. Finally, the cumulative effect of frequency on the internal resonance is studied and the Hopf bifurcation isbriefly discussed. Dynamic response of the system in the vicinity of Hopf bifurcation is presented in the form of timehistories and phase plane trajectories via the Runge-Kutta numerical method.

关于张艳雷：

超临界输液管的振动特性及几类非线性现象探析
期刊论文 1
同期刊论文项目
动力系统的分岔、混沌
期刊论文 86 会议论文 32
超临界速度轴向运动梁的横向非线性振动建模、分析与仿真
期刊论文 43 会议论文 4
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期刊信息
  • 《噪声与振动控制》
  • 中国科技核心期刊
  • 主管单位:中国科协
  • 主办单位:中国声学学会
  • 主编：严济宽
  • 地址：上海华山路1954号交通大学
  • 邮编：200030
  • 邮箱：NVC@sjtu.edu.cn
  • 电话：021-62932221
  • 国际标准刊号：ISSN：1006-1355
  • 国内统一刊号：ISSN：31-1346/TB
  • 邮发代号:4-672
  • 获奖情况:
  • 国内外数据库收录:
  • 日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）
  • 被引量:8372