Chaotic Motion of Corrugated Circular Plates

Large deflection theory of thin anisotropic circular plates was used to analyze the bifurcation behavior and chaotic phenomena of a corrugated thin circular plate with combined transverse periodic excitation and an in-plane static boundary load. The nonlinear dynamic equation for the corrugated plate was derived by employing Galerkin's technique. The critical conditions for occurrence of the homoclinic and subharmonic bifurcations as well as chaos were studied theoretically using the Melnikov function method. The chaotic motion was also simulated numerically using Maple, with the Poincaré map and phase curve used to evaluate when chaotic motion appears. The results indicate some chaotic motion in the corrugated plate. The method is directly applicable to chaotic analysis of an isotropic circular plate.     

双层旋转扁壳非线性振动分析的同伦摄动法

采用能量变分法和同伦摄动法研究了双层金属旋转扁壳在均匀静态变温下的非线性轴对称自由振动问题。首先通过对坐标参考面的重新定位,建立了本问题控制方程的单层旋转壳简化形式,然后基于空间模态的假设,利用变分法导出了时间模态满足的非线性微分方程,最后由同伦摄动法获得了扁壳以温度为参数的非线性振动频率与振幅间特征关系的二次近似解析解。数值结果表明,变温对双层扁壳非线性振动的频率有明显的影响,而扁壳矢高可以改变振动的弹簧特性。     

湿H_2S环境中抽油杆用合金结构钢电化学腐蚀

在油气田腐蚀的诸多影响因素中,H2S是最常见和最有害的腐蚀介质.为了向油田选材和防腐实践提供理论依据,本文采用失重法和扫描电镜分析研究了抽油杆常用合金结构钢20CrMo,20Ni2Mo和35CrMo在不同浓度及温度下的H2S腐蚀行为.研究结果表明:(1)总体而言,随着H2S浓度的增加,材料的腐蚀速率均有所增加.但在100℃时20Ni2Mo对H2S浓度的变化不敏感,且在3种材料中平均抗腐蚀性能较好;在25℃时35CrMo材料在不同H2S浓度环境中具有较好的平均耐腐蚀性.(2)随着温度的升高,在3种材料的腐蚀速率有不同程度的提高.(3)在3种材料中,20CrMo的耐蚀性最差.     

双层旋转扁壳非线性振动分析的同伦摄动法

采用能量变分法和同伦摄动法研究了双层金属旋转扁壳在均匀静态变温下的非线性轴对称自由振动问题。首先通过对坐标参考面的重新定位,建立了本问题控制方程的单层旋转壳简化形式,然后基于空间模态的假设,利用变分法导出了时间模态满足的非线性微分方程,最后由同伦摄动法获得了扁壳以温度为参数的非线性振动频率与振幅间特征关系的二次近似解析解。数值结果表明,变温对双层扁壳非线性振动的频率有明显的影响,而扁壳矢高可以改变振动的弹簧特性。