研究了Duffing-van der Pol振子在一类时滞反馈控制下零解的稳定性问题以及极限环的振幅和稳定性问题。依平均法和对时滞反馈控制项泰劳展开的截断得到的平均方程表明,零解的稳定性除与原方程中线性项的系数有关外,只与线性反馈有关,与...研究了Duffing-van der Pol振子在一类时滞反馈控制下零解的稳定性问题以及极限环的振幅和稳定性问题。依平均法和对时滞反馈控制项泰劳展开的截断得到的平均方程表明,零解的稳定性除与原方程中线性项的系数有关外,只与线性反馈有关,与非线性反馈无关。通过调整线性反馈的增益和时滞,可以使不稳定的零解变得稳定。零解发生Hopf分岔导致的周期解的振幅除与原方程中非线性项的系数有关外,与线性反馈和非线性反馈均有关。通过调整反馈增益和时滞,不仅可以控制极限环的振幅,还可以抑制极限环的产生。此外,根据平均方程还容易发现反馈时滞对系统动力学行为的影响具有周期性。数值仿真的结果验证了理论分析的正确性。展开更多
为了准确模拟闸前泥沙淤积对平面钢闸门启门力的影响,将闸前泥沙考虑为由粗细颗粒组成的宾汉体,闸门在开启过程中,粗颗粒之间的碰触和相对滑动产生了摩擦剪切应力,而细颗粒之间的絮凝作用在闸门开启的瞬间提供了极限剪切应力,这两种剪...为了准确模拟闸前泥沙淤积对平面钢闸门启门力的影响,将闸前泥沙考虑为由粗细颗粒组成的宾汉体,闸门在开启过程中,粗颗粒之间的碰触和相对滑动产生了摩擦剪切应力,而细颗粒之间的絮凝作用在闸门开启的瞬间提供了极限剪切应力,这两种剪切应力之和称为泥沙临界屈服应力.闸门启动时,必先克服临界屈服应力.基于VOF(volume of fluid)的三维非稳态两相流k T-εT模型,引入宾汉体模型,考虑泥沙临界屈服应力,建立起闸前泥沙淤积对平面钢闸门启门力影响的数值仿真模型,并应用该仿真模型计算了天津宁车沽防潮闸在闸前有泥沙淤积情况下的启门力,计算结果与实测资料吻合较好.展开更多
In this paper, silt sediment is considered to be Bingham body, which is made up of coarse and fine particles in front of a hydraulic gate. The coarse and fine particles provide friction and shear stress in the course ...In this paper, silt sediment is considered to be Bingham body, which is made up of coarse and fine particles in front of a hydraulic gate. The coarse and fine particles provide friction and shear stress in the course of opening the gate. They constitute together the adhesion force of the sediment. Based on this viewpoint, this paper puts forward a formula for the effect of silt sediment on the lifting force. The formula includes gate weight, down-suction force, sealing rubber friction, plus-weight, water-column pressure, plus-silted-sediment weight and rolling(or sliding)-bearing friction. Finally, the verification results show that the formula has certain reliability and the calculation accuracy can meet the need of practical engineering.展开更多
文摘研究了Duffing-van der Pol振子在一类时滞反馈控制下零解的稳定性问题以及极限环的振幅和稳定性问题。依平均法和对时滞反馈控制项泰劳展开的截断得到的平均方程表明,零解的稳定性除与原方程中线性项的系数有关外,只与线性反馈有关,与非线性反馈无关。通过调整线性反馈的增益和时滞,可以使不稳定的零解变得稳定。零解发生Hopf分岔导致的周期解的振幅除与原方程中非线性项的系数有关外,与线性反馈和非线性反馈均有关。通过调整反馈增益和时滞,不仅可以控制极限环的振幅,还可以抑制极限环的产生。此外,根据平均方程还容易发现反馈时滞对系统动力学行为的影响具有周期性。数值仿真的结果验证了理论分析的正确性。
文摘为了准确模拟闸前泥沙淤积对平面钢闸门启门力的影响,将闸前泥沙考虑为由粗细颗粒组成的宾汉体,闸门在开启过程中,粗颗粒之间的碰触和相对滑动产生了摩擦剪切应力,而细颗粒之间的絮凝作用在闸门开启的瞬间提供了极限剪切应力,这两种剪切应力之和称为泥沙临界屈服应力.闸门启动时,必先克服临界屈服应力.基于VOF(volume of fluid)的三维非稳态两相流k T-εT模型,引入宾汉体模型,考虑泥沙临界屈服应力,建立起闸前泥沙淤积对平面钢闸门启门力影响的数值仿真模型,并应用该仿真模型计算了天津宁车沽防潮闸在闸前有泥沙淤积情况下的启门力,计算结果与实测资料吻合较好.
基金Supported by Shandong Province Outstanding Young Scientist Award Fund(No.BS2014SF016)the National Natural Science Foundation of China(No.50979067)+1 种基金Ludong University Doctor Introduction Foundation(No.LY2014026 and No.LY2014028)the Open Research Fund Program of State Key Laboratory of Water Resources and Hydropower Engineering Science(No.2012B104)
文摘In this paper, silt sediment is considered to be Bingham body, which is made up of coarse and fine particles in front of a hydraulic gate. The coarse and fine particles provide friction and shear stress in the course of opening the gate. They constitute together the adhesion force of the sediment. Based on this viewpoint, this paper puts forward a formula for the effect of silt sediment on the lifting force. The formula includes gate weight, down-suction force, sealing rubber friction, plus-weight, water-column pressure, plus-silted-sediment weight and rolling(or sliding)-bearing friction. Finally, the verification results show that the formula has certain reliability and the calculation accuracy can meet the need of practical engineering.