基于R eddy提出的层合板高阶剪切变形简化理论对复合材料层合板的非线性动力稳定性问题进行了研究.推导了考虑几何非线性、非线性惯性和阻尼效应的M eth ieu方程,给出了该方程解的解析表达式,并研究了参数振动解的稳定性.通过典型数例...基于R eddy提出的层合板高阶剪切变形简化理论对复合材料层合板的非线性动力稳定性问题进行了研究.推导了考虑几何非线性、非线性惯性和阻尼效应的M eth ieu方程,给出了该方程解的解析表达式,并研究了参数振动解的稳定性.通过典型数例讨论发现:层合板的第一参数振动是其主要的参数振动;对于非保守体系,阻尼对参数振动的振幅影响不大,而对牵引则有着显著的影响.展开更多
The stability and nonlinear dynamic behavior of drilling shaft system in copper stave deep hole drilling were analyzed. The effects of the fluctuation of the cutting force, the mass eccentricity and the hydrodynamic f...The stability and nonlinear dynamic behavior of drilling shaft system in copper stave deep hole drilling were analyzed. The effects of the fluctuation of the cutting force, the mass eccentricity and the hydrodynamic forces of cutting fluid could be taken into consideration in the model of drilling shaft system. Based on the isoparametric finite element method, the variational form of Reynolds equation in hydrodynamic fluid was used to calculate nonlinear hydrodynamic forces and their Jacobian matrices simultaneously. In the stability analysis, a new shooting method for rapidly determining the periodic orbit of the nonlinear drilling shaft system and its period was presented by rebuilding the traditional shooting method and changing the time scale. Through the combination of theories with experiment, the correctness and effectiveness of the above methods are verified by using the Floquet theory. The results show that the mass eccentricity can inhibit the whirling motion of drilling shaft to some extent.展开更多
文摘基于R eddy提出的层合板高阶剪切变形简化理论对复合材料层合板的非线性动力稳定性问题进行了研究.推导了考虑几何非线性、非线性惯性和阻尼效应的M eth ieu方程,给出了该方程解的解析表达式,并研究了参数振动解的稳定性.通过典型数例讨论发现:层合板的第一参数振动是其主要的参数振动;对于非保守体系,阻尼对参数振动的振幅影响不大,而对牵引则有着显著的影响.
基金Project(2007CB707706) supported by the Major State Basic Research Development Program of ChinaProjects(2007E213,2007E203) supported by the Natural Science Foundation of Shaanxi Province,China
文摘The stability and nonlinear dynamic behavior of drilling shaft system in copper stave deep hole drilling were analyzed. The effects of the fluctuation of the cutting force, the mass eccentricity and the hydrodynamic forces of cutting fluid could be taken into consideration in the model of drilling shaft system. Based on the isoparametric finite element method, the variational form of Reynolds equation in hydrodynamic fluid was used to calculate nonlinear hydrodynamic forces and their Jacobian matrices simultaneously. In the stability analysis, a new shooting method for rapidly determining the periodic orbit of the nonlinear drilling shaft system and its period was presented by rebuilding the traditional shooting method and changing the time scale. Through the combination of theories with experiment, the correctness and effectiveness of the above methods are verified by using the Floquet theory. The results show that the mass eccentricity can inhibit the whirling motion of drilling shaft to some extent.
