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81.
This paper deals with the asymptotic behavior of solutions to a class of non-autonomous Lamé systems modeling the physical phenomenon of isotropic elasticity. The main feature of this model is that the nonlinearity can be decomposed into a subcritical part and a critical one. We first show that the system generates a non-autonomous dynamical system, and then prove that the system has a minimal universe pullback attractor. The upper-semicontinuity of these pullback attractors is also established as the perturbation parameter of the external force tends to zero. The quasi-stability ideas developed by Chueshov and Lasiecka (2010, 2008, 2015) are used to prove the pullback asymptotic compactness of the solutions in order to overcome the difficulty caused by the critical growthness of the nonlinearity. 相似文献
82.
对曲边柱壳受轴向非均匀内压作用下的大转动几何非线性3-D动力学行为进行了研究,给出了一套高效三维动力学建模与数值求解方法.基于结构静动态变形关系,采用Lagrange方程推导建立了曲边柱壳多自由度三维动力学方程,通过线性化和降阶处理获得了曲边柱壳3-D动态膨胀数值解,与LS-DYNA有限元方法求解结果一致.计算结果表明:曲边柱壳动态响应行为与内压载荷轴向分布形式关系紧密,可以通过改变内压轴向分布形式来控制结构的动态变形模式;同时发现时间步是影响论文方法计算精度的重要因素.论文研究为后续含曲边柱壳复杂系统动力学响应研究提供了参考. 相似文献
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针对光纤陀螺温度稳定性低、受环境温度影响参数变化,导致使用精度不高的问题,提出了一种光纤陀螺静态温度综合误差建模补偿方法。综合考虑温度、光纤陀螺标度因数非线性以及零偏漂移的影响,建立了以时间、温度和输入角速率为参量的光纤陀螺静态温度混合模型;采用分类拟合方法确定模型阶次,辨识模型参数;基于温度速率实验,提出迭代补偿算法。实验结果表明,经过综合误差补偿后的光纤陀螺消除了温度和标度因数非线性对其性能的影响,使它在全温度和全速率下的测量精度得到了极大提高,从而证明了该方法的有效性。 相似文献
86.
研究了一维光格中旋量玻色-爱因斯坦凝聚体的高阶非线性作用下的孤子激发,得出了用椭圆积分表示的明孤子解和特定参数条件下的暗孤子解析解,并求得了能量表达式. 相似文献
87.
We propose a scheme for generating a hyperentangled four-photon cluster state that is simultaneously entangled in polarization modes and spatial modes. This scheme is based on linear optical elements, weak cross-Kerr nonlinearity, and homodyne detection. Therefore, it is feasible with current experimental technology. 相似文献
88.
Investigation on ultrafast thrid—order optical nonlinearity of metal(dmit)2/mnt)2 Charge transfer complexes 下载免费PDF全文
We have investigated the transient third-order optical nonlinearity of the solutions of Metal(dmit)2/(mnt)2 salts in acetone by employing femtosecond optical Kerr gate measurement at 830nm wavelength.An order of enhancement on the second-order hyperppolarizability is found for the above salts with central atoms of Cu and Ni.We have suggested an explanation for the enhancement based on the extension of electronic conjugation by the entring Cu or Ni atom. 相似文献
89.
Kinetic selection principles have been shown to be useful and physically reasonable in nonlinear hyperbolic problems with
large amplitude phase transitions. We refer to Abeyaratne and Knowles, [A-K], for discussion on the subject. They also have
been used for degenerate nonlinear problems, where the genuine nonlinearity property of Lax is violated. This is the framework
of Liu, [Li], in the kinetic situation of Hayes and Le Floch, [H-L], where their so-called non classical shocks may be seen
as small amplitude phase transitions. Here, we describe the local geometry generated by the generic non genuinely nonlinear
assumption. A geometric kinetic criterion can be used to select indeterminate simple waves and obtain the well-posedness of
the local Riemann problem. A particular case is the entropic kinetic criterion of Hayes and Le Floch.
Sunto Principi di selezione cinetica sono stati mostrati utili e fisicamente ragionevoli in problemi iperbolici con transizioni di fase di grande ampiezza. Ci riferiamo ad Abeyaratne e Knowles, [A-K], per discussioni sull'argomento. Detti principi sono stati usati per problemi nonlineari degeneri, dove la proprietà di genuina nonlinearità di Lax è violata. Questo è la prospettiva di Liu, [Li], nella situazione cinetica di Hayes e Le Floch, [H-L], dove i loro così detti urti non classici possono essere considerati come transizioni di fase di piccola ampiezza. Qui, descriviamo la geometria locale generata dall'ipotesi generica genuinamente nonlineare. Un criterio di geometria cinetica può essere usato per selezionare onde semplici indeterminate ed ottenere la buona posizione per il problema locale di Riemann. Un caso particolare è il criterio di entropia cinetico di Hayes e Le Floc.相似文献
90.