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91.
This article consists of study of anisotropic double phase problems with singular term and sign changing subcritical as well as critical nonlinearity. Seeking the help of well known Nehari manifold technique, we establish existence of at least two opposite sign energy solutions in the subcritical case and one negative energy solution in the critical case. The results in the critical case are new also in the classical p-Laplacian case. 相似文献
92.
93.
各向异性非线性固体力学的规范空间理论 总被引:8,自引:0,他引:8
本文在弹性规范空间概念基础上,利用非平衡态热力学理论,证明了各向异性固体力学非线性问题规范空间场以及不可逆过程本征解的存在。损伤对结构刚度的弱化效应和损伤诱发各向异性效应分别反映在本征弹性和相应的模态向量中。在简正坐标中考察各向异性体变形时,材料的行为以六个普通的粘弹性Maxwell方程描述,总的响应由模态叠加得到。以此为基础给出的非线性本构方程具有坐标转换不变性,最后给出了二个具体的算例。 相似文献
94.
横向磁场激励下铁磁梁式板的混沌运动分析 总被引:9,自引:0,他引:9
在磁体力分布的磁弹性理论模型和磁场准静态假定模式基础上,对于处在周期时变磁场 中的不可移简支铁磁梁式板非线性磁弹性动力特性进行定性与定量分析.首先利用磁场的摄 动技术和结构变形的模态法,导出了关于模态坐标的非线性动力方程;然后利用Melnikov方 法,从理论上给出这一磁弹性动力系统可能出现混沌运动的必要条件及参数范围;最后采用变 步长Runge-Kutta数值积分方法对其磁弹性相互作用的混沌现象进行了定量搜索与模拟,并 利用其轨迹的Poincare截面图与Liapunov指数加以判断.结果表明磁弹性简支梁式板在横 向周期时变磁场中存在混沌吸引子,且在机械阻尼很小时其混沌吸引子表现出稠的特性. 相似文献
95.
Previous studies suggesting that people predict chaotic sequences better than chance have not discriminated between sensitivity to nonlinear determinism and facilitation using autocorrelation. Since prediction accuracy declines with increases in the look-ahead window in both cases, a decline in prediction accuracy does not imply chaos sensitivity. To overcome this problem, phase-randomized surrogate time series are used as a control. Such series have the same linear properties as the original chaotic sequence but contain no nonlinear determinism, i.e. chaos. In the experimental task, using a chaotic Hénon attractor, participants viewed the previous eight days temperatures and then predicted temperatures for the next four days, over 120 trials. The control group experienced a sample from a corresponding phase-randomized surrogate series. Both time series were linearly transformed to provide a realistic temperature range. A transformation of the correlation between observed and predicted values decreased over days for the chaotic time series, but remained constant and high for the surrogate series. The interaction between the days and series factors was statistically significant, suggesting that people are sensitive to chaos, even when the autocorrelation functions and power spectra of the control and experimental series are identical. Implications for the psychological assessment of individual differences in human prediction are discussed. 相似文献
96.
Gaetan?KerschenEmail author Alexander?F.?Vakakis Young?S.?Lee D.?Michael?Mcfarland Jeffrey?J.?Kowtko Lawrence?A.?Bergman 《Nonlinear dynamics》2005,42(3):283-303
The purpose of this study is to highlight and explain the vigorous energy transfers that may take place in a linear oscillator
weakly coupled to an essentially nonlinear attachment, termed a nonlinear energy sink. Although these energy exchanges are
encountered during the transient dynamics of the damped system, it is shown that the dynamics can be interpreted mainly in
terms of the periodic orbits of the underlying Hamiltonian system. To this end, a frequency-energy plot gathering the periodic
orbits of the system is constructed which demonstrates that, thanks to a 1:1 resonance capture, energy can be irreversibly
and almost completely transferred from the linear oscillator to the nonlinear attachment. Furthermore, it is observed that
this nonlinear energy pumping is triggered by the excitation of transient bridging orbits compatible with the nonlinear attachment being initially at rest, a common feature in most practical applications. A parametric
study of the energy exchanges is also performed to understand the influence of the parameters of the nonlinear energy sink.
Finally, the results of experimental measurements supporting the theoretical developments are discussed.
This study was carried out while the author was a postdoctoral fellow at the National Technical University of Athens and at
the University of Illinois at Urbana-Champaign. 相似文献
97.
NONLINEAROSCILIATIONANALYSISBYANORTHOGONALFUNCTIONMETHODSunPi,hong(孙丕忠)TangPiangang(唐乾刚)SunShixian(孙世贤)(NationUniversityofDef... 相似文献
98.
给出了硅微机械谐振陀螺仪的结构,介绍了硅微机械谐振陀螺仪的工作原理,详细推导并给出了陀螺仪的输出频率和标度因数非线性的计算公式;基于影响谐振陀螺仪标度因数的参数,分析了由谐振器的振幅和梳齿静电驱动力引起的硅微机械谐振陀螺仪的非线性特性,给出了振动幅度与谐振频率关系的表达式.实验结果表明,陀螺仪的整体性能主要取决于谐振器振动幅度的稳定性. 相似文献
99.
100.
一阶非线性项、四阶色散项的Boussinesq类方程 总被引:1,自引:0,他引:1
推导了由一阶色散项O(β2)表示的Bousinesq类方程,方程中保留了一阶非线性项O(α)及四阶色散项O(β8),其中α=A/h0,β=h0/L,A为特征波高,L为特征波长,h0为特征水深从理论上证明了Bousinesq改善型方程对色散性精度的提高,阐明了此类方程对色散项所保留的精度为O(β8),而并非是此类方程推导之初的假设为O(β2)这一点,将改变人们传统的认识 相似文献