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分叉     
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  bifurcation
    Study on Evolutionary Random Response Problems of Stochastic Linear Systems and Elementary Study on Bifurcation and Chaos of Stochastic Duffing System
    线性随机系统演变随机响应问题研究及随机Duffing系统中分叉与混沌初探
短句来源
    Stability and Bifurcation of the Permanent Rotation of a Free Gyrostat
    自由陀螺体永久转动的稳定性及分叉
短句来源
    A Study of Bifurcation And Chaos In A Nonlinear Dynamic Circuit
    非线性动态电路中分叉与浑沌的研究
短句来源
    A Global Bifurcation of Motion of a Coupled Nonlinear Oscillation System
    耦合非线性振荡系统运动的一种全局分叉
短句来源
    THE FRACTAL EFFECT OF IRREGULAR GEOMETRY ON CRACK BIFURCATION OF ROCK MATERIALS
    岩石类材料裂纹分叉非规则性几何的分形效应
短句来源
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  bifurcations
    THE DISCUSSION ABOUT HORSESHOES AND FINITE SUBHARMONIC BIFURCATIONS
    关于有限次次谐分叉出现马蹄的讨论
短句来源
    Homoclinic and Subharmonie Bifurcations and Chaos of Nonlinear Oscillator
    非线性振动系统的同宿轨道分叉、次谐分叉和混沌
短句来源
    DEGENERATE BIFURCATIONS OF CODIMENSION TWO IN NONLINEAR OSCILLATOR UNDER COMBINED PARAMETRIC AND FORCING EXCITATION
    参数激励与强迫激励联合作用下非线性振动系统的余维2退化分叉
短句来源
    Bifurcations of the Cusp Singularity in a Nonlinear Oscillator under Combined Parametric and Forcing Excitation
    参数强迫激励下非线性振子尖点型奇点的分叉
短句来源
    INVESTIGATION ON DYNAMICAL BIFURCATIONS OF A NONLINEAR PARAMETRIC EXCITATION SYSTEM
    非线性参数激励系统的动力分叉研究
短句来源
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  bifurcate
    There is an unstable domain between two bifurcate frequencies in 1/2-order subharmonic resonance of elastic system with quatratic nonlinearity.
    具有二次非线性弹性振动系统1/2阶亚谐共振在两个分叉频率之间有一不稳定域.
短句来源
    The bifurcate solutions and the stability criteria are obtained, Then the important relationships between vibration and the bifurcation parameter are revealed.
    本文还研究了机车的Hopf分叉现象,用摄动法证明分叉的存在性并给出构解和判稳方法,从而揭示分叉解与分叉参数的重要关系。
短句来源
    It couldbe found in the bifurcate equation of the ring catastrophic mold that ringsmight lose stability under pressure higher than critical pressure correspondingto wave numbers.
    从圆环突变模型的分叉集方程看到,圆环可以在高于各临界压力值的情况下发生相应波数的失稳。
短句来源
    In order to predict the fatigue life of the cracked bodies, it is necessary, first of all, to find cot the whole process of the crack growth. Because the crack can not only kink out of the interface but also bifurcate in the laminated composites, its growing path is very complicated.
    含裂纹体疲劳寿命的预测,必须首先了解裂纹扩展路径的全过程,而在层状复合材料 中,裂纹扩展的路径非常复杂,不仅可以拐弯,而且可以分叉
短句来源
  bifurcated
    Numerical simulation on two phase flows of water and air in bifurcated tunnel
    分叉巷道中水气两相流动的数值模拟
短句来源
    nonlinearity and discreteness, have been approximately solved by the above-mentioned means. The bifurcated solution leading to transition and turbulence is meaningful, which embraces all the effects of nonlinearity and discreteness, including shearing, stretching, rotation, dispersion, pressure-strain interaction and memory.
    所得通向转捩与湍流的分叉解,全面反映强非线性和离散性的效应,即剪切、拉伸、旋转、弥散、压力与变形相互作用及记忆诸因素对不稳定性的影响。
短句来源
    It is demonstrated that the system can exhibit unstable periodic 3 3 motion bifurcated from periodic 1 1 motion on the resonance condition, and the transition from subharmonic impacts to chaos is disscussed.
    分析并证实了碰撞振动系统在此共振条件下可由稳定的周期 1 1振动分叉为不稳定的周期 3 3振动 ,讨论了亚谐振动向混沌运动的演化过程
短句来源
    For η <1, the shock wave will be bifurcated to form a λ shock wave, under which two vortexes with different spin wise exist, and the pressure on the wall is lower than the case when η =1.
    η <1时 ,激波在物质界面分叉形成λ波 ,壁面压力峰值则低于无物质覆盖的壁面
短句来源
    This paper presents 3-D numerical simulation on two phase flows of water and air in bifurcated tunnel.
    对分叉巷道中水气两相流动进行三维数值研究,是为了了解两相流动的特性,以达到对预防和抑制自然灾害的目的。
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  bifurcation
The computation of symmetry-breaking bifurcation points inZ2×Z2-symmetric nonlinear problems
      
This paper is mainly concerned with corank-2 and corank-3 symmetry-breaking bifurcation point inZ2×Z2-symmetric nonlinear problems.
      
In addition, we show that there exist three quadratic pitchfork bifurcation point curves passing through corank-2 symmetry-breaking bifurcation point.
      
Bifurcation of limit cycle for quadratic system with invariant parabola
      
Bifurcation of two-dimensional Kuramoto-Sivashinsky equation
      
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  bifurcations
In this way, we obtain all the bifurcations of such a system.
      
Bifurcations of twisted homoclinic loops for degenerated cases
      
Bifurcations of travelling wave solutions for the generalized Dodd-Bullough-Mikhailov equation
      
For periodic motions, the regularities of their origination were studied and their possible bifurcations were established.
      
Strong Resonances at Hopf Bifurcations in Control Systems
      
更多          
  bifurcate
If the vibration amplitude is increased further, the streets bifurcate.
      
The coordination polyhedron of Ca2+ in ion I1 (CN = 7) is a distorted octahedron with a bifurcate vertex.
      
9) is a distorted pentagonal bipyramid with two O atoms of two nitrato ligands as two bifurcate vertices and five O atoms of five water molecules as the base.
      
In the crystal structure I, four bifurcate positions of Br and Cl in the tetrahedral anion [FeBr2Cl2]- are a randomly disordered mixture of these atoms.
      
In crystal, complexes I are united, due to the slip plane a, through bifurcate hydrogen bonds into infinite chains along the direction [100].
      
更多          
  bifurcated
The asymptotic expressions of the steady state solutions bifurcated from the trivial solution near α=2 and α=5 are given.
      
And the stability of the nontrival solutions bifurcated from α=2 is studied.
      
The bifurcated self-excited oscillation modes are determined, and the effect on the branching of the Reynolds numbers Re and, moreover, the compliance and internal viscosity of the pipe material is analyzed.
      
The independent cation Na+ of the centrosymmetric binuclear complex anion I2 is coordinated by one bifurcated O atom of the disordered water molecule and by three N atoms of the SCN- ligands (including two bridging ligands).
      
Molecule-Based Magnets with 1D Chain Structure of Bifurcated H-Bonding: Syntheses, Structure, and Magnetic Properties
      
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  其他


In this paper, the brachial artery branched from arch of aorta to radial artery is assumed to he an elastic tube with uniform cross-section and homogenous elastic modulus. The pressure waver, recorded at the crossing of the arch of aorta and the brachial artery are taken as the input to the segment of the brachial artery. The incoming waves are described by about 20 small. steps. Then the transient pressure expression at the radial artery is found under the linear assumption. The influence of the duration of...

In this paper, the brachial artery branched from arch of aorta to radial artery is assumed to he an elastic tube with uniform cross-section and homogenous elastic modulus. The pressure waver, recorded at the crossing of the arch of aorta and the brachial artery are taken as the input to the segment of the brachial artery. The incoming waves are described by about 20 small. steps. Then the transient pressure expression at the radial artery is found under the linear assumption. The influence of the duration of systole, the elastic modulus of arterial wall and the end resistance of the brachial artery on the pressure waves of radial artery is described in full. Comparisons with the experimental pressure waves obtained in test model is made and the experimental results show satisfactory agreement with theoretical results.

本文将臂动脉比拟为一根均匀弹性管,以臂动脉与主动脉分叉处的实测压力波形作为臂动脉的输入波形,并用一系列小阶梯波来近似逼近这输入波形。然后在线化条件下,求得桡动脉处瞬态压力的分析表达式。文章详细讨论了心脏搏动周期、臂动脉弹性与臂动脉端点阻力等生理参数对桡动脉压力波波形的影响情况,并逐一将所得结果与实验结果作比较,发现二者相当一致。

In the present paper, the resonant response of a vertical mooring-line in case of neutrally buoyancy, for a given harmonic longitudinal excitation, is discussed. The law of stress-strain is nonlinear. For the above case, a nonlinear equation and corresponding boundary conditions are given. Based on the singular perturbation method, a quasi-periodic solution is obtained. It exists bifurcations throns through the resonant region. The stability of the bifurcation solutions is investigated. The method in the present...

In the present paper, the resonant response of a vertical mooring-line in case of neutrally buoyancy, for a given harmonic longitudinal excitation, is discussed. The law of stress-strain is nonlinear. For the above case, a nonlinear equation and corresponding boundary conditions are given. Based on the singular perturbation method, a quasi-periodic solution is obtained. It exists bifurcations throns through the resonant region. The stability of the bifurcation solutions is investigated. The method in the present paper can be extended for solving the subharmonic response.

本文讨论垂直的中和浮力系留素在浮体的纵向激励处于谐振的情形下的共振响应问题,其中应力应变关系为非线性的。为此,需求解一个在给定边界条件下的非线性方程。利用奇摄动方法可以得到响应的拟周期解。这个解通过共振区后产生分叉。对各个分叉解,我们讨论了它的稳定性。本文方法可推广到亚谐振等情形的处理。

Solutions for creep buckling problems can be converted to elastic-plastic buckling analyses, as formerly explained by the ratio stress-strain method, which is based on the geometric similarities of isochronic creep curves at each constant temperature. Large deflection equilibrium equations and buckling equations of stiffened cylindrical shells are presented with their corresponding variational solution methods. For the ease of pure bending, a simplified method is proposed accounting for both bifurcation type...

Solutions for creep buckling problems can be converted to elastic-plastic buckling analyses, as formerly explained by the ratio stress-strain method, which is based on the geometric similarities of isochronic creep curves at each constant temperature. Large deflection equilibrium equations and buckling equations of stiffened cylindrical shells are presented with their corresponding variational solution methods. For the ease of pure bending, a simplified method is proposed accounting for both bifurcation type and limit type of buckling. Shells of various radius-thickness ratios and with several stiffening conditions are computed. The results are compared indirectly with some existing experimental data. .....

利用给定温度下等时蠕变曲线的几何相似性及比应力-应变曲线法,将蠕变屈曲化为弹塑性屈曲。导出了大挠度情况下加筋圆柱壳一般性的平衡方程、屈曲方程以及相应的变分解法。提出了纯弯下加筋圆柱壳屈曲的简化处理办法。考虑了分叉屈曲和极值屈曲。计算了不同半径-厚度比及不同加筋情况的壳体临界弯矩。结果与已知的实验数据做了间接的对比。

 
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