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self similarity
相关语句
  相似匹配句对
     Cognition of Self
     认识自我
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     self punishment.
     自我惩罚。
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     Ego and Selfrespect
     “自我”与“自尊”——从心理学角度浅析《红与黑》中的于连
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     RECURSIVE SIMILARITY
     递归相似
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     On Similarity in Metaphor
     论隐喻的相似性基础
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A simple material model in the calculation of the propagation of a spherically symetrie stress pulse is proposed in this paper. It is proved that self-similarity of wave shape and constant speed of propagation of peak value are consequences of asymptotic behavior of wave propagation. Asymptotically, linear parts of the equation of motion and material property are the controlling factors in wave propagation. On the basis of similarity solution, influences of compaction and material strenqth...

A simple material model in the calculation of the propagation of a spherically symetrie stress pulse is proposed in this paper. It is proved that self-similarity of wave shape and constant speed of propagation of peak value are consequences of asymptotic behavior of wave propagation. Asymptotically, linear parts of the equation of motion and material property are the controlling factors in wave propagation. On the basis of similarity solution, influences of compaction and material strenqth on the characteristics of stress wavce propagation are analysed. It reveals that if shear force exists and does not couple with hydrostatic force, The attenuation index l is equal to 2. In general, the rate of attenuation changes with the steepness of wave shape. For a given material, there exists a maximum attenuation indexwhen the wave front is discontinuous. If the propagation speed co of the peak value of a stress wave is greater than the bulk wave velocity C in loading the maximum attenuation index Zmax may be larger than 2, otherwise it is equal to or less than 2.

本文建议了一种简单的介质模型,用于计算球对称应力脉冲波的传播。证明了自相似波形和峰值以恒速传播是波传播渐近性态的表现。在渐近状态,运动方程和介质性质的线性部份,是波传播行为的主要控制因素。根据相似解,分析了压密和介质强度对应力波传播规律的影响。指出了在有剪力而剪力与静水压在运动中不耦合的条件下,衰减指数l=2。在一般情况下,衰减快慢随波形陡缓而变化。对一定的介质存在一个最大的衰减指数此时波前沿是间断跳跃。当应力波峰值的传播速度c_0超过加载体积波速C时,该最大衰减指数l_(max)就可大于2,否则就等于或小于2。

The kinematies and dynamics of self-similar cosmological models are discussed. The degrees of freedom of the solutions of Einstein's equations for different types of models are listed. The relation between kinematic quantities and the classifications of the self-similarity group is exa(?)ined. All dust L. R. S. models have been found.

本文討論了自相似宇宙模型的运动学和动力学問题,列出了不同种类模型的爱因斯坦方程解的自由度。考查了自相似解的运动最和分类之間的关系。发現了所有尘埃的L. R. S.模型。

By the theory of complex functions, the general representation of the solution is derived for crack problems of arbitrary index of self-similarity expanding along the interfaces between dissimilar orthotropic media. The problems of Riemann and Hilbert can be formulated immediately and the analytical solution was obtained with this method. Some problems were analyzed as examples. The analytical solution for the cracked body subjected to an arbitrary load can be obtained with the summary method based...

By the theory of complex functions, the general representation of the solution is derived for crack problems of arbitrary index of self-similarity expanding along the interfaces between dissimilar orthotropic media. The problems of Riemann and Hilbert can be formulated immediately and the analytical solution was obtained with this method. Some problems were analyzed as examples. The analytical solution for the cracked body subjected to an arbitrary load can be obtained with the summary method based on the present solutipn.

本文用复变函数论的方法,对在不同正交异性材料结合面上扩展的具有任意自相似指数的断裂动力学问题,导出了解的一般表示,给出了一般解法.应用本文方法可以迅速将所论问题化为Riemann-Hilbert问题,并可以相当简单的得到问题的闭合解.作为实例,文中对若干问题进行了求解.利用本文解,通过叠加,可以求得任意复杂载荷问题的解析解.

 
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