This method can also be used to other evolution equation hierarchies.
这种方法也适用于其他演化方程族。
Based on the fatigue cumulative damage models, a damage evolution equation for flexural fatigue of SFRPC slabs is set up.
结合原有的混凝土疲劳损伤模型，建立了预应力钢纤维混凝土板的疲劳损伤演变方程。
The local equilibrium distribution function of lattice model evolution equation is constructed by use of multi scale analysis.
它是运用多尺度分析方法，构造出格点模型的演化方程的局部平衡分布函数。
The variable separation approach is used to obtain coherent soliton structures of a new (2 + 1) dimensional evolution equation.
用分离变量法研究了新(2 +1)维非线性演化方程的相干孤子结构。
Using gradient-descent methods the energy function is minimized and a curve evolution equation is obtained to segment the image.
运用梯度最陡下降法，推导出能量函数曲线演化方程，并应用于图像分割。
Structural repair parameters are defined, and the evolution equation of structural repair in the triaxial soaking tests is proposed.
定义了结构修复参数，提出了三轴浸水过程中的土样结构修复演化方程。
A new evolution equation of growth of spherical voids in viscoplastic medium un-der dynamic tensile loading is presented in this paper.
提出了一个新的粘塑性介质中球形孔洞在高加载率作用下的演化方程。
And based on the aim of the application of engineering, the pre peak rock 3 parts damage evolution equation and constitutive model are given.
从工程应用出发，给出了峰前分段岩石损伤演化方程及本构关系。
Thus, in the framework of generalized standard materials, the damage evolution equation for isotropic elastic damaged materials has been derived.
在广义标准材料理论框架下，利用本构泛函展开法，推导出弹性各向同性损伤演化方程的一般形式。
The probability density evolution equation (PDEE) of the stochastic structural response is then established by introducing augmented state vector.
密度演化方法是一类直接获取随机结构动力反应概率密度函数及其演化过程的有效方法。
A method for discreted description of damage mechanism is given, and the evolution equation of discreted orientation density of cracks is obtained.
文中给出了损伤机构离散化的方法，并对方位密度给出了演化方程。
The symmetry algebras of 1 + 1 dimensional nonlinear evolution equation arising from the motion of plane curve in affine geometry are systematically studied.
系统地研究了来自于射影几何中平面曲线运动的1 + 1维非线性方程的对称代数。
The variation rule of the damage variable and the coupled variable, damage energy dissipation rate, can be described on macro aspect by the damage evolution equation.
采用损伤演化方程可以从宏观上描述损伤变量以及与其相伴的广义热力学力——损伤能量释放率的变化规律。
In this paper, we propose a nonequilibrium statistical information theory, whose kernel is information (entropy) evolution equation describing information evolution law.
阐述了以表述信息演化规律的信息(熵)演化方程为核心的非平衡统计信息理论。
A new fatigue damage evolution equation was proposed according to the fatigue accumulative damage theory, the effectiveness of which was verified by experimental results.
根据疲劳累积损伤理论，提出了新形式的疲劳损伤演化方程，与试验结果对比，该方程能较好地反映新材料的损伤演化规律。
From the nonlinear Schrdinger equation of beam propagating in Kerr absorbing medium, a set of evolution equations describing Gaussian beam waist radius have bean deduced.
由光束在克尔型吸收介质中传输的非线性薛定谔方程出发，推导了高斯光束注入介质后满足的耦合方程。
Secondly, we have studied the effect of filters by the use of perturbation theory and derived the evolution equation of the soliton pulse in the presence of sliding frequency.
第二部分同样用微扰理论来研究滤波器的作用，导出了频域滤波孤子传输系统的脉冲演化方程；
After defining a logarithm damage variable and effective stress, we introduce a damage evolution equation at crack tip bytaking into account the physical mechanism of the development ofcavities.
本文在定义对数损伤变量和相应的有效应力之后，引入了一种考虑材料内部空穴演变的裂尖损伤演变方程。
Some key concepts in degradated failure of materials is discussed. The stochastic evolution equation of defect clusters is given and the failure probability reliability and failure rate are derived.
本文讨论了材料退化失效的基本概念，给出了微观结构随机演化的动力学方程，统一导出了失效几率，可靠性、失效几率密度、失效率和平均寿命。
Although the expressional form of damage evolution equation in complicated stress condition is the same as that in simple load condition, the influence factors are different of the damage parameters.
复杂应力条件下的黄土损伤演化方程的表现形式与简单加载条件下的完全相同，区别只是在于损伤参量的影响因素不同。
Moreover, the stochastic differential equation of seepage boundary is proposed and the mechanism of seepage evolution is analyzed.
建立了渗流边界的随机微分方程，揭示了渗流边界形貌的演化机理。
Making use of seismic frequency as order parameter, the master equation of order parameter which represents regular evolution of seismicity is established by means of adiabatic elimination principle.
对于地震断裂系统，利用地震频度作为序参量，并应用绝热消去法建立了代表地震活动演化规律的序参量所满足的主方程。
The rules of the solution mining subsidence are got. The evolution rules and equation of damage in overburden are got.
获得了岩盐水溶开采沉陷的一般规律，得到了岩层宏观损伤演化规律及方程。
In physics, the physical parameter evolution along with the time is often controlled by the non-linear partial differential equation.
在物理学中，物理参量随时间的演化往往是由非线性的偏微分方程支配的。
The evolution and enhancement of occluded frontal circulation in upper-level westerly jet and lower-level southerly jet are discussed by using a dry primitive equation model.
利用原始方程模式探讨了高空西风急流和低空南风急流中锢囚锋环流的演变和增强机制。
By using of the 5-level primitive equation model, the short range evolution of the subtropical ridge and the subtropical high structure for 23-26 June 1980 was experimented.
本文利用5层原始方程模式对1980年6月23—26日梅雨期暴雨期间副高位置的短期演变、副高结构的短期变化作了一次数值预报试验。
An equation for describing the evolution of agricultural machinery products possessions was established and then its nonlinear chaos property with the theory of stability was pointed out.
该文建立了描述农机产品社会拥有量的演化方程，并指出该方程具有非线性混沌特性。
By using the Methodology of Information Domain and Synergetics Theory, a general equation of geomorphic systemative evolution has been established in this paper.
本文运用信息域方法、协同学理论建立了地貌系统演化的一般方程。
According to the nonlinear oscillation theory and the obtained equation, the nonlinear characteristics and evolution law of Kunming precipitation anomaly system were studied.
根据非线性振荡理论和昆明地区的非线性振荡方程研究了昆明地区降水距平率系统演变的非线性特征及其演变规律。
The theoretical model and the constitutive equation with the response of both tension and compression for elastic brittle damage evolution taken into account are derived.
提出了考虑拉压响应的弹脆性损伤演变的理论模型与本构方程。
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