利用能量泛函变分的方法导出了发生弹性失稳的非经典边界条件,得到了失稳的判据方程。
The non-classic boundary condition of the elastic instability has been educed by the energy functional variation analysis. So a criterion equation of the elastic instability can be got.
对于黎曼流形的浸没建立了垂直能量泛函的二阶变分公式,研究强垂直调和映射的稳定性。
The second variation formula of vertical energy functional for a submersion between Riemannian manifolds is calculated with a simple and direct manner.
图像的卡通部分是由一个有界变差(BV)函数来刻画,相应的将BV罚项合并到变分泛函中需要解偏微分方程。
The cartoon component of an image is modeled by a bounded variation (BV) function; the corresponding incorporation of BV penalty terms in the variational functional leads to solve PDE equations.
本文通过对已识别拉氏乘子法的初步探讨,指出了已识别拉氏乘子法是变分原理中泛函变换的统一方法。
Based on a preliminary study on the identified multiplier method, it is pointed out in this paper that this method is a unite method of functional transformation in variational principle.
将此法应用于弹性有限位移理论中,除了得到前人得到的变分泛函外,还得到了一对新泛函—狭义泛函。
Using this method in finite displacement theory of elasticity, we found not only variational functionals obtained by predecessors but also a pair of new functionals-narrow functionals.
提出了以卷积形式表示的梁-柱弯曲问题的泛函,并给出了损伤粘弹性梁-柱的广义变分原理。
The convolution type functional was offered for the bending of viscoelastic beam column with damage and the generalized variational principle of viscoelastic beam column with damage was presented.
变分方法可以自然的将复杂的分割转化为泛函的极值问题。
Variational method could naturally convert complex segmentation into a variational functional optimization problem.
从卷积型变分原理的泛函出发,通过分析泛函中的各项,推导出求解动力响应问题的时-空有限元法,并将其应用于梁的动力问题中。
Based on Gurtin type variational principle a finite element method for initial value problems is presented by functional analysis. It is used for problems of beams dynamics.
泛函分析和算子代数;量子化方法和路径积分;变分技术。
Functional Analysis and Operator Algebras; Quantization Methods and Path Integration; Variational Techniques.
给出了可压缩粘性流动问题变分泛函的代入构成法,即直接从场的方程出发,应用代入原则,构成相应的变分泛函。
A new method on forming variation functionals for compressible viscous fluids — the Substitution for Constituting variation functional is given, I.
给出了可压缩粘性流动问题变分泛函的代入构成法,即直接从场的方程出发,应用代入原则,构成相应的变分泛函。
A new method on forming variation functionals for compressible viscous fluids — the Substitution for Constituting variation functional is given, I.
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