非线性问题

词组短语

nonlinear problem

与非线性问题相关的网络例句 [注：此内容来源于网络，仅供参考]

Singular perturbation theory and method for solving nonlinear problems is an important tool on the origin of celestial mechanics and nonlinear vibration problems,and its advantage is enough to give the right solution for structural analysis.

奇异摄动理论和方法是求解非线性问题的重要工具，它起源于对天体力学和非线性振动问题的研究，它的优点是能够给出足够正确的解的解析结构。

PSO is a population-based optimization algorithm, which mimics the social behavior of animals in a flock. It makes use of individual and group memory to update each particle position allowing global and local search optimization. The objective function considered was the total weight of the structure subjected to stresses, displacements and forces constraints. The effects of the parameters were investigated as well and such combination of tuning parameters promote a better global search behavior avoiding premature convergence while rapidly converging to the optimal solution. Results showed the effectiveness of the proposed method by comparing with ANSYS Design Optimization Tool (zero-order method). The PSO with the tuning parameters makes it an ideal method for offshore wind turbines foundations optimization tasks.(2) A reliability analysis method for pile foundation bearing axial loads based PSOThe performance function of pile foundation's axially bearing capacity sometimes is nonlinear and complex, on the basis of geometric meaning of structural reliability index, an optimum model with PSO for structural reliability analysis under arbitrary random variables was established, The PSO algorithm is very efficient to solve global optimization problemsIts use in structural reliability field presents not only the advantage of its facility of implementation, but also the possibility to obtain the design point and the failure probability with a good accuracy. In addition, PSO is a zero order algorithm, for no derivative is necessary for its implementation.

本文的研究针对桩式海上风机基础结构的特点，在国内外有关研究成果的基础上对海上风机基础结构优化设计理论和可靠度方法一些相关问题进行了较为深入的研究，具体做了以下几个方面的工作：(1)基于粒子群优化的桩式海上风机基础确定性优化设计方法桩式海上风机基础的优化设计是一个复杂的、非线性约束的优化问题，针对传统的基于梯度信息的优化方法在处理非线性问题中易陷入局部最优解的问题，本文将一种耦合惩罚函数的PSO算法引入到海上风机基础结构概念设计中，PSO算法是从群体动物聚集觅食这一活动中受到启发而发展的，该算法利用个体和群体的信息共享不断改进自身的位置从而进行局部和全局最优搜索，本文中以桩和三脚架连接段直径及壁厚为设计变量，以基础总重量作为优化的目标函数，在给定的约束条件下建立了三脚架基础优化数学模型，另外本文还研究了PSO参数变化对结果的影响，协调的参数组合可以避免陷入早熟收敛而能够快速的获得全局的最优解，通过与ANSYS优化模块的计算结果比较验证了该方法的有效性，本方法为海上风机基础的确定性设计提供了一条有效的途径。

In Chapter 1, we summarize several iterative methods and their convergence condition, the techniques in proving the iterative methodss convergence theorem.

现在，迭代法的研究日益成为解决各种非线性问题的核心，迭代法优劣的选择直接影响到各种非线性问题的结果的良好，所以迭代法的研究有着十分重要的科学价值和实际意义。

They are:1 design and implementation of nonlinear least Square Algorithm,2 design of general formula expositor,3 design and implementation of software encryption scheme and4 making of help files system.

数值实验表明：设计的算法具有极高的计算精度，也有较好的全局收敛性与稳定性，明显优于SPSS等软件，不仅可以处理小残量问题，而且能够处理大残量或非线性程度较高的问题，对于线性回归，可以一步达到精确的结果，使线性问题和非线性问题很好地统一起来。

Firstly, the author establish the functions of stability on the basis of the spline function method ,according to the theory of geometrical nonlinear and the theory of stability, educe the stability equation of structure based on variational principle, then carry through the flexuosity analysis of CFST arch.The big distortion geometrical nonlinear was considered by the stability equation,the author simplified the problem of geometrical nonlinear through ignored quadratic term and reserve the simple term, at last boiled down to solve the linear stability equation of eigenvalue .

利用样条函数方法、根据几何非线性变形理论和结构稳定性理论，先建立起结构稳定的泛函，再由变分原理导出结构的稳定方程，进行钢管混凝土拱屈曲分析；本文所建立的稳定方程考虑了几何非线性的大变形效应，通过忽略几何非线性的二次项，保留一次项，将几何非线性问题简化，最后归结为求解线性稳定问题的特征值稳定方程，建立了结构非线性静力稳定性问题的新算法及失稳类型判别准则。

Nonlinear functional analysis is not only profound theory but also widelyused research discipline in mathematics, in the context of nonlinear problemsof mathematics and natural sciences, a number of theories and methods of dil-ing with nonlinear problems have been established.

非线性泛函分析是数学中既有深刻理论又有广泛应用的研究学科，以数学和自然科学中出现的非线性问题为背景，建立了处理非线性问题的若干理论和方法。

Carleman不等式及其在最优控制问题中的应用.Optimal control theory of distributed parameter systems mainly includes: Pontryagin's maximum principle; controllability; Hamilton-Jacobi equation (i.e., dynamic programming equation); time optimal control, etc.In this dissertation, we establish Pontryagin's maximum principle of optimal control problems governed by some nonlinear differential equations (parabolic differential equations, elliptic differential equations and 3-dimensional Navier-Stokes equations), which in particular could have local solut...

在这篇博士论文中，我们建立了非线性微分方程(包括抛物型微分方程，椭圆型微分方程以及3维Navier-Stokes方程)最优控制问题的庞特里雅金最大值原理，特别地，这些方程可能只有局部解或存在多解(我们称这样的系统为非适定系统，相应的最优控制问题为非适定最优控制问题)，以及适定的非线性发展方程最优控制问题的庞特里雅金最大值原理；我们研究了phase-field系统的时间最优控制问题以及Boussinesq系统的局部内可控性。

The inversion of strong scatterer imbedded in the half-space is a practical, but very difficult problem of strong non-linearity.

半空间弹性波强散射源逆问题是一个实用而又难度很大的强非线性问题，而经典的Born迭代方法只适用于弱非线性问题。

Furthermore,the stability behavior and accuracy characteristics of the algorithmare proven by a spectral decomposition method.

在前人工作的基础上，提出了一种新的用于解决结构动力分析问题的时间积分方法——Taylor级数方法；建立了求解线性问题和非线性项可以表示为多元多项式形式的非线性问题的Taylor级数方法的理论，并给出递归求解通式；阐述了该方法的程序实施过程，给出了计算流程图，并在非线性有限元分析平台NFAP中嵌入了Taylor级数方法的计算模块；利用谱分解的方法分析了该方法的稳定性和精度特性，以封闭的解析形式给出了描述积分法特性的周期延长率和振幅衰减率的表达式；通过对该方法的理论分析和特性研究，阐述了该方法的可行性和高效性。

Since nonlinear problems more accurately describes the phenomena of the nature,thus thispaper considers nonlinear optimization problems and two important classes of nonlinear evolu-tion equations,and neural networks for nonlinear optimization problems is stressfully studied.

由于非线性问题更准确地描述了客观现象，因此本文考虑了非线性优化问题和两类重要的非线性发展方程，突出地研究了非线性优化问题的神经网络。

与非线性问题相关的网络解释 [注：此内容来源于网络，仅供参考]

nonlinear boundary value problem：非线性边值问题

territorial state 领土所属国 | nonlinear boundary value problem 非线性边值问题 | vestibule end sill 通过台端梁

nonlinear boundary value problem：非线性边界值问题

非线性分析 nonlinear analysis | 非线性边界值问题 nonlinear boundary value problem | 非线性计算 nonlinear computation

Nonlinear constrained optimization：非线性约束优化问题

不等式约束优化问题:Inequality constrained optimization problem | 非线性约束优化问题:Nonlinear constrained optimization | 约束布局优化问题:Constrained layout optimization

nonlinear oscillations：非线性振动

nonlinear optimization 非线性最优化 | nonlinear oscillations 非线性振动 | nonlinear problem 非线性问题

nonlinear problem：非线性问题

nonlinear oscillations 非线性振动 | nonlinear problem 非线性问题 | nonlinear programming 非线性最优化

nonlinear problem：几何非线性

隐互补问题:Implicit Complementarity Problem | 几何非线性:Nonlinear problem | 广义集值拟补问题:multi-valued quasi-complementarity problem

nonlinear complementarity problem：非线性互补问题

广义互补问题:General nonlinear complementarity problem | 非线性互补问题:nonlinear complementarity problem | 混合互补问题:mixed complementarity problem

nonlinear programming problem：非线性规划问题

nonlinear programming 非線形計画法 | nonlinear programming problem 非线性规划问题 | nonlinear quantizer 非线性分层器

nonlinear programming：非线性规划

非线性规划(Nonlinear Programming)是具有非线性约束条件或目标函数的数学规划. 非线性规划研究一个 n元实函数在一组等式或不等式的约束条件下的极值问题,且目标函数和约束条件至少有一个是未知量的非线性函数. 目标函数和约束条件都是线性函数的情形则属于线性规划.

nonlinear programming：非线性最优化

nonlinear problem 非线性问题 | nonlinear programming 非线性最优化 | nonlinear restriction 非线性限制