1)Hamilton variational principleHamilton变分原理
1.Following Timoshenko theory of beams and the Hamilton variational principle,a mathematical model of dynamic behavior analysis of nonlinear elastic piles was established,in which three displacements and two angles were contained.假定桩基材料服从一种3次非线性本构关系,同时桩被置于弹性基础上,基于Timoshenko梁的修正理论和广义Hamilton变分原理,建立了非线性弹性桩基动力学行为分析的数学模型,该模型包括了3个位移和2个转动。
2.Following the modified theory of beams with the effect of shear deformation,a generalized Hamilton variational principle with three displacements and two rotational angles is established in which the material of pile obeys one of the thrice nonlinear constitutive relations.基于计及横向剪切效应的梁的修正理论,建立材料服从一种3次非线性本构关系的桩基力学行为分析的广义Hamilton变分原理,并给出相应的数学模型,其中包括3个位移和2个转动。
英文短句/例句
1.Unconventional Hamilton Variational Principles and Finite Element Method for Functionally Graded Material Structures;功能梯度材料结构的非传统Hamilton变分原理及其有限元法
2.Unconventional Hamilton-type Variational Principles for Elastodynamics of Piezoelectric Plane Problem;压电弹性平面问题动力学非传统Hamilton型变分原理
3.RELATIVISTIC VARIATION PRINCIPLES AND EQUATIONS OF MOTION FOR VARIABLE MASS CONTROLLABLE MECHANICAL SYSTEMS IN THE EVENT SPACE;事件空间中可控变质量系统的相对论性Hamilton原理和运动方程
4.Space Cone Pendulum Modeling and TRID Controlling Analysis of Suspended Mass System Based on Hamilton Principle基于Hamilton原理的悬吊质量体系空间摆振建模与TRID系统控制分析
5.Affection of Hamilton Principle on Particle Movement;Hamilton原理对粒子运动的作用
6.The application of Hamilton s principle in non-holonomic systems;Hamilton原理应用于非完整系统
7.Hamiltonization and solution of differential equations by introducing supplementary variables;微分方程借助辅助变量的Hamilton化与求解
8.Generalized Hamiltonian structure of Birkhoffian systems and integral invariants;Birkhoff系统的广义Hamilton结构与积分不变量
9.The Lie symmetry and Noether conserved quantity of discrete difference variational Hamilton system离散差分变分Hamilton系统的Lie对称性与Noether守恒量
10.Application of the Caley-Hamilton Theorem;Cayley-Hamilton定理应用
11.Finding the Inversion of Rational Fraction Matrix by Cayley-Hamilton Theorem Directly用Cayley-Hamilton定理直接求有理分式矩阵的逆矩阵
12.Some rational proofs of the Cayley-Hamilton theoremCayley-Hamilton定理的有理证明
13.generalized variational principles in theory of elasticity弹性力学广义变分原理
14.The Hamiltonian Theory of the Landau-Lifshitz Equations;Landau-Lifschitz方程的Hamilton理论
15.A Proof of the Cayley-Hamilton TheoremCayley-Hamilton定理的一个证明
16.The Application of the Block-Cayley-Hamilton Theorem块—Cayley-Hamilton定理的应用
17.The Variational Principle and Generalized Variational Principle for the Heat Conduction Problem热传导问题的变分原理和广义变分原理
18.Cubical Hamilton Vector Fields Topological Classification;三次Hamilton系统的拓扑分类
相关短句/例句
Hamiltonian principleHamilton变分原理
1.Using the Hamiltonian principle and the Galerkin s method, the motion equations of the system were derived.将叶片模拟为固定在轮盘上的悬臂梁模型,采用Hamilton变分原理和Galerkin方法,导出了系统的运动方程表达式。
2.By using the Hamiltonian principle and the Galerkin s method, the equations of motion of the bladed disk assemblies are derived.将叶片模拟为固定在轮盘上的悬臂梁结构,采用Hamilton变分原理和Galerkin方法,导出了结构系统的运动方程表达式。
3)Hamilton-type quasi-variational principleHamilton型拟变分原理
1.One-field Hamilton-type quasi-variational principle in linear damping elastodynamics of the rigid and elastic supported beam is established which can fully characterize the initial-boundary-value problem of this dynamics.首先建立了能反映动力学初值—边值问题的全部特征的有阻尼刚性与弹性支承梁动力学的一类变量广义Hamilton型拟变分原理,然后提出拉格朗日力学体系下的空间有限元—时间子域法,该法对空间域采用有限元来离散,而时间子域采用5次Hermite插值多项式插值。
4)Hamilton energy variation principleHamilton能量变分原理
5)unconventional Hamilton-type variational principle非传统Hamilton型变分原理
1.According to the basic idea of classical yin-yang complementarity and modern dual-complementarity, the unconventional Hamilton-type variational principle in phase space for dynamics of elastic foundation beam with linear damping is established, which can fully characterize the initial-boundary-value problem of this dynamics.本文根据古典阴阳互补和现代对偶互补的基本思想,首次建立了线性阻尼情形下弹性地基梁动力学的相空间(挠度、动量)非传统Hamilton型变分原理。
2.According to the basic idea of classical yin-yang complementarity and modern dual-complementarity,in a simple and unified new way proposed by Luo,the unconventional Hamilton-type variational principles for elasto-dynamics of space frame structures were established systematically.根据古典阴阳互补和现代对偶互补的基本思想,通过罗恩提出的一条简单而统一的新途径,系统地建立了空间框架结构弹性动力学的各类非传统Hamilton型变分原理。
3.According to the basic idea of classical yin-yang complementarity and modern dual-complementarity,in a new,simple and unified way proposed by Luo,the unconventional Hamilton-type variational principles for geometrically nonlinear elastodynamics of membrane structures can be established systematically.根据古典阴阳互补和现代对偶互补的基本思想,通过罗恩早已提出的一条简单而统一的新途径,系统地建立了弹性膜结构动力学的各类非传统Hamilton型变分原理。
6)unconventional Hamilton variational principles非传统Hamilton变分原理
延伸阅读
变分原理(复变函数论中的)变分原理(复变函数论中的)omplex function theory) variational principles (in f日In}F(O(只，t)，0)l}乙+:d乙=】nll，—}——，厂:’、一几t)〔.匕，日亡卜OC一“C’日当r，0时下*(:、，t)/:在B*的紧子集上一致地趋于0(k一1，2).该结果已被推广到二连通区域(13」).若加以进一步的限制，就能得到映射函数在B、(t)内关于表征所考虑区域边界形变的参数的展开式余项的估计式(在闭区域内一致)(【4」).份卜注】存在大量的变分原理，见【A3}第10章.亦可见变分参数法(variation一parametrie nlethod);肠”ner方法(幼wner Tnetl〕ed);内变分方法(internalvariations，服t】1‘对of). 还可见边界变分方法(boundary variations，me-tll‘xlof).M.schiffer对单叶函数的变分方法做出了重要的贡献，见〔A3」第10章.变分原理(复变函数论中的)Ivaria石0“目州址妙es(加e网Plex五叮‘6佣山印ry);。即“a双“OHH从e nP一”u“nHI 显示在平面区域的某些形变过程中那些支配映射函数变分的法则的断语. 主要的定性变分原理是ljxlelbf原理(Linde场fpnnciPle)，可描述如下.设B*是z*平面上边界点多于一点的单连通区域，06B*，k=1，2;设二(;，B*)是对于B*的Green函数的阶层曲线，即圆盘王心川C!<1}到B*而使原点保持不变的单叶共形映上映射下圆周C(r)二{乙:{心}二;}的象，o<;<1.进而设函数f(:，)实现B，到B:的共形单射，f(0)‘O，在这些假定下有:l)对于L(:，B，)上任一点:?，存在位于阶层曲线L(:，BZ)上(这仅当f(B，)二BZ才有可能)或其内部的一点与之对应;及2){f’(0)1蕊}夕‘(0)}，其中g(:，)满足g(0)二o是Bl到 BZ的单叶共形映射(等号仅当f(B1)=B:时成立).Lindebf原理系从Rien坦nn映射定理(见Rle-n.lln定理(Rierl飞幻In theorem))与Sdlwarz引理(Schwarz lemrr必)推出.相当精细的构造使之能够求出由被映射区域的给定形变所引起的映射函数的逐点偏差. 定量的基本变分原理系由M.A.几aBpeHTbeB(〔1」)获得(亦可见【2])，可叙述如下，设B:是具有解析边界的单连通区域，0任B!.假定存在给定区域族B，(r)，0‘Bl(r)，0(t蕊T，T>O，B;(0)二B，，具有JOrdan边界rl(t)={:一z，=0(之，t)}，0(又续2兀，0(0，t)二Q(2二，r)，其中Q(又，r)关于t在t二O可微且对又是一致的;设F(::，t)，F(0，t)=0，F:.(0，t)>O，是把B，(t)单叶共形映射为BZ二{22:I:21
