1) instantaneous variational principle
瞬时变分原理
1.
Based on intelligent constitutive relation theory,instantaneous variational principle and spline dispersing,the control equation of the active vibration control analysis of the piezoelectric intelligent beam is established by the spline finite-point method.
以样条有限点法为例,从位移模式出发,以智能本构关系、瞬时变分原理以及样条离散化为基础建立了压电智能梁振动主动控制分析的控制方程,分析了两个典型算例。
2.
Based on the instantaneous variational principle and the cubic B spline functions,the spline dynamic equation for plates on elastic foundation was established.
基于瞬时变分原理 ,应用乘积型二元三次 B样条函数 ,建立了弹性地基板的样条动力方程 。
2) time-dependent variational principle
含时变分原理
1.
The phonon dispersion relation of the quantum Klein-Gordon model with symmetric single-well anharmonic substrate potential is studied by means of the time-dependent variational principle combined with Hartree-type trial wavefunction for system and Jackiw-Kerman wavefunction for single particle.
通过采用含时变分原理,在结合Hartree型多粒子试探波函数和Jackiw-Kerman型单粒子波函数的基础上,研究了带对称单阱非谐格点势的量子Klein-Gordon模型的声子色散关系。
3) time-domain variation principle
时域变分原理
1.
Trial function of displacement is assumed considering the practical displacement constraints condition,and integral-variational equation group of the surrounding rock;and its modal matrix is induced by Hamilton time-domain variation principle considering time-domain variation and constraint conditions.
根据实际的位移约束条件,假设位移试函数,利用Hamilton时域变分原理,考虑时域变分条件和约束变分条件导出围岩体的积分–变分方程组,建立该方程组的模态矩阵。
4) instant modification
瞬时变质处理
1.
High chromium cast iron melt was modified by instant modification and pour-over modification from the bottom of the ladle.
对高铬铸铁铁液分别用包底冲入法和瞬时变质处理两种方法进行变质处理。
5) variation principle
变分原理
1.
Application of the variation principle for calculating the force-energy parameters of rail rolling by a universal mill;
应用刚塑性体的变分原理求解钢轨万能轧制过程的力能参数
2.
The calculation of critical load of a compressive bar by direct method based on variation principle;
基于变分原理的直接解法求压杆的临界载荷
3.
Relativistic variation principle and dynamical equations of the rotational variable mass system;
转动变质量系统的相对论性变分原理和动力学方程
6) variational principle
变分原理
1.
The variational principles for the analysis of electro-magneto-elastic material;
压电、压磁耦合弹性介质材料的变分原理
2.
A study of model analysis of anti deformation building based on generalized variational principle;
基于广义变分原理的抗变形房屋模型分析研究
3.
Variational principles and generalized variational principles on flow theory of plasticity;
塑性增量理论的变分原理和广义变分原理
补充资料: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
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