1) stationary value principle
驻值原理
1.
Because the items be introduced,difference of composite with imperfect interface from one with perfect interface is that stationary value principles of the former is no longer equivalent of variation equations corresponding the principles.
与完美界面不同的是，由于这个积分项的引入，非完美界面复合材料的驻值原理不再与相应的变分方程等价。
2) principle of resident potential energy
势能驻值原理
1.
Concludes and analyses the physical notion and mathematical method of the principle of resident potential energy, furthermore deducing the derivative principles: principle of invariable potential energy, principle of least potential energy and Timoshenko energy method, the applicable conditions of which are narrated, making the physical and mathematical notions consistent.
对能量法中势能驻值原理的物理概念和数学方法进行整理、归纳和明析,进而推演出该原理的派生原理:势能不变值原理、最小势能原理和Timoshenko能量法,使各基本原理的物理和数学概念协调统一。
2.
By collecting,generalizing and analyzing the physical concept and mathematical method of the principle of resident potential energy,it deduces the derivative principles: principle of resident and invariable potential energy and Timoshenko energy method.
对势能驻值原理的物理概念和数学方法进行整理、归纳和明析,进而推演出该原理的派生原理:势能不变值原理、最小势能原理和Timoshenko能量法,对各原理的适用条件进行了阐述,使各基本原理的物理和数学概念形成协调统一。
3.
Based on the principle of resident potential energy,a nonlinear differential equation of static beams with the nonlinear effect of dead loads is included,and the effect of the dead loads on deflection of cantilever beams is studied by Galerkin method.
应用势能驻值原理,推导出恒载对梁活载挠度影响的非线性微分方程,通过Galerkin方法研究了恒载对悬臂梁活载挠度的影响。
3) principle of stationary potential energy
势能驻值原理
1.
The equation of relationship between the top displacement and the rod angle of frame structure is established according to the principle of stationary potential energy.
根据势能驻值原理建立了框架顶部侧移和杆端转角之间的关系方程,推导出框架结构在水平节点荷载作用下的顶部侧移计算公式,方法简便适用,且计算精度较高,为框架结构顶部侧移的计算提供了一种新的简便计算方法,得出了用D值法求得的框架顶部侧移一般比实际侧移偏大的结论。
2.
Differential equations are obtained according to the principle of stationary potential energy.
根据势能驻值原理,推导得到了平衡微分方程。
4) stationary complementary energy principle
驻值余能原理
5) Principle of potential energy
势能驻值原理
6) principle of stationary incremental potential energy
势能增量驻值原理
补充资料：Понтрягин最大值原理
Понтрягин最大值原理
Pontryagin maximum principle
叶卜汪]在酉方文献中noHTp盯HH最大值原理也简单地称为辱/!\填厚理(~pnnciPle).样的一对. 设 H(沙，x，u)=(沙，f(:，“))是变量少，x，“的一个标量函数(Hanlllton函数)，其中沙=(沙.，，价’)〔R”十’，沙。任R’，价’〔R·，f二(/们，月.对函数H(少，x，“)对应一个典范(Hallld-ton)组(关于价，x) dx日Hd沙口H 一二一.~二一一门、 dr刀必’dr刁x((3)中第一个方程是方程组(1)).令 M(价，x)二s叩{H(价，x，:‘):u〔U}，日。盯p，r皿最大值原理表述如下:如果u‘(t)，x’(t)(r日【t.!，rll)是最优控制问题(l)，(2)(、“一*x’，u任u)的解，则存在一个非零的绝对连续函数沙(t)，使得价(t)，x‘(t)，。‘(r)在【t。，，t:」上满足方程组(3)，且对几乎所有的t‘【r。，，t.」，函数H(矽(t)，x‘(r)，u‘(t))达到其最大值: 万(价(t)，x’(t)，u‘(r))=M(砂(t)，x‘(t))， (4)且在终止时间t!满足条件 M(沙(tl)，x(t.))=0，沙、，(t、)镇0.(5) 如果函数沙(r)，义(r)，“(t)满足关系式(3)，(4)(即x(r)，“(t)是lloHrP压r洲极值曲线(Pon-trydgul extre订以1)，则条件 //(t)二M(沙(t)，x(t))三常数，少。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条