Glossary entry

Russian term or phrase:

метод варьирования по определяемому состоянию

English translation:

state-dependent variation model/adjustment

Added to glossary by Montefiore
Nov 5, 2002 18:43
21 yrs ago
Russian term

метод варьирования по определяемому состоянию

Russian to English Tech/Engineering applied mechanics
Для получения уравнений равновесия, граничных условий и соотношений упругости использовался смешанный вариационный принцип Рейснера в сочетании с МЕТОДОМ ВАРЬИРОВАНИЯ ПО ОПРЕДЕЛЯЕМОМУ СОСТОЯНИЮ.

еще

Считая в соответствии с МЕТОДОМ ВАРЬИРОВАНИЯ ПО ОПРЕДЕЛЯЕМОМУ СОСТОЯНИЮ функции первого приближения известными, полная энергия оболочки варьируется по перемещениям и получается решение для самоуравновешенного состояния, уточняющее компоненты НДС первого приближения.

Proposed translations

+1
1 hr
Selected

state-dependent variation model/adjustment

Although I may have not nearly such a complete understanding of the matter as Tagir does, I did not see the actual translation in his explanation.

I do not insist on the correctness of my answer above, however I've encountered many references to the state-dependent term, as well as to the optimization method which it appears to be (this time, IMHO)

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Note added at 2002-11-05 20:12:28 (GMT)
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http://216.239.33.100/search?q=cache:EnKRfCGXd5kC:www.iwm.fr...

Most of the links with the aforementioned term are in PDF files, so I can\'t quote them here.

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Note added at 2002-11-05 20:17:47 (GMT)
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http://216.239.33.100/search?q=cache:EnKRfCGXd5kC:www.iwm.fr...

Most of the links with the aforementioned term are in PDF files, so I can\'t quote them here.

Also - state-based variation approach

I see that Tagir has \"technique of variation with respect to desired state,\" which is a literal rendition of the method, unless it\'s an official term. Is it, Tagir? The inquiring minds want to know:)
Peer comment(s):

agree Dimman : seems the best option, though not perfect
8 hrs
thank you, bpz2001:) it may have been perfect if I were perfectly certain that it was the correct one, although the process is familiar - I work with people who optimize orbits using a similar approach, and there may be more than one model method for that
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2 KudoZ points awarded for this answer. Comment: "Thanks. I've found a description of this method. It has to do with the variation of the total energy with respect to state. Unfortunately, cannot find a generally adopted term for this method, if any"
+1
19 mins

см ниже

Это, конечно, 2 вопроса:-)...

To obtain the equilibrium equations, the boundary conditions, and elasticity relations the mixed Reisner verational principle was used combined with the technique of variation with respect to desired (sought-for) state.

next

Assuming in accordance with the technique of variation with respect to desired state that the first approximation funcations are known, one (or we) varies (vary) the complete energy of (the - I do not know the whole context) shell with respect to displacements and obtain a solution for the self-balances state, which refines the components of the nonlinear dynamical system of the first approximation.

Таким вот путем ;-)
Tagir.
Peer comment(s):

agree Protradit : www.multitran.ru
59 mins
neutral Jack slep : Among others, it should be Reissner's variational principle. I'll let the rest of the translation slide....
1 hr
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+1
1 hr

a/the method of adaptation to specific conditions

This seems to be the essence of the idea
Peer comment(s):

agree Montefiore : it is, indeed, the essence - just the established name of the approach (assuming the name has been established) is missing
9 hrs
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16 hrs

Finite-Element-Based Variational Principle (Method)

Possible explanation:
"Variation(al) approach in Finite-Element Method" used for solving problems that classical methods cannot handle, including elasticity problems,heat transfer problems, and fluid mechanics problems.

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Note added at 2002-11-06 12:23:01 (GMT)
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Finite Element Method Variational Approach
See for example:
http://ohio.ikp.liu.se/fe/loga.html
or possibly
http://www.engr.csufresno.edu/~aelzeiny/PhdThesis/node22.htm...
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