ETYMOLOGY OF THE WORD D'ALEMBERT'S PRINCIPLE
Named after Jean Le Rond d'Alembert (1717–83), French mathematician, physicist, and rationalist philosopher.
is the study of the origin of words and their changes in structure and significance.
PRONUNCIATION OF D'ALEMBERT'S PRINCIPLE
GRAMMATICAL CATEGORY OF D'ALEMBERT'S PRINCIPLE
is a noun
is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.
WHAT DOES D'ALEMBERT'S PRINCIPLE MEAN IN ENGLISH?
, also known as the Lagrange–d'Alembert principle
, is a statement of the fundamental classical laws of motion. It is named after its discoverer, the French physicist and mathematician Jean le Rond d'Alembert. It is the dynamic analogue to the principle of virtual work for applied forces
in a static system and in fact is more general than Hamilton's principle, avoiding restriction to holonomic systems. A holonomic constraint depends only on the coordinates and time. It does not depend on the velocities. If the negative terms in accelerations are recognized as inertial forces
, the statement of d'Alembert's principle becomes The total virtual work of the impressed forces plus the inertial forces vanishes for reversible displacements
. The principle states that the sum of the differences between the forces acting on a system of mass particles and the time derivatives of the momenta of the system itself along any virtual displacement consistent with the constraints of the system, is zero.
Definition of d'Alembert's principle in the English dictionary
The definition of d'Alembert's principle in the dictionary is the principle that for a moving body the external forces are in equilibrium with the inertial forces; a generalization of Newton's third law of motion.
ENGLISH WORDS THAT BEGIN LIKE D'ALEMBERT'S PRINCIPLE
These words share the same root as d'Alembert's principle. Click on the words to load more information.
WORDS RELATING TO «D'ALEMBERT'S PRINCIPLE»
Translation of «d'Alembert's principle» into 20 languages
TRANSLATION OF D'ALEMBERT'S PRINCIPLE
Find out the translation of d'Alembert's principle
to 20 languages
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The translations of d'Alembert's principle
from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «d'Alembert's principle» in English.
Translator English - Chinese
1,325 millions of speakers
Translator English - Spanish
principio de d´ Alembert
550 millions of speakers
Translator English - English
510 millions of speakers
Translator English - Hindi
d ´Alembert के सिद्धांत
380 millions of speakers
Translator English - Arabic
مبدأ دالمبرت ل
280 millions of speakers
Translator English - Russian
278 millions of speakers
Translator English - Portuguese
Princípio de d´ Alembert
270 millions of speakers
Translator English - French
le principe de d´Alembert
220 millions of speakers
Translator English - German
d´ Alembert -Prinzip
180 millions of speakers
Translator English - Japanese
130 millions of speakers
Translator English - Korean
달랑베르 의 원리
85 millions of speakers
Translator English - Vietnamese
nguyên tắc d´ Alembert´s
80 millions of speakers
Translator English - Italian
Principio di d´ Alembert
65 millions of speakers
Translator English - Polish
Zasada d´ Alemberta
50 millions of speakers
Translator English - Ukrainian
40 millions of speakers
Translator English - Romanian
Principiul d´ Alembert lui
30 millions of speakers
Translator English - Greek
αρχή d´ Alembert του
15 millions of speakers
Translator English - Afrikaans
d´ Alem Bert beginsel
14 millions of speakers
Translator English - Swedish
d´ Alembert princip
10 millions of speakers
Translator English - Norwegian
d´ Alembert prinsipp
5 millions of speakers
Trends of use of d'Alembert's principle
TENDENCIES OF USE OF THE TERM «D'ALEMBERT'S PRINCIPLE»
The term «d'Alembert's principle» is used very little and occupies the 180.915
position in our list of most widely used terms in the English dictionary
The map shown above gives the frequency of use of the term «d'Alembert's principle» in the different countries.
Principal search tendencies and common uses of d'Alembert's principle
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FREQUENCY OF USE OF THE TERM «D'ALEMBERT'S PRINCIPLE» OVER TIME
The graph expresses the annual evolution of the frequency of use
of the word «d'Alembert's principle» during the past 500 years. Its implementation is based on analysing how often the term «d'Alembert's principle» appears in digitalised printed sources in English between the year 1500 and the present day.
Examples of use in the English literature, quotes and news about d'Alembert's principle
10 ENGLISH BOOKS RELATING TO «D'ALEMBERT'S PRINCIPLE»
Discover the use of d'Alembert's principle
in the following bibliographical selection. Books relating to d'Alembert's principle
and brief extracts from same to provide context of its use in English literature.
: Memory, Reason and Imagination
This is a triptych starting with D'Alembert penning his imagined memoirs. The literary equivalent of an Escher, the story has no identifiable end or beginning. Clever, entertaining, engaging"
Andrew Crumey, 1996
The Variational Principles of Mechanics
We can ask the question, what is the physical significance of d'Alembert's
principle? From the definition of the “effective force” by(41.5) it followsthat
thisforceis zero in the case of a free particle, while it is equal to the negative force
of reaction if ...
Cornelius Lanczos, 2012
In this chapter analysis of kinetic problems of a body in plane motion using D'
Alembert's principle are explained. Dynamic problem can be converted into a
static equilibrium problem by applying D'Alembert's principle. This is done by ...
S. S. Bhavikatti, K. G. Rajashekarappa, 1994
Structural Dynamics: Theory and Computation ; [updated with ...
The use of D' Alembert's Principle in this case appears to be trivial. This will not
be the case for a more complex problem, in which the application of D' Alembert's
Principle, in conjunction with the Principle of Virtual Work, constitutes a powerful
Mario Paz, William E. Leigh, 2004
Dynamics of Mechanical Systems
A principle which we will examine and use in the remaining sections of this
chapter, called d'Alembert's principle, is closely associated with Newton's laws. d'
Alembert's principle introduces the concept of an inertial force, defined for a
Harold Josephs, Ronald Huston, 2002
Introduction to Aircraft Aeroelasticity and Loads
( 2.2046lb 3.2808ft s2 2.2046 × 3.28082 s2 ) = ( ) ) (6.5) 6.2 D'ALEMBERT'S
PRINCIPLE – INERTIA FORCES AND COUPLES In this section, D'Alembert's
principle will be introduced to show how a dynamic problem may be reduced to
Jan Robert Wright, Jonathan Edward Cooper, 2008
Variational Methods and Complementary Formulations in Dynamics
Chapter III INTEGRAL VARIATIONAL FORMULATIONS D'Alembert's principle
and Gauss' principle of least constraint are examples of differential variational
formulations. These formulations make independent statements at each instant of
B. Tabarrok, F.P. Rimrott, 1994
D'Alembert's Principle The three laws of motion that we have just discussed are
the axioms of d'Alembert's mechanics of impact. More important, and certainly
better known, is his famous 'D'Alembert's Principle' which he derived from the last
Equation (1.34) is commonly called D'Alembert's principle after its propounder,
who published it in 1743. Remarks: (5) Unlike Newton's 3N equations of motion,
D'Alembert's principle is just one equation of motion. (ii) D'Alembert's ...
Rana & Joag, Rana, 2001
Flexible Multibody Dynamics
the system as indicated in the sgure. (1) Based on d'Alembert's principle, derive
the equations of motion of the system using the generalized coordinates x and θ.
(2) Plot the time history of the cart displacement, x. (3) Plot the history of angle θ.
Olivier Andre Bauchau, 2010
«ENGLISH DICTIONARY. D'alembert's principle [online] - Edition 3.3 (Dec 2016). Available <http://englishdictionary.education/en/dalemberts-principle> »
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