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Rapprochement la vitesse moyenne

English translation: representation/expression of the average speed

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GLOSSARY ENTRY (DERIVED FROM QUESTION BELOW)

French term or phrase:	Rapprochement de la vitesse moyenne
English translation:	representation/expression of the average speed
Entered by:	Alan Douglas

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08:17 Nov 7, 2011

French to English translations [PRO]
Tech/Engineering - Mathematics & Statistics / Technologie robotique

French term or phrase: Rapprochement la vitesse moyenne

This is from a 175 page technical manual for an autonomous programmable evolutionary mini-robot used for eductional purposes. All was going well on the technical side until I hit a short section of higher level mathematics. Some of the specialised teminology in this section has me stumped. This is the first of 4 terms/expressions that I intend to post.

"Raprochement la vitesse moyenne" (du centre des roues): Should it be raprochement de/à? "Reconciliation of the average speed"? Expert help would be much appreciated:

Modèle géométrique de la transmission du [robot XXX]
Le modèle géométrique donne la transformation qui permet de passer des vitesses angulaires des roues à la vitesse instantanée du robot. Les explications qui suivent présentent le modèle géométrique du robot XXX (robot différentiel). Cette transformation se passe en 3 étapes :
Calcul de la vitesse du centre des roues ;
Calcul de la vitesse de n'importe quel point du robot ;
A partir des vitesses, calcul de la position.

Légende:
2L : distance entre les roues
r : rayon de la roue
Vd, Vg : vitesse des roues droite et gauche
x, y : position du robot
Psi : orientation du robot

Calcul de la vitesse du centre des roues :
Vitesse de la roue droite : V_rd=r.V_d
Vitesse de la roue gauche : V_rg=r.V_g

Vitesse moyenne du centre des roues :
V_moy=(V_rg+V_rd)/2

Calcul de la vitesse de n’importe quel point du robot :
*** Rapprochement la vitesse moyenne *** du centre des roues dans le repère (O, X, Y) par décomposition en X et en Y :

V_x=V_moy.cos⁡(Psi)=(r.V_d)/2.cos⁡(Psi)+(r.V_g)/2.cos⁡(Psi)

V_y=V_moy.sin⁡(Psi)=(r.V_d)/2.sin⁡(Psi)+(r.V_g)/2.sin⁡(Psi)

Relation donnant la vitesse angulaire du robot (Avec « Psi » pris dans le sens trigonométrique et « apsi » la vitesse angulaire du robot) :

〖2.L.a〗_psi=r.V_d-r.V_g

Alan Douglas KudoZ activity Questions: 5 (none open) Answers: 99 France
Local time: 20:45

representation/expression of the average speed

Explanation:
Although just "calculation" would do. While the two components Vx and Vy are being expressed in terms of the average speed, the relations are invertible to get the average speed in terms of the components Vx and Vy. However, note that V_d and V_g are ANGULAR, not linear speeds (ie rotation of the wheel).

Selected response from:

chris collister
France
Local time: 20:45

Grading comment

My initial thought was "reconciliation", which no one suggested. Having to choose one, I have decided to opt for "representation". Calcul = calculation appears in the previous line so I have left that one aside.
4 KudoZ points were awarded for this answer

Summary of answers provided

representation/expression of the average speed

chris collister

Variation from the average speed

Terry Richards

closeness

kashew

Discussion entries: 1

Answers

1 hr confidence:

closeness

Explanation:
* i.e. distance from

kashew
France
Local time: 20:45
Does not meet criteria
Native speaker of:

English
PRO pts in category: 4

2 hrs confidence:

Variation from the average speed

Explanation:
The calculated terms have to be added (algebraically) to the average speed at the centre of the wheels.

Terry Richards
France
Local time: 20:45
Does not meet criteria
Native speaker of:

English
PRO pts in category: 16

3 hrs confidence:

representation/expression of the average speed

chris collister
France
Local time: 20:45
Meets criteria
Specializes in field
Native speaker of:

English
PRO pts in category: 67

Grading comment

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Changes made by editors

Nov 9, 2011 - Changes made by Alan Douglas:
Edited KOG entry	Alan Douglas's old entry - "Rapprochement la vitesse moyenne" => "representation/expression of the average speed"

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Rapprochement la vitesse moyenne

English translation: representation/expression of the average speed

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Rapprochement la vitesse moyenne

English translation: representation/expression of the average speed

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KudoZ™ translation helpThe KudoZ network provides a framework for translators and others to assist each other with translations or explanations of terms and short phrases.

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