Using the Transformation Matrices not Only to Derive the Motion Equations

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F16%3A43875027" target="_blank" >RIV/70883521:28140/16:43875027 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.wseas.org/multimedia/journals/mechanics/2016/a585811-314.pdf" target="_blank" >http://www.wseas.org/multimedia/journals/mechanics/2016/a585811-314.pdf</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Using the Transformation Matrices not Only to Derive the Motion Equations

Popis výsledku v původním jazyce

This article introduces different ways of transformation matrices use. The first utilisation is to determine the motion equations of the complex mechanical structure. Analysed model is designed in 3D CAD system SolidWorks. It consists of seven main physical objects. The corresponding inertia/pseudo-inertia matrix is derived for each of them with the aid of transformation matrices. These matrices are further used to derive the motion equations. The ball position scanning by camera system provides another possibility of the transformation matrix use; the camera local coordinate system is different against the plate local coordinate system and it is necessary to recalculate the real ball position. The final mentioned use of transformation matrices is in the determination of ball falling direction - it is valid only in case of its zero initial velocity.

Název v anglickém jazyce

Using the Transformation Matrices not Only to Derive the Motion Equations

Popis výsledku anglicky

This article introduces different ways of transformation matrices use. The first utilisation is to determine the motion equations of the complex mechanical structure. Analysed model is designed in 3D CAD system SolidWorks. It consists of seven main physical objects. The corresponding inertia/pseudo-inertia matrix is derived for each of them with the aid of transformation matrices. These matrices are further used to derive the motion equations. The ball position scanning by camera system provides another possibility of the transformation matrix use; the camera local coordinate system is different against the plate local coordinate system and it is necessary to recalculate the real ball position. The final mentioned use of transformation matrices is in the determination of ball falling direction - it is valid only in case of its zero initial velocity.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

JD - Využití počítačů, robotika a její aplikace

OECD FORD obor

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Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2016

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

WSEAS Transactions on Applied and Theoretical Mechanics

ISSN

1991-8747

e-ISSN

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Svazek periodika

2016, 11

Číslo periodika v rámci svazku

11

Stát vydavatele periodika

GR - Řecká republika

Počet stran výsledku

8

Strana od-do

245-252

Kód UT WoS článku

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EID výsledku v databázi Scopus

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