On C0 and C1 continuity of envelopes of rotational solids and its application to 5-axis CNC machining

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F23%3A43969913" target="_blank" >RIV/49777513:23520/23:43969913 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0167839623000778" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0167839623000778</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.cagd.2023.102245" target="_blank" >10.1016/j.cagd.2023.102245</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On C0 and C1 continuity of envelopes of rotational solids and its application to 5-axis CNC machining

Popis výsledku v původním jazyce

We study the smoothness of envelopes generated by motions of rotational rigid bodies in the context of 5-axis Computer Numerically Controlled (CNC) machining. A moving cutting tool, conceptualized as a rotational solid, forms a surface, called envelope, that delimits a part of 3D space where the tool engages the material block. The smoothness of the resulting envelope depends both on the smoothness of the motion and smoothness of the tool. While the motions of the tool are typically required to be at least C2, the tools are frequently only C0 continuous, which results in discontinuous envelopes. In this work, we classify a family of instantaneous motions that, in spite of only C0 continuous shape of the tool, result in C0 continuous envelopes. We show that such motions are flexible enough to follow a free-form surface, preserving tangential contact between the tool and surface along two points, therefore having applications in shape slot milling or in a semi-finishing stage of 5-axis flank machining. We also show that C1 tools and motions still can generate smooth envelopes

Název v anglickém jazyce

On C0 and C1 continuity of envelopes of rotational solids and its application to 5-axis CNC machining

Popis výsledku anglicky

We study the smoothness of envelopes generated by motions of rotational rigid bodies in the context of 5-axis Computer Numerically Controlled (CNC) machining. A moving cutting tool, conceptualized as a rotational solid, forms a surface, called envelope, that delimits a part of 3D space where the tool engages the material block. The smoothness of the resulting envelope depends both on the smoothness of the motion and smoothness of the tool. While the motions of the tool are typically required to be at least C2, the tools are frequently only C0 continuous, which results in discontinuous envelopes. In this work, we classify a family of instantaneous motions that, in spite of only C0 continuous shape of the tool, result in C0 continuous envelopes. We show that such motions are flexible enough to follow a free-form surface, preserving tangential contact between the tool and surface along two points, therefore having applications in shape slot milling or in a semi-finishing stage of 5-axis flank machining. We also show that C1 tools and motions still can generate smooth envelopes

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2023

Kód důvěrnosti údajů

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

Název periodika

Computer Aided Geometric Design

ISSN

0167-8396

e-ISSN

1879-2332

Svazek periodika

107

Číslo periodika v rámci svazku

DEC 2023

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

20

Strana od-do

1-20

Kód UT WoS článku

001100853700001

EID výsledku v databázi Scopus

2-s2.0-85174209568