izpis_h1_title_alt

Modeliranje z ravninskimi polinomskimi krivuljami s pitagorejskim hodografom : magistrsko delo
ID Dimec, Neža (Author), ID Žagar, Emil (Mentor) More about this mentor... This link opens in a new window

.pdfPDF - Presentation file, Download (2,66 MB)
MD5: 9F8DBC0B0FD7C7990D8D2EB047266E7C

Abstract
V tem delu je predstavljen problem konstrukcije gladkih zaobljenih vogalov z ravninskimi polinomskimi krivuljami s pitagorejskim hodografom (PH krivuljami). $G^1$ vogal je enolično določen s PH kubično krivuljo. Podobno je $G^2$ vogal enolično določen s PH krivuljo stopnje 5. Da pridobimo proste parametre, s katerimi lahko prilagajamo profil ukrivljenosti konstruiranega $G^2$ vogala, je potrebna obravnava PH krivulj stopnje 7. Kot alternativa je predstavljena konstrukcija $G^2$ vogala z zlepkom iz dveh PH krivulj stopnje 5. Izpeljane sheme za konstrukcijo zaobljenih vogalov so odlikovane z računskimi prednostmi PH krivulj. Te jim zagotavljajo možno uporabo na različnih področjih znanosti: industrija, robotika, 3D tiskanje itd. V tem delu je predstavljena aplikacija s področja strojništva v povezavi s pohištveno industrijo.

Language:Slovenian
Keywords:ravninska polinomska krivulja s pitagorejskim hodografom, PH krivulja, zaobljen vogal, simetrična interpolacija, G koda, CNC stroj
Work type:Master's thesis/paper
Typology:2.09 - Master's Thesis
Organization:FMF - Faculty of Mathematics and Physics
Year:2018
PID:20.500.12556/RUL-105127 This link opens in a new window
UDC:519.6
COBISS.SI-ID:18474073 This link opens in a new window
Publication date in RUL:28.10.2018
Views:1299
Downloads:307
Metadata:XML RDF-CHPDL DC-XML DC-RDF
:
Copy citation
Share:Bookmark and Share

Secondary language

Language:English
Title:Modelling with planar polynomial Pythagorean-hodograph curves
Abstract:
The problem of designing smoothly rounded corners with planar polynomial Pythagorean-hodograph (PH) curves is addressed. A $G^1$ corner can be uniquely specified as a single PH cubic segment. Similarly, a $G^2$ corner can be uniquely specified with a single PH quintic segment. To obtain $G^2$ corners incorporating shape freedoms that permit a fine tuning of a curvature profile, PH curves of degree 7 are required. As an alternative, a $G^2$ corner construction based upon splicing together two PH cuintic segments is proposed. The corner shapes constructed through these schemes can excel computational advantages of PH curves. Those ensure them many possible applications in different fields of science: industry, robotics, 3D printing etc. In this work a mechanical engineering application in connection to furniture industry is presented.

Keywords:planar polynomial Pythagorean-hodograph curve, PH curve, rounded corner, symmetric interpolation, G code, CNC machine

Similar documents

Similar works from RUL:
Similar works from other Slovenian collections:

Back