Kotaljenje diska po deformabilnem nosilcu

diplomska naloga

Boštjan Jursinovič (Author), Dejan Zupan (Mentor), Janko Logar (Thesis defence commission member), Violeta Bokan-Bosiljkov (Thesis defence commission member), Tomo Cerovšek (Thesis defence commission member), Andraž Mezgec (Thesis defence commission member), Igor Planinc (Co-mentor)

Abstract

Keywords

diplomske naloge;gradbeništvo;dinamika;kotaljenje brez podrsavanja;Reissnerjev nosilec;numerično reševanje diferencialnih enačb;programski paket Metalib;metoda končnih elementov;kotaljenje diska po linijskem nosilcu;

Data

Language:	Slovenian
Year of publishing:	2011
Source:	Ljubljana
Typology:	2.11 - Undergraduate Thesis
Organization:	UL FGG - Faculty of Civil and Geodetic Engineering
Publisher:	[B. Jursinovič]
UDC:	539.3:004.42(043.2)
COBISS:	5480289
Views:	2037
Downloads:	584
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	Study of Reissner beam under rolling disk
Secondary abstract:	For this degree paper we developed two-dimensional mathematical model of a rigid body rolling motion on deformable surface. Rigid body was modeled as a disk and deformable surface with geometrically non-linear beam. We derived equations of the rolling disk on know curve line, equations of dynamical response of Reissner beam under point load and equations of coupled rolling of disk on geometrical non-linear beam. Equations are discretized first with respect to the length of the beam following the finite-element method. Discretized equations are still differential equations with respect to the time. They were solved by the use of numerical methods of the Runge-Kutta family that are part of the commercial software Matlab. We developed programs for solving the governing equations and post-processing of the results. Use of these programs is presented for several numerical studies.
Secondary keywords:	civil engineering;graduation thesis;dynamics;rolling;Reissner beam;numerical methods for differential equations;Matlab;finite-element method;rolling of disk on beam-like structure;
File type:	application/pdf
Type (COBISS):	Undergraduate thesis
Thesis comment:	Univ. v Ljubljani, Fak. za gradbeništvo in geodezijo
Pages:	XI, 98 str.
Type (ePrints):	thesis
Title (ePrints):	Study of reissner beam under rolling disk
Keywords (ePrints):	dinamika;kotaljenje brez podrsavanja;Reissnerjev nosilec;numerično reševanje diferencialnih enačb;programski paket Matlab;metoda končnih elementov;kotaljenje diska po linijskem nosilcu
Keywords (ePrints, secondary language):	dynamics;rolling;Reissner beam;numerical methods for differential equations;Matlab;finite-element method;rolling of disk on beam-like structure
Abstract (ePrints):	V diplomski nalogi smo izdelali ravninski matematični model kotaljenja togega telesa po deformabilni podlagi. Togo telo smo nadomestili z diskom, deformabilno podlago pa predstavlja elastičen linijski nosilec. Izpeljali smo enačbe kotaljenja diska brez podrsavanja po znani krivulji, enačbe dinamičnega odziva linijskega nosilca na točkovno obtežbo ter enačbe kotaljenja diska brez podrsavanja po linijskem nosilcu. Enačbe najprej diskretiziramo po kraju po metodi končnih elementov. Tako diskretizirane enačbe so še vedno diferencialne enačbe po času. Rešujemo jih z numeričnimi metodami družine Runge-Kutta, ki so že vgrajene v programski paket Matlab. Napisali smo računalniške programe, ki omogočajo numerično reševanje teh enačb. Uporaba programov je prikazana na različnih primerih, rezultate pa prikazujemo s pomočjo grafov in animacij.
Abstract (ePrints, secondary language):	For this degree paper we developed two-dimensional mathematical model of a rigid body rolling motion on deformable surface. Rigid body was modeled as a disk and deformable surface with geometrically non-linear beam. We derived equations of the rolling disk on know curve line, equations of dynamical response of Reissner beam under point load and equations of coupled rolling of disk on geometrical non-linear beam. Equations are discretized first with respect to the length of the beam following the finite-element method. Discretized equations are still differential equations with respect to the time. They were solved by the use of numerical methods of the Runge-Kutta family that are part of the commercial software Matlab. We developed programs for solving the governing equations and post-processing of the results. Use of these programs is presented for several numerical studies.
Keywords (ePrints, secondary language):	dynamics;rolling;Reissner beam;numerical methods for differential equations;Matlab;finite-element method;rolling of disk on beam-like structure
ID:	8312235