Rolling of an Elliptic-Shaped Particle in Two Dimensions: A Mathematical Model
| Main Author: | |
|---|---|
| Language: | English |
| Published: |
University of Akron / OhioLINK
2009
|
| Subjects: | |
| Online Access: | http://rave.ohiolink.edu/etdc/view?acc_num=akron1240522472 |
| id |
ndltd-OhioLink-oai-etd.ohiolink.edu-akron1240522472 |
|---|---|
| record_format |
oai_dc |
| spelling |
ndltd-OhioLink-oai-etd.ohiolink.edu-akron12405224722021-08-03T05:25:56Z Rolling of an Elliptic-Shaped Particle in Two Dimensions: A Mathematical Model Swartzel, Jeffrey M. Mathematics Granular motion Rolling particle Granular distributions The motion of a two-dimensional rigid particle down a fixed incline is studied given the initial orientation, position, angular velocity, and velocity of the center of mass. A modeling procedure is designed that distinguishes between the three different types of motion: rolling, sliding, and flying with impact. Accordingly, a particle is assumed to be in one of the three states, each described by its own system of equations. The equations take into account friction between the particle and the incline, but disregard air resistance. The criteria governing transitions between the states of motion are derived. A computer program, written in MATLAB, implements the model numerically and is used to systematically investigate the behavior of the particle. 2009-06-09 English text University of Akron / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=akron1240522472 http://rave.ohiolink.edu/etdc/view?acc_num=akron1240522472 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws. |
| collection |
NDLTD |
| language |
English |
| sources |
NDLTD |
| topic |
Mathematics Granular motion Rolling particle Granular distributions |
| spellingShingle |
Mathematics Granular motion Rolling particle Granular distributions Swartzel, Jeffrey M. Rolling of an Elliptic-Shaped Particle in Two Dimensions: A Mathematical Model |
| author |
Swartzel, Jeffrey M. |
| author_facet |
Swartzel, Jeffrey M. |
| author_sort |
Swartzel, Jeffrey M. |
| title |
Rolling of an Elliptic-Shaped Particle in Two Dimensions: A Mathematical Model |
| title_short |
Rolling of an Elliptic-Shaped Particle in Two Dimensions: A Mathematical Model |
| title_full |
Rolling of an Elliptic-Shaped Particle in Two Dimensions: A Mathematical Model |
| title_fullStr |
Rolling of an Elliptic-Shaped Particle in Two Dimensions: A Mathematical Model |
| title_full_unstemmed |
Rolling of an Elliptic-Shaped Particle in Two Dimensions: A Mathematical Model |
| title_sort |
rolling of an elliptic-shaped particle in two dimensions: a mathematical model |
| publisher |
University of Akron / OhioLINK |
| publishDate |
2009 |
| url |
http://rave.ohiolink.edu/etdc/view?acc_num=akron1240522472 |
| work_keys_str_mv |
AT swartzeljeffreym rollingofanellipticshapedparticleintwodimensionsamathematicalmodel |
| _version_ |
1719420008960884736 |