On the Simulation of Discontinuous FunctionsSource: Journal of Applied Mechanics:;2001:;volume( 068 ):;issue: 005::page 751Author:J. D. Turner
DOI: 10.1115/1.1387022Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Discontinuous function constraints arise during the calculation of surface contact, stiction, and friction effects in studies of the behavior of complex systems. These nonlinear effects are mathematically defined by inequality constraints of the form 0≥g(x(t),t). The unknown in the problem is the time, t*, when the equality condition is reached. This paper presents an exact solution for t*, which is obtained by introducing a slack variable that replaces time as the independent variable, leading to an extended state-space that is noniteratively integrated to the constraint surface. Several applications are presented to demonstrate the method.
keyword(s): Motion , Simulation , Degrees of freedom , Algorithms , Differential equations , Equations , Functions , Stiction , Friction AND Complex systems ,
|
Collections
Show full item record
| contributor author | J. D. Turner | |
| date accessioned | 2017-05-09T00:03:57Z | |
| date available | 2017-05-09T00:03:57Z | |
| date copyright | September, 2001 | |
| date issued | 2001 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26523#751_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/124655 | |
| description abstract | Discontinuous function constraints arise during the calculation of surface contact, stiction, and friction effects in studies of the behavior of complex systems. These nonlinear effects are mathematically defined by inequality constraints of the form 0≥g(x(t),t). The unknown in the problem is the time, t*, when the equality condition is reached. This paper presents an exact solution for t*, which is obtained by introducing a slack variable that replaces time as the independent variable, leading to an extended state-space that is noniteratively integrated to the constraint surface. Several applications are presented to demonstrate the method. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | On the Simulation of Discontinuous Functions | |
| type | Journal Paper | |
| journal volume | 68 | |
| journal issue | 5 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.1387022 | |
| journal fristpage | 751 | |
| journal lastpage | 757 | |
| identifier eissn | 1528-9036 | |
| keywords | Motion | |
| keywords | Simulation | |
| keywords | Degrees of freedom | |
| keywords | Algorithms | |
| keywords | Differential equations | |
| keywords | Equations | |
| keywords | Functions | |
| keywords | Stiction | |
| keywords | Friction AND Complex systems | |
| tree | Journal of Applied Mechanics:;2001:;volume( 068 ):;issue: 005 | |
| contenttype | Fulltext |