Equilibrium Based Curve Fitting Method for Test Data With Nonuniform VarianceSource: Journal of Pressure Vessel Technology:;2014:;volume( 136 ):;issue: 002::page 21203DOI: 10.1115/1.4026020Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A recently developed equilibrium based curve/surface fitting method is extended to linear function with heteroscedastic data (variable variance). The concept of equilibrium weighted “force†and “moment†is proposed to derive curve fitting formulae, which are exactly the same as that obtained with the traditional weighted least squares (LS) method for a linear function. Furthermore, a system of four equations, i.e., a “force†equilibrium equation, a “moment†equilibrium equation, an “equivalency†equation, and a “moment balance†equation have been established to solve both mean curve and the standard deviation simultaneously. Finally, the application of these methods to data of fatigue and creep lives is presented.
|
Collections
Show full item record
| contributor author | Wei, Zhigang | |
| contributor author | Maleki, Shervin | |
| contributor author | Nikbin, Kamran | |
| date accessioned | 2017-05-09T01:11:53Z | |
| date available | 2017-05-09T01:11:53Z | |
| date issued | 2014 | |
| identifier issn | 0094-9930 | |
| identifier other | pvt_136_02_021203.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/156113 | |
| description abstract | A recently developed equilibrium based curve/surface fitting method is extended to linear function with heteroscedastic data (variable variance). The concept of equilibrium weighted “force†and “moment†is proposed to derive curve fitting formulae, which are exactly the same as that obtained with the traditional weighted least squares (LS) method for a linear function. Furthermore, a system of four equations, i.e., a “force†equilibrium equation, a “moment†equilibrium equation, an “equivalency†equation, and a “moment balance†equation have been established to solve both mean curve and the standard deviation simultaneously. Finally, the application of these methods to data of fatigue and creep lives is presented. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Equilibrium Based Curve Fitting Method for Test Data With Nonuniform Variance | |
| type | Journal Paper | |
| journal volume | 136 | |
| journal issue | 2 | |
| journal title | Journal of Pressure Vessel Technology | |
| identifier doi | 10.1115/1.4026020 | |
| journal fristpage | 21203 | |
| journal lastpage | 21203 | |
| identifier eissn | 1528-8978 | |
| tree | Journal of Pressure Vessel Technology:;2014:;volume( 136 ):;issue: 002 | |
| contenttype | Fulltext |