A new and effective analysis of elastohydrodynamic elliptic contact problems /
An elliptical contact problem under elastohydrodynamic lubrication (EHL) is an integro-differential boundary value problem (BVP) with strong nonlinearity. A homotopy-finite element approach is developed to simultaneously solve this complicated BVP system. A weighted residual finite element method...
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| Format: | Thesis Book |
| Language: | English |
| Published: |
[Place of publication not identified] :
[publisher not identified] ;
2002.
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| Subjects: | |
| Online Access: | http://proxy.library.tamu.edu/login?url=http://proquest.umi.com/pqdweb?did=726460481&sid=1&Fmt=2&clientId=2945&RQT=309&VName=PQD |
| Summary: | An elliptical contact problem under elastohydrodynamic lubrication (EHL) is an integro-differential boundary value problem (BVP) with strong nonlinearity. A homotopy-finite element approach is developed to simultaneously solve this complicated BVP system. A weighted residual finite element method is applied to discretize the Reynolds equation for isothermal Newtonian fluids. The Reynolds boundary condition is considered as a free boundary unknown a prior. With the help of a penalty method, the Reynolds equation is then treated as a variational inequality problem. The discretized problem of the system consisting of the Reynolds equation, state equations, film thickness equation, and force balance equation is solved using Newton-Raphson scheme for local convergence. The penalty parameter is modified systematically through a homotopy process. This continuation process evolves gradually through changes of a homotopy parameter. An arc-length tangent vector is adopted to control the developing directions. The evolution is realized in sequence in a predictor-corrector iterative process. The new solution approach is numerically experimented. Results of sample tests are compared to those obtained by other solution techniques. The new developed solution method to solve EHL contacts is found to be effective, robust and accurate in comparison with numerical results from other solution approaches. Based upon the new EHL solution methodology, ideas of how to design and optimally control performances of a rolling element bearing with a smart system are outlined. |
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| Item Description: | Vita. "Major Subject: Interdisciplinary Engineering". |
| Physical Description: | xvii, 137 leaves : illustrations ; 28 cm. Issued also on microfiche from University Microfilm Inc. |
| Bibliography: | Includes bibliographical references (leaves 115-122). |