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| Finite strip method of free and moving boundary problem for finite bearing with dynamical loading |
| Revised:January 18, 2002 |
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| DOI：10.7511/jslx20041014 |
| KeyWord:free and moving boundary problem,finite strip method,non-smooth method |
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| Abstract: |
| The finite strip method applied for solving the oil|film pressure distribution of dynamically loaded journal bearing is presented. This is a free and moving boundary problem because the boundary of the oil-film is unknown and changed with the rotational speed of the shaft and the load subjected. The oil-film free and moving boundary problem is transformed into the constrained minimization problem subjected to the inequality constraints by means of which the domain of the solution is expanded to the fixed rectangular filed (the whole surface of the journal bearing). The quadratic programming problem is obtained when the functional is discretized by the finite strip method. Using the movement transformation of the variables, the standard constrained form for the quadratic programming is obtained. By means of the Newton-Raphson procedure with non-smooth algorithm the linear complementary equations are solved and the true oil-film pressure of the bearing (the pressures exerted on each point of the journal are positive) are obtained. Because the coefficient matrix of the equation to be solved is very sparse, the algorithm with the compact storage scheme is given and the computation cost is also reduced. The numerical examples show that the algorithm is very effective.; The finite strip method can be developed to solve the other free and moving boundary problems, for example, seepage . |
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