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| An analysis method of full dynamic coefficients of a tilting-pad journal bearing |
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| DOI：10.7511/jslx20086171 |
| KeyWord:tilting-pad bearing,dynamic coefficient,equilibrium position,Newton-Raphson method |
| WANG Li-ping QIAO Guang ZHENG Tie-sheng |
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| Abstract: |
| A mathematical model is presented for analyzing the dynamic characteristics of a tilting-pad bearing.This model gives very concise expressions of the full dynamic coefficient matrix of a tilting-pad bearing.The global generalized coordinates associated with degrees of freedom including both journal and each pad are exactly transformed to the journal coordinates relative to the local pad coordinate system(a moving system).Furthermore,the film forces associated with local moving system are transformed to the global generalized forces.Derivatives of the generalized forces give the Jacobian matrices with respect to displacements and velocities of all generalized coordinates.Then the Jacobian matrix with respect to displacements is used to find the equilibrium position of the journal and each pad at a given static load by Newton-Raphson method.The negative Jacobian matrices at equilibrium position are just the full dynamic coefficient matrices.Numerical examples show that the method works satisfactorily. |