Abstract
Radial sliding bearings are widely used in ship shafting, its characteristics of lubricating oil film have important influence on the normal operation of the whole shaft system. In this work, the difference equations which is used to calculate the radial sliding bearing oil film features is transformed into matrix equations, the solving process be converted into solving matrix equation, combined with the powerful matrix calculation function of MATLAB, the solution process is simplified. It is not necessary to set the error precision and relaxation factor, so as to avoid the problem that the calculation result is not stable or even not convergent in the process of Successive Over Relaxation(SOR) method, and the calculation precision and stability are improved. The numerical results of matrix calculation method is compared with the result of SOR method, verified the correctness and feasibility of the matrix calculation method. Because the calculation is relatively stable, the matrix calculation method is more suitable for the calculation core of the relative computing software.
Highlights
Oil-lubricated radial sliding bearing is widely used in ship propulsion shafting, and its good lubrication and stability is related to the safety and normal operation of the whole ship
D 'agostino V et al adopted infinite long bearing hypothesis to obtain approximate analytical solutions for the Reynolds equation of finite length porous bearings[4]; Vignolo G takes the square of the aspect ratio: length over diameter(L/D)2
Sfyris D adopts zero pressure boundary and ignores the influence of eddy cutting velocity, and the approximate analytical solution of Reynolds equation is obtained by using the separation variable method and power series method[6]
Summary
Oil-lubricated radial sliding bearing is widely used in ship propulsion shafting, and its good lubrication and stability is related to the safety and normal operation of the whole ship. Chasalevris A et al established the Reynolds equation for the three-oil leaf bearing and obtained its approximate solution by using the power series method[7]; Zhang YF et al adopted the Reynolds boundary condition, used the separation variable method to solve the problem, and compared the results with the finite element simulation results [8]. Meng Zhiqiang based on the semi-Sommerfeld boundary conditions, using the separation of variables method to solve the finite-bearing nonlinear oil film force[12]. Taking advantage of the powerful matrix calculation function of MATLAB to solve the Reynolds equation under Gumbel boundary conditions (Semi-Sommerfeld conditions), and the related parameters of the lubricating oil film of radial sliding bearing are obtained. It provides a relative stable way to solve the Reynolds equation
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