Advanced methods for static and dynamic shafting calculations

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Torsional vibrations in a ship propulsion plant comprising a low-speed two-stroke engine directly coupled to a propeller may be calculated with a one-dimensional mathematical model but, owing to the particular geometry of the engine crankshaft, for reliable results a three-dimensional model should be used for all other vibration calculations. And even for static calculations like alignment there are good reasons to use such an advanced calculation model.<BR>This paper introduces a computer program developed by the Wärtsilä Corporation which provides a threedimensional model of the shafting for the calculation of coupled vibrations, alignment and whirling in such a ship propulsion plant. Based on the finite-element method the program covers both dynamic and static problems. Each node has six degrees of freedom. The following features are included: calculation in frequency range and time domain, linear and nonlinear bearing characteristic, consideration of variation of running gear inertia, and optimization of engine parameters. The mathematical model of the shaft line with all associated parameters and boundary conditions are represented by calculation results and validated by measurement.<BR>Some everyday examples of calculation results for axial vibrations with the associated measured data are shown in this paper. Furthermore the influence of the variation of torsional inertia is demonstrated and a possibility for reduction of torsional stress in the crankshaft by injection timing optimization is explained. As an example for the static capabilities the reverse bearing offset calculation based on measured web deflections, bearing loads and bending moments is demonstrated.

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