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guideline. The guideline should be followed in the future measurements to get better initial values for the rigid body calculations.

WinRemo can also be used to calculate dynamic response of the system by entering the external excitation forces to the model. The reason the rigid body modes are excited by the internal excitations, is because large engine cannot be considered perfect rigid body, and thus the natural modes we call rigid body modes, have not ideally rigid shape. Since WinRemo assumes the body rigid, and only external excitations can be entered to the program for the response analysis, it should be studied how large amplitude external excitation is needed for corresponding vibration response. In this way, by finding equiv- alent external forces for the internal forces, the fast and designer-oriented program could possibly be used for the response calculation taking also internal excitations into ac- count.

REFERENCES

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[3] B. Schwarz, S. Richardson, M. Richardson, Using Mode Shapes for Real Time ODS Animation. In: Topics in Modal Analysis, Volume 10. Cham: Springer Inter- national Publishing, 2015, pp. 103–113.

[4] E. Köhler, E Schopf, U. Mohr, Crankshaft Assembly Design - Mechanics and Loading, In: K. Mollenhauer, H. Tschoeke (eds.), Handbook of Diesel Engines, URL: https://doi.org/10.1007/978-3-540-89083-6_7, Springer-Verlag, Berlin Hei- delberg, 2010, pp. 221-290.

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ed., Wiley, New York, 1974.

[6] M. Afzal, Flexible Mounting System Design, Theory and Practice, Master of Sci- ence Thesis in Sound and Vibration, KTH, Stockholm, 2009.

[7] J. Fragasso et al, Characterization of resilient mounts for marine diesel engines:

Prediction of static response via nonlinear analysis and response surface meth- odology, Ocean Engineering 171, 2009, pp.14-24.

[8] D. Thorby. Structural Dynamics and Vibration in Practice: An Engineering Hand- book. 1st ed., Elsevier Science & Technology, Oxford 2008.

[9] M. Norton, Michael, D. Karczub. Fundamentals of noise and vibration analysis for engineers, Second edition. Cambridge University Press, Cambridge, 2003, ISBN: 0-521-49913-5.

[10] Wärtsilä Basic Vibration Course, Internal document, 2016.

[11] Wärtsilä Advanced Vibration Course, Internal document, 2016.

[12] L. Maurice, JR. Adams, Rotating Machinery Vibration, Second edition, Case Western Reserve University Cleveland, Ohio, 2010, ISBN: 978-1-4398-0717-0.

[13] T. Schmitz, K. Smith, Mechanical Vibrations, University of North Carolina at Charlotte, Charlotte, NC, USA, 2012, ISBN 978-1-4614-0459-0.

[14] XK Dynamic Stiffness - W31 main engines, Internal document, 2021.

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[18] R. Clough, J. Penzien, Dynamics of structures, 3rd edition, Computers & Struc- tures, Inc. Berkeley, CA, USA, 1995.

[19] Annular Ceramic Shear Sensor Lightweight, Voltage Mode, Triaxial Accelerom- eter, Kistler datasheet, [Online], Available: https://www.kistler.com/files/docu- ment/000-456e.pdf?callee=frontend, Cited 10/6/2022.

[20] A. Gent, R. Campion et al, Engineering with Rubber, 2nd edition, Hanser Pub- lishers, Munich, 2001, ISBN 1-56990-299-2.

[21] Web: S. Hanly, Piezoelectric Accelerometers: Mysteries On How They Work...

Revealed!, Endaq blog, [Online], Available: https://blog.endaq.com/piezoelec- tric-accelerometers-how-they-work-and-where-to-buy, Cited 10/6/2022.

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APPENDIX A: CALCULATED ENGINE EXCITATIONS

W8V31 Excitations

W8V31 Engine data

W8V31 External forces & force couples

W8V31 Internal mass forces

W8V31 Internal gas forces

W16V31 Excitations

W16V31 Engine data

W16V31 External forces & force couples

W16V31 Internal mass forces

W16V31 Internal torsion excitations from gas forces

W12V31 Excitations

W12V31 Engine data

W12V31 External forces & force couples

W12V31 Internal mass forces

W12V31 internal gas forces

APPENDIX B: W8V31DF ENGINE RIGID BODY CALCULATIONS

Figure 46. WinRemo model of the W8V31DF engine. The large block consists of the whole weighed engine with flywheel. The second-largest block is the power take-off axle and the flexible coupling. The small boxes are feet for the flexible mounts and liquids in the engine. The small, numbered squares are stiffness elements for flexible mounts (1- 10), flexible coupling (11) and exhaust bellow (12).

Figure 47. Modelling of a mass element of an engine in WinRemo.

Figure 48. Modelling of a non-linear flexible mount in WinRemo.

Figure 49. Modelling of a linear flexible mount in WinRemo.

Figure 50. Modelling of flexible coupling in WinRemo

Results:

APPENDIX C: MEASUREMENT SETTINGS

Frontend settings for nominal speed and sweep & stop with ODS:

Nominal speed measurement settings

Sweep & stop settings

Front-end settings for hydraulic shaker measurement with sinusoidal sweep excitation:

Hydraulic shaker measurement settings with sinusoidal sweep excitation:

Frontend settings for hydraulic shaker measurement with random noise excitation

Hydraulic shaker settings with random noise excitation

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