On the next page is a schematic diagram of an actual marine propulsion system consisting of an 8-cylinder in-line engine, flywheel, coupling, gearbox, shaft and water jet. A torsional vibration damper is attached to the non-drive end of the engine. Use Holzer's method to estimate the lowest four torsional natural frequencies of this system to the nearest + 0.1 Hz. Also determine and sketch the mode shapes for each of the four natural frequencies, assuming unit amplitude for the damper (mass element number 100). Assuming that the engine is a four-stroke type (giving four power strokes per revolution in this 8-cylinder case), determine the engine running speeds, in rpm, that would cause the frequency of engine combustion torque pulses to coincide with these four system natural torsional frequencies. So that each student has a different system, the moment of inertia of mass element number 500 (the flywheel) shall be replaced with one of the following magnitude. Your 8 digit student number can be written as 'pqrstuvw'. Then let your flywheel moment of inertia be:

On the next page is a schematic diagram of an actual marine propulsion system consisting of an 8-cylinder in-line engine, flywheel, coupling, gearbox, shaft and water jet. A torsional vibration damper is attached to the non-drive end of the engine. Use Holzer's method to estimate the lowest four torsional natural frequencies of this system to the nearest + 0.1 Hz. Also determine and sketch the mode shapes for each of the four natural frequencies, assuming unit amplitude for the damper (mass element number 100). Assuming that the engine is a four-stroke type (giving four power strokes per revolution in this 8-cylinder case), determine the engine running speeds, in rpm, that would cause the frequency of engine combustion torque pulses to coincide with these four system natural torsional frequencies. So that each student has a different system, the moment of inertia of mass element number 500 (the flywheel) shall be replaced with one of the following magnitude. Your 8 digit student number can be written as 'pqrstuvw'. Then let your flywheel moment of inertia be:

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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