Fault Detection of Inline Reciprocating Diesel Engine: A Mass and Gas-Torque Approach

Table 4

Natural frequency of whole system = 4162 vpm.

	Mass no.	Moment of inertia; 𝐽	Torque per unit deflection; 𝐽𝜔^2	Deflection in plane of mass; 𝜃	Torque in plane of mass; 𝐽𝜔^2𝜃	Total torque; Σ𝐽𝜔^2𝜃	Shaft stiffness; 𝐶	Change in deflection; Δ𝜃
		Kg m^2	MN m	±rad	MN m	MN m	MN m/rad	rad
Pulley	1	0.094	2.016259	1	2.016259	2.016259	0.391	0.974415
Cyl.1	2	0.075	0.07293367	−3.164426946	0.018660	2.034920	1.952	0.914119
Cyl.2	3	0.075	0.07293367	−1.8924842	−0.648040	1.386879	1.952	0.623009
Cyl.3	4	0.075	0.07293367	0.639015657	−1.102423	0.2844561	1.952	0.127782
Cyl.4	5	0.075	0.07293367	2.745213832	−1.195620	−0.911163	1.952	−0.40931
Cyl.5	6	0.075	0.07293367	3.024314267	−0.897095	−1.808259	1.952	−0.81235
Cyl.6	7	0.075	13.164734	1.290559567	2.125865	0.01295095	3.52	0.161948
Flywheel	8	1.97	27.805941	−0.147208403	−0.0129509	0.03691𝐸−6
	𝐹=4162 vpm (vibration per min.)