Numerical Modal Analysis of Vibrations in a Three-Phase Linear Switched Reluctance Actuator

Table 1

Vibration modes and modal frequencies for the various configurations of the LSRA.

Mode	Modal frequency [Hz] versus position
	P1	P2	P3	P4	P5
7	67.27	76.28	83.29	74.61	66.01
8	114.87	114.17	106.91	118.36	109.36
9	142.51	133.31	107.96	138.45	137.60
10	175.52	177.25	160.38	171.51	169.90
11	178.47	179.63	196.18	182.10	182.00
12	183.65	185.91	197.18	182.45	192.84
13	192.06	201.20	226.10	198.15	200.20
14	229.72	224.95	230.46	238.03	225.43
15	231.05	233.81	232.35	246.26	226.41
16	236.11	259.79	245.62	252.00	255.63
17	274.10	265.99	267.98	259.09	262.99
18	274.91	279.29	273.38	270.31	263.02
19	281.26	283.36	292.65	273.30	275.82
20	303.34	301.70	302.01	307.98	291.95
21	310.76	321.30	315.90	323.20	308.80
22	312.01	324.63	327.19	329.68	310.67
23	319.94	328.67	340.17	352.62	317.89
24	349.18	340.87	362.89	362.49	342.96
25	364.52	370.28	378.78	366.22	359.26
26	391.72	385.72	389.39	386.77	381.77
27	393.39	393.52	393.81	389.74	393.49
28	401.67	412.83	407.88	393.64	406.28
29	408.05	420.30	424.48	421.56	417.87
30	445.86	444.34	426.82	439.16	446.51
31	460.64	458.13	435.21	441.77	452.72
32	464.62	459.81	456.88	457.06	460.14
33	482.12	487.30	485.02	475.41	480.11
34	507.97	496.05	493.11	484.32	506.62
35	517.11	527.82	515.21	520.72	512.55
36	535.53	533.21	533.67	532.07	535.51
37	561.94	536.65	538.69	536.41	560.46
38	568.90	551.58	548.22	563.17	562.32
39	571.76	567.72	569.77	567.49	568.75
40	609.09	609.74	612.87	600.96	591.67
41	613.01	610.56	614.68	604.45	600.87
42	615.40	624.14	619.41	608.78	613.52
43	621.15	626.46	643.78	620.90	619.89
44	634.65	639.41	645.83	630.18	626.45
45	662.12	665.16	665.34	667.32	657.52
46	665.74	669.92	670.00	676.08	662.39
47	695.07	680.66	687.96	710.79	697.82
48	717.80	711.29	693.04	715.30	712.50
49	719.58	722.00	722.81	730.42	716.95
50	771.81	734.63	723.35	753.20	774.08
51	777.30	751.39	739.10	758.43	774.58
52	802.04	765.50	776.09	771.82	785.75
53	811.87	773.29	782.28	791.84	796.68
54	823.95	790.16	787.46	798.80	798.92
55	843.90	855.28	855.32	842.78	850.71
56	854.42	857.70	856.25	852.88	854.40
57	861.35	860.09	866.13	855.39	861.48
58	862.94	866.28	871.96	862.52	862.03
59	872.50	874.73	884.33	865.95	875.46
60	884.03	885.25	896.82	879.15	883.83
61	894.59	889.17	900.29	901.25	888.56
62	904.18	908.11	925.20	905.52	901.65
63	907.09	922.27	944.63	916.35	903.47
64	940.11	931.39	956.41	922.45	943.24
65	945.23	933.20	971.06	931.89	947.01
66	973.89	959.63	972.38	953.58	969.49
67	981.11	976.12	980.79	975.14	972.52
68	985.77	979.01	982.52	978.04	981.10
69	1013.00	983.15	1002.40	983.45	1008.80
70	1027.30	1013.60	1020.20	1015.80	1025.60
71	1055.90	1031.80	1051.40	1022.00	1028.60
72	1079.60	1054.90	1064.70	1056.40	1061.40
73	1090.60	1084.70	1068.20	1090.80	1089.40
74	1119.80	1090.90	1092.60	1113.80	1092.20
75	1136.30	1095.90	1116.80	1116.20	1135.90
76	1140.20	1141.30	1134.80	1133.80	1146.40
77	1161.70	1153.30	1144.70	1146.70	1159.10
78	1164.20	1177.90	1145.30	1158.50	1172.50
79	1175.10	1196.30	1191.60	1184.80	1180.90
80	1193.40	1220.90	1230.20	1216.10	1194.50