On the Free Vibration Modeling of Spindle Systems: A Calibrated Dynamic Stiffness Matrix

Table 2

Spindle natural frequencies versus various spinning speeds, for flexible boundary conditions; 𝐾_𝑠=2.1×10⁸ N/m.

Mode	9.55; (RPM) (Ω≅0)	4784.2; (RPM)	9558.9; (RPM)	14334; (RPM)	19108; (RPM)	23883; (RPM)	28657; (RPM)	33432; (RPM)
1	1004.27	924.69	845.11	765.54	685.96	606.38	526.80	447.23
2	1004.59	1084.16	1143.21	1063.63	984.06	904.48	824.90	745.32
3	1302.37	1222.79	1163.741	1134.14	1054.56	974.98	895.41	815.83
4	1302.68	1293.29	1213.716	1243.32	1322.90	1402.47	1468.05	1388.47
5	1372.87	1382.26	1461.838	1541.42	1541.42	1547.62	1482.05	1561.63
6	1373.19	1452.77	1532.344	1611.92	1627.20	1700.57	1780.15	1859.73