Research on a Numerical Calculation for Ball Bearings Based on a Finite Initial Value Search Method

Table 3

The comparison of the search data and the calculation time of a single-layer ball bearing.

Bearings type	Test	Working condition			The number of search times		Total time (s)		The single search time (s)
		Fr (N)	Fa (N)	n (r/min)	Newton–Raphson method	Proposed method	Newton–Raphson method	Proposed method	Newton–Raphson method	Proposed method
71808	1	200	200	10000	By trying the initial value manually, the uncertainty of the initial value determines the uncertainty of the search times.	3	By trying the initial value manually, the uncertainty of the initial value determines the uncertainty of the total times.	27.323	By trying the initial value manually, the uncertainty of the initial value determines the uncertainty of the single search times.	9.1077
	2	200	200	20000		3		29.641		9.8803
	3	200	200	30000		4		40.126		10.0315
	4	200	200	40000		5		48.753		9.7506
	5	200	400	10000		3		28.142		9.3807
	6	200	400	20000		3		28.97		9.6567
	7	200	400	30000		5		49.211		9.8422
	8	200	400	40000		7		60.094		8.5849
	9	200	600	10000		3		28.639		9.5463
	10	200	600	20000		3		29.785		9.9283
	11	200	600	30000		7		62.193		8.8847
	12	200	600	40000		8		70.516		8.8145
B218	13	500	1000	0		3		26.763		8.9210
	14	500	1000	5000		5		35.267		7.0534
	15	500	1000	10000		7		56.726		8.1037
	16	500	1500	0		3		29.878		9.9593
	17	500	1500	5000		6		47.252		7.8753
	18	500	1500	10000		7		59.646		8.5209
	19	1000	2000	0		3		27.514		9.1713
	20	1000	2000	5000		4		36.582		9.1455
	21	1000	2000	10000		6		46.913		7.8188
	22	1000	3000	0		3		31.122		10.3740
	23	1000	3000	5000		7		60.537		8.6481
	24	1000	3000	10000		8		67.128		8.3910