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

Table 4

The comparison of the search data and the calculation time of the double-decker 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
71901C; 71905C	1	200	200	10000	By trying the initial value manually, the uncertainty of the initial value determines the uncertainty of the search steps.	6	By trying the initial value manually, the uncertainty of the initial value determines the uncertainty of the total times.	90.143	By trying the initial value manually, the uncertainty of the initial value determines the uncertainty of the single search times.	15.0238
	2	200	200	20000		7		108.636		15.5194
	3	200	200	30000		7		112.581		16.0830
	4	200	200	40000		8		131.64		16.4550
	5	200	400	10000		6		92.591		15.4318
	6	200	400	20000		7		115.74		16.5343
	7	200	400	30000		8		136.219		17.0274
	8	200	400	40000		8		137.415		17.1769
	9	200	600	10000		7		106.173		15.1676
	10	200	600	20000		7		128.318		18.3311
	11	200	600	30000		8		149.363		18.6704
	12	200	600	40000		8		150.817		18.8521