Multi-objective optimization of free-form texture shape formed by Bezier curves for mechanical seals

Open Access

Table 4

The detailed parameter values of selected optimal shapes.

Optimal shapes	Optimal parameters

	r₁	r₂	r₃	r₄	r₅	r₆	r₇	r₈	r₉	r₁₀
a-1 (k2n6-3)	0.2261	0.3503	0.3404	0.2906	0.1785	0.0798	0.1358	0.3491	0.3442	0.3444
a-2 (k5n3-8)	0.2148	0.3279	0.3271	0.3485	0.1754	0.1392	0.1645	0.3139	0.3095	0.3077
a-3 (k5n3-18)	0.2223	0.3351	0.3468	0.3504	0.3166	0.1614	0.3185	0.3450	0.3368	0.3376
a-4 (k5n3-27)	0.2337	0.3455	0.3552	0.3568	0.3561	0.3570	0.3564	0.3537	0.3528	0.3538

Optimal shapes					Optimal parameters

					r_c					r_y

c-1 (circular-1)					0.1785					0.6395
c-2 (circular-6)					0.2203					0.5254
c-3 (circular-16)					0.2828					0.5254
c-4 (circular-26)					0.3354					0.5146

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