Convergence analysis and mesh optimization of finite element analysis related to helical springs

Open Access

Table 2

Comparison of meshed section surface area in function of the order of the elements and the number of nodes along the circumference, with associated error with geometric perfect circular cross section area with radius R = 5 mm: A = 78.53982 mm².

Density n	$A_{n}^{1}$	Error of $A_{n}^{1}$	$A_{n}^{2}$	Error of $A_{n}^{2}$
4	50.00000	36.34%	77.61424	1.18%
8	70.71068	9.97%	78.47869	7.78E-2%
12	75.00000	4.51%	78.52762	1.55E-2%
16	76.53669	2.55%	78.53594	4.93E-3%
24	77.64571	1.14%	78.53905	9.77E-4%
36	78.14168	5.07E-1%	78.53966	1.93E-4%
50	78.33327	2.63E-1%	78.53978	5.19E-5%
75	78.44798	1.17E-1%	78.53981	1.03E-5%
100	78.48815	6.58E-2%	78.53981	3.25E-6%

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