PSI - Issue 33

Yuwana Sanjaya et al. / Procedia Structural Integrity 33 (2021) 51–58 Sanjaya et al. / Structural Integrity Procedia 00 (2019) 000–000

55 5

Table 4. Stress ratio of the wheel rim. E size (mm) Nodes

σ v-M (MPa)

Benchmark σ v-M (MPa)

σ v-M Ratio

Elements

10 15 20 25 30 35 40 45 50 55 60

109303 53013 35613 27005 21262 18338 17194 15844 15103 14476 13991

54137 26720 17957 13598 10776

164.38 128.68 131.08 125.81 117.56 116.28 119.45 104.62 115.82 112.45 124.9

140.056 140.056 140.056 140.056 140.056 140.056 140.056 140.056 140.056 140.056 140.056

1.174 0.919 0.936 0.892 0.898 0.839 0.830 0.853 0.747 0.827 0.803

9399 8842 8148 7800 7436 7147

Convergence study represent graphically to Fig. 2. (a) where the displacement ratio that is close to convergence is the first variation at a mesh size of 10 mm with displacement ratio of 0.989, the nodes is 109303, and the elements is 54137. In the second variation, the mesh size of 15 mm has a displacement ratio of 0.919, the nodes is 53013, and the element is 26720. In the third variation, the mesh size of 20 mm has displacement ratio of 0.938, with the nodes is 35613, and the elements is 17957. Fig. 3. (a), Fig. 3. (b), and Fig. 3. (c) show the displacement profiles of each size mesh that convergence. The results are graphically presented in Fig. 2. (b). Convergence study represent graphically to Fig. 3 where the displacement ratio that is close to convergence is the first variation at a mesh size of 10 mm with displacement ratio of 1.174, the nodes is 109303, and the elements is 54137. In the second variation, the mesh size of 15 mm has a displacement ratio of 0.919, the nodes is 53013, and the element is 26720. In the third variation, the mesh size of 20 mm has displacement ratio of 0.936, with the nodes is 35613, and the elements is 17957. Fig. 4. (a), Fig. 4. (b) and Fig. 4. (c) show the displacement profiles of each size mesh that convergence.

(a)

(b)

Fig. 2. (a) Mesh convergence study with displacement ratio; and (b) mesh convergence study with stress ratio.