36 Evaluation of the Human-Structure-Soil Interaction on a Two-Wheel Tractor Using Modal Analysis Techniques 343 Fig. 36.2 Main components of the two-wheel tractor Table 36.1 First 6 natural frequencies of the two-wheel tractor handlebar Mode i Frequency ωi [Hz] 1 14.707 2 20.352 3 31.728 4 108.23 5 132.07 6 134.42 Fig. 36.3 First 6 dominant mode-shapes of the two-wheel tractor handlebar of 186 GPa, poisson ratio of 0.29, and a density of 7870 kg/m3. The modal analysis was performed in Ansys Workbench with 41,646 nodes and 21,081 elements, placing fixed supports in the handlebar flange. In Table 36.1 and Fig. 36.3 are shown the first 6 dominant mode-shapes identified during the numerical modal analysis of the handlebar. According to the values of the natural frequencies and the mode-shapes of the handlebar, it can be observed that the first mode (14.707 Hz) and second mode (20.352 Hz) correspond to the bending of the structure in the vertical and horizontal direction, respectively, while the third (31.728 Hz), fourth (108.23 Hz) and fifth (134.42 Hz) modes denote a combination of bending and torsion in the handlebar. The first two mode-shapes are important because these are closely related to a typical Frequency Response Function (FRF) of the human wrist.
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