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Development of a novel mechatronic system for mechanical weed ...

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Results and discussion<br />

The Pythagorean theorem (Equation 5.1 and 5.2), was used <strong>for</strong> calculating a<br />

hoeing widths hw1 and hw2. A few characteristic values <strong>of</strong> the hoeing width are<br />

given in Table 5.5.<br />

2<br />

⎛ hw1⎞<br />

⎜ ⎟ = R - ( R - ( hdmax - hdmin))<br />

⎝ 2 ⎠<br />

2<br />

2 2<br />

⎛ hw2<br />

⎞<br />

⎜ ⎟ = R - ( R - hdmax)<br />

⎝ 2 ⎠<br />

2 2<br />

Table 5.5 Calculation <strong>of</strong> hoeing width in dependence on the arm<br />

length and hoeing depth<br />

For hdmin=15 mm<br />

Arm length [mm]<br />

350 450 550<br />

hw2 (hdmax=20 mm) 233 265 294<br />

hw1 (surface roughness =5 mm) 118 134 148<br />

hw2 (hdmax =25 mm) 260 296 328<br />

hw1(surface roughness =10 mm) 166 189 209<br />

hw2 (hdmax =30 mm) 284 323 358<br />

hw1(surface roughness =15 mm) 203 230 255<br />

5.2.2 Examination <strong>of</strong> influences <strong>of</strong> the angular position θ<br />

to the hoeing trajectories<br />

(5.1)<br />

(5.2)<br />

Kinematical behaviour <strong>of</strong> the hoe’s virtual prototype was simulated in order to<br />

optimise the hoeing process and trajectories <strong>of</strong> duckfoot knives under the soil<br />

surface in the intra-row area. The <strong>for</strong>ward speed <strong>of</strong> the carrier, the plant growth<br />

stage and the arms length and angular position <strong>of</strong> the duckfoot knives have<br />

been varied.<br />

For better understanding <strong>of</strong> the mechanism, kinematical equations <strong>of</strong> the points<br />

presenting the cutting edge <strong>of</strong> each duckfoot knife in one section are given.<br />

77

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