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Advance Modeling of a Skid-Steering Mobile Robot for Remote ...

Advance Modeling of a Skid-Steering Mobile Robot for Remote ...

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LIST OF FIGURESVII6.4 (a) Block scheme <strong>for</strong> the longitudinal reaction <strong>for</strong>ce; (b) Block scheme <strong>for</strong>the contact point dynamics. . . . . . . . . . . . . . . . . . . . . . . . . . . 846.5 (a) Simulation result <strong>for</strong> Roll motion and its envelop; (b) FFT <strong>of</strong> the simulationresult <strong>for</strong> Roll motion. . . . . . . . . . . . . . . . . . . . . . . . . . . 886.6 (a) Simulation result <strong>for</strong> Pitch motion and its envelop; (b) FFT <strong>of</strong> the simulationresult <strong>for</strong> Pitch motion. . . . . . . . . . . . . . . . . . . . . . . . . . 896.7 (a) Simulation result <strong>for</strong> the cable <strong>for</strong>ce by pulling the robot plat<strong>for</strong>m sidewardsat v y = 1 mm sand at different heights, when the wheels are stopped; (b)Simulation result <strong>for</strong> the cable <strong>for</strong>ce by pulling the robot plat<strong>for</strong>m sidewardsat v y = 1 mm s, when the wheels are spinning at different velocities. . . . . . . 916.8 Simulation result <strong>for</strong> moving along a straight line at v x = 1 m s with λ max = 10 −4 . 936.9 Simulation result <strong>for</strong> swiveling in place at w z = 60 degswith: (a) λ max = 1; (b)λ max = 10 −4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 946.10 Low-pass filtered data from accelerometers and their FFT on concrete <strong>for</strong>:(a) ω ∗ z = 10 degs ; (b) ω∗ z = 30 degs ; (c) ω∗ z = 60 degs . . . . . . . . . . . . . . . . 1066.11 Low-pass filtered data from accelerometers and their FFT on tile <strong>for</strong>: (a)ω ∗ z = 10 degs ; (b) ω∗ z = 30 degs ; (c) ω∗ z = 60 degs . . . . . . . . . . . . . . . . . . 1076.12 Low-pass filtered data from accelerometers and their FFT on carpet <strong>for</strong>: (a)ω ∗ z = 10 degs ; (b) ω∗ z = 30 degs ; (c) ω∗ z = 60 degs . . . . . . . . . . . . . . . . . . 1086.13 Peak frequencies on concrete <strong>for</strong>: (a) a x ; (b) a y ; (c) a z . . . . . . . . . . . . . 1096.14 Peak frequencies on tile <strong>for</strong>: (a) a x ; (b) a y ; (c) a z . . . . . . . . . . . . . . . 1106.15 Peak frequencies on carpet <strong>for</strong>: (a) a x ; (b) a y ; (c) a z . . . . . . . . . . . . . . 1116.16 Amplitude <strong>of</strong> the data on: (a) Concrete; (b) Tile; (c) Carpet. . . . . . . . . . 1126.17 Low-pass filtered data from accelerometers and their FFT without the aluminumframe on concrete <strong>for</strong>: (a) ω ∗ z = 10 degs ; (b) ω∗ z = 30 degs ; (c) ω∗ z = 60 degs .1136.18 Low-pass filtered data from accelerometers and their FFT without the aluminumframe on carpet <strong>for</strong>: (a) ω ∗ z = 10 degs ; (b) ω∗ z = 30 degs ; (c) ω∗ z = 60 degs . 1146.19 Peak frequencies without the aluminum frame on concrete <strong>for</strong>: (a) a x ; (b) a y ;(c) a z . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1156.20 Peak frequencies without the aluminum frame on carpet <strong>for</strong>: (a) a x ; (b) a y ;(c) a z . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 116

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