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33aea672a1 |
47
doc/main.tex
47
doc/main.tex
@ -56,15 +56,16 @@
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m_{rover} &= 6 & [kg] \\
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m_{rover} &= 6 & [kg] \\
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w &= 400 & [mm] \\
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w &= 400 & [mm] \\
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l &= 250 & [mm] \\
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l &= 250 & [mm] \\
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\alpha_{typ} &= 20 & [deg] \\
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\theta_{typ} &= 20 & [deg] \\
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\alpha_{max} &= 30 & [deg]
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\theta_{max} &= 30 & [deg]
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\end{align*}
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\end{align*}
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De wielen hebben de volgende eigenschappen:
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De wielen hebben de volgende eigenschappen:
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\begin{align*}
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\begin{align*}
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r &= 0.075 & [m] \\
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r &= 0.075 & [m] \\
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\mu_s &= 0,9 & [-] \\
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\mu_s &= 0,9 & [-] \\
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C_r &= 0,1 & [-]
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C_r &= 0,1 & [-] \\
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J &= 2.1 \cdot 10^{-3} & [kg\cdot m^2]
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\end{align*}
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\end{align*}
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\subsection{Eisen}
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\subsection{Eisen}
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@ -72,7 +73,9 @@
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\begin{align*}
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\begin{align*}
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v_{max} &= 2.1 & [m/s] \\
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v_{max} &= 2.1 & [m/s] \\
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a_{acc} &= 0.7 & [m/s^2] \\
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a_{acc} &= 0.7 & [m/s^2] \\
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a_{dec} &= 0.5 & [m/s^2]
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a_{dec} &= 0.5 & [m/s^2] \\
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\alpha_{acc} &= \frac{a_{acc}}{r} = 9.33 & [rad/s^2]\\
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\alpha_{dec} &= \frac{a_{dec}}{r} = 6.66 & [rad/s^2]\\
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\end{align*}
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\end{align*}
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@ -139,14 +142,15 @@
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F_{eff} &= m \cdot a \\
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F_{eff} &= m \cdot a \\
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&= 1.5 \cdot 0.7 \\
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&= 1.5 \cdot 0.7 \\
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&= 1.05 & [N] \\
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&= 1.05 & [N] \\
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\\
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F_{aand} &= F_{eff} + F_{rol} \\
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F_{aand} &= F_{eff} + F_{rol} \\
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&= 1.05 + 0.24375 \\
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&= 1.05 + 0.24375 \\
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&= 1.29375 & [N]
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&= 1.29375 & [N] \\
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\\
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T_{traag} &= J \cdot \alpha_{acc} \\
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T_{as} &= F_{aand} \cdot r \\
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&= 2.1\cdot10^{-3}\cdot 9.33 \\
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&=(F_{eff}+F_{rol}) \cdot r \\
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T_{as} &= F_{aand} \cdot r +T_{traag}\\
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&=97.03125 & [mNm]
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&=(F_{eff}+F_{rol}) \cdot r +T_{traag}\\
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&= 97.03125 + 19.593 \\
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&= 116.62425 & [mNm]
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\end{align*}
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\end{align*}
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\subsubsection{Vertragen}
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\subsubsection{Vertragen}
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@ -154,14 +158,15 @@
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F_{eff} &= m \cdot a \\
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F_{eff} &= m \cdot a \\
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&= 1.5 \cdot 0.5 \\
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&= 1.5 \cdot 0.5 \\
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&= 0.75 & [N] \\
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&= 0.75 & [N] \\
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\\
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F_{aand} &= F_{eff} - F_{rol} \\
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F_{aand} &= F_{rol} - F_{eff} \\
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&= 0.75 - 0.24375\\
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&= 0.24375 - 0.75 \\
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&= 0.50625 & [N] \\
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&= -0.50625 & [N]
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T_{traag} &= J \cdot \alpha_{dec} \\
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\\
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&= 2.1\cdot10^{-3}\cdot 6.66 \\
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T_{as} &= F_{aand} \cdot r \\
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T_{as} &= F_{aand} \cdot r + T_{traag}\\
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&=(F_{eff}-F_{rol}) \cdot r \\
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&=(F_{eff}-F_{rol}) \cdot r + T_{traag}\\
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&=-37.96875 & [mNm]
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&= 37.96875 + 13.986 \\
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&= 51.95475 & [mNm]
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\end{align*}
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\end{align*}
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\subsection{Dalende ondergrond}
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\subsection{Dalende ondergrond}
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@ -179,13 +184,13 @@
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&= 1.5 \cdot 1.625 \\
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&= 1.5 \cdot 1.625 \\
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&= 2.4375 & [N] \\
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&= 2.4375 & [N] \\
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\\
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\\
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\alpha &= 20 & [deg] \\
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\theta &= 20 & [deg] \\
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\\
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\\
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F_N &= F_{z1} \\
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F_N &= F_{z1} \\
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F_{z1} &= \cos{\alpha}\cdot F_{z}\\
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F_{z1} &= \cos{\theta}\cdot F_{z}\\
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&= \cos{20}\cdot 2.4375 \\
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&= \cos{20}\cdot 2.4375 \\
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&= 2.2905 & [N] \\
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&= 2.2905 & [N] \\
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F_{z2} &= \sin{\alpha}\cdot F_{z}\\
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F_{z2} &= \sin{\theta}\cdot F_{z}\\
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&= \sin{20}\cdot 2.4375 \\
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&= \sin{20}\cdot 2.4375 \\
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&= 0.834 & [N] \\
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&= 0.834 & [N] \\
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\end{align*}
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\end{align*}
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10
src/plot.py
10
src/plot.py
@ -22,11 +22,11 @@ w = np.linspace(0,5050,x_lim)
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fig, (ax1,ax2,ax3)= plt.subplots(1,3,figsize=(18,6))
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fig, (ax1,ax2,ax3)= plt.subplots(1,3,figsize=(18,6))
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ax1.plot(w,T_1a,label="T_1a",linestyle=(0,(3,1,1,1)))
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# ax1.plot(w,T_1a,label="T_1a",linestyle=(0,(3,1,1,1)))
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ax1.plot(w,T_1b,label="T_1b",linestyle=(0,(3,1,1,1)))
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# ax1.plot(w,T_1b,label="T_1b",linestyle=(0,(3,1,1,1)))
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ax1.plot(w,T_1c,label="T_1c",linestyle=(0,(3,1,1,1)))
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# ax1.plot(w,T_1c,label="T_1c",linestyle=(0,(3,1,1,1)))
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ax1.plot(w,T_2,label="T_2",linestyle=(0,(3,1,1,1)))
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# ax1.plot(w,T_2,label="T_2",linestyle=(0,(3,1,1,1)))
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ax1.plot(w,T_3,label="T_3",linestyle=(0,(3,1,1,1)))
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# ax1.plot(w,T_3,label="T_3",linestyle=(0,(3,1,1,1)))
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ax2.plot(w,T_1a,label="T_1a",linestyle=(0,(3,1,1,1)))
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ax2.plot(w,T_1a,label="T_1a",linestyle=(0,(3,1,1,1)))
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ax2.plot(w,T_1b,label="T_1b",linestyle=(0,(3,1,1,1)))
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ax2.plot(w,T_1b,label="T_1b",linestyle=(0,(3,1,1,1)))
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ax2.plot(w,T_1c,label="T_1c",linestyle=(0,(3,1,1,1)))
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ax2.plot(w,T_1c,label="T_1c",linestyle=(0,(3,1,1,1)))
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