From 0727241eaf676d4d78d2ebdfbc3cd9952fa90f2c Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?WANG=20J=C3=A9r=C3=A9my?= Date: Tue, 20 May 2025 17:08:12 +0200 Subject: [PATCH 1/4] add graphs and doc for angles MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Signed-off-by: WANG Jérémy --- .../assets/angle_line_direct.drawio.png | Bin 0 -> 85058 bytes .../assets/angle_line_points.drawio.png | Bin 0 -> 69983 bytes .../assets/angle_line_side.drawio.png | Bin 0 -> 60990 bytes docs/user_guide/ug_cable_model.md | 33 ++++++++++++++++++ 4 files changed, 33 insertions(+) create mode 100644 docs/user_guide/assets/angle_line_direct.drawio.png create mode 100644 docs/user_guide/assets/angle_line_points.drawio.png create mode 100644 docs/user_guide/assets/angle_line_side.drawio.png diff --git a/docs/user_guide/assets/angle_line_direct.drawio.png b/docs/user_guide/assets/angle_line_direct.drawio.png new file mode 100644 index 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We want to compute $a_{cable}$ and $b_{cable}$ depending on $a$, the line angles, the arm lengths and the chain deplacements -$C_i$ and $C_{i+1}$ are the points where cable is attached at the end of the suspension chains, respectively on left and right support +$A_i$ and $A_{i+1}$ (**attachments points**) are the points where cable is attached at the end of the suspension chains, respectively on left and right support. These are the points we want at the end. -$A_i$ and $A_{i+1}$ are the points of the end of the arms, respectively on left and right support +$E_i$ and $E_{i+1}$ (**edge_arm points**) are the points of the end of the arms, respectively on left and right support -$S_i$ and $S_{i+1}$ are the points on the support where the arms are attached +$C_i$ and $C_{i+1}$ (**center_arm points**) are the points on the support where the arms are attached -![Image not available](./assets/angle_line_points.drawio.png "Cable plane image") +$G_i$ and $G_{i+1}$ (**support ground points**) are the points on the ground where the support is set. More precisely, this point is the barycenter of the legs of the support. -![Image not available](./assets/angle_line_side.drawio.png "Cable plane image") +![Image not available](./assets/angle_line_points.drawio.png "Cable plane image up") -$a_{cable} = \|C_lC_{i+1}\|$ +![Image not available](./assets/angle_line_side.drawio.png "Cable plane image side") -We want the coordinates of $C_i$ and $C_{i+1}$ in the span frame of the support $i$ +$a_{cable} = \sqrt{(x_{A_i}-x_{A_{i+1}})^2 + (y_{A_i}-y_{A_{i+1}})^2}$ -In order to get $A_i$, we use point $A_i'$, which is the equivalent point if there wasn't any line angle.\ -Coordinates of $A_i'$ are simply $(x_{S_i}, L_l, z_{S_i})$.\ -Then we can get $A_i$ by applying a rotation of $-\frac{\gamma_{l}}{2}$ around the z axis. +$b_{cable} = |z_{A_i}z_{A_{i+1}}|$ -Same thing for $A_{i+1}$, we use point $A_{i+1}'$.\ -Coordinates of $A_{i+1}'$ are $(x_{S_{i+1}}, L_l, z_{S_{i+1}})$.\ -Then we can get $A_{i+1}$ by applying a rotation of $+\frac{\gamma_{l}}{2}$ around the z axis. -From coordinates of $A_i$ and $A_{i+1}$, you can get coordinates of $C_i$ and $C_{i+1}$, by adding $dep_x$ and $dep_y$ to their coordinates. +We want the coordinates of $A_i$ and $A_{i+1}$ in the span frame of the support $i$ + + + +#### Computing support ground $G_i$ coordinates + +Support ground coordinates $G_i$ are built recursively. Starting from $G_i$, we can build $\overrightarrow{G_{i}G_{i+1}}$, then get coordinates of $G_{i+1}$ + +$\overrightarrow{G_{i}G_{i+1}}$ length is $a$. Its direction can be determined using the line angles $\gamma_i$ + +Then center arm coordinates $C_i$ can be easily computed by adding the altitude of the arm. + + +#### Computing edge arms $E_i$ coordinates + +In order to get $E_i$, we use point $E_i'$, which is the equivalent point if there wasn't any line angle.\ +Coordinates of $E_i'$ are $(x_{C_i}, L_l, z_{C_i})$. Same x and z coordinates than center arm points, but with an arm length along the y axis.\ +Then we can get $E_i$ by applying a rotation of $-\frac{\gamma_{l}}{2}$ around the z axis. + +Same thing for $E_{i+1}$, we use point $E_{i+1}'$.\ +Coordinates of $E_{i+1}'$ are $(x_{C_{i+1}}, L_l, z_{C_{i+1}})$.\ +Then we can get $E_{i+1}$ by applying a rotation of $+\frac{\gamma_{l}}{2}$ around the z axis. + +#### Computing attachement $A_i$ coordinates + +From coordinates of $E_i$ and $E_{i+1}$, you can get coordinates of $A_i$ and $A_{i+1}$, by adding $dep_x$ and $dep_y$ to their coordinates. $dep_z$ can be calculated using the two other coordinates and the insulator length (TODO). 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chain deplacements + +$C_i$ and $C_{i+1}$ are the points where cable is attached at the end of the suspension chains, respectively on left and right support + +$A_i$ and $A_{i+1}$ are the points of the end of the arms, respectively on left and right support + +$S_i$ and $S_{i+1}$ are the points on the support where the arms are attached + +![Image not available](./assets/angle_line_points.drawio.png "Cable plane image") + +![Image not available](./assets/angle_line_side.drawio.png "Cable plane image") + + +$a_{cable} = \|C_lC_{i+1}\|$ + +We want the coordinates of $C_i$ and $C_{i+1}$ in the span frame of the support $i$ + + +In order to get $A_i$, we use point $A_i'$, which is the equivalent point if there wasn't any line angle.\ +Coordinates of $A_i'$ are simply $(x_{S_i}, L_l, z_{S_i})$.\ +Then we can get $A_i$ by applying a rotation of $-\frac{\gamma_{l}}{2}$ around the z axis. + +Same thing for $A_{i+1}$, we use point $A_{i+1}'$.\ +Coordinates of $A_{i+1}'$ are $(x_{S_{i+1}}, L_l, z_{S_{i+1}})$.\ +Then we can get $A_{i+1}$ by applying a rotation of $+\frac{\gamma_{l}}{2}$ around the z axis. + +From coordinates of $A_i$ and $A_{i+1}$, you can get coordinates of $C_i$ and $C_{i+1}$, by adding $dep_x$ and $dep_y$ to their coordinates. + +$dep_z$ can be calculated using the two other coordinates and the insulator length (TODO). ### Catenary model From 4152bc0b6ba31d74b6ba0e0b0637ed1e206225be Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?WANG=20J=C3=A9r=C3=A9my?= Date: Wed, 21 May 2025 14:14:47 +0200 Subject: [PATCH 2/4] Add points on schemas MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Signed-off-by: WANG Jérémy --- .../assets/angle_line_points.drawio.png | Bin 69983 -> 72964 bytes .../assets/angle_line_side.drawio.png | Bin 60990 -> 71837 bytes 2 files changed, 0 insertions(+), 0 deletions(-) diff --git a/docs/user_guide/assets/angle_line_points.drawio.png b/docs/user_guide/assets/angle_line_points.drawio.png index 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