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wiki:sns:intactgh:beginner_ex_4 [2024/01/22 15:28] – grahamwiki:sns:intactgh:beginner_ex_4 [2024/01/31 12:13] (current) – [Hide CAD Model] graham
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-======Ex-4: Planar Orthotropic Materials: Transformation Workflow (Work in Progress) ======+======Ex-4: Planar Orthotropic Materials: Transformation Workflow======
  
 🧰The Rhino and Grasshopper files used in this example can be downloaded below:  🧰The Rhino and Grasshopper files used in this example can be downloaded below: 
-{{:wiki:sns:intactgh:orthotropic_transformations.zip}}+{{:wiki:sns:intactgh:orthotropic_transformation.zip}}
  
-This example demonstrates a workflow for correctly orienting fiber directions based on arbitrary geometries with grasshopper transformation matrices. Following this, a basic static simulation utilizes this newly aligned orthotropic material. +This example demonstrates a workflow for correctly orienting fiber directions to arbitrary geometries using grasshopper transformation matrices. Following this, a basic static simulation setup is provided with the transformed orthotropic material. 
  
   * The key steps involved in setting up the simulation are explained here.   * The key steps involved in setting up the simulation are explained here.
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   * An initial solid box is centered at the origin and rotations are applied in each world plane (XY, YZ, ZX) to yield an arbitrarily oriented surface   * An initial solid box is centered at the origin and rotations are applied in each world plane (XY, YZ, ZX) to yield an arbitrarily oriented surface
-  * For the automated transformations (Grasshopper only) the surfaces of interest along with their normal are extracted (normal to align our Z-axis and longitudinal direction to align our fiber direction or X-axis)+  * For the automated transformations (using only Grasshopper) the surfaces of interest along with their normal are extracted (normal to align our Z-axis and longitudinal direction to align our fiber direction or X-axis)
   * Note, the oriented box geometry and surfaces should be baked for future use in simulation.    * Note, the oriented box geometry and surfaces should be baked for future use in simulation. 
  
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   - Select an origin point   - Select an origin point
   - Select a X-axis direction point (fiber direction)   - Select a X-axis direction point (fiber direction)
-  - Select a Y-axis direction point (follow right-hand rule so the Z-axis or normal points where you want)+  - Select a Y-axis direction point (follow right-hand rule so the Z-axis/normal points where you want)
   - Connect this plane component to the target plane of the "Orient" component where the source plane is the world XY.    - Connect this plane component to the target plane of the "Orient" component where the source plane is the world XY. 
   - This transformation can then be used for an orthotropic material or the matrix can be stored and multiplied if needed.    - This transformation can then be used for an orthotropic material or the matrix can be stored and multiplied if needed. 
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   - Extract surface/plane and use the "Evaluate Surface" component to get the normal and flip the direction if needed. (*here the list item component is used as the geometry is a simple box)   - Extract surface/plane and use the "Evaluate Surface" component to get the normal and flip the direction if needed. (*here the list item component is used as the geometry is a simple box)
-  - Repeat this process for the surface/plane where the normal is aligned with the fiber direction.  +  - Repeat this process for the surface/plane where the normal is aligned with the fiber direction (can get these vectors in many other ways as well)
-  - (Can get these vectors in many other ways as well)+
   - Create a "Plane Normal" component, and attach the normal vector to the Z-axis. (A)   - Create a "Plane Normal" component, and attach the normal vector to the Z-axis. (A)
   - Attach this plane to the "Align Plane" and also attach the fiber direction vector to the direction input. (B)     - Attach this plane to the "Align Plane" and also attach the fiber direction vector to the direction input. (B)  
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 {{:wiki:sns:intactgh:orthotropic_transformations_grasshopper_transformations_multi.png}} {{:wiki:sns:intactgh:orthotropic_transformations_grasshopper_transformations_multi.png}}
 +
 +Here the resultant matrix [B]=[A2]*[A1] where [A2] is rotating about the newly oriented z' axis and [A1] is aligning the xyz' axis to the fiber direction. Note that with this ordering the xyz' axis is oriented first then we rotate that oriented system for simulating alternate fiber orientations such as [-45, 45] plies. 
  
 =====Visualization===== =====Visualization=====
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 =====Example Simulation Setup===== =====Example Simulation Setup=====
  
-Now, for a composite material, add an Orthotropic Material Block from the Comp&Mat menu in Intact.Simulation. Since composite materials also require material orientation, we will need a transformation input (X). For this example, we align Material X to Global X, Material Y to Global Y, and so on.+With these transformations, we can set up a quick example simulation using orthotropic materials. The details of the simulation are described below along with an image of the grasshopper setup. The key difference here is that the "Orthotropic Material" component is used, everything else remains similar in terms of solver resolution/settings and components/restraints/loads.
  
-{{:wiki:sns:intactgh:orthotropic_transformations_grasshopper_ex_sim.png}} +Specifically, the orthotropic material component requires the transformation to be connected from the previous workflow. This transformation aligns the stronger "E1/Ex" material properties to the rotated x-axis and the other properties to the y and z axes respectively.
- +
-  * Connect the transformation output from the previous workflow to the "Orthotropic Material" block %%(c)%% +
- +
-This will align the stronger "E1/Ex" material properties to the rotated x-axis and the other properties to the y and z axes respectively +
- +
-Using the geometry setup, orthotropic material setup, and a few other inputs we can set up all the necessary components (a), restraint (b), and load %%(c)%% blocks.+
  
   * Attach the corresponding geometries to the corresponding component, restraint, or load block.   * Attach the corresponding geometries to the corresponding component, restraint, or load block.
   * Attach the orthotropic material to the component block   * Attach the orthotropic material to the component block
-  * Set the axis for the Torque Load block by clicking "Set one Line" and choosing the two endpoints of the line that goes through the centroid of the largest hole on the motor mount.  +  * Set a pressure load on the +x' face of the plate of -1e6
-  * Attach a slider set to -20 for the "Torque" magnitude in the torque load block+
  
-=====Solver and Visualization Setup=====+{{:wiki:sns:intactgh:orthotropic_transformations_grasshopper_ex_sim.png}} 
 + 
 +====Solver and Visualization Setup====
  
-  * Create a solver settings block as shown in (a)+  * Create a solver settings block as shown in 
       * Set the target resolution (Res) to 150K by attaching a number slider with a value of 150000       * Set the target resolution (Res) to 150K by attaching a number slider with a value of 150000
       * Use the default direct solver type (St)        * Use the default direct solver type (St) 
       * Use the default basis order (B) of 1 for linear elements (basis order = 2 for quadratic elements)       * Use the default basis order (B) of 1 for linear elements (basis order = 2 for quadratic elements)
-  * Create a Stress Solver object as shown in (b)+  * Create a Stress Solver object as shown in 
       * Connect the solver settings (SS)       * Connect the solver settings (SS)
       * Connect the oriented plate component (C)       * Connect the oriented plate component (C)
       * Connect the plate restraint surface (R)       * Connect the plate restraint surface (R)
       * Connect the plate pressure load (L)       * Connect the plate pressure load (L)
-  * Hit solve to compute the solution +  * Solve  
-      * Create a visualization block (d) and connect the solver output to it +      * Create a visualization block and connect the solver output to it 
-      * Optionally, users can connect the visualization settings block %%(c)%% for customizing the views+      * Optionally, users can connect the visualization settings block 
       * Right-click on the visualize block and choose the simulation output for display (e.g., total displacement)       * Right-click on the visualize block and choose the simulation output for display (e.g., total displacement)
       * Again optionally, users can add a deflection scale input to scale the visualized displacement as desired        * Again optionally, users can add a deflection scale input to scale the visualized displacement as desired 
- 
-{{:wiki:sns:intactgh:orthotropic_transformations_solver.png}} 
- 
- 
  
 =====Hide CAD Model===== =====Hide CAD Model=====
   * To better visualize you can hide the geometry in Rhino or set the display to wireframe. This will prevent the object from interfering with the visualization of the simulation.   * To better visualize you can hide the geometry in Rhino or set the display to wireframe. This will prevent the object from interfering with the visualization of the simulation.
-The displacement distribution resulting from this static simulation example is displayed below. The maximum displacement is near .5 mm. To load the simulation results later, create a simulation reader block, right-click, select the simulation, and connect it to a visualize block.+The displacement distribution resulting from this static simulation example is displayed below. The maximum displacement is near 0.07 mm for fibers aligned along the x' (no second rotation). For the 45-degree CW rotation, it should be closer to 0.53 mm. To load the simulation results later, create a simulation reader block, right-click, select the simulation, and connect it to a visualize block.
  
 {{:wiki:sns:intactgh:orthotropic_transformations_displacement.png}} {{:wiki:sns:intactgh:orthotropic_transformations_displacement.png}}
wiki/sns/intactgh/beginner_ex_4.1705962530.txt.gz · Last modified: 2024/01/22 15:28 by graham