From 4ede49f910c571cbcc71064d866974a136e6257b Mon Sep 17 00:00:00 2001 From: Chris Cameron <c.g.cameron0@gmail.com> Date: Fri, 16 Apr 2021 10:20:35 -0400 Subject: [PATCH] dynamic validation update --- DifferentialEquations.md | 0 dynamicVal_post.py | 4 ++-- dynamic_validation.md | 14 ++++++++++++++ images/voxel_dynamic.png | Bin 0 -> 1223229 bytes images/voxel_frequency.png | Bin 0 -> 62074 bytes images/voxel_time_series.png | Bin 0 -> 68666 bytes julia/include/run.jl | 6 +++--- julia/include/updateEdges.jl | 2 +- 8 files changed, 20 insertions(+), 6 deletions(-) create mode 100644 DifferentialEquations.md create mode 100644 images/voxel_dynamic.png create mode 100644 images/voxel_frequency.png create mode 100644 images/voxel_time_series.png diff --git a/DifferentialEquations.md b/DifferentialEquations.md new file mode 100644 index 0000000..e69de29 diff --git a/dynamicVal_post.py b/dynamicVal_post.py index da10604..c0fbec2 100644 --- a/dynamicVal_post.py +++ b/dynamicVal_post.py @@ -107,13 +107,13 @@ if __name__ == "__main__": X = np.array(X) Z = np.array(Z) - dt = 3.1483100054946037e-7 + dt = 4 * 3.1483100054946037e-7 steps = 3000000 filesteps = steps / nfiles dT = dt * filesteps t = np.arange(0, dT * nfiles, dT) plt.plot(t, 1000 * Z[:, -3:-1]) - plt.xlim([0, 1]) + plt.xlim([0, 4]) plt.xlabel("Time [s]") plt.ylabel("Displacement [mm]") Sz = np.fft.fft(Z[:, -3:-1], axis=0) diff --git a/dynamic_validation.md b/dynamic_validation.md index a8cb4b0..93b817f 100644 --- a/dynamic_validation.md +++ b/dynamic_validation.md @@ -1,5 +1,11 @@ # Validation of MetaVoxels Dynamics +What raised the question? + +I put together a tendon model that calculated reactions at each node in the tendon path including friction in the hopes of recreating the experimental data that alfonso acquired. The model has just one parameter, coefficient of friction, and captures the behavior of varying deflection along the beam. But the dynamic behavior seemed very off, the beam doesn't make it to equilibrium and there is a very slow compression wave that travels down the beam under initial loading. + +<img src="json/tutorial/output.mp4" /><br></br> + Here's a running notebook of my work to perform validation of the dynamic characteristics of the MetaVoxels beam solver. The key questions are: 1. Are we calculating the mass matrix correctly? @@ -115,3 +121,11 @@ for node in nodes: Now this gets messy. The inertia0 term is aligned with the edge coordinates and will return a diagonal array of moments of inertia. When we transform to global coordinates we will (in all but a few cases) get products of inertia or off-diagonal terms in the inertia matrix. To be consistent we should keep these terms and calculate the inverse inertial matrix. Update the nodal rotational velocity then becomes a matrix-vector product of the applied moment and the inertia_inverse matrix. Additionally if we're allowing for large deformations we'll need to recalculate node.inertia and node.inertia_inverse in global coordinates (unless I misunderstand and we do our moment*inertia_inverse in nodal coords before transforming to global coords). +## Validation against voxel beam + +I've begun work collecting the impulse response of a cantilevered 5x1 voxel beam. The data shown below was acquired using the microcontroller-imu setup from the voxelcopter, but the next step is setting up the laser displacement sensor for higher rate, non-contact measurement. + +<img src="images/voxel_dynamic.png" width=500><br></br> + + + \ No newline at end of file diff --git a/images/voxel_dynamic.png b/images/voxel_dynamic.png new file mode 100644 index 0000000000000000000000000000000000000000..c0b8239067636f5bec26fd1affacb65ff67d8d69 GIT binary patch literal 1223229 zcmZU(1ymeCvnY%P2o@l?1&0K8S(d=!ZV3?F-EDD);O_1Y!JS}Xk>Jkau(-SP^4)v? z_wG6WoHNrsrBl^4)!j7{uB<49`JUuG92^{`jI_8a92^1|4i1SE_1!;+P;lTs1ctOF z2&60n0)0|;vNyA|F@=MZ4o^-+QCAx#@!v~P$NljMK~>DY;NyX+m<0|}(R*GoTxmuQ zS|pr~(fao_y5c>dH4%*M1YhSP+Ib0jPk&Gls3*DB8Gv94@2ie-?$$is1f0)O{aznN zO-{SG;Pz+Fi>7td3H<>w0n9+^U>+u(Xo<sjs67E#aB#2-n5vtO4z~%r%Uefh7glw? zj-$%sqxqX3zHor@I0{^NP!?6()zv3TBsjKBIa6e~4?cNoo@N2+!)l*MhYSMaie<-D zox>BjW_8NzWuo@Ju3^HZ4{i_F!%f<SdVZ%8L4Ta;MqBzu{Xq_Hk_v>i6A4BbijR|m 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zHarqBM!=V~sl17V2=ec%a>G;$C8-DfGWh+SvdHuQcWaAWl@C#==8Fqt+R1rP)ei1U J-h1@oe*mbedTjsz literal 0 HcmV?d00001 diff --git a/julia/include/run.jl b/julia/include/run.jl index 69225a1..5c3a685 100644 --- a/julia/include/run.jl +++ b/julia/include/run.jl @@ -413,7 +413,7 @@ function runMetaVoxels!(setup, folderPath, sys="GPU") E_intForce2 = fill(Vector3(), linkCount) E_intMoment2 = fill(Vector3(), linkCount) - E_damp = fill(false, linkCount) + E_damp = fill(true, linkCount) E_smallAngle = fill(true, linkCount) E_material = fill(edgeMaterial(), linkCount) @@ -598,7 +598,7 @@ function runMetaVoxels!(setup, folderPath, sys="GPU") temp = eHat * E_material[1].b * E_material[1].h / ((0.0 + 1.0) * E_material[1].L) MaxFreq2 = temp / mass end - dt = 1.0 / (6.283185 * sqrt(MaxFreq2)) + dt = 4.0 / (6.283185 * sqrt(MaxFreq2)) if (logging) println("dt: $dt, s: $s, mass: $mass, momentInertiaInverse: $(N_material[1].momentInertiaInverse)") end @@ -747,4 +747,4 @@ function doTimeStep!(metavoxel, dt, currentTimeStep, sys="GPU") ) end -end +end \ No newline at end of file diff --git a/julia/include/updateEdges.jl b/julia/include/updateEdges.jl index ae02db5..a1998b5 100644 --- a/julia/include/updateEdges.jl +++ b/julia/include/updateEdges.jl @@ -169,7 +169,7 @@ function updateEdges!(sys,i,dt,currentTimeStep,E_source,E_target,E_sourceNodalCo zeta = 1.0 dampingM = convert(Float64, E_material[i].dampingM) / dt * 1.0 - dampingM = 0 + # dampingM = 0 dampingMultiplier = Vector3(dampingM, dampingM, dampingM) -- GitLab