Analysis of a crane hook - Seamplex · Preconditioner gamg Solver cg...
Transcript of Analysis of a crane hook - Seamplex · Preconditioner gamg Solver cg...
Analysis of a crane hook
Number Rev.
SPHK-17-0001 BDate Hash
1-Mar-2017 ba62a27Document type Pages
Technical Report 11
Author
Jeremy Theler [email protected] by
My Boss [email protected] by
His Boss [email protected]
Project
c6500ba4d4e5a5121898a6afdc293af4
Abstract
This document is an example of a report generated online at CAEplex. It shows a mechanical analysis of acrane hook performed 100% on the cloud. The main result is that under a net load of 3 tons, the maximum VonMises stress is equal to 40% of the materials yield strength.’
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Revision history
Rev. Date AuthorB 1-Mar-2017 Jeremy Theler Minor updates in the figure captionsA 1-Mar-2017 Jeremy Theler First issue
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Contents1 Project details 4
1.1 Geometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41.2 Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51.3 Mesh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71.4 Solution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91.5 Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
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1 Project details
CAEplex¹ project settingsName Hook for PDFAuthor Jeremy ThelerUsername jeremyEmail [email protected] ID c6500ba4d4e5a5121898a6afdc293af4Type Linear structural analysisCreation date Wed, 01 Mar 2017 09:15:00 -0500 (EST)Last modification Wed, 01 Mar 2017 09:48:22 -0500 (EST)
www.caeplex.com
Figure 1: Project URL https://www.caeplex.com/project_results.php?id=2cee4116c039fa735cf95f7c2183a568
1.1 Geometry
Geometry fileName hookFormat STEPMD5 cbd6a2f1faf6d36d6b35f10544218fabOriginal size 7.78 MbLength units Millimeters
Topological entititesFaces 12Edges 34Vertices 26Wires 14Solids 1Shells 1Compounds 0Compsolids 0
Center of gravityxcog 0 mmycog 0 mmzcog 0 mm
Bounding boxxmin 0 mmxmax 72 mmymin 0 mmymax 23 mmzmin 0 mmzmax 79 mm
¹CAEplex is a web-based front-end for cloud-based open-source finite element analysis codes.
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1.2 Problem
MaterialName SteelYoung modulus E =210 GPaPoisson ratio ν =0.3Yield strength σyield =400 MPaDensity ρ = 7800 kg/m³
Volumetric forcesType None
BC #1: FixedType Displacement (Dirichlet)Condition Fixed
BC #2: LoadType Load (Neumann)Condition Force
Fx = 0 NFy = 0 N
Fz = −30 000 N
Figure 2: The magenta surface is fixed and the green surface receives a net load of 3 tons in the downward ver cal direc on.
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1.3 Mesh
Unstructured gridCharacteristic length ℓc 3.467 mmNodes 10,506Elements 59,214
Triangles 11,108Tetrahedra 48,106
Back-end detailsBack-end version Gmsh 2.16.02D algorithm Automatic3D algorithm Delaunay
h1(r, s) = 1− r − s
h2(r, s) = r
h3(r, s) = s
(a) Shape functions
Index Weight r s1 1/3 1/6 1/62 1/3 2/3 1/63 1/3 1/6 2/3
(b) Gauss points
(c) General coordinates
x(r, s) =
3∑j=1
hj(r, s) · xj
y(r, s) =3∑
j=1
hj(r, s) · yj
(d) Real ↔ Canonical (e) Canonical coordinates
Figure 4: Mathema cal details of the triangular isoparametric elements
h1(r, s) = 1− r − s− t
h2(r, s) = r
h3(r, s) = s
h4(r, s) = t
(a) Shape functions
Index Weight r s t1 1/4 1/6 1/6 1/62 1/4 2/3 1/6 1/63 1/4 1/6 2/3 1/64 1/4 1/6 1/6 2/3
(b) Gauss points
(c) General coordinates
x(r, s) =4∑
j=1
hj(r, s) · xj
y(r, s) =4∑
j=1
hj(r, s) · yj
(d) Real ↔ Canonical (e) Canonical coordinates
Figure 5: Mathema cal details of the tetrahedral isoparametric elements
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Figure 6: A view of the meshed model. The green square shows the characteris c length of the elements.
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1.4 Solution
Back-end detailsBack-end version Fino v0.5.37-g271e90bFormulation Variational displacement-based linear elastic problemWeighting GalerkinProblem size (unknowns) 31,518Degree of freedom ordering Node-basedPreconditioner gamgSolver cg
Figure 7: Problem s ffness matrix (31,518× 31,518). Blue (red) dots represent posi ve (nega ve) values.
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1.5 Results
DisplacementMaximum value |(u, v, w)|max =0.269 mmLocation x = 70.8 mm
y = 0.835 mmz = −87.5 mm
Von Mises stressesMaterial yield strength σyield =400 MPaMaximum Von Mises stress σmax = 158 MPaLocation x = −28.1 mm
y = −8.08 mmz = −119 mm
Mean value σmean = 31.69 MPaPeak factor fp = 4.99
Maximum load level with respect to material yield
40 % (158/400)
Mean load level with respect to material yield
8 % (32/400)
Figure 8: Von Mises stresses and exaggerated displacements (×100)
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