cosmol slides
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Various analyses of an Elbow Bracket using the Structural
Mechanics Module
General information on structural analysis within the COMSOL
environment
Structural Analysis Introductory Tutorial
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Structural Analysis in the COMSOL
Environment
Analysis types available in COMSOL Multiphysics: ± Static
± Transient
± Frequency-response
± Eigenfrequency (modal analysis)
± Damped eigenfrequency
± Elastoplastic
± Thermal stress
± Viscoelastic
± Creep
± Hyperelastic
± Poroelastic
± Contact
± and more including Multiphysics analysis: Flow, Electromagnetics, Heat, Piezo
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CAD Interoperability
Bidirectional Associative Parametric Interfaces with SolidWorks®
and Autodesk® Inventor®
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CAD Interoperability
Import of CAD Files* from: ± SolidWorks®
± Autodesk® Inventor®
± STEP
± IGES
± X_T (Parasolid®)
± SAT® (ACIS®)
± Pro/E®
± CATIA®
± Inventor®
± NX (Unigraphics)
± Solid Edge®
± VDA-FS
* Trademarks of respective holders
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CAD Repair and Defeaturing Tools
Parasolid-based CAD Geometry Repair and Defeaturing tools ease
meshing of large CAD parts and assemblies
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CAD Repair Tools ± for easier meshing
CAD repair
Repair CAD model and prepare for FEA analysis: remove small
surfaces, fill in gaps, etc.
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CAD Repair Tools ± for easier meshing
Remove small faces
Before
After
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CAD Defeaturing ± for easier meshing
Remove holes
Before
After
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CAD Defeaturing ± for easier meshing
Remove fillets (rounded corners)
Before
After
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Material Library
Data for more than 2500 materials.
A given material entry store data for up to 24 different properties by
default ± can be extended upon by user.
Focus on elastic and thermal properties. Each of these materialproperties is described as a function of some variable, typically
temperature T.
In all, the Material Library contains a total of almost 20,000
property functions (material curves).
Search Feature: look for materials by name, UNS number, or DINnumber.
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Material Library
More than 2500
materials
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Material Library
Search function
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Material Library Example: Elasticity (E) vs.
Temperature (T) of Ti-Ni shape memory alloy
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Material Library
Detailed references
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Create your Own Material and Material
Functions
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Some Structural Analysis Examples(Available as Step-by-step Tutorials in the Structural Mechanics Module Documentation)
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Modal Analysis of a Crank Shaft
(here with mesh imported from NASTRAN)
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Contact Analysis of Cell-Phone Screen
Assembly
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Large Deformation Contact Analysis of Snap-
Hook Fastener
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Viscoelastic Analysis Including Transient
Hysteresis
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Fatigue Analysis of a Wheel Rim
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Hyperelastic Analysis of a Boot Seal
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Viscoplastic Creep of Solder Joints
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Elastoacoustic Waves ± Nondestructive Testing
with Structural Nonlinearities (Murnaghan
Material)
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Piezoelectric Examples
Radially polarized disc Shear bender beam Ultrasonic Transducer
Piezo-Dielectric
Heating
Distributed Mode
Actuator
Piezo-Acoustic
Transducer
Piezo-Actuators
SAW Sensor
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Multiphysics Analysis: Fluid-Structure-Heat
Interaction in Aluminum Extrusion
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Elbow Bracket Tutorial
Analysis types demonstrated by this tutorial:
± Static
± Transient
± Frequency-response ± Eigenfrequency (modal analysis)
± Damped eigenfrequency
± Elastoplastic
± Thermal stress
Full step-by-step PDF available in the product manual
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Static Analysis: Setup
Finds the deflection at static equilibrium
Most straightforward analysis type
´Glued´ at one end: fixed displacement
A distributed load at an angle at the other end: ± Fx=3.0 MPa
± Fy=0.0 MPa
± Fz=3.0 MPa
Fixed
Distributed load
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Static Analysis: Setup
Default Mesh: ± 66765 degrees of freedom (nodes)
± 13339 quadratic elements
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Static Analysis: Results
von Mises effective stress maximum at 190 MPa
Compare with yield stress
350 MPa: 54 % utilization
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Modal/Eigenfrequency Analysis: Setup
Default settings finds the 6lowest vibrational modes andfrequencies
Deformations for modalanalysis are normalized andmesh dependent ± Deformation values not important
for modal analysis
Important quantities:
± Frequency ± Overall mode shape
Fixed
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Modal/Eigenfrequency Analysis: Results
Mode shape at 416 Hz
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Modal/Eigenfrequency Analysis: Results
416 Hz 570 Hz 1926 Hz
2454 Hz 3110 Hz 3931 Hz
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Transient Analysis: Setup
Transient sinusoidal load
A distributed load in the x-
direction
Rayleigh dampingparameters: ± alpha = 300
± beta = 3.2e-5
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Transient Analysis: Results
x-displacement
at this point
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Frequency-response Analysis: Setup
Response to sinusoidal loads of varying frequencies
´Glued´ at one end: fixed displacement
A sinusoidal distributed load at an angle at the other end:
± Fx=3.0cos(2f·t) MPa ± Fy=0.0 MPa
± Fz=3.0*cos(2 f·t) MPa
Sweep from 350 Hz to 650 Hz
Fixed
Distributed load
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Frequency-response Analysis: Results
Response from 350 Hz to 650
Hz at a point on the loaded
surface
Resonance peaks asindicated by earlier mode
analysis at 416 Hz and 570
Hz
x-displacement amplitude
z-displacement amplitude
y-displacement amplitude
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Parametric Analysis: Setup
Perform a parametric sweep over the angle of the distributed
load
± Fx=3·106 · cos( · /180) N/m2
± Fz=3·106
· sin( · /180) N/m2
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Parametric Analysis: Results
-45º
-45º
-20º
-0º
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Transient Thermal-Stress Analysis: Setup
Combined Thermal and Structural Analysis
Quasi-static approach: transient thermal analysis combined with
static structural analysis
Ends held at fixed temperature Applied mechanical load and temperature load
T = 20º C
T = 500º C Mechanical load
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Transient Thermal-Stress Analysis: Setup
Heat Transfer
Thermal load from
heat transfer application
Solid, Stress-Strain
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Transient Thermal-Stress Analysis: Results
Temperature and deformation
at t=1000 s
von Mises stress at t=1000 s
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Transient Thermal-Stress Analysis: Results
Total displacement
at this point
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Elasto-Plastic Analysis: Setup
3D elbow bracket
Elasto-plastic constitutive model
Isotropic hardening
Hardening function: experimental stress-strain curve
Fixed
Distributed load
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Elasto-Plastic Analysis: Setup
Function interpolated from experimental stress strain data
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Elasto-Plastic Analysis: Setup
Apply the elasto-plastic
material data
Apply boundary conditions
Solve the problem by stepping
up the distributed load with
the parametric solver
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Elasto-Plastic Analysis: Results
Plastic region at the final load step