This document describes an ACT extension for ANSYS Mechanical that allows structural mesh morphing using Radial Basis Functions (RBF). The extension is developed by RBF Morph and integrated into ANSYS Mechanical with the same look and feel. It uses a hierarchical multi-step RBF approach to control mesh morphing. Various geometric modifications like translation, scaling, rotation, and surface/curve targeting can be applied to morph meshes parametrically. The extension leverages high performance RBF solvers for fast morphing of large meshes.
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Structural Optimization Using the New RBF Morph ANSYS ACT Extension
1. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
Structural Optimization Using
the New RBF Morph ANSYS ACT
Extension
Prof. Marco Evangelos Biancolini
University of Rome Tor Vergata
act@rbf-morph.com
biancolini@ing.uniroma2.it
2. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
• Company Introduction
• RBF Morph Software
Line
• ACT Extension
• Industrial Applications
Outline
3. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
RBF Morph is a pioneer and world-leading provider of numerical morphing
techniques and solutions conceived to efficiently handle shape
optimization studies concerning most challenging industrial applications.
We are an independent software-house and vendor. Our main product is
RBF Morph™, that is a unique morpher that combines a very accurate
control of the geometrical parameters with an extremely fast mesh
smoothing properly designed to be integrated in advanced computational
optimization procedures.
The RBF Morph tool is currently
available in the market as an add-on of
the CFD commercial code ANSYS®
Fluent®, as a stand alone product and
as an ANSYS ACT Extension.
Company Introduction
4. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
The RBF Morph tool had its inception in
2008 as on-demand solution for a Formula
1 top team. The need was a novel
technology able to change the shape of
large CFD numerical models as fast as
possible. The final result had been so good
that the technology was packaged in a
commercial software product and launched
onto the market.
At present, Dr. Marco Evangelos Biancolini is the unique owner of the
RBF Morph technology and, as Director, avails himself of the
collaboration of several experts for the deliver of products and services.
Company Introduction
5. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
Morphing-based numerical tools and services
RBF Morph Milestones
2008: tool implementation for Formula 1 top team consultancy
activity
2009: founded in Italy
2009: Software Partner of ANSYS
2009: at EASC RBF Morph won the Most Advanced Approach
Award Most Innovative Approach using Simulation Methods
2011: strategic partnership with Tor Vergata University
(Rome)
2012: OEM partner of ANSYS
2013: beneficiary of an FP7 AAT Project RBF4AERO
2013: at ASWC RBF Morph awarded for the Best use of HPC
2013: Partner of Enginsoft
2014: beneficiary of FP7 Project RIBES
2014: beneficiary of FP7 Fortissimo
Company Introduction
8. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
Mesh Morphing with RBF
• A system of Radial Basis Functions is used to fit a
solution for the mesh movement/Morphing, from a list of
source points and their displacements.
• The RBF problem definition does not depend on the mesh
• Radial Basis Function interpolation is used to derive the
displacement in any location in the space, each
component of the displacement is interpolated:
• RBF are recognized as on of the best mathematical tool
for mesh morphing. The main issue is about performances
required for the solution of large dataset.
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9. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
One pt at center and border (80 pts)
14. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
• HPC RBF general purposes library (state
of the art algorithms, parallel, GPU). This is
the numerical kernel of our software.
Millions of RBF centers can be fitted in a
short time.
• Awarded mesh morphing software
available as an add-on for ANSYS Fluent
CFD solver
• Stand alone morphing software +
smoothing commands for different mesh
formats
• ANSYS Mechanical ACT module
(Released in May 2015!).
RBF Morph software line
15. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
• Add on fully integrated within Fluent (GUI, TUI &
solving stage), Workbench and Adjoint Solver
• Mesh-independent RBF fit used for surface
mesh morphing and volume mesh smoothing
• Parallel calculation allows to morph large size
models (many millions of cells) in a short time
• Management of every kind of mesh element type
(tetrahedral, hexahedral, polyhedral, etc.)
• Support of the CAD re-design of the morphed
surfaces
• Multi fit makes the Fluent case truly parametric
(only 1 mesh is stored)
• Precision: exact nodal movement and exact
feature preservation (RBF are better than FFD)
Fluent add-on
16. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
• RBF solutions are fully compatible and exchangeable between add-on and
standalone versions
• Support for STL and CGNS file formats. Selected morphed surfaces can be
exported in STL format and back to CAD is possible via STEP files
• Add-on-like interface
• Solver independent process
currently supports many
mesh formats
• Functions scriptable via tcl
• Global supported bi-harmonic
functions and C0, C2, C4
compact supported functions
available
RBF Morph Stand Alone
17. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
• Deeply integrated in ANSYS Mechanical:
same look & feel, same interaction logic
• Nested in the usual Mechanical tree as an
added object, shares its scoping tools for
geometrical and mesh elements selections
• Written in python and xml, uses external
RBF Morph core libraries
• Child hierarchical logic for complex
morphings (two steps, three steps, …, n
steps setups)
ACT module for Mechanical
19. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
Why FEM mesh morphing?
• It allows to have parametric shape mesh that preserves the
original topology. Remeshing noise is avoided.
• It allows to update the shape of a validated FEM model
without rebuilding a new mesh.
• New shapes can be investigated even if the underlying
CAD geometry is missing.
• The mesh can be updated to measured shapes (i.e.
accounting for manufacturing tolerances)
• It’s usually faster than remeshing (short time required to
morph, quick set-up of shape variations)
20. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
Why RBF morphing?
• RBF Morph is a best in class product crafted to deal with
challenging CFD application (huge meshes)
• 7 years of experience on industrial applications of Radial
Basis Functions (RBF)
• RBF are recognized as one of the best mesh morphing
tool available in the industrial and scientific community
• A new vision (we have started the new project from
scratch) to put in the hands of ANSYS Mechanical Users
the fastest and easiest mesh morphing tool
• Satisfy the needs of many users asking for such a kind of
technology available in ANSYS Mechanical
21. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
Video number 1
https://youtu.be/KxZzq0F3mQ8
22. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
• The evaluation of RBF at a point has a cost of order n.
• The fit has a cost of order n3 for a direct fit (full populated
matrix); this limit to ~10.000 the number of source points that
can be used in a practical problem.
• Using an iterative solver (with a good pre-conditioner) the fit
has a cost of order n2; the number of points can be increased
up to ~70.000.
• With parallelization and fast RBF methods (OpenMP GPU)
we are able to scale up to very large problems
Accelerating the solver
23. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
Size: 160.000 nodes
CPU: 497 s
CPU OMP: 53 s
K2000: 55 s
K40: 34 s
Registered Time
Conrod testcase
24. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
• Fully embedded in ANSYS Mechanical with same “look &
feel”
• Integration in the tree and founded on the working
principles of ANSYS Workbench
• Based on the ACT (Application Customization Toolkit)
extension concept
• Geometrical and mesh scoping to set-up the mesh
morphing problem
• Parametric
• RBF fast solver (including parallel and GPU support)
ACT extension specs
25. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
• Easy to use, flexible and expressive.
• Powered by multi-step RBF technology (which
effectiveness has been extensively proven in RBF Morph)
• RBF fitting and mesh morphing happen as a unique
HPC process at each shape update. This allows the
maximum flexibility with respect to parameterization
• RBF component set-up data stored and persistent with the
ANSYS Mechanical project.
• Advanced interaction with DM to enable CAD
resynchronization after morphing
ACT extension specs
26. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
• Hierarchical multi-step RBF approach
• Each morphing target can be controlled using the
superposition of a local modifier and an RBF field
generated by its sources (if any)
• Source points are extracted using the motion of all the
children
• If the child is a leaf its movement is known otherwise it
becomes a target and has to be solved descending the
tree
ACT extension specs
27. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
Available Modifications
Translation
28. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
Available Modifications
Translation
33. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
Available Modifications
Surface offset
34. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
Available Modifications
Surface offset
35. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
Available Modifications
Curve offset
36. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
Available Modifications
Curve offset
37. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
Available Modifications
Surface targeting
38. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
Available Modifications
Surface targeting
39. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
Available Modifications
Surface targeting
40. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
Available Modifications
Curve targeting
41. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
Available Modifications
Curve targeting
42. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
• Simple example of working logic behind the
RBF Morph ACT extension
RBF Morph ACT extension
for Mechanical
43. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
• Simple example of working logic behind the
RBF Morph ACT extension
RBF Morph ACT extension
for Mechanical
44. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
• Simple example of working logic behind the
RBF Morph ACT extension
RBF Morph ACT extension
for Mechanical
45. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
• Simple example of working logic behind the
RBF Morph ACT extension
RBF Morph ACT extension
for Mechanical
46. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
• Simple example of working logic behind the
RBF Morph ACT extension
RBF Morph ACT extension
for Mechanical
47. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
• Simple example of working logic behind the
RBF Morph ACT extension
RBF Morph ACT extension
for Mechanical
48. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
• Morphed mesh!
RBF Morph ACT extension
for Mechanical
49. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
• Inspection of the morphing field using post
processing tools of Mechanical.
RBF Morph ACT extension
for Mechanical
50. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
• Automatic sculpting using field data available in
the FEA solution.
RBF Morph ACT extension
for Mechanical
51. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
• CAD2CAD allows to use a new CAD as a morphing target for a whole part. Now
manually it will be automated.
RBF Morph ACT extension
for Mechanical
52. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
• CAD2CAD allows to use a new CAD as a morphing target for a whole part. Now
manually it will be automated.
RBF Morph ACT extension
for Mechanical
54. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
RBF Morph ACT extension
for Mechanical: conrod
• Practical problem example: a connecting rod
optimization.
• Geometry in Solidworks. Meshing, parameterization
(RBF Morph) and structural analysis in Workbench.
161493 nodes mesh.
• The shape of the two lightening holes is varied,
translating and resizing them
55. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
RBF Morph ACT extension
for Mechanical: conrod
• Offset+rigid translation for the holes
• Null movement for other surfaces
56. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
RBF Morph ACT extension
for Mechanical: conrod
• 2395 N traction load acting on big head
• Titanium Ti-6Al-4V (Grade 5)
• Cumulated damage map over the testing
spectrum
57. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
RBF Morph ACT extension
for Mechanical: conrod
Optimized 334.4g (-6.7%)
Original 358.7g
58. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
BGA Solder Joint study
The objective here is to show how RBF Morph can be used in BGA Solder Joint
Reliability simulations to show how geometric parameters can be morphed to
itemize their effect on stress calculations
DIE
DIE
UNDERFILL
MOLD
COMPOUND
SUBSTRATE
SOLDER
BALLS
PCB
61. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
BGA Solder Joint study
Baseline Optimized (22%
stress reduction)
62. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
BGA Solder Joint study
Baseline Optimized (22%
stress reduction)
63. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
Wheel Rim Optimization
Load Scenario
representing
TUV test
simulated using
ANSYS
Mechanical
64. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
Wheel Rim Optimization
Baseline
7.58kg
65. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
Wheel Rim Optimization
Optimized
6.98kg (-8%)
66. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
• The novel mesh morphing tool implemented in ANSYS Mechanical
using ACT extension technology has been introduced
• Radial Basis Functions are used for multistep set-up
• The new software tailored for FEM benefits of past experience on
RBF Morph ANSYS Fluent add-on (mainly CFD)
• Nevertheless we have restarted all the developments from scratch
i.e. reusing knowledge and ideas (no cross compatibility between
tools)
• Applications relevant for the automotive industry are demonstrated.
• The software has been released in May 2015
• How can we do better? Please do not hesitate to tell us your
needs!
Conclusions
67. www.rbf-morph.com
RBF Morph, an ANSYS Inc. Partner
ASWC 2015
June 2015 - Detroit, MI, USA
Many thanks for your kind attention!
Prof. Marco Evangelos Biancolini
E-mail: act@rbf-morph.com
Web: www.rbf-morph.com
Goo.gl/1svYd
Twitter.com/RBFMorph
linkedin.com/company/rbf-morph
youtube.com/user/RbfMorph