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www.beta-cae.com www.beta-cae.com Beam Modeling New Developments Kostas Skolarikis, Vasileios Evangelou May 2019

Beam Modeling New Developments - BETA CAE Systemsย ยท RSECTBT - A new R-type element RSECTBT RBE2 (Rigid Body Modes) m i ๐‘ข ๐‘–=๐‘ข ๐‘š+๐‘Ž 1๐œƒ ๐‘š+๐‘Ž 2๐œƒ ๐‘š+๐‘Ž 3๐‘ 

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Page 1: Beam Modeling New Developments - BETA CAE Systemsย ยท RSECTBT - A new R-type element RSECTBT RBE2 (Rigid Body Modes) m i ๐‘ข ๐‘–=๐‘ข ๐‘š+๐‘Ž 1๐œƒ ๐‘š+๐‘Ž 2๐œƒ ๐‘š+๐‘Ž 3๐‘ 

www.beta-cae.comwww.beta-cae.com

Beam ModelingNew Developments

Kostas Skolarikis, Vasileios Evangelou

May 2019

Page 2: Beam Modeling New Developments - BETA CAE Systemsย ยท RSECTBT - A new R-type element RSECTBT RBE2 (Rigid Body Modes) m i ๐‘ข ๐‘–=๐‘ข ๐‘š+๐‘Ž 1๐œƒ ๐‘š+๐‘Ž 2๐œƒ ๐‘š+๐‘Ž 3๐‘ 

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Beam Calculations in History

Page 3: Beam Modeling New Developments - BETA CAE Systemsย ยท RSECTBT - A new R-type element RSECTBT RBE2 (Rigid Body Modes) m i ๐‘ข ๐‘–=๐‘ข ๐‘š+๐‘Ž 1๐œƒ ๐‘š+๐‘Ž 2๐œƒ ๐‘š+๐‘Ž 3๐‘ 

www.beta-cae.com

Cross Section Tool

Integration of BETA in ANSA

Page 4: Beam Modeling New Developments - BETA CAE Systemsย ยท RSECTBT - A new R-type element RSECTBT RBE2 (Rigid Body Modes) m i ๐‘ข ๐‘–=๐‘ข ๐‘š+๐‘Ž 1๐œƒ ๐‘š+๐‘Ž 2๐œƒ ๐‘š+๐‘Ž 3๐‘ 

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Cross Section Tool

Multicut

Page 5: Beam Modeling New Developments - BETA CAE Systemsย ยท RSECTBT - A new R-type element RSECTBT RBE2 (Rigid Body Modes) m i ๐‘ข ๐‘–=๐‘ข ๐‘š+๐‘Ž 1๐œƒ ๐‘š+๐‘Ž 2๐œƒ ๐‘š+๐‘Ž 3๐‘ 

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Cross Section Tool

Beam optimization plugin

Page 6: Beam Modeling New Developments - BETA CAE Systemsย ยท RSECTBT - A new R-type element RSECTBT RBE2 (Rigid Body Modes) m i ๐‘ข ๐‘–=๐‘ข ๐‘š+๐‘Ž 1๐œƒ ๐‘š+๐‘Ž 2๐œƒ ๐‘š+๐‘Ž 3๐‘ 

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Cross Section Tool as a library tool

CST

BETA

ANSA

ANSACST

ANSA

EPILYSIS

META

Page 7: Beam Modeling New Developments - BETA CAE Systemsย ยท RSECTBT - A new R-type element RSECTBT RBE2 (Rigid Body Modes) m i ๐‘ข ๐‘–=๐‘ข ๐‘š+๐‘Ž 1๐œƒ ๐‘š+๐‘Ž 2๐œƒ ๐‘š+๐‘Ž 3๐‘ 

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Beams in Epilysis โ€“ New developements

โ€ข Tapered Beams

โ€ข Torsional Warping

โ€ข PBEAML , PBRSECT

Optimization

Page 8: Beam Modeling New Developments - BETA CAE Systemsย ยท RSECTBT - A new R-type element RSECTBT RBE2 (Rigid Body Modes) m i ๐‘ข ๐‘–=๐‘ข ๐‘š+๐‘Ž 1๐œƒ ๐‘š+๐‘Ž 2๐œƒ ๐‘š+๐‘Ž 3๐‘ 

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Beams in Meta โ€“ New developements

โ€ข Rotation Animation

โ€ข Stress Recovery

Page 9: Beam Modeling New Developments - BETA CAE Systemsย ยท RSECTBT - A new R-type element RSECTBT RBE2 (Rigid Body Modes) m i ๐‘ข ๐‘–=๐‘ข ๐‘š+๐‘Ž 1๐œƒ ๐‘š+๐‘Ž 2๐œƒ ๐‘š+๐‘Ž 3๐‘ 

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Major Shortcomings of current Algorithms

โ€ข Multimaterial

sections

โ€ข Composite beams

โ€ข Spot welded beams

โ€ข Missing results

Page 10: Beam Modeling New Developments - BETA CAE Systemsย ยท RSECTBT - A new R-type element RSECTBT RBE2 (Rigid Body Modes) m i ๐‘ข ๐‘–=๐‘ข ๐‘š+๐‘Ž 1๐œƒ ๐‘š+๐‘Ž 2๐œƒ ๐‘š+๐‘Ž 3๐‘ 

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New FE algorithm

Takes into account the cutโ€™s underlying

mesh

Page 11: Beam Modeling New Developments - BETA CAE Systemsย ยท RSECTBT - A new R-type element RSECTBT RBE2 (Rigid Body Modes) m i ๐‘ข ๐‘–=๐‘ข ๐‘š+๐‘Ž 1๐œƒ ๐‘š+๐‘Ž 2๐œƒ ๐‘š+๐‘Ž 3๐‘ 

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New FE algorithm

Influence of mesh size on calculated cross section properties

0

0.02

0.04

0.06

0.08

0.1

0.12

0 50 100 150 200 250

Pe

rce

nt

de

viat

ion

fro

m t

hin

se

ctio

n t

he

ory

Number of Nodes

It

Shear Center

Page 12: Beam Modeling New Developments - BETA CAE Systemsย ยท RSECTBT - A new R-type element RSECTBT RBE2 (Rigid Body Modes) m i ๐‘ข ๐‘–=๐‘ข ๐‘š+๐‘Ž 1๐œƒ ๐‘š+๐‘Ž 2๐œƒ ๐‘š+๐‘Ž 3๐‘ 

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Beamโ€™s warping dof

Page 13: Beam Modeling New Developments - BETA CAE Systemsย ยท RSECTBT - A new R-type element RSECTBT RBE2 (Rigid Body Modes) m i ๐‘ข ๐‘–=๐‘ข ๐‘š+๐‘Ž 1๐œƒ ๐‘š+๐‘Ž 2๐œƒ ๐‘š+๐‘Ž 3๐‘ 

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Cross section warping modes

๐‘ ๐‘€๐‘ฆ ๐‘€๐‘ง๐‘€๐‘ฅ ๐‘„๐‘ฆ ๐‘„๐‘ง

๐’š

๐ณ

๐ฑ

In-plane warping modes Out-of-plane warping modes

Page 14: Beam Modeling New Developments - BETA CAE Systemsย ยท RSECTBT - A new R-type element RSECTBT RBE2 (Rigid Body Modes) m i ๐‘ข ๐‘–=๐‘ข ๐‘š+๐‘Ž 1๐œƒ ๐‘š+๐‘Ž 2๐œƒ ๐‘š+๐‘Ž 3๐‘ 

www.beta-cae.com

RSECTBT - A new R-type element

RSECTBTRBE2

(Rigid Body Modes)

m

i

๐‘ข๐‘ฅ๐‘– = ๐‘ข๐‘ฅ

๐‘š + ๐‘Ž1๐œƒ๐‘ฆ๐‘š + ๐‘Ž2๐œƒ๐‘ง

๐‘š + ๐‘Ž3๐‘ ๐‘ค๐‘š

A new EPILYSIS element for beam to shell/solid connection

Rigid body motion Torsional warping

Page 15: Beam Modeling New Developments - BETA CAE Systemsย ยท RSECTBT - A new R-type element RSECTBT RBE2 (Rigid Body Modes) m i ๐‘ข ๐‘–=๐‘ข ๐‘š+๐‘Ž 1๐œƒ ๐‘š+๐‘Ž 2๐œƒ ๐‘š+๐‘Ž 3๐‘ 

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RSECTBT

Connecting nodes are always placed on cross sectionโ€™s plane

Page 16: Beam Modeling New Developments - BETA CAE Systemsย ยท RSECTBT - A new R-type element RSECTBT RBE2 (Rigid Body Modes) m i ๐‘ข ๐‘–=๐‘ข ๐‘š+๐‘Ž 1๐œƒ ๐‘š+๐‘Ž 2๐œƒ ๐‘š+๐‘Ž 3๐‘ 

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RSECTBT - Verification

RBE3

RBE2

RSECTBT

+240%

-48%

-2%

+230%(+240%)

+230%(-48%)

-3%(-2%)

Testing RSECTBT against other R-type elements

Page 17: Beam Modeling New Developments - BETA CAE Systemsย ยท RSECTBT - A new R-type element RSECTBT RBE2 (Rigid Body Modes) m i ๐‘ข ๐‘–=๐‘ข ๐‘š+๐‘Ž 1๐œƒ ๐‘š+๐‘Ž 2๐œƒ ๐‘š+๐‘Ž 3๐‘ 

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0

0.5

1

1.5

2

2.5

3

3.5

1

SHELLS

RBE2

RBE3

RSECTBT

0

10

20

30

40

50

60

1 2 3 4 5 6 7 8 9

Hz

Elastic mode

Normal modes

SHELLS

RBE2

RBE3

RSECTBT

RSECTBT - Verification

Page 18: Beam Modeling New Developments - BETA CAE Systemsย ยท RSECTBT - A new R-type element RSECTBT RBE2 (Rigid Body Modes) m i ๐‘ข ๐‘–=๐‘ข ๐‘š+๐‘Ž 1๐œƒ ๐‘š+๐‘Ž 2๐œƒ ๐‘š+๐‘Ž 3๐‘ 

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Beyond 7th dof

Cross section warping modes of non-uniform beams

Dynamic warping modes

Torsional warping mode

Page 19: Beam Modeling New Developments - BETA CAE Systemsย ยท RSECTBT - A new R-type element RSECTBT RBE2 (Rigid Body Modes) m i ๐‘ข ๐‘–=๐‘ข ๐‘š+๐‘Ž 1๐œƒ ๐‘š+๐‘Ž 2๐œƒ ๐‘š+๐‘Ž 3๐‘ 

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Superelements

Integrated solutions in ANSA and

META

โžข Dynamic Reduction of Subsystems

โžข Spot Welds representation

Latest developements

โžข Full support in Epilysis

โžข Script support

Page 20: Beam Modeling New Developments - BETA CAE Systemsย ยท RSECTBT - A new R-type element RSECTBT RBE2 (Rigid Body Modes) m i ๐‘ข ๐‘–=๐‘ข ๐‘š+๐‘Ž 1๐œƒ ๐‘š+๐‘Ž 2๐œƒ ๐‘š+๐‘Ž 3๐‘ 

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Superelements in beam modeling

SE model FE model Beam model

Page 21: Beam Modeling New Developments - BETA CAE Systemsย ยท RSECTBT - A new R-type element RSECTBT RBE2 (Rigid Body Modes) m i ๐‘ข ๐‘–=๐‘ข ๐‘š+๐‘Ž 1๐œƒ ๐‘š+๐‘Ž 2๐œƒ ๐‘š+๐‘Ž 3๐‘ 

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What is the future of beams in CAE ?

Page 22: Beam Modeling New Developments - BETA CAE Systemsย ยท RSECTBT - A new R-type element RSECTBT RBE2 (Rigid Body Modes) m i ๐‘ข ๐‘–=๐‘ข ๐‘š+๐‘Ž 1๐œƒ ๐‘š+๐‘Ž 2๐œƒ ๐‘š+๐‘Ž 3๐‘ 

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Thank you