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138 Investigation of form effect on ballast mechanical behavior based on discrete element modeling

Investigation of form effect on ballast mechanical behavior based on discrete element modeling 139 Appendix Fig. 10. Get the three orthogonal dimensions a, b and c of the form

Vertex list on polyhedron

Maximum distance a The two vertexes defining maximum

distance a Find maximum distance a (distance

betw een v ertaxes on the polyhedron) Vertex list on

polyhedron

Maximum distance a The two vertexes defining maximum

distance a

Vertex list on plane Get normal direction of proj ecting plane

and proj ect all v ertexes on the plane

Vertex list on plane

Maximum distance c Find maximum distance c (distance

betw een v ertexes on the proj ecting line)

Maximum distance c Maximum distance b

The two vertexes defining maximum

distance b Find maximum distance b (distance

betw een v ertexes on the proj ecting plane)

Maximum distance b The two vertexes defining maximum

distance b

Vertex list on line Get normal direction of proj ecting line and

proj ect all v ertexes on the line

Vertex list on line See Appendix Fig. 11

140 Investigation of form effect on ballast mechanical behavior based on discrete element modeling Appendix Fig. 11. Find maximum distance between two vertexes in vertex list

Select one combination randomly

Calculate the distance Vertex list

List all combinations tw o v ertexes in the v ertex list Vertex list

Maximum value

Two vertexes define the maximum value: Integer Output the maximum

v alue

Maximum value

Two vertexes define the maximum value: Integer Renew the maximum

v alue Is the distance bigger than the current maximum value?

Are all combinations checked?

[Yes]

[No]

[No]

[Yes]

Investigation of form effect on ballast mechanical behavior based on discrete element modeling 141

Appendix V: Explanation of Unified Modeling Language (UML) sym-bols used in Enterprise Architecture (EA)

Start of an activity diagram

End of an activity diagram

End of a flow

Preformed activity / sub-activity in the dissertation

Input / output / return parameter of an activity

Join

Flow from one activity to the other Realization

Component “This dissertation” and “Fu-ture works”

Things done in this dissertation or could be done in the future

pkg Future w orks

Activity initial act The complet...

Activity final act Get the thr...

Flow final

act Generate the form

Activ ity

act Generate the form

Sub-activ ity

act The complete w orkflow ...

Ballast geometrical specifications from railway standards

act The complete w orkflow of t...

15 form databases with different form

distributions act The complete w orkflo...

Optimized ballast aggregate act The complete w orkflow of the ...

pkg Future w orks

Class1 Class2

cmp Future w orks

Packaging Component

cmp Future w orks

Component

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