Determination of Swept Envelope for the Tram

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Clyde Young
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1 Determination of Swept Envelope for the Tram Tomas Załuski, Albert Szałajko, Grzegorz Fira, Augsburg, 8-9 October

2 Content Problem description Tool for determination of swept envelope Main assumptions Preparation of MBS Tram model On track scenario Example of results First stage of swept envelope evaluation Second stage of swept envelope evaluation Third stage of swept envelope evaluation Conclusions and future works 2

Problem description Determination of swept envelope of railway vehicles is decisive while designing vehicle and infrastructure basing on technical specification.

3 Problem description Determination of swept envelope of railway vehicles is decisive while designing vehicle and infrastructure basing on technical specification. Determination of train gauge is less complicated in comparison with tram gauge. Tram gauge changes along the track, inside arcs and transition curves. Example of a zone with variable reference profile for static gauge Source: PN-K-92008:1998 Tram kinematic gauge 3

Problem description Analytic approach for kinematic gauge analysis according to EN15273-2:2013 realized using ECE tool

4 Problem description Analytic approach for kinematic gauge analysis according to EN :2013 realized using ECE tool (dedicated for railway vehicles). For kinematic gauge analysis of tram vehicle according to PN-K-92008:1998, ECE tool is useless. 4

5 Tool for determination of swept envelope: Main assumptions Main assumptions: Possibility to define several cross sections of tram vehicle for checking position on the track. A tool should allow to evaluate position of all defined cross sections for determined step track distance. Possibility to define maximum displacement (in vertical and lateral direction) of critical points on the all defined cross sections. Generation of swept envelope as pictures and ASCII files, and also as 3D geometry for each defined cross section. 5

6 Tool for determination of swept envelope: Preparation of MBS Tram model Defined cross sections of tram carbodies based on CAD geometry. MBS model with Markers on each cross section. 6

Tool for determination of swept envelope: Preparation of MBS Tram model MBS model of tram: Complete analyzed model with trailer, motor bogies and intercar connections (each carbody is supported by

7 Tool for determination of swept envelope: Preparation of MBS Tram model MBS model of tram: Complete analyzed model with trailer, motor bogies and intercar connections (each carbody is supported by one bogie). Motor bogie model include all kinematic connections, flexibility, stiffness and damping characteristics. Additional body (as dummy) connected to the track by joint 07 or 09 with one degree of freedom and located behind of last defined cross section. Defined sensors for measuring of position in three dimensions for each marker located on cross sections relative to the Isys. Appropriate value for integration step-size should be set up. 7

8 Cant [m] Tool for determination of swept envelope: On track scenario 0,15 0,1 0,05 Track radius 20m, cant 115mm, velocity 20 km/h Track radius 25m, cant 130mm, velocity 20 km/h 0-0,05-0,1-0, On track position [m] On track position [m] Cant [m] Curvature [1/m] 0,1 Track radius 50m, cant 0mm, velocity 20 km/h Track radius 100m, cant 90mm, velocity 40 km/h 0,05 0-0,05-0, On track position [m] On track position [m] 8

Example of results: First stage of swept envelope evaluation Export data from MBS simulation (data are exported in time domain): Track centerline position according to Isys (longitudinal,

9 Example of results: First stage of swept envelope evaluation Export data from MBS simulation (data are exported in time domain): Track centerline position according to Isys (longitudinal, lateral, vertical). Position of all Markers according to Isys (longitudinal, lateral, vertical). Initial position of each cross section. Range of track section for swept envelope evaluation. 9

Track centerline Track centerline Track centerline

swept envelope evaluation Track radius 20m, cant

130mm, velocity 20 km/h Track radius 50m, cant 0mm,

10 Track centerline Track centerline Track centerline Track centerline Example of results: First stage of swept envelope evaluation Track radius 20m, cant 115mm, velocity 20 km/h Track radius 25m, cant 130mm, velocity 20 km/h Track radius 50m, cant 0mm, velocity 20 km/h Track radius 100m, cant 90mm, velocity 40 km/h 10

11 Example of results: Second stage of swept envelope evaluation Data required for second stage of evaluation: Results from first stage. Information about track layout (position of transition curve, cant value). 11

12 Position from top of rail [m] Example of results: Second stage of swept envelope evaluation 3,5 Track radius 20m, velocity 20 km/h beginning of curve Cant 115 [mm] Cant 20 [mm] 3 2,5 2 1,5 1 0, ,5-1 -0,5 0 0,5 1 1,5 2 Position from track centerline [m] 12

13 Position from top of rail [m] Example of results: Second stage of swept envelope evaluation 3,5 Track radius 25m, velocity 20 km/h end of curve Cant 130 [mm] Cant 20 [mm] 3 2,5 2 1,5 1 0, ,5-1 -0,5 0 0,5 1 1,5 2 Position from track centerline [m] 13

14 Position from top of rail [m] Example of results: Second stage of swept envelope evaluation 3,5 Track radius 100m, velocity 40 km/h center of curve Cant 90 [mm] Cant 15 [mm] 3 2,5 2 1,5 1 0, ,5-1 -0,5 0 0,5 1 1,5 2 Position from track centerline [m] 14

15 Example of results: Third stage of swept envelope evaluation Automatic creation of the data for 3D modeling Semi-automatic creation of the 3D model of the envelope 15

16 Conclusions and future work Conclusions: In-house developed Matlab/Octave routine allow to predict shape of swept envelope. Method can be implemented into SIMPACK since it requires sensor measurements with respect to specified coordinate system. Data processing allows to verify which points on the vehicle contour have the maximum displacements and level of displacements. Dynamic envelope for choosing position on track can be drawn. Future work: Adding to Matlab/Octave routine statistical analysis. Developing of generating 3D envelope model. Adding to postprocessing special running conditions (sidewind effects, secondary suspension failure ect.). 16

17 Thank You for Your Attention

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