Modeling and Verification of Generic Flexible Bogie Frames with Beam Elements

Transcription

1 DLR.de Chart 1 Modeling and Verification of Generic Flexible Bogie Frames with Beam Elements Christoph Wesseler German Aerospace Center (DLR) Institute of System Dynamics and Control Department Vehicle System Dynamics Christoph.Wesseler@dlr.de Münchener Str Weßling Germany

2 DLR.de Chart 2 Contents Introduction Simulation Model Measurement Data Calculation Method Model Tuning Conclusion

3 DLR.de Chart 3 Introduction Physical limits of railways are more and more exhausted Higher running speeds, increasing axle loads and new drive concepts Track with irregularities (not ideal) > High loads for rail vehicles/railway tracks A lot of informations from measurement data Little informations from simulation models > Integration of measurement and simulation > Load forecast for bogie equipment

4 DLR.de Chart 4 Contents Introduction Simulation Model Measurement Data Calculation Method Model Tuning Conclusion

5 DLR.de Chart 5 SIMPACK Simulation Model Fully parameterized simulation model Main part is the generic flexible bogie frame (blue) Rigid body parts: Wheelset guides Equivalent masses for brakes Traverse/equivalent mass for car body Primary suspension Secondary suspension with Anti-roll device Yaw dampers Lemniscate linkage General bogie structure System boundary: wheelsets Degrees of Freedom: 62

6 DLR.de Chart 6 Generic Flexible Bogie Frame Modeled with the SIMPACK 3 rd party product SIMBEAM The bogie frame consists of one flexible body Complex beam structure Consists of several Timoshenko beam elements (linear) Different cross sections for the beam elements Fully parameterized sub-model Generic simulation model

7 DLR.de Chart 7 Contents Introduction Simulation Model Measurement Data Calculation Method Model Tuning Conclusion

8 DLR.de Chart 8 Measurement Data Measurement data from a high speed train Measurements at one trailer bogie Accelerations at axle box and brake caliper support Without traction (nearly constant running velocity) Averaging over several test runs points of measurement

9 DLR.de Chart 9 Contents Introduction Simulation Model Measurement Data Calculation Method Results Conclusion

10 DLR.de Chart 10 Calculation Method Accelerations at the axle box (measurement) Input: Accelerations in time domain (axle box) Generic SIMPACK simulation model In this case: parameter set of a high speed train (only general information) Output: Power Spectral Density (PSD) (brake caliper support) EMBS simulation model Accelerations at the brake caliper support (simulation)

11 DLR.de Chart 11 Frequency Response Function (FRF) Approach Linear Time Independent systems (LTI system) Multiple Input Multiple Output (MIMO) Input: Accelerations at the axle boxes Output: Vibrations at the brake caliper support U = f U 1 ; :::; U 8 g; Y = f Y 1 ; Y 2 g j! X (j! ) = A (j! ) X (j! ) + B (j! ) U (j! ) Y (j! ) = C (j! ) X (j! ) + D (j! ) U (j! ) H (j! ) = Y (j! ) U (j! ) = C (j! ) [j! I A (j! )] 1 B (j! ) + D (j! )

12 DLR.de Chart 12 FRF Calculation with SIMPACK Solution in frequency domain Calculation with SIMPACK and Matlab Model information EMBS-model setup State-space representation u; y; A ; B ; C ; D FRF-matrix calculation H = C [I A ] 1 B + D

13 DLR.de Chart 13 Process of System Response Calculation All calculations in frequency domain Model information EMBS-model setup State-space representation u; y; A ; B ; C ; D FRF-matrix calculation H = C [I A ] 1 B + D Measurement data (bearing) u a Data processing PSD collective S m u u System response calculation S s y y = jh ges j 2 S m u u

14 DLR.de Chart 14 Contents Introduction Simulation Model Measurement Data Calculation Method Model Tuning Conclusion

15 DLR.de Chart 15 Model Tuning -DoE, -optimizer Model information EMBS-model setup State-space representation u; y; A ; B ; C ; D FRF-matrix calculation H = C [I A ] 1 B + D Measurement data (bearing) u a Data processing PSD collective S m u u System response calculation S s y y = jh ges j 2 S m u u Measurement data (brake) y a Data processing PSD collective Model tuning S m y y min js s y y S m y y j

16 DLR.de Chart 16 Model Tuning Model tuning min js s y y S m y y j

17 DLR.de Chart 17 Conclusion Modeling of generic flexible bogie frames of railway vehicles The bogie frame model consists of several beam elements with different properties Fully parameterized simulation model Modeled with the SIMPACK 3 rd party product SIMBEAM Calculation approach in the frequency domain The system responses of the simulation model are compared with the measurement data Procedure is used to align the simulation model with a realistic bogie frame

18 DLR.de Chart 18 Thank you for your attention! Christoph Wesseler German Aerospace Center (DLR) Institute of System Dynamics and Control Department Vehicle System Dynamics Münchener Str Weßling Germany