International Journal of Vehicle Structures and Systems

Open Access Open Access  Restricted Access Subscription Access

Dynamic Analysis of Linke Hofmann Busch Coach and Determination of its Sensitive Design Parameters Considering Suspended Equipments


Affiliations
1 Dept. of Applied Mechanics, MNNIT, Allahabad, India
2 Dept. of Mech. Engg., MNNIT, Allahabad, India
 

   Subscribe/Renew Journal


This study aims at dynamic behaviour of a Linke Hofmann Busch coach and its sensitive parameters against track irregularities considering various suspended equipment. The randomly distributed track irregularities characterized in terms of Indian Rail Road PSD standard are considered main source of excitation that produces undesired vibrations. The coach body and bogie frame subjected to 4 degree of freedom motions (bounce, lateral, roll and pitch) are modelled using finite element methodology where system matrices such as mass, stiffness and damping matrices are obtained for eigenvalue solution. Using modal parameters obtained as above and PSD of track irregularities, both vertical and lateral mean square acceleration responses (MSAR) are determined at various points of concern on coach body. It is observed that the vertical peak responses occur in low frequency range (0-10 Hz) which is caused by long wavelength irregularities of track that causes discomfort. It is also observed that constant peak lateral responses occur at still lower frequency as compared to vertical response which again causes discomfort to vehicle riders. This concludes that there is a further scope of improvement in comfort level with minor adjustments of suspended equipment of a LHB coach. A sensitivity analysis based on the partial derivatives against FRF displacement is conducted and most sensitive design parameters are obtained for optimization to improve ride comfort. It is suggested that if the mass of bio toilet tanks and relative position of battery box + transformer unit i.e. most sensitive parameters of suspended equipment are changed then the ride comfort can be improved

Keywords

Linke Hofmann Busch Coach, Suspended Equipments, Power Spectral Density, Dynamic Responses, Finite Elements.
User
Subscription Login to verify subscription
Notifications
Font Size

  • S.R. Chandmal. 2013. Sensitivity analysis of ride behaviour of Indian railway Rajdhani coach using Lagrangian dynamics, Int. J. Vehicle Structures & Systems, 5(3), 84-89. http://dx.doi.org/10.4273/ijvss.5.3-4.02

  • R.C. Sharma. 2011. Parametric analysis of rail vehicle parameters influencing ride behaviour, Int. J. Engg., Sci. and Tech., 3(8), 54-65.

  • D. Tore. 2004. Railway track settlements - A literature review, Division of Solid Mechanics, IKP, Linköping University, Sweden.

  • Y.N. Sevgi, G. Rahmi, M. Muzaffer and Y. Hakan. 2007. Analyses of railway induced vibrations for different track types, Inter-Noise, Istanbul,Turkey.

  • G. Bonin, G. Cantisani, M. Carbonari, G. Loprencipe and A. Pancotto. 2007. Railway traffic vibrations: generation and propagation - Theoretical aspects, Proc. 4th Int. SIIV Congress, Palermo, Italy.

  • F. Cheli and R. Corradi. 2011. On rail vehicle vibrations induced by track unevenness: Analysis of the excitation mechanism, J. Sound and Vibration, 330, 3744-3765. https://doi.org/10.1016/j.jsv.2011.02.025.

  • S. Mohammad zadeh, S.A. Mosayebi and R. Moosapoor. 2013. Investigating on the effects of random irregularities of railway track by half-bogie model, Int. J. Advances in Railway Engg., 1(1), 61-75.

  • W. Zhai and Z. Cai. 1991. Dynamic Interaction between a lumped mass vehicle and a discretely supported continuous rail track, Computers and Structures, 63(5), 987-997. https://doi.org/10.1016/S0045-7949(96)00401-4.

  • P. Broussinos and A.M. Kabe. 1991. Multi-Mode Random Response Analysis Procedure, Space System Division, Los Angeles, Air Force Base, EI Segundo, California.

  • K.V. Gangadharan, C. Sujatha and V. Ramamurti. 2004. Experimental and analytical ride comfort evaluation of a railway coach, Proc. IMAC-XXII A Conf. & Exposition on Structural Dynamics, 249, Dearborn, Michigan, USA.

  • R.C. Sharma. 2013. Modelling and simulation of railway vehicle system, Int. J. Mech. Engg. and Robotics Research, 1(1), 55-66.

  • K.V. Gangadharan and C. Sujatha. 2008. Dynamic response of railroad vehicle: A frequency domain approach, Int. J. Heavy Vehicle Systems, 15(1), 65-81. https://doi.org/10.1504/IJHVS.2008.017984.

  • D. Younesian and A. Nankali. 2009. Spectral optimization of suspension system of high speed trains, Int. J. Vehicle Structure & System, 1(4), 98-103. http://dx.doi.org/10.4273/ijvss.1.4.06.

  • X. Jinhui, W. Biao, W. Li and W. Ping. 2016. Distribution characteristics and influencing factors of the frequency-domain response of a vehicle-track vertical coupled system, J. Modern Transportation, 24(3), 166-176. https://doi.org/10.1007/s40534-016-0111-9.

  • R. Lupea and I. Curtean. 2012. A car component subjected to multiple sources of random vibrations, Romanian J. Acoustics and Vibration, 9(2), 117-122.

  • D. Mădălina. 2013. Evaluation of the comfort index in railway vehicles depending on the vertical suspension features, Annals of Faculty Engg. Hunedoara, Int. J. Engg., 23-32.

  • W. Sun, D. Gong, J. Zhou and Y. Zhao. 2011. Influences of suspended equipment under car body on high speed train ride quality, Proc. Engg., Int. Workshop on Automobile, Power and Energy Engg., 16, 812-817. https://doi.org/10.1016/j.proeng.2011.08.1159.

  • B. Yulong, L. Yongle and D. Jiajie. 2016. A case study of dynamic response analysis and safety assessment for a suspended monorail system, Int. J. Environmental Research and Public Health, 13(11), 1121. https://doi.org/10.3390/ijerph13111121.

  • R.C. Sharma. 2012. Recent advances in railway vehicle dynamics, Int. J. Vehicle Structures & Systems, 4(2), 52-63. http://dx.doi.org/10.4273/ijvss.4.2.04.

  • W.M. To. 1990. Sensitivity Analysis of Mechanical Structures Using Experimental Data, Ph.D Thesis, Imperial College of Sci., Tech. And Medicine, University of London.

  • D. Bhattacharjee, B. Malakar, P. Singh, S. Neog and B.K. Roy. 2016. Parametric sensitivity analysis of undercarriage components of a railway vehicle and their correlation to derailment safety and ride comfort, Int. J. Control Theory and Applications, 9(39), 83-94.

  • R.J. Guyan. 1965. Reduced stiffness and mass matrices, J. AIAA, 3, 380. https://doi.org/10.2514/3.2874.

  • W. Gao, N. Zhang and H.P. Du. 2007. A half car model for dynamic analysis of vehicles with random parameters, Proc. 5th Australasian Congress on Applied Mechanics.

  • T. Dahlberg. 2006. Track Issue, Handbook of Railway vehicle dynamics, Taylor and Francis.

  • J. Nielsen, E. Berggren, T. Lölgen, R. Müller, B. Stallaert and L. Pesqueux. 2013. Overview of methods for measurement of track irregularities important for ground-borne vibration, Deliverable D2.5, Railway Induced Vibration Abatement Solutions, Collaborative project.

  • S.L. Grassie. 2009. Rail corrugation: characteristics, causes, and treatments, Proc. IMechE Part F: J. Rail and Rapid Transit, 223.

  • C.J. Greisen. 2010. Measurement, Simulation and Analysis of the Mechanical Response of Railroad Track, University of Nebraska - Lincoln.

  • G. Kouroussis, D.P. Connolly and O. Verlinden. 2014. Railway-induced ground vibrations - A review of vehicle effects, Int. J. Rail Transportation, 2(2), 69-110. https://doi.org/10.1080/23248378.2014.897791

  • R.N. Iyengar and O.R. Jaiswal. 1995. Random field modeling of railway track irregularities, J. Transportation Engg., 123(3), 303-308. https://doi.org/10.1061/(ASCE)0733-947X(1995)121: 4(303).

  • C.S. Krishnamorthy. 2001. Finite Element Analysis, Theory and Practice, 2nd Ed., Tata Mc Graw-Hill Publication Co. Ltd., New Delhi.

  • Maintenance Manual for BG Coaches of LHB Design. 2010. Research Design & Standards Organization, Ministry of Indian Railway, New Delhi.

  • C.S. Woo, H.S. Park and D.C. Park. 2008. Evaluation of characteristics and useful life of rubber spring for railway vehicle, Int. J. Railway, 1(3), 122-127.

  • W. Gao and N. Zhang. 2007. Dynamic analysis of vehicles with uncertain parameters, Proc. 14th Int. Congress on Sound and Vibration, Cairns, Australia.

  • R.V. Field, T.L. Paez and D.O. Smallwood. 2007. Validation of Random Vibration Environments, Sandia National Laboratories, Albuquerque.

  • R.C. Sharma. 2012. On the ride evaluation criteria of railway vehicles, Indian Railway Technical Bulletin, 5-9.

  • D.J. Ewins. Modal Testing: Theory, Practice and Application, 2nd Ed., Research Studies Press Ltd., England.


Abstract Views: 392

PDF Views: 162




  • Dynamic Analysis of Linke Hofmann Busch Coach and Determination of its Sensitive Design Parameters Considering Suspended Equipments

Abstract Views: 392  |  PDF Views: 162

Authors

S. D. Singh
Dept. of Applied Mechanics, MNNIT, Allahabad, India
Rakesh Mathur
Dept. of Applied Mechanics, MNNIT, Allahabad, India
R. K. Srivastava
Dept. of Mech. Engg., MNNIT, Allahabad, India

Abstract


This study aims at dynamic behaviour of a Linke Hofmann Busch coach and its sensitive parameters against track irregularities considering various suspended equipment. The randomly distributed track irregularities characterized in terms of Indian Rail Road PSD standard are considered main source of excitation that produces undesired vibrations. The coach body and bogie frame subjected to 4 degree of freedom motions (bounce, lateral, roll and pitch) are modelled using finite element methodology where system matrices such as mass, stiffness and damping matrices are obtained for eigenvalue solution. Using modal parameters obtained as above and PSD of track irregularities, both vertical and lateral mean square acceleration responses (MSAR) are determined at various points of concern on coach body. It is observed that the vertical peak responses occur in low frequency range (0-10 Hz) which is caused by long wavelength irregularities of track that causes discomfort. It is also observed that constant peak lateral responses occur at still lower frequency as compared to vertical response which again causes discomfort to vehicle riders. This concludes that there is a further scope of improvement in comfort level with minor adjustments of suspended equipment of a LHB coach. A sensitivity analysis based on the partial derivatives against FRF displacement is conducted and most sensitive design parameters are obtained for optimization to improve ride comfort. It is suggested that if the mass of bio toilet tanks and relative position of battery box + transformer unit i.e. most sensitive parameters of suspended equipment are changed then the ride comfort can be improved

Keywords


Linke Hofmann Busch Coach, Suspended Equipments, Power Spectral Density, Dynamic Responses, Finite Elements.

References





DOI: https://doi.org/10.4273/ijvss.10.4.02