Open Access Open Access  Restricted Access Subscription or Fee Access

FEM Simulation Based Computation of Natural Frequencies and Mode Shapes of Loose Transmission Gearbox Casing

(*) Corresponding author

Authors' affiliations



The main objective of this research work is to compute the dynamic response in terms of natural frequencies and mode shapes of the heavy vehicle truck transmission gearbox casing subjected to connecting bolts loosening condition. The results of loose transmission casing analysis were compared with the zero displacement constraint condition when casing is tightly mounted on chassis frame using 37 connecting bolts. The loosened transmission causes heavy vibration and noise problem and leads failure of vehicle transmission system. The torsional vibration produces rattling and clattering noise. Reciprocity Principle has been used to determine the frequencies and mode shape for loosened transmission casing. The natural frequency and vibration mode shape are modal parameter required for initial design. The study of loose transmission casing is important for the point of view of resonance phenomena. The first 20-vibration mode shape and natural frequencies were calculated for zero displacement constraint condition, back and right side positional unconstraint conditions using FEM simulation. The study has theoretical and practical reference for the structure optimization of truck transmission casing. FEM based analysis tool ANSYS 14.5 has good analysis features and Solid Edge, Pro-E were used for modelling of transmission casing. The natural frequency of FEM simulation varies from, zero displacement condition (1669-3576) Hz, back side (1165-3467) Hz and right side (1929-3804)Hz positional unconstraint loose transmission casing. The loosening of transmission casing decrease the natural frequency by (3-30)% of zero displacement constraint condition.
Copyright © 2014 Praise Worthy Prize - All rights reserved.


Simulation; Torsional Vibration; Zero Displacement; Constraint; Connecting Bolts; Loose Transmission Casing; Unconstraint

Full Text:



Jiri Tuma, Gearbox Noise and Vibration Prediction and Control, International Journal of Acoustics and Vibration, vol. 14:1-11, 2009.

Mats Åkerblom, Gear noise and vibration - a literature survey Report-Volvo Construction Equipment Components AB, Research Journal of Applied Sciences, Engineering and Technology, vol 5: 1449-1453,2013.

Leila.Nacib, Komi Midzodzi. Pekpe and Saadi Sakhara, Detecting gear tooth cracks using cepstral analysis in gearbox of helicopters, International Journal of Advances in Engineering & Technology, vol 5: 139-145, 2013.

Timothy J. Gordon and ZeviBareket, Vibration Transmission from Road Surface Features – Vehicle Measurement and Detection, Technical Report for Nissan Technical Center North America, Inc. 2007; UMTRI-2007-4, 2007.

Chinmaya Kar and A.R. Mohanty, Monitoring gear vibrations through motor current signature analysis and wavelet transform, Mechanical Systems and Signal Processing, vol 20 :158–187, 2006.

P. Czech, Diagnosis of industrial gearboxes Condition by vibration and time frequency, Scale-frequency, frequency-frequency analysis, Metalurgija, vol 51: 521- 524, 2012.

R. Singh, Dynamic design of automotive systems-Engine mounts and structural Joints, Dynamic design of automotive systems, vol 25: 319- 330, 2000.

Ashwani Kumar, Arpit Dwivedi, Himanshu Jaiswal, Pravin P Patil, Material Based Vibration Characteristic Analysis of Heavy Vehicle Transmission Gearbox Casing Using Finite Element Analysis (FEA), Advances in Intelligent Systems and Computing, vol. 308: 527-533, 2014.

Renping Shao, Wentao Hu, Jingming Cao, Gear damage detection and diagnosis system based on COM Module, Advanced in Control Engineering and Information Science, Procedia Engineering, vol 10: 2301 – 2307, 2011.

Marina Franulovi, Robert Basan, Robert Kunc, Ivan Prebil, Numerical modeling of life prediction of gears, Procedia Engineering, vol 10: 562–567, 2011.

Ashwani Kumar, Himanshu Joshi, Aryamn Saini, Pravin P Patil,Vibration Diagnosis of Heavy Vehicle Truck Transmission Gearbox Casing Using FEA, Composite Materials-Proc. of Intl. Conf. on Mechanical Engineering, pp 169-177, ISBN: 9789-3510-72713, 2014.

Fujin Yu, Yongxiang Li, Daowen Sun,Wenquan Shen and Weiqiang Xia, Analysis for the Dynamic Characteristic of the Automobile Transmission Gearbox, Research Journal of Applied Sciences, Engineering and Technology, vol 5: 1449-1453,2013.

Ashwani Kumar, Himanshu Jaiswal, Avichal Pandey, Pravin P Patil, Free Vibration Analysis of Truck Transmission Housing based on FEA, Procedia Materials Science, vol 6 :1588-1592, 2014.

ANSYS R 14.5.Academic, Structural analysis Guide , 2013.

SOLIDEDGE .Version 19.0 , 2006.

Ashwani Kumar, Himanshu Joshi, Pravin P Patil, Vibration Based Failure Analysis of Heavy Vehicle Truck Transmission Gearbox Casing Using FEA, Composite Materials, Proc. Of Intl. Conf. on Mechanical Engineering, pp. 251-259, ISBN: 9789-3510-72713, 2014.

Pro-E 5.0. Designing guide manual. (2013)

De Falco, D., Di Massa, G., Pagano, S., Strano, S., Motorcycle handlebar dynamic response: Theoretical and experimental investigation, (2013) International Review of Mechanical Engineering (IREME), 7 (5), pp. 795-801.

El-Sayad, M.A., Response behaviors for a liquid ship strongly excited due to heave motion, (2012) International Review of Mechanical Engineering (IREME), 6 (4), pp. 770-778.

Salim, M.A., Noordin, A., A study of the mode shape effect in automobile braking System, (2012) International Review of Mechanical Engineering (IREME), 6 (4), pp. 719-723.

Fakhrabadi, M.M.S., Dadashzadeh, B., Norouzifard, V., Dadashzadeh, M., Investigation of dynamic behavior of the vehicle powertrain system during clutch engagement, (2011) International Review of Mechanical Engineering (IREME), 5 (6), pp. 1109-1115.


  • There are currently no refbacks.

Please send any question about this web site to
Copyright © 2005-2024 Praise Worthy Prize