بحث بعنوان Modal Analysis of Asymmetric Helical Gear using Finite Element Modelling for Free and Prestress Condition

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Modal Analysis of Asymmetric Helical Gear using Finite Element Modelling for Free and Prestress Condition
Rahul V. Borade, S. V. Kshirsagar
Department of Mechanical Engineering, AISSMS COE, SPPU, Pune, Maharashtra, India

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ABSTRACT
Modal analysis is used to determine the inherent dynamic characteristics of a system in forms of natural frequencies,
damping factors and mode shapes. These parameters are important in the design of a system for dynamic loading
conditions. Conventionally, modal analysis is performed with specific commercial tools. In this research paper the
modal analysis of involute helical gear pair is carried out using finite element analysis tool ANSYS16.0. Gear noise
and vibration is a major problem in many power transmission applications this problem becomes more significant in
applications with higher operating speeds, where there is vibratory excitation which is related to the gear
transmission error. The goal of modal analysis in this research paper is to determine the natural mode shapes and
frequencies of the present helical gear pair and to comparatively analyse with frequencies of the geometrically
modified asymmetric helical gear pair during free vibration as well as in pre-stress condition.
Keywords: Asymmetric Gear, Helical Gear, Modal Analysis, Mode shape
IV. CONCLUSION
A finite-element model is developed to study the
dynamic behavior of helical gear pair using FEA
software. The results of natural frequencies and their
corresponding mode shapes are reported. It has been
found that first two modes are radial expansion and
twisting modes due to transverse vibrations whereas
fifth mode is torsion mode which is due to torsional
vibration. Effect of coefficient of asymmetry on natural
frequencies of the system is also studied using graphs
and figure which shows that for first natural frequency
1 st NATURAL
FREQUENCY Hz
2nd NATURAL FREQUENCY International Journal of Scientific Research in Science, Engineering and Technology (ijsrset.com) 272
as coefficient of asymmetry increases natural frequency
also increases while for decreased in coefficient of
asymmetry it cannot gives linear variation . Finally, it
has been shown that the asymmetric gear profile can be
used to avoid resonance condition for system running at
high speed application. This type of study may be
helpful in understanding modal behavior of geared rotor
systems. In future, modal analysis using experimental
approach will be tried for similar type of gear system.

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