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Finite Element Analysis of Bending and Dynamic Response of a Power Transmission Spur Gear

Part of the Lecture Notes in Mechanical Engineering book series (LNME)


The spur gears are the simplest model and widely used in power transmission and weight lifting mechanism, etc. In this paper describes the selection of the materials is based on the increasing efficiency in bending, torque, velocity during heavy load application. The challenge is to develop a high-strength spur gear that can safely withstand required load. Bronze alloy was chosen for the spur gear application because of its toughness, strength, low coefficient of friction, corrosion resistance, high fatigue strength, and fine grain. One set of spur gear arrangement like one gear mesh with one pinion arrangement taken into consideration. Usually, the gear made up of steel that can be replaced by Bronze alloy. In this numerical analysis for the steel spur gear pair, the gear and pinion both are made up of AISI 4340 Steel. For the Bronze alloy gear pair, the gear is made up of phosphorus bronze copper alloy (UNS C51000) and pinion is made up of bronze sand cast. The model of spur gear was created using Creo-parametric software and the bending and torque analysis was obtained using FEA code ANSYS 15.0 software. The dynamic analysis was obtained by using FEA code ANSYS 15.0 (LS-DYNA) software. That performance of both materials numerically investigated and verified analytically. Bronze alloy gear provides better mechanical properties such as beam strength, high velocity, high dynamic load carrying capacity, and very low stress. Finally it was concluded that the Bronze alloy gears showed better performance when compared to steel alloy gears and this bronze alloy gear could be used as the better alternative gears for weight lifting applications.


  • Spur gear
  • AISI 4340 Steel
  • Bronze alloy
  • FEA

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  • DOI: 10.1007/978-981-13-6374-0_57
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Z1 and Z2:

Number of teeth on Pinion and Gear

m :


r, R:

Pitch circle Radius of Pinion and Gear

d, D:

Pitch circle Diameter of Pinion and Gear

C :

Center Distance

P c :

Circular pitch

P d :

Diametral pitch

G :

Gear ratio

rA, RA:

Addendum circle radius of Pinion and Gear

ap, aw:

Addendum of Pinion and Gear

N 1 :

Speed of Gear


Displacement vector sum (Over all displacement of the gear)

v :

Velocity of gear

P :


F t :

Tangential load on tooth

V :

Pitch line Velocity

F s :

Beam Strength

F d :

Dynamic Load

F w :

Maximum Wear Load

φ :

Pressure Angle

b :

Face width

y :

Lewis form factor

Q :

Ratio factor

K w :

Load Stress factor


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Correspondence to A. Saravanan .

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Saravanan, A., Suresh, P. (2019). Finite Element Analysis of Bending and Dynamic Response of a Power Transmission Spur Gear. In: Hiremath, S., Shanmugam, N., Bapu, B. (eds) Advances in Manufacturing Technology. Lecture Notes in Mechanical Engineering. Springer, Singapore.

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