It is more realistic to include the effect of adjacent teeth stiffness while evaluating the root stresses of a gear which is a rotationally periodic structure. This requires very large core and computational time. In the present analysis an attempt has been made to compare the root stresses with and without considering the effects of adjacent gear teeth stiffnesses using the concept of cyclic symmetry. Further, an attempt has been made to study the performance of a composite spur gear using the above approach. It is found that the root structure predicted by the method of cyclic symmetry is less for both isotropic and orthotropic spur gears. © 1993.

S. Mohamed Nabi

Natrajan Ganesan

Composite structures

Fiber reinforced materials

finite element method

Gear teeth

stresses

ADJACENT GEAR TEETH STIFFNESS

COMPOSITE GEAR STATIC STRESS ANALYSIS

CYCLIC SYMMETRIC APPROACH

CYCLIC SYMMETRIC STRUCTURE

ISOTROPIC SPUR GEARS

ORTHOTROPIC SPUR GEARS

STRUCTURAL STIFFNESS MATRIX

THREE-DIMENSIONAL FINITE ELEMENT

Gears

IIT Madras is a public technical and research university located in Chennai, Tamil Nadu. Founded in 1959, it is recognised as an Institute of National Importance.

IIT Madras has been ranked as the top engineering institute in India for four years in a row by the National Institutional Ranking Framework of the MHRD

It currently offers undergraduate, postgraduate and research degrees across 16 disciplines in Engineering, Sciences, Humanities and Management. About 596 faculty belonging to science and engineering departments and centres of the Institute are engaged in teaching, research and industrial consultancy.

IIT Madras

Static stress analysis of composite spur gears using 3D-finite element and cyclic symmetric approach

Composite Structures

Engineering components made of composite materials find increasing applications ranging from spacecraft to small instruments. Many types of gear pump use composite gears, however little literature is available on their use. In this paper results obtained by static stress analysis of composite gears using a three-dimensional finite element approach are presented. Performance of two orthotropic material gears are presented and compared with mild steel gear. From the results it is concluded that composite material such as graphite/epoxy can be thought of as a material for power transmission gears. © 1993.

Computers and Structures

Stress analysis of composite spur gear using the finite element approach

This paper presents a new approach to the stress analysis of spur gear teeth using finite element method and cyclic symmetry. The boundary conditions imposed between the two adjacent teeth in the conventional F.E.M. are avoided in this approach. Each tooth is considered as an identical substructure of the gear wheel. The contact line load at one such substructure leads to an asymmetric loading of the wheel as a whole. This force system is resolved into a finite Fourier series to calculate the static stresses. Frequency analysis is carried out using a simultaneous iteration scheme to solve the eigenvalue problem. Out of core techniques such as submatrices elimination methods are adopted. These values are compared with the ones obtained by considering the tooth as a cantilever beam using Rayleigh's method. Transient response is obtained by using the modal superposition technique. © 1988.

Dynamic analysis of spur gear teeth

Who's Who

Levin, David Saul, (born 28 Jan. 1962), Chief Executive, McGraw-Hill Education, New York, since 2014

The Shock and Vibration Digest

Book Reviews : COMPUTER AIDED DESIGN IN MECHANICAL EMGINEERING V. Ramamurti Tata Mc-Graw-HIII Publishing Co., Ltd. New Delhi, India 1987, 284 pp

Composites

Carbon fibres and their composites

Journal	Composite Structures
ISSN	02638223
Open Access	No