Natrajan Ganesan

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

Calculation of higher frequencies of beams by the simultaneous iteration technique

Journal of Sound and Vibration

Prismatic shells find wide application in mechanical, civil and aeronautical engineering. The object of this paper is to propose a method of analysing such shells having different internal ribbing for their torsional vibrations. The governing equations of motion are derived by using a finite difference method and solved by the simultaneous iteration technique. The accuracy of the method is ascertained by comparing the results for some wellknown boundary conditions with the results obtained by classical methods. Shells of square cross-section and rectangular shells of variable and constant cross-section have been analysed. The effects of introduction of diaphragms on the eignefrequencies have been analysed. The effects of variations in shell thickness and length on the dynamic behaviour also have been studied. © 1975 Academic Press Inc. (London) Limited.

Torsional vibrations of prismatic shells

The simultaneous iteration method to determine the eigenfrequencies and eigenvectors is utilized for solving the flexural vibration problems of rotationally symmetric bodies. The finite element approach is used to predict the behaviour of the system. A suitable shape function for the circumferential displacement distribution has been proposed which reduces the three-dimensional problem to a two-dimensional one. The accuracy of the method has been checked by verifying the results of known cases. It has been applied to a complicated structure and results have been compared with experimental ones. © 1974.

International Journal of Mechanical Sciences

The application of the simultaneous iteration method to flexural vibration problems

The simultaneous iteration method of obtaining the eigenfrequencies and eigenvectors is utilized for solving torsional vibration problems. The finite element approach is adapted to predict the behaviour of the system. The effectiveness of the method is illustrated by employing it to the solution of the torsional vibration problem of a circular shaft, a conical shaft, a two-rotor system and a composite structure. © 1973 Academic Press Inc. (London) Limited.

Journal	Journal of Sound and Vibration
ISSN	0022460X
Open Access	No