华侨大学陈振川全球求助翻译英语论文 (10)

The Fifth International Conference on VIBRATION ENGINEERING AND TECHNOLOGY OF MACHINERY Huazhong University of Science and Technology, Wuhan, P.R. CHINA. 27-28 , August, 2009

© 2009 Huazhong Universiti of Science and Technology Press

INFLUENCE OF CENTRIFUGAL STIFFENING ON

A ROTOR SYSTEM WITH A FLEXIBLE

DIAPHRAGM COUPLING

S.Ganesan C. Padmanabhan*

Machine Design Section, Department of Mechanical Engineering, Indian Institute of Technology,

Madras, Chennai, India, (Email:mouli@iitm.ac.in)

ABSTRACT In this paper, an investigation to estimate the influence of rotational speed

on the flexible coupling rotor using a time invariant model has been carried out. A rigid

hollow shaft with a flexible diaphragm coupling as a rotor system is studied for its

dynamic behavior by deriving a finite element rotor model. To estimate stiffness

parameters of flexible coupling to include in the finite element model, a solid modeling

of the coupling has been generated and a quasi-static analysis has been carried out at

different speeds using ABAQUS software. The estimated stiffness in all six degrees of

freedom has been lumped as a stiffness matrix for the coupling in the time invariant rotor

model. Eigen analysis performed on the discretized flexible coupling rotor model clearly

indicates that the bending critical speeds of the model vary depending on angular velocity

due to centrifugal stiffening and gyroscopic couple. For speeds up to 20,000 rpm, the

increase in the first critical of the flexible rotor is 15%. Critical speed obtained is verified

with simplified analytical calculation. Also a limited experiment has been done to

validate the stiffness value input in the FEM model

KEYWORDS fexible coupling rotor, centrifugal stiffening

I. INTRODUCTION

In general, two mechanical systems get connected in a driveline by a coupling that tolerates a certain misalignment between them in static and dynamics conditions. Misalignment is due to various operating conditions such as thermal expansion of mechanical parts, sinking and relative movement of mounting beds. There are many types of couplings used in practice such as universal joint coupling, gear coupling, flector type coupling, and diaphragm type disk coupling. For high speed application with large misalignment, diaphragm type disk couplings are preferred since they are constant velocity coupling. The dynamics of a coupling rotor-system with such a coupling needs to be accurately predicted as the system may have to operate beyond its first critical speed. Then the influence of angular velocity on the modal properties of rotor system has to be understood clearly. The influence of rotational speed on the critical speeds of the flexible rotor is the main focus of the study.

To carry out this objective, a time invariant model based on finite element (FE) method is developed.

A rigid hollow shaft with a flexible diaphragm coupling as a rotor system is studied for its dynamic behavior by deriving a rotor finite element model which is an extension of Nelson and McVaugh rotor model [1]. A FEM rotor model with 2D beam element has been derived by Nelson and McVaugh [1] to find the influence of gyroscopic couple on a simply supported disk. They have clearly shown effect of

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