Prediction of Driveshaft Critical Speed Using the Transfer Matrix Method

2000 ◽  
Author(s):  
Thomas M. Essi
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Critical Speed

Extension of the Transfer Matrix Method for Rotordynamic Analysis to Include a Direct Representation of Conical Sections and Trunnions

1980 ◽  
Vol 102 (1) ◽  
pp. 122-129 ◽  
Author(s):  
M. S. Darlow ◽  
B. T. Murphy ◽  
J. A. Elder ◽  
G. N. Sandor
Keyword(s):  
Transfer Matrix ◽  
Cross Sections ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Critical Speed ◽  
Axial Direction ◽  
Matrix Analysis ◽  
Beam Elements ◽  
Conical Section ◽  
Rotor Model

The transfer matrix method for rotordynamic analysis (alternately known as the HMP or LMP method) has enjoyed wide popularity due to its flexibility and ease of application. A number of computer programs are generally available which use this method in various forms to perform undamped critical speed, unbalance response, damped critical speed and stability analyses. For all of these analyses, the assembly of the transfer matrices from the rotor model is essentially the same. In all cases, the rotor model must be composed entirely of cylindrical beam elements. There are two situations when this limitation is not desirable. The first situation is when the rotor being modelled has one or more sections whose cross sections vary continually in the axial direction. The most common of these sections is the conical section. Presently, a conical section must be modelled as a series of “steps” of cylindrical sections. This adversely affects both the simplicity and accuracy of the rotor model. The second situation when current transfer matrix techniques are not accurate is when the rotor being modelled has one or more sections that do not behave as beam elements. The most common example is a trunnion which behaves as a plate. This paper describes the analytical basis and the method of application for direct representation of conical sections and trunnions for a transfer matrix analysis. Analytical results are currently being generated to demonstrate the need for and advantages of these modelling procedures.

The Dynamics Modeling and Simulation of Spindle System of Ultra-High Speed Grinding Machine Tool

2011 ◽  
Vol 175 ◽  
pp. 206-210 ◽  
Author(s):  
Ya Li Hou ◽  
Chang He Li
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Performance Optimization ◽  
Matrix Method ◽  
High Speed ◽  
Critical Speed ◽  
Dynamics Modeling ◽  
Spindle System ◽  
Ultra High Speed ◽  
Grinding Machine

This study was focused on the theoretical modeling and numerical simulation about the dynamic characteristics of spindle system of ultra-high speed grinder. Based on the rotor dynamics and structural system dynamics, a dynamic model was established using the transfer matrix method and the overall transfer matrix method. The critical speeds of first three orders, the modes of variation and other dynamic characteristic parameters of the spindle system were analyzed and calculated. The results showed that the working speed of the spindle system is much lower than the primary critical speed and can therefore stay away the resonance range effectively. Furthermore, the span of the fulcrum bearing and the overhang had significant influences on the critical speed within a certain range, and the study provided the basis and guidance for the structural design and performance optimization of the spindle system.

Study on the Coupled Bending and Torsional Vibrations of Turbo-Generator Unit with Rub-Impact

2012 ◽  
Vol 246-247 ◽  
pp. 1273-1277
Author(s):  
Cheng Bing He ◽  
Shi Chao Wang
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Vibration Amplitude ◽  
Critical Speed ◽  
Torsional Vibrations ◽  
Mass Model ◽  
Mass Unbalance ◽  
Turbo Generator ◽  
Generator Unit

An increment transfer matrix equations based on step-by-step integration method and traditional transfer matrix method are deduced Combined with multi-mass model and Riccati method, the increment transfer matrix method is put forward, that can be directly used to analyze the dynamic response of the coupled bending and torsional vibrations of turbo-generator shafts with rub-impact. Taking a turbo-generator unit as example, the vibration character of rub-impact fault is analyzed when unit starts up. The research results show that rubbing will make vibration amplitude increase when the rotational speed is lower than the first critical speed; however, when the speed is higher than the first critical speed, rubbing will make the rotor mass unbalance reduce, thereby vibration amplitude will reduce slightly.

The Analysis of the Critical Speed of Ultra High Speed High Temperature Abrasion Tester

2013 ◽  
Vol 321-324 ◽  
pp. 71-76
Author(s):  
Jian Gang Sun ◽  
Tie Jun Li ◽  
Xian Jing Ren ◽  
Shu Yan Liang ◽  
Guo Wei Mao
Keyword(s):  
High Temperature ◽  
Physical Model ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
High Speed ◽  
Critical Speed ◽  
Testing Machine ◽  
Matlab Software ◽  
Ultra High Speed

In order to make the actual work speed avoid critical speed of the ultra-high speed high temperature abrasion tester, and ensure the smooth running of the tester. Through the establishment of the physical model of testing machine, by using transfer matrix method and matlab software, all order critical speed of the tester is concluded.

Receptance Method for the Sensitivity Analysis of Critical Speeds to Rotor Support Stiffness

1997 ◽  
Vol 119 (3) ◽  
pp. 736-739 ◽  
Author(s):  
Chen-Kai Su ◽  
Shyh-Chin Huang
Keyword(s):  
Sensitivity Analysis ◽  
Transfer Matrix ◽  
Frequency Analysis ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Critical Speed ◽  
Numerical Examples ◽  
Support Effects ◽  
Rotor Support ◽  
Receptance Method

A rotor system can be studied via various approaches, e.g., FEM, the transfer matrix method, etc. The receptance method has been one of the methods used for frequency analysis of rotors. The authors, herein, have shown an application of the receptance matrix for sensitivity analysis. Examples of critical speed sensitivity to support stiffness were illustrated and a computing algorithm was developed. Numerical examples proved the approach to be valuable for rotor engineers in quick evaluation and understanding of the support effects.

Sign in / Sign up

Export Citation Format

Share Document