Further Experiments on Balancing of a High-Speed Flexible Rotor

1974 ◽  
Vol 96 (2) ◽  
pp. 431-440 ◽  
Author(s):  
J. Tonnesen
Keyword(s):  
Computer Program ◽  
Least Squares ◽  
High Speed ◽  
Influence Coefficient ◽  
Flexible Rotor ◽  
Minimum Level ◽  
Absolute Level ◽  
Quality Class ◽  
Influence Coefficient Method ◽  
Coefficient Method

The accuracy of the influence coefficient method is experimentally investigated. The influence of the number of measurement transducers, their location, and type is demonstrated on a flexible rotor where simultaneous balancing is performed in up to five planes and passing through three critical speeds. The correction weights are calculated by means of a computer program, based on a least-squares minimizing procedure. The method itself is shown to be accurate and uses only a minimum of balancing runs to reduce the vibrations to a true minimum level. The overall accuracy in determining the unbalance weights is found to be 4.5 percent. The method’s effectiveness is demonstrated on a rotor with four balancing planes and with unbalance distributed at random in six and seven planes. The absolute level of residual vibrations is found to be in the ISO 0.4 quality class [5].

A Generalized Minmax Influence Coefficient Method for Flexible Rotor Balancing

2005 ◽  
Author(s):  
Costin Untaroiu ◽  
Paul Allaire
Keyword(s):  
High Speed ◽  
Optimization Problem ◽  
Current Method ◽  
Linear Matrix ◽  
Influence Coefficient ◽  
Flexible Rotor ◽  
Influence Coefficient Method ◽  
Rotor Balancing ◽  
Practical Constraints ◽  
Coefficient Method

Rotor balancing is a requirement for the smooth operation of high-speed rotating machinery. In field balancing, minimization of the residual vibrations at important locations/speeds under practical constraints is usually a challenging task. In this paper, the generalized minmax coefficient influence method is formulated as an optimization problem with flexible objective functions and constraints. The optimization problem is cast in a Linear Matrix Inequality (LMI) form and a balancing code is developed to solve it. Two balancing examples are run to verify the efficiency and flexibility of the proposed method. Over the existing methods, current method is more flexible for the various requirements encountered in field balancing and can be solved accurate with current mathematical software.

The Optimization of Balancing Least Squares Influence Coefficient Method Based on Particle Swarm Optimization

2011 ◽  
Vol 105-107 ◽  
pp. 56-61 ◽  
Author(s):  
Xing Xing Wang ◽  
Guo An Yang ◽  
Ya Jun Fan
Keyword(s):  
Particle Swarm Optimization ◽  
Least Squares ◽  
Particle Swarm ◽  
Influence Coefficient ◽  
Residual Vibration ◽  
Swarm Optimization ◽  
Measuring Point ◽  
Influence Coefficient Method ◽  
Rotor Balancing ◽  
Coefficient Method

On the basis of the rotor dynamic balancing theory, the rotor balancing least squares influence coefficient method has been discussed in detail in this paper. In order to solve the problem that the residual vibration in some of the measuring point and the balancing weight are comparatively large in the balance process with least squares influence coefficient method, particle swarm optimization algorithm with cross-factor, which is an improved swarm intelligence algorithm, is introduced into rotor balancing least squares influence coefficient method. Theoretical analysis and numerical examples show that the algorithm has a good convergence, with reducing the balancing weight and residual vibration effectively compared with basic least squares influence coefficient method. The result can achieve better balance effect in the rotor balancing process.

Flexible Rotor Balancing by the Exact Point-Speed Influence Coefficient Method

1972 ◽  
Vol 94 (1) ◽  
pp. 148-158 ◽  
Author(s):  
J. M. Tessarzik ◽  
R. H. Badgley ◽  
W. J. Anderson
Keyword(s):  
Influence Coefficient ◽  
Flexible Rotor ◽  
Critical Speeds ◽  
Angle Measurements ◽  
Flexible Rotors ◽  
Speed Range ◽  
Influence Coefficient Method ◽  
Rotor Balancing ◽  
Exact Point ◽  
Coefficient Method

A test program was conducted to confirm experimentally the validity of the exact point-speed influence coefficient method for balancing rotating machinery, and to assess the practical aspects of applying the method to flexible rotors. Testing was performed with a machine having a 41-in. long, 126-lb rotor. The rotor was operated over a speed range encompassing three rotor-bearing system critical speeds: two “rigid-body” criticals and one flexural critical. Rotor damping at the flexural critical was very low due to the journal bearings being located at the nodal points of the shaft. The balancing method was evaluated for three different conditions of initial rotor unbalance. The method was found to be effective and practical. Safe passage through all the critical speeds was obtained after a reasonable number of balancing runs. Success of the balancing method was, in large part, due to the accuracy of the instrumentation system used to obtain phase-angle measurements during the balancing procedure.

Load Distribution of Straight Beveloid Gears with Parallel Axes

2011 ◽  
Vol 308-310 ◽  
pp. 1773-1777
Author(s):  
Qiang Liu ◽  
Jia Xu Wang ◽  
Bei Li Yu ◽  
Ke Xiao
Keyword(s):  
Computer Program ◽  
Load Distribution ◽  
General Purpose ◽  
Influence Coefficient ◽  
The Finite Element Method ◽  
Beveloid Gears ◽  
Influence Coefficient Method ◽  
General Purpose Computer ◽  
Purpose Computer ◽  
Coefficient Method

An approach for the analysis of tooth contact and load distribution of straight beveloid gears with parallel axes is proposed. The approach is based on application of influence coefficient method that accommodates the influence of contact deformation and tooth deflection. Computer program has been written to calculate the distribution of pressure. Results have been analyzed and validated by comparison with studies carried out by the finite element method with the aid of ANSYS general purpose computer program. Suggestion has been given to minimize the drawback generated by stress concentration.

scholarly journals On a programme for the balancing calculation of flexible rotors with the influence coefficient method

2000 ◽  
Vol 22 (4) ◽  
pp. 235-247
Author(s):  
Nguyen Van Khang ◽  
Tran Van Luong
Keyword(s):  
Computer Software ◽  
Rotor System ◽  
Influence Coefficient ◽  
Flexible Rotor ◽  
C Language ◽  
Flexible Rotors ◽  
University Of Technology ◽  
Influence Coefficient Method ◽  
Coefficient Method

This paper presents the influence coefficient method of determining the locations of unbalances on a flexible rotor system and the correction weights. A computer software for calculating the at-the-site balancing of a flexible rotor system was created using C++ language at the Hanoi University of Technology. This software can be used by balancing flexible rotors in Vietnam.

Balancing of a Highly Flexible Rotor by Using Artificial Neural Networks

2007 ◽  
Author(s):  
Manuel Villafan˜e Saldarriaga ◽  
Jarir Mahfoud ◽  
Valder Steffen ◽  
Johan Der Hagopian
Keyword(s):  
Neural Networks ◽  
Artificial Neural Networks ◽  
Influence Coefficient ◽  
Flexible Rotor ◽  
Active Balancing ◽  
Influence Coefficient Method ◽  
Alternative Methodology ◽  
Artificial Neural ◽  
Coefficient Method

The present work is an alternative methodology in order to balance an unsymmetrical damped highly flexible rotor by using neural networks. This procedure was developed aiming at improving the performance of classical balancing methods, which are not well adapted to these situations. The approach developed is based on the influence coefficient method and is adequate to integrate an active balancing system. The methodology is tested successfully experimentally.

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