Optimum two-plane balancing of rigid rotor using discrete optimization algorithm

This paper aims to present the optimum two-plane discrete balancing procedure for rigid rotor. The discrete two-plane balancing in which rotor is balanced to minimize the residual effects or the reactions on the bearing supports using discrete parameters such as masses and their angular positions on two balancing planes.,Therefore as a multi-objective optimization problem is formulated by considering reaction forces on the bearing supports as a multi objective functions and discrete parameters on each balancing plane as design variables. These multi-objective functions are converted into a single-objective function using appropriate weighting factors. Further, this optimization problem is solved using discrete optimization algorithm, based on Jaya algorithm.,The performance of the discrete Jaya algorithm is compared to genetic algorithm (GA) algorithm. It is found that Jaya algorithm is computationally more efficient than GA algorithm. A number of masses per plane are used to balance the rotor. A comparison of reaction forces using number of masses per plane is investigated.,The effectiveness of the proposed methodology is tested by the balancing problem of rotor available in the literature. The influence of a number of balance masses on bearing forces and objective function are discussed. ADAMS software is used for validation of a developed balancing approach.

[1]  Yeon-Pun Chang,et al.  Optimal balancing of flexible rotors by minimizing the condition number of influence coefficients , 2008 .

[2]  P. G. Morton.  Modal Balancing of Flexible Shafts without Trial Weights , 1985 .

[3]  Jun Ni,et al.  Robust Optimal Influence-Coefficient Control of Multiple-Plane Active Rotor Balancing Systems , 2002 .

[4]  R. Rao.  Jaya: A simple and new optimization algorithm for solving constrained and unconstrained optimization problems , 2016 .

[5]  Moacir Kripka,et al.  Discrete optimization of trusses by simulated annealing , 2004 .

[6]  Alan R. Champneys,et al.  Automatic two-plane balancing for rigid rotors , 2008 .

[7]  Tayfun Dede,et al.  Application of Teaching-Learning-Based-Optimization algorithm for the discrete optimization of truss structures , 2014, KSCE Journal of Civil Engineering.

[8]  Louis J. Everett.  Two-Plane Balancing of a Rotor System Without Phase Response Measurements , 1987 .

[9]  Feng Liu,et al.  A heuristic particle swarm optimization method for truss structures with discrete variables , 2009 .

[10]  Jianjun Shi,et al.  Active Balancing and Vibration Control of Rotating Machinery: A Survey , 2001 .

[11]  A G Parkinson,et al.  Balancing of Rotating Machinery , 1991 .

[12]  R. Marler,et al.  The weighted sum method for multi-objective optimization: new insights , 2010 .

[13]  Shiyu Zhou,et al.  OPTIMAL ONE-PLANE ACTIVE BALANCING OF A RIGID ROTOR DURING ACCELERATION , 2002 .

[14]  Jasbir S. Arora,et al.  12 – Introduction to Optimum Design with MATLAB , 2004 .

[15]  Jasbir S. Arora,et al.  Survey of multi-objective optimization methods for engineering , 2004 .

[16]  Mariusz Pyrz,et al.  Discrete optimization of rigid rotor balancing , 2013 .

[17]  Mustafa Sonmez,et al.  Discrete optimum design of truss structures using artificial bee colony algorithm , 2011 .

[18]  Louis J. Everett.  OPTIMAL TWO-PLANE BALANCE OF RIGID ROTORS , 1997 .

[19]  Liangsheng Qu,et al.  THE OPTIMIZATION TECHNIQUE-BASED BALANCING OF FLEXIBLE ROTORS WITHOUT TEST RUNS , 2000 .

[20]  Shi Liu,et al.  A new field balancing method of rotor systems based on holospectrum and genetic algorithm , 2008, Appl. Soft Comput..

[21]  S. Rajeev,et al.  Discrete Optimization of Structures Using Genetic Algorithms , 1992 .