zPure Analytical Approach to Rotational Balancing

There is no single cause of undesirable vibrations occurring in rotating machinery. Poor operating conditions like loose mechanical parts, faulty impellers, faulty bearings, faulty gears, unbalanced machine elements, whirling and unbalanced shafts intensify vibration in rotating machines. In this work rotational unbalance was singled out as a cause of vibration and its nature, causes, effects and remedies explored and explained. Analytical equations are derived for both cases of single and double plane balancing of experimentally determined unbalance. The double plane balancing equations (10, 11 and 12) are novel to this work. With the derived balancing equations, an operator could avoid the difficult-to-understand, difficult-to-use and error prone graphical approach. In the modern world’s industrial set-up, productivity is improved by integrating high-speed computers into the process of production. Based on this need a general MATLAB program was written for quick solution of experimental double plane balancing problems. Three exercises drawn from a standard text were used to illustrate the usefulness of the derived equations.