Balancing of High-Speed Machinery

ISBN-13: 9781461281948 / Angielski / Miękka / 2011 / 185 str.

Mark S. Darlow

Opis

Modern rotating machinery, particularly turbomachinery, is frequently being designed to operate at higher speeds than in the past. Consequently, there is an increased need to balance high-speed rotors. The purpose of this book is to provide the engineering student or practicing engineer with a single, complete reference on high-speed rotor balancing. To this end, a detailed analytical background and practical application procedures are presented for each of the principal high-speed rotor balancing methods, i.e. modal balancing, influence coefficient balancing and the Unified Balancing Approach. This information is supplemented and supported through a presentation of the theoretical development of synchronous rotor vibration and a brief overview of rigid rotor balancing techniques and machines. This is the first time this material is available in a single, concise volume, together with detailed descriptions of application procedures.

Spis treści

1 Introduction.- 2 Theoretical Background.- Basic Vibration Theory.- Undamped Free Vibration Model.- Damped Free Vibration Model.- Undamped Forced Vibration Model.- Damped Forced Vibration Model.- Basic Theory of Lateral Rotor Vibrations.- Conical Jeffcott Analysis.- Combined Jeffcott Analysis.- Synchronous Rotor Response Notation.- Elliptical Orbit Response.- 3 Review of Literature on Rotor Balancing.- General and Rigid Rotor Balancing Literature.- Modal Balancing Literature.- Influence Coefficient Balancing Literature.- Literature on Combined Modal/Influence Coefficient Balancing Methods and Comparative Studies.- 4 Rotor Balancing Methods and Instrumentation.- Rigid Rotor Balancing.- Flexible Rotor Balancing.- Vibration Measurement for Rotor Balancing.- 5 Modal Balancing.- Analytical Development.- Application to Balancing.- N and (N+2) Plane Modal Balancing.- Advantages and Limitations of Modal Balancing.- 6 Influence Coefficient Balancing.- Analytical Development.- Calculation of Correction Masses.- Calculation of Influence Coefficients.- Procedure for Influence Coefficient Balancing.- Advantages and Limitations of Influence Coefficient Balancing.- Elimination of Non-independent Balancing Planes.- Analytical Development of the Orthogonalization Procedure.- Constraining the Non-independent Planes.- Numerical Examples.- 7 The Unified Balancing Approach.- Analytical Development.- Calculation of Modal Trial Mass Sets.- Calculation of Modal Correction Mass Sets.- Calculation of Influence Coefficients.- Procedure for Application of the Unified Balancing Approach.- 8 Experimental Comparisons of the Various Methods.- Test Rotor System.- Influence Coefficient Balancing Tests.- Balancing at the First Critical Speed.- Balancing at the Third Critical Speed.- Balancing at the Fourth Critical Speed.- Enhanced Modal Balancing Tests.- Balancing the First Mode.- Balancing the Third Mode.- Balancing the Fourth Mode.- Unified Balancing Approach Tests.- Balancing at the First Critical Speed.- Balancing at the Third Critical Speed.- Balancing at the Fourth Critical Speed.- 9 Application of the Principle of Reciprocity to Flexible Rotor Balancing.- Principle of Reciprocity.- Numerical Verification of Reciprocity.- Experimental Verification of Reciprocity.- Supercritical Shaft Verification.- Demo Rig Measurements.- Using Reciprocity in Flexible Rotor Balancing.- Glossary of Terms for High-Speed Rotor Balancing.- References.