Rotor Systems

The purpose of this book is to give a basic understanding of rotor dynamics phenomena with the help of simple rotor models and subsequently, the modern analysis methods for real life rotor systems. This background will be helpful in the identification of rotor-bearing system parameters and its use in futuristic model-based condition monitoring and, fault diagnostics and prognostics. The book starts with introductory material for finite element methods and moves to linear and non-linear vibrations, continuous systems, vibration measurement techniques, signal processing and error analysis, general identification techniques in engineering systems, and MATLAB analysis of simple rotors. Key Features: • Covers both transfer matrix methods (TMM) and finite element methods (FEM) • Discusses transverse and torsional vibrations • Includes worked examples with simplicity of mathematical background and a modern numerical method approach • Explores the concepts of instability analysis and dynamic balancing • Provides a basic understanding of rotor dynamics phenomena with the help of simple rotor models including modern analysis methods for real life rotor systems.

The purpose of this book is to give a basic understanding of rotor dynamics phenomena with the help of simple rotor models and subsequently, the modern analysis methods for real life rotor systems. This background will be helpful in the identification of rotor-bearing system parameters and its use in futuristic model-based condition monitoring and, fault diagnostics and prognostics. The book starts with introductory material for finite element methods and moves to linear and non-linear vibrations, continuous systems, vibration measurement techniques, signal processing and error analysis, general identification techniques in engineering systems, and MATLAB analysis of simple rotors. Key Features: • Covers both transfer matrix methods (TMM) and finite element methods (FEM) • Discusses transverse and torsional vibrations • Includes worked examples with simplicity of mathematical background and a modern numerical method approach • Explores the concepts of instability analysis and dynamic balancing • Provides a basic understanding of rotor dynamics phenomena with the help of simple rotor models including modern analysis methods for real life rotor systems.

A new mathematical model is proposed to examine the vibration transmission through rolling element bearings in geared rotor systems. Current bearing models, based on either ideal boundary conditions for the shaft or purely translational stiffness element description, cannot explain how the vibratory motion may be transmitted from the rotating shaft to the casing. For example, a vibration model based upon the simple bearing formulations can only predict purely in-plane type motion on the flexible casing plate given only bending motion on the shaft. However, experimental results have shown that the casing plate motion is primarily flexural. This study clarifies this issue qualitatively and quantitatively by developing a comprehensive bearing stiffness matrix is partially verified using available analytical and experimental data, and is completely characterized. This study extends the proposed bearing formulation to analyze the overall geared rotor system dynamics including casting and mounts. The bearing stiffness matrix is included in discrete system models using lumped parameter and/or dynamic finite element techniques. Eigensolution and forced harmonic response due to rotating mass unbalance or kinematic transmissions error excitation for the following examples are computed: (I) single-stage rotor system with flexible shaft supported by two bearings on rigid casing and flexible mounts, (II) spur gear pair system with motor and load inertials attached to two flexible shafts and supported by four bearings on flexibly mounted rigid casing, and (III) case II with flexible casing and rigid mounts. In several of these examples, analytical predictions compare well with measured data, validating the purposed formulation.

This book discusses various rotor systems, rotor dynamics and dynamics of rotating machinery problems through tutorials. Most of the covered problems can be derived and solved using hand calculations for deeper understanding of the subject. It correlates the examples provided in this book with real machinery where it can be used, and readers can analyse their own simple rotor system based on the variety of examples presented. All problems are supplemented by independent MATLAB® codes for exploring the subject with more ease with graphical outputs. Features: • Rotordynamics terminology and phenomena are introduced with very simple rotor-bearing models. • In-depth analytical dynamic analysis of rotors mounted in flexible bearings and the effect of gyroscopic effects in simple rotor systems are covered. • Offers the possibility for the reader to reproduce the results and see how the equations are derived and solved in rotor dynamics. • A few examples of simple rotor-bearing-coupling systems, rotor-bearing-foundation systems and two-spool rotors are covered. • Directions are provided to extend the present exercise problems and their solutions. • Examples are supplemented by MATLAB® codes with detailed solution steps. • Includes multiple-choice questions and their solutions. This book is aimed at senior undergraduate/graduate students in mechanical engineering, as well as scientists and practice engineers from the field of rotordynamics, rotating machinery/turbomachinery and aerospace engineering.

This book deals with the study of tilt-rotor omnidirectional aerial robots and their application to aerial physical interaction tasks. Omnidirectional aerial robots possess decoupled translational and rotational dynamics, which are important for stable and sustained aerial interaction. The additional ability to dynamically re-orient thrust vectors opens the door to a wide array of possible morphologies and system capabilities. Through modeling, control, prototype design, and experimental evaluation, this book presents a comprehensive methodology and examples for the development of a novel tilt-rotor aerial manipulator. This work serves as a guide for envisioning and constructing innovative systems that will advance the frontier of aerial manipulation.

This book provides engineers and scientists with practical fundamentals for turbomachinery design. It presents a detailed analysis of existing procedures for the analysis of rotor and structure dynamics, while keeping mathematical equations to a minimum. Specific terminologies are used for rotors and structures, respectively, allowing the readers to clearly distinguish between the two. Further, the book describes the essential concepts needed to understand rotor failure modes due to lateral and torsional oscillations. It guides the reader from simple single-degree-of-freedom models to the most complex multi-degree-of-freedom systems, and provides useful information concerning steel pedestal stiffness degradation and other structural issues. Fluid-film bearing types and their dynamical behavior are extensively covered and discussed in the context of various turbomachinery applications. The book also discusses shaft alignment and rotor balancing from a practical point of view, providing readers with essential information to help them solve practical problems. As the main body of the book focuses on the diagnostics and description of case studies addressing the most pressing practical issues, together with their successful solutions, it offers a valuable reference guide, helping field engineers manage day-to-day issues with turbomachinery.