Vibration Power Flow: A Critical Review

Mandal, Nirmal Kumar; Biswas, Saroj

doi:10.1177/0583102404049168

Cited by 25 publications

(8 citation statements)

References 55 publications

(84 reference statements)

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“…V.C). Another example is the use of vibration power flow analysis 81 to examine the exchange of vibration energy among blades. 22,82,83 Such an alternative formulation can also be used as a preprocessor (e.g., to identify operating conditions that can cause high blade forced response) or as a complement to finite element-based reduced-order models.…”

Section: Fundamental and Alternative Modelsmentioning

confidence: 99%

Modeling and Analysis of Mistuned Bladed Disk Vibration: Current Status and Emerging Directions

Castanier

Pierre

2006

Journal of Propulsion and Power

360

198

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The literature on reduced-order modeling, simulation, and analysis of the vibration of bladed disks found in gas-turbine engines is reviewed. Applications to system identification and design are also considered. In selectively surveying the literature, an emphasis is placed on key developments in the last decade that have enabled better prediction and understanding of the forced response of mistuned bladed disks, especially with respect to assessing and mitigating the harmful impact of mistuning on blade vibration, stress increases, and attendant high cycle fatigue. Important developments and emerging directions in this research area are highlighted. I. Introduction T URBINE engine rotors, or bladed disks, are rich dynamical systems that are known to suffer from severe vibration problems. Although a bladed disk is typically designed to have identical blades, there are always random deviations among the blades caused by manufacturing tolerances, wear, and other causes. This is called mistuning. Even though mistuning is typically small (e.g., blade natural frequency differences on the order of a few percent of the nominal values), mistuned bladed disks can have drastically larger forced response levels than the ideal, tuned design. The attendant increase in stresses can lead to premature high cycle fatigue (HCF) of the blades. HCF is a major cost, safety, and reliability issue for gas-turbine engines. For example, in 1998 it was estimated by the U.S. Air Force that about 55% of fighter jet engine safety Class A mishaps (over $1 million in damage or loss of aircraft) and 30% of all jet engine maintenance costs were due to HCF. 1 It is clearly of great interest to be able to predict-and, ultimately, to reduce-the maximum blade response as a result of mistuning. The comprehensive modeling, analysis, and understanding of bladed disk vibration is thus critical to reducing the occurrence of HCF and improving the performance and reliability of turbine engines. Bladed disk vibration first received significant attention from the research community in the late 1960s and the 1970s. Notable early work was done by Whitehead, 2 Wagner, 3 Dye and Henry, 4 and Ewins. 5−8 The bladed disk vibration literature has been surveyed by Srinivasan 9,10 and Slater et al. 11 The 1997 survey by Srinivasan 10 Matthew P. Castanier is an Associate Research Scientist in the Department of Mechanical Engineering at the University of Michigan. He received his Ph.D. in Mechanical Engineering from the University of Michigan in 1995. His research interests are in the area of structural dynamics and vibration, including reduced-order modeling, low-to mid-frequency vibration and power flow in complex structures, localization and related phenomena in periodic or cyclic structures, and vibration of mistuned bladed disks in turbine engines. Christophe Pierre is Dean of the Faculty of Engineering at McGill University in Montréal, where he is also Professor of Mechanical Engineering and holds the Canada Research Chair in Structural Dynamics and Vibration. He ...

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Section: Fundamental and Alternative Modelsmentioning

confidence: 99%

Modeling and Analysis of Mistuned Bladed Disk Vibration: Current Status and Emerging Directions

Castanier

Pierre

2006

Journal of Propulsion and Power

360

198

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“…Analysis in time domain and frequency domain has relative advantages and disadvantages. It is recently discussed by Mandal et al [22].…”

Section: Discussionmentioning

confidence: 93%

“…These models (Eqs (22) and (23)) are applicable for orthotropic plates with uniform thickness. The applicability of uniform orthotropic plate theory in rib-plates, and corrugated plates depends on the flexural wavelength.…”

Section: Discussionmentioning

confidence: 99%

Far‐Field Power Transmissions in Orthotropic Plates: A New Approach

Mandal

2006

Shock and Vibration

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The structural intensity (SI) technique is an essential tool for locating and ranking vibration sources and sinks on structures. It can quantify vibration fields by plotting a vector map of energy transmission on the structures. In this paper, a different strategy, changing coordinate systems of plate equations, is used to develop an intensity equation from shear force components in both x and y directions. The formulation is carried out in the frequency domain considering flexural waves. Orthotropic plate theory, far-field conditions, Fourier transform, and finite difference approximation are considered. The same intensity definition is obtained using this different strategy. A dual-channel FFT analyser is essential for data acquisition to get an intensity vector in a particular direction for far-field conditions.

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“…Of particular interest in the context of this monograph were the contributions of Bocquillet et al (1998), who reviewed the validity of a solution of high-frequency models including SEA (see also Langley 1992), and Carcaterra (1998), who examined wavelength-scale effects on the energy propagated in selected structures. In a critical review paper (Mandal & Biswas 2005) on vibration power flows, the reported experimental approaches to measure the power flow intensity or sound intensity, particularly focusing on flexural waves, were discussed and compared. This review paper provides many valuable references with important practical techniques, such as, the pioneering work of Noiseux (1970) in the measurement of power flow in uniform beams and plates.…”

Section: Linear Power Flow Analysismentioning

confidence: 99%

Energy Flow Theory of Nonlinear Dynamical Systems with Applications

Xing

2015

Emergence, Complexity and Computation

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com/mycopyOrder online at springer.com ▶ or for the Americas call (toll free) 1-800-SPRINGER ▶ or email us at: customerservice@springer.com. ▶ For outside the Americas call +49 (0) 6221-345-4301 ▶ or email us at: customerservice@springer.com.The first € price and the £ and $ price are net prices, subject to local VAT. Prices indicated with * include VAT for books; the €(D) includes 7% for Germany, the €(A) includes 10% for Austria. Prices indicated with ** include VAT for electronic products; 19% for Germany, 20% for Austria. All prices exclusive of carriage charges. Prices and other details are subject to change without notice. All errors and omissions excepted. This monograph develops a generalised energy flow theory to investigate non-linear dynamical systems governed by ordinary differential equations in phase space and often met in various science and engineering fields. Important nonlinear phenomena such as, stabilities, periodical orbits, bifurcations and chaos are tack-led and the corresponding energy flow behaviors are revealed using the proposed energy flow approach. As examples, the common interested nonlinear dynamical systems, such as, Duffing's oscillator, Van der Pol's equation, Lorenz attractor, Rössler one and SD oscillator, etc, are discussed. This monograph lights a new energy flow research direction for nonlinear dynamics. A generalised Matlab code with User Manuel is provided for readers to conduct the energy flow analysis of their nonlinear dynamical systems. Throughout the monograph the author continuously returns to some examples in each chapter to illustrate the applications of the discussed theory and approaches. The book can be used as an undergraduate or graduate textbook or a comprehensive source for scientists, researchers and engineers, providing the statement of the art on energy flow or power flow theory and methods. J.T. Xing Energy Flow Theory of Nonlinear Dynamical Systems with Applications

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Vibration Power Flow: A Critical Review

Cited by 25 publications

References 55 publications

Modeling and Analysis of Mistuned Bladed Disk Vibration: Current Status and Emerging Directions

Modeling and Analysis of Mistuned Bladed Disk Vibration: Current Status and Emerging Directions

Far‐Field Power Transmissions in Orthotropic Plates: A New Approach

Energy Flow Theory of Nonlinear Dynamical Systems with Applications

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