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Statistical Energy Analysis of Dynamical Systems:Theory and Applications

Cover Image Copyright Year: 2003
Author(s): Lyon, R.
Publisher: MIT Press
Content Type : Books & eBooks
Topics: Robotics & Control Systems
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Abstract

This is the first full exposition in print of a subject in whose development over the past fifteen years the author has been a prime participant. As an approach to the study of mechanical vibrations, statistical energy analysis (SEA) has found new applications and adherents with each passing year. The name SEA was coined to emphasize the essential feature of the approach: "Statistical" indicates that the dynamical systems under study are presumed to be drawn from statistical populations or ensembles in which the distribution of the parameters is known. "Energy" denotes the primary variable of interest. "Analysis" is used to underscore the fact that SEA is a general framework of methods rather than a particular technique.Vibration is a ubiquitous problem for mechanical engineers, especially those concerned with the design of aircraft, spacecraft launch vehicles, ships, and similar structures composed of such elements as plates and beams. SEA provides the designer with a method for estimating the response characteristics of such structures to vibratory excitations, from which he can predict the potential for structural fatigue, component failure, and human discomfort caused by noise or excessive vibration levels. SEA is particularly appropriate in applications involving relatively large and lightweight structures, such as those designed for aerospace use. These statistical models are also helpful to mechanical designers who are charged with making environmental and vibratory response estimates at a stage in a project whese structural detail is not yet known. Moreover, SEA provides an approach to a number of vibration problems that cannot, from a practical viewpoint, be solved by classical methods.

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      Front Matter

      Lyon, R.
      Statistical Energy Analysis of Dynamical Systems:Theory and Applications

      Page(s): i - vii
      Copyright Year: 2003

      MIT Press eBook Chapters

      This chapter contains sections titled: Half Title, Title, Copyright, Contents View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      Basic Theory

      Lyon, R.
      Statistical Energy Analysis of Dynamical Systems:Theory and Applications

      Page(s): 1
      Copyright Year: 2003

      MIT Press eBook Chapters

      This is the first full exposition in print of a subject in whose development over the past fifteen years the author has been a prime participant. As an approach to the study of mechanical vibrations, statistical energy analysis (SEA) has found new applications and adherents with each passing year. The name SEA was coined to emphasize the essential feature of the approach: "Statistical" indicates that the dynamical systems under study are presumed to be drawn from statistical populations or ensembles in which the distribution of the parameters is known. "Energy" denotes the primary variable of interest. "Analysis" is used to underscore the fact that SEA is a general framework of methods rather than a particular technique.Vibration is a ubiquitous problem for mechanical engineers, especially those concerned with the design of aircraft, spacecraft launch vehicles, ships, and similar structures composed of such elements as plates and beams. SEA provides the designer with a method for estimating the response characteristics of such structures to vibratory excitations, from which he can predict the potential for structural fatigue, component failure, and human discomfort caused by noise or excessive vibration levels. SEA is particularly appropriate in applications involving relatively large and lightweight structures, such as those designed for aerospace use. These statistical models are also helpful to mechanical designers who are charged with making environmental and vibratory response estimates at a stage in a project whese structural detail is not yet known. Moreover, SEA provides an approach to a number of vibration problems that cannot, from a practical viewpoint, be solved by classical methods. View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      The Development Of Statistical Energy Analysis

      Lyon, R.
      Statistical Energy Analysis of Dynamical Systems:Theory and Applications

      Page(s): 3 - 18
      Copyright Year: 2003

      MIT Press eBook Chapters

      This chapter contains sections titled: Introduction, A Brief Historical Survey, The General Procedures of SEA, Future Developments of SEA, Organization of Part I View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      Energy Description Of Vibrating Systems

      Lyon, R.
      Statistical Energy Analysis of Dynamical Systems:Theory and Applications

      Page(s): 20 - 64
      Copyright Year: 2003

      MIT Press eBook Chapters

      This chapter contains sections titled: Introduction, Modal Resonator, Modal Analysis of Distributed Systems, Dynamics of Infinite Systems, Modal-Wave Duality View full abstract»

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      Energy Sharing by Coupled Systems

      Lyon, R.
      Statistical Energy Analysis of Dynamical Systems:Theory and Applications

      Page(s): 65 - 114
      Copyright Year: 2003

      MIT Press eBook Chapters

      This chapter contains sections titled: Introduction, Energy Sharing Among Resonators, Enerqy Exchanqe in Multi-Degree-of-Freedom Systems, Reciprocity and Energy Exchange in Wave Bearing Systems, Some sample Applications of SEA View full abstract»

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      The Estimation Of Response In Statistical Energy Analysis

      Lyon, R.
      Statistical Energy Analysis of Dynamical Systems:Theory and Applications

      Page(s): 115 - 152
      Copyright Year: 2003

      MIT Press eBook Chapters

      This chapter contains sections titled: Introduction, Mean Value Estimates of Dynamical Response, Calculation of Confidence Coefficients, Coherence Effects - Pure Tone and Narrow Band Response View full abstract»

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      Annotated Bibliography For Part I

      Lyon, R.
      Statistical Energy Analysis of Dynamical Systems:Theory and Applications

      Page(s): 154 - 169
      Copyright Year: 2003

      MIT Press eBook Chapters

      This chapter contains sections titled: Chapter 1. The Development of SEA, Chapter 2. Energy Description of Vibrating Systems, Chapter 3. Energy Sharing by Coupled Systems, Chapter 4. The Estimation of Response in Statistical Energy Analysis View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      Engineering Applications

      Lyon, R.
      Statistical Energy Analysis of Dynamical Systems:Theory and Applications

      Page(s): 171 - 174
      Copyright Year: 2003

      MIT Press eBook Chapters

      This chapter contains section titled: Introduction to Part II View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      The Use of Sea in Preliminary Design

      Lyon, R.
      Statistical Energy Analysis of Dynamical Systems:Theory and Applications

      Page(s): 175
      Copyright Year: 2003

      MIT Press eBook Chapters

      This is the first full exposition in print of a subject in whose development over the past fifteen years the author has been a prime participant. As an approach to the study of mechanical vibrations, statistical energy analysis (SEA) has found new applications and adherents with each passing year. The name SEA was coined to emphasize the essential feature of the approach: "Statistical" indicates that the dynamical systems under study are presumed to be drawn from statistical populations or ensembles in which the distribution of the parameters is known. "Energy" denotes the primary variable of interest. "Analysis" is used to underscore the fact that SEA is a general framework of methods rather than a particular technique.Vibration is a ubiquitous problem for mechanical engineers, especially those concerned with the design of aircraft, spacecraft launch vehicles, ships, and similar structures composed of such elements as plates and beams. SEA provides the designer with a method for estimating the response characteristics of such structures to vibratory excitations, from which he can predict the potential for structural fatigue, component failure, and human discomfort caused by noise or excessive vibration levels. SEA is particularly appropriate in applications involving relatively large and lightweight structures, such as those designed for aerospace use. These statistical models are also helpful to mechanical designers who are charged with making environmental and vibratory response estimates at a stage in a project whese structural detail is not yet known. Moreover, SEA provides an approach to a number of vibration problems that cannot, from a practical viewpoint, be solved by classical methods. View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      Response Estimation During Preliminary Design

      Lyon, R.
      Statistical Energy Analysis of Dynamical Systems:Theory and Applications

      Page(s): 175 - 177
      Copyright Year: 2003

      MIT Press eBook Chapters

      This is the first full exposition in print of a subject in whose development over the past fifteen years the author has been a prime participant. As an approach to the study of mechanical vibrations, statistical energy analysis (SEA) has found new applications and adherents with each passing year. The name SEA was coined to emphasize the essential feature of the approach: "Statistical" indicates that the dynamical systems under study are presumed to be drawn from statistical populations or ensembles in which the distribution of the parameters is known. "Energy" denotes the primary variable of interest. "Analysis" is used to underscore the fact that SEA is a general framework of methods rather than a particular technique.Vibration is a ubiquitous problem for mechanical engineers, especially those concerned with the design of aircraft, spacecraft launch vehicles, ships, and similar structures composed of such elements as plates and beams. SEA provides the designer with a method for estimating the response characteristics of such structures to vibratory excitations, from which he can predict the potential for structural fatigue, component failure, and human discomfort caused by noise or excessive vibration levels. SEA is particularly appropriate in applications involving relatively large and lightweight structures, such as those designed for aerospace use. These statistical models are also helpful to mechanical designers who are charged with making environmental and vibratory response estimates at a stage in a project whese structural detail is not yet known. Moreover, SEA provides an approach to a number of vibration problems that cannot, from a practical viewpoint, be solved by classical methods. View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      Procedures Of Statistical Energy Analysis

      Lyon, R.
      Statistical Energy Analysis of Dynamical Systems:Theory and Applications

      Page(s): 178 - 184
      Copyright Year: 2003

      MIT Press eBook Chapters

      This chapter contains sections titled: Introduction, Modeling the System, Evaluating the Parameters, Solvinq for the Enerqy Distribution, Evaluatinq Response from Energy Estimate View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      Estimation Of Dynamical Response

      Lyon, R.
      Statistical Energy Analysis of Dynamical Systems:Theory and Applications

      Page(s): 185 - 208
      Copyright Year: 2003

      MIT Press eBook Chapters

      This chapter contains sections titled: Introduction, Representations of the Energy Estimate, Response Concentration Factors, Variance and Estimation Intervals, Using Variance to Calculate Safety Factors View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      Estimating The Energy Of Vibration

      Lyon, R.
      Statistical Energy Analysis of Dynamical Systems:Theory and Applications

      Page(s): 209 - 223
      Copyright Year: 2003

      MIT Press eBook Chapters

      This chapter contains sections titled: Introduction, How the Overall System is Described, Alternative Form of the Energy Equation, Parameter Evaluation Using the Enerqy Equations, Useful Approximations and Simplifications View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      The Meaning And Use Of Sea Parameters

      Lyon, R.
      Statistical Energy Analysis of Dynamical Systems:Theory and Applications

      Page(s): 224 - 237
      Copyright Year: 2003

      MIT Press eBook Chapters

      This chapter contains sections titled: Introduction, Dissipation Parameters, Power Transfer Parameters, Modal Count of Subsystems, Input Power Prediction, Conclusions View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      Modeling The System

      Lyon, R.
      Statistical Energy Analysis of Dynamical Systems:Theory and Applications

      Page(s): 238 - 247
      Copyright Year: 2003

      MIT Press eBook Chapters

      This chapter contains sections titled: Introduction, Definition of Subsystem, Identifying and Evaluating the Coupling Between Subsystems, Subsystems Within a Section of the System, Discussion View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      Evaluation of Sea Parameters

      Lyon, R.
      Statistical Energy Analysis of Dynamical Systems:Theory and Applications

      Page(s): 248
      Copyright Year: 2003

      MIT Press eBook Chapters

      This is the first full exposition in print of a subject in whose development over the past fifteen years the author has been a prime participant. As an approach to the study of mechanical vibrations, statistical energy analysis (SEA) has found new applications and adherents with each passing year. The name SEA was coined to emphasize the essential feature of the approach: "Statistical" indicates that the dynamical systems under study are presumed to be drawn from statistical populations or ensembles in which the distribution of the parameters is known. "Energy" denotes the primary variable of interest. "Analysis" is used to underscore the fact that SEA is a general framework of methods rather than a particular technique.Vibration is a ubiquitous problem for mechanical engineers, especially those concerned with the design of aircraft, spacecraft launch vehicles, ships, and similar structures composed of such elements as plates and beams. SEA provides the designer with a method for estimating the response characteristics of such structures to vibratory excitations, from which he can predict the potential for structural fatigue, component failure, and human discomfort caused by noise or excessive vibration levels. SEA is particularly appropriate in applications involving relatively large and lightweight structures, such as those designed for aerospace use. These statistical models are also helpful to mechanical designers who are charged with making environmental and vibratory response estimates at a stage in a project whese structural detail is not yet known. Moreover, SEA provides an approach to a number of vibration problems that cannot, from a practical viewpoint, be solved by classical methods. View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      Parameter Evaluation - The Engineering Base of Sea

      Lyon, R.
      Statistical Energy Analysis of Dynamical Systems:Theory and Applications

      Page(s): 248 - 251
      Copyright Year: 2003

      MIT Press eBook Chapters

      This chapter contains sections titled: Introduction, What are the SEA Parameters?, How Exactly Can (Must) We Know SEA Parameters?, How to Use This Section View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      The Damping Parameter

      Lyon, R.
      Statistical Energy Analysis of Dynamical Systems:Theory and Applications

      Page(s): 252 - 277
      Copyright Year: 2003

      MIT Press eBook Chapters

      This chapter contains sections titled: Introduction, Measurement of Damping, Damping Values for Materials [17], Damping of Built-Up Structures, The Damping of Add-On Systems View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      Evaluating the Mode Count

      Lyon, R.
      Statistical Energy Analysis of Dynamical Systems:Theory and Applications

      Page(s): 278 - 293
      Copyright Year: 2003

      MIT Press eBook Chapters

      This chapter contains sections titled: Introduction, Experimental Procedures for Determining Mode Count, Mode Counts of Acoustical Subsystems, Flat Structures, Mode Count of Curved Structures, One-Dimensional Structure View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      Evaluating Coupling Loss Factors

      Lyon, R.
      Statistical Energy Analysis of Dynamical Systems:Theory and Applications

      Page(s): 294 - 316
      Copyright Year: 2003

      MIT Press eBook Chapters

      This chapter contains sections titled: Introduction, Coupling Between Acoustical Spaces, Coupling Between Structural Subsystems View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      Example of Response Estimation

      Lyon, R.
      Statistical Energy Analysis of Dynamical Systems:Theory and Applications

      Page(s): 317
      Copyright Year: 2003

      MIT Press eBook Chapters

      This is the first full exposition in print of a subject in whose development over the past fifteen years the author has been a prime participant. As an approach to the study of mechanical vibrations, statistical energy analysis (SEA) has found new applications and adherents with each passing year. The name SEA was coined to emphasize the essential feature of the approach: "Statistical" indicates that the dynamical systems under study are presumed to be drawn from statistical populations or ensembles in which the distribution of the parameters is known. "Energy" denotes the primary variable of interest. "Analysis" is used to underscore the fact that SEA is a general framework of methods rather than a particular technique.Vibration is a ubiquitous problem for mechanical engineers, especially those concerned with the design of aircraft, spacecraft launch vehicles, ships, and similar structures composed of such elements as plates and beams. SEA provides the designer with a method for estimating the response characteristics of such structures to vibratory excitations, from which he can predict the potential for structural fatigue, component failure, and human discomfort caused by noise or excessive vibration levels. SEA is particularly appropriate in applications involving relatively large and lightweight structures, such as those designed for aerospace use. These statistical models are also helpful to mechanical designers who are charged with making environmental and vibratory response estimates at a stage in a project whese structural detail is not yet known. Moreover, SEA provides an approach to a number of vibration problems that cannot, from a practical viewpoint, be solved by classical methods. View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      Vibration of a Reentry Vehicle

      Lyon, R.
      Statistical Energy Analysis of Dynamical Systems:Theory and Applications

      Page(s): 317 - 363
      Copyright Year: 2003

      MIT Press eBook Chapters

      This chapter contains sections titled: Introduction, Modeling the Vehicle, Modal Density, Coupling Loss Factor, Prediction of the Vehicle Skin Vibration Levels, Vibration Levels of the Instrument Shelf, Confidence limits View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      References for Part II

      Lyon, R.
      Statistical Energy Analysis of Dynamical Systems:Theory and Applications

      Page(s): 365 - 368
      Copyright Year: 2003

      MIT Press eBook Chapters

      This is the first full exposition in print of a subject in whose development over the past fifteen years the author has been a prime participant. As an approach to the study of mechanical vibrations, statistical energy analysis (SEA) has found new applications and adherents with each passing year. The name SEA was coined to emphasize the essential feature of the approach: "Statistical" indicates that the dynamical systems under study are presumed to be drawn from statistical populations or ensembles in which the distribution of the parameters is known. "Energy" denotes the primary variable of interest. "Analysis" is used to underscore the fact that SEA is a general framework of methods rather than a particular technique.Vibration is a ubiquitous problem for mechanical engineers, especially those concerned with the design of aircraft, spacecraft launch vehicles, ships, and similar structures composed of such elements as plates and beams. SEA provides the designer with a method for estimating the response characteristics of such structures to vibratory excitations, from which he can predict the potential for structural fatigue, component failure, and human discomfort caused by noise or excessive vibration levels. SEA is particularly appropriate in applications involving relatively large and lightweight structures, such as those designed for aerospace use. These statistical models are also helpful to mechanical designers who are charged with making environmental and vibratory response estimates at a stage in a project whese structural detail is not yet known. Moreover, SEA provides an approach to a number of vibration problems that cannot, from a practical viewpoint, be solved by classical methods. View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      Glossary of Symbols

      Lyon, R.
      Statistical Energy Analysis of Dynamical Systems:Theory and Applications

      Page(s): 369 - 373
      Copyright Year: 2003

      MIT Press eBook Chapters

      This chapter contains sections titled: Variables and Parameters, Operators, Superscripts, Subscripts View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      Index

      Lyon, R.
      Statistical Energy Analysis of Dynamical Systems:Theory and Applications

      Page(s): 374 - 386
      Copyright Year: 2003

      MIT Press eBook Chapters

      This is the first full exposition in print of a subject in whose development over the past fifteen years the author has been a prime participant. As an approach to the study of mechanical vibrations, statistical energy analysis (SEA) has found new applications and adherents with each passing year. The name SEA was coined to emphasize the essential feature of the approach: "Statistical" indicates that the dynamical systems under study are presumed to be drawn from statistical populations or ensembles in which the distribution of the parameters is known. "Energy" denotes the primary variable of interest. "Analysis" is used to underscore the fact that SEA is a general framework of methods rather than a particular technique.Vibration is a ubiquitous problem for mechanical engineers, especially those concerned with the design of aircraft, spacecraft launch vehicles, ships, and similar structures composed of such elements as plates and beams. SEA provides the designer with a method for estimating the response characteristics of such structures to vibratory excitations, from which he can predict the potential for structural fatigue, component failure, and human discomfort caused by noise or excessive vibration levels. SEA is particularly appropriate in applications involving relatively large and lightweight structures, such as those designed for aerospace use. These statistical models are also helpful to mechanical designers who are charged with making environmental and vibratory response estimates at a stage in a project whese structural detail is not yet known. Moreover, SEA provides an approach to a number of vibration problems that cannot, from a practical viewpoint, be solved by classical methods. View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      Author Index

      Lyon, R.
      Statistical Energy Analysis of Dynamical Systems:Theory and Applications

      Page(s): 387 - 388
      Copyright Year: 2003

      MIT Press eBook Chapters

      This is the first full exposition in print of a subject in whose development over the past fifteen years the author has been a prime participant. As an approach to the study of mechanical vibrations, statistical energy analysis (SEA) has found new applications and adherents with each passing year. The name SEA was coined to emphasize the essential feature of the approach: "Statistical" indicates that the dynamical systems under study are presumed to be drawn from statistical populations or ensembles in which the distribution of the parameters is known. "Energy" denotes the primary variable of interest. "Analysis" is used to underscore the fact that SEA is a general framework of methods rather than a particular technique.Vibration is a ubiquitous problem for mechanical engineers, especially those concerned with the design of aircraft, spacecraft launch vehicles, ships, and similar structures composed of such elements as plates and beams. SEA provides the designer with a method for estimating the response characteristics of such structures to vibratory excitations, from which he can predict the potential for structural fatigue, component failure, and human discomfort caused by noise or excessive vibration levels. SEA is particularly appropriate in applications involving relatively large and lightweight structures, such as those designed for aerospace use. These statistical models are also helpful to mechanical designers who are charged with making environmental and vibratory response estimates at a stage in a project whese structural detail is not yet known. Moreover, SEA provides an approach to a number of vibration problems that cannot, from a practical viewpoint, be solved by classical methods. View full abstract»




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