The Resource Dynamical Inverse Problems: Theory and Application, edited by Graham M. L. Gladwell, Antonino Morassi, (electronic resource)

Dynamical Inverse Problems: Theory and Application, edited by Graham M. L. Gladwell, Antonino Morassi, (electronic resource)

Label
Dynamical Inverse Problems: Theory and Application
Title
Dynamical Inverse Problems: Theory and Application
Statement of responsibility
edited by Graham M. L. Gladwell, Antonino Morassi
Contributor
Editor
Editor
Subject
Language
  • eng
  • eng
Summary
The papers in this volume present an overview of the gerneral aspects and practical applications of dynamic inverse methods, through the interaction of several topics, ranging from classical and advanced inverse problems in vibration, isospectral systems, dynamic methods for structural identification, active vibration control and damage detection, imaging shear stiffness in biological tissues, wave propagation, to computational and experimental aspects relevant for engineering problems
Member of
Is Subseries of
Dewey number
531.01515357
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt
  • 6MCxQOb41Z0
  • tkXLjeGUhgM
Language note
English
LC call number
  • TA355
  • TA352-356
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • International Centre for Mechanical Sciences
  • Gladwell, Graham M. L.
  • Morassi, Antonino.
Series statement
CISM International Centre for Mechanical Sciences, Courses and Lectures,
Series volume
529
http://library.link/vocab/subjectName
  • Vibration
  • Civil engineering
  • Systems theory
  • Differentiable dynamical systems
  • Vibration, Dynamical Systems, Control
  • Civil Engineering
  • Systems Theory, Control
  • Dynamical Systems and Ergodic Theory
Label
Dynamical Inverse Problems: Theory and Application, edited by Graham M. L. Gladwell, Antonino Morassi, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
  • Title Page; Copyright Page; PREFACE; Table of Contents; Matrix Inverse Eigenvalue Problems; 1 Lecture 1. Classical Inverse Problems; 1.1 Introduction; 1.2 The Rayleigh Quotient; 1.3 Inverse Problems for a Jacobian Matrix; 2 Lecture 2. Applications and Extensions; 2.1 A Minimal Mass Problem; 2.2 Another Spring-Mass Inverse Problem; 2.3 Inverse Problems for a Pentadiagonal Matrix; 2.4 Periodic Jacobi Matrices; 2.5 Graph Theory; 3 Lecture 3. Isospectral Systems; 3.1 Reversing Factors; 3.2 The QR Algorithm; 3.3 Positivity; 4 Lecture 4. Toda Flow; 4.1 The Basic Equations
  • 4.2 Application of Toda FlowBibliography; An Introduction to Classical Inverse Eigenvalue Problems; 1 Introduction; 2 Properties of the Dirichlet Eigenvalue Problem; 3 Uniqueness Results: the Borg's Approach; 3.1 Symmetric Potential and Dirichlet Boundary Conditions; 3.2 Symmetric Potential and Neumann Boundary Conditions; 3.3 Generic L2 Potential; 4 Uniqueness Towards Stability; 4.1 Hochstadt's Formula; 4.2 A Local Stability Result; 5 A Local Existence Result; 6 An Euler-Bernoulli Inverse Eigenvalue Problem; Bibliography
  • A Least Squares Functional for Solving Inverse Sturm-Liouville Problems1 Inverse Problems with Least Squares; 1.1 Gradient Flow; 2 The Inverse Sturm-Liouville Problem; 2.1 Examples; 3 Recovering boundary conditions; 3.1 Examples; 4 Theory; 4.1 Manifolds; 4.2 From the Wronskian to a Scalar Product; 4.3 Linear Independence of the Eigenfunctions; 4.4 Exponential Convergence; 4.5 Other spectral Data; 4.6 Isospectral Manifolds; 5 Similar Algorithms; Bibliography; Boundary Control Method in Dynamical Inverse Problems - An Introductory Course; 1 Introduction; 1.1 About the paper
  • 1.2 Comment, notation, convention1.3 Acknowledgements; 2 Forward problem; 2.1 Statement; 2.2 Integral equation and generalized solutions; 2.3 Fundamental solution; 2.4 Properties of waves; 2.5 Extended problem 1 and locality; 3 String as dynamical system; 3.1 System αT; 3.2 Controllability; 3.3 Wave basis; 3.4 Truncation; 3.5 Amplitude formula; 3.6 Special BCP; 3.7 Gelfand-Levitan-Krein equations; 4 Inverse Problem; 4.1 Statement; 4.2 Solving inverse problem; 4.3 Visualization of waves; APPENDIX; 5 Forward problem; 5.1 Statement; 5.2 Integral equation and generalized solutions
  • 5.3 Fundamental solution5.4 Properties of waves; 5.5 Extended problem 1 and locality; 5.6 Matrix reply function; 5.7 Slow waves; 6 Beam as dynamical system; 6.1 System αT; 6.2 Controllability; 6.3 Wave basis; 6.4 Truncation and AF; 6.5 Special BCP; 7 Inverse Problem; 7.1 Statement; 7.2 Solving the inverse problem; 7.3 Visualization of waves; 7.4 Finite beam; 7.5 Comments and remarks; Bibliography; Dynamic Characterization and Damage Identification; 1 Introduction; 2 Identification of Modal Parameters; 2.1 Frequency Response Function Method; 2.2 Peak Picking; 2.3 Singular Value Decomposition
  • 2.4 The S. Sisto School
Dimensions
unknown
Edition
1st ed. 2011.
Extent
1 online resource (228 p.)
Form of item
online
Isbn
9783709106969
Media category
computer
Media type code
c
Other control number
10.1007/978-3-7091-0696-9
Specific material designation
remote
System control number
  • (CKB)2670000000084048
  • (EBL)763429
  • (OCoLC)742512966
  • (SSID)ssj0000536027
  • (PQKBManifestationID)11371183
  • (PQKBTitleCode)TC0000536027
  • (PQKBWorkID)10547082
  • (PQKB)10092065
  • (DE-He213)978-3-7091-0696-9
  • (MiAaPQ)EBC763429
  • (EXLCZ)992670000000084048
Label
Dynamical Inverse Problems: Theory and Application, edited by Graham M. L. Gladwell, Antonino Morassi, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
  • Title Page; Copyright Page; PREFACE; Table of Contents; Matrix Inverse Eigenvalue Problems; 1 Lecture 1. Classical Inverse Problems; 1.1 Introduction; 1.2 The Rayleigh Quotient; 1.3 Inverse Problems for a Jacobian Matrix; 2 Lecture 2. Applications and Extensions; 2.1 A Minimal Mass Problem; 2.2 Another Spring-Mass Inverse Problem; 2.3 Inverse Problems for a Pentadiagonal Matrix; 2.4 Periodic Jacobi Matrices; 2.5 Graph Theory; 3 Lecture 3. Isospectral Systems; 3.1 Reversing Factors; 3.2 The QR Algorithm; 3.3 Positivity; 4 Lecture 4. Toda Flow; 4.1 The Basic Equations
  • 4.2 Application of Toda FlowBibliography; An Introduction to Classical Inverse Eigenvalue Problems; 1 Introduction; 2 Properties of the Dirichlet Eigenvalue Problem; 3 Uniqueness Results: the Borg's Approach; 3.1 Symmetric Potential and Dirichlet Boundary Conditions; 3.2 Symmetric Potential and Neumann Boundary Conditions; 3.3 Generic L2 Potential; 4 Uniqueness Towards Stability; 4.1 Hochstadt's Formula; 4.2 A Local Stability Result; 5 A Local Existence Result; 6 An Euler-Bernoulli Inverse Eigenvalue Problem; Bibliography
  • A Least Squares Functional for Solving Inverse Sturm-Liouville Problems1 Inverse Problems with Least Squares; 1.1 Gradient Flow; 2 The Inverse Sturm-Liouville Problem; 2.1 Examples; 3 Recovering boundary conditions; 3.1 Examples; 4 Theory; 4.1 Manifolds; 4.2 From the Wronskian to a Scalar Product; 4.3 Linear Independence of the Eigenfunctions; 4.4 Exponential Convergence; 4.5 Other spectral Data; 4.6 Isospectral Manifolds; 5 Similar Algorithms; Bibliography; Boundary Control Method in Dynamical Inverse Problems - An Introductory Course; 1 Introduction; 1.1 About the paper
  • 1.2 Comment, notation, convention1.3 Acknowledgements; 2 Forward problem; 2.1 Statement; 2.2 Integral equation and generalized solutions; 2.3 Fundamental solution; 2.4 Properties of waves; 2.5 Extended problem 1 and locality; 3 String as dynamical system; 3.1 System αT; 3.2 Controllability; 3.3 Wave basis; 3.4 Truncation; 3.5 Amplitude formula; 3.6 Special BCP; 3.7 Gelfand-Levitan-Krein equations; 4 Inverse Problem; 4.1 Statement; 4.2 Solving inverse problem; 4.3 Visualization of waves; APPENDIX; 5 Forward problem; 5.1 Statement; 5.2 Integral equation and generalized solutions
  • 5.3 Fundamental solution5.4 Properties of waves; 5.5 Extended problem 1 and locality; 5.6 Matrix reply function; 5.7 Slow waves; 6 Beam as dynamical system; 6.1 System αT; 6.2 Controllability; 6.3 Wave basis; 6.4 Truncation and AF; 6.5 Special BCP; 7 Inverse Problem; 7.1 Statement; 7.2 Solving the inverse problem; 7.3 Visualization of waves; 7.4 Finite beam; 7.5 Comments and remarks; Bibliography; Dynamic Characterization and Damage Identification; 1 Introduction; 2 Identification of Modal Parameters; 2.1 Frequency Response Function Method; 2.2 Peak Picking; 2.3 Singular Value Decomposition
  • 2.4 The S. Sisto School
Dimensions
unknown
Edition
1st ed. 2011.
Extent
1 online resource (228 p.)
Form of item
online
Isbn
9783709106969
Media category
computer
Media type code
c
Other control number
10.1007/978-3-7091-0696-9
Specific material designation
remote
System control number
  • (CKB)2670000000084048
  • (EBL)763429
  • (OCoLC)742512966
  • (SSID)ssj0000536027
  • (PQKBManifestationID)11371183
  • (PQKBTitleCode)TC0000536027
  • (PQKBWorkID)10547082
  • (PQKB)10092065
  • (DE-He213)978-3-7091-0696-9
  • (MiAaPQ)EBC763429
  • (EXLCZ)992670000000084048

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