Completing the Solution of Partially Specified Problems
E-Book, Englisch, 438 Seiten, E-Book
ISBN: 978-0-470-86157-8
Verlag: John Wiley & Sons
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
There are two main types of stress analyses - the first isconceptual where the structure does not yet exist and the analysthas more freedom to define geometry, materials, loads etc -generally such analysis is undertaken using numerical methods suchas the finite element method. The second is where thestructure (or a prototype) exists, and so some parameters areknown. Others though, such as wind loading or environmentalconditions will not be completely known and yet may profoundlyaffect the structure. These problems are generally handled byan ad hoc combination of experimental and analytical methods.
This book therefore tackles one of the most common challengesfacing engineers - how to solve a stress analysis problemwhen all of the required information is not available. Itscentral concern is to establish formal methods for includingmeasurements as part of the complete analysis of such problems bypresenting a new approach to the processing of experimental dataand thus to experimentation itself. In addition, engineersusing finite element methods will be able to extend the range ofproblems they can solve (and thereby the range of applications theycan address) using the methods developed here.
Modern Experimental Stress Analysis:
* Presents a comprehensive and modern reformulation of theapproach to processing experimental data
* Offers a large collection of problems ranging from static todynamic, linear to non-linear
* Covers stress analysis with the finite element method
* Includes a wealth of documented experimental examples
* Provides new ideas for researchers in computationalmechanics
Autoren/Hrsg.
Weitere Infos & Material
Preface.
Notation.
Introduction.
1 Finite Element Methods.
1.1 Deformation and Strain.
1.2 Tractions and Stresses.
1.3 Governing Equations of Motion.
1.4 Material Behavior.
1.5 The Finite Element Method.
1.6 Some Finite Element Discretizations.
1.7 Dynamic Considerations.
1.8 Geometrically Nonlinear Problems.
1.9 Nonlinear Materials.
2 Experimental Methods.
2.1 Electrical Filter Circuits.
2.2 Digital Recording and Manipulation of Signals.
2.3 Electrical Resistance Strain Gages.
2.4 Strain Gage Circuits.
2.5 Motion and Force Transducers.
2.6 Digital Recording and Analysis of Images.
2.7 Moiré Analysis of Displacement.
2.8 Holographic Interferometry.
2.9 Photoelasticity.
3 Inverse Methods 171
3.1 Analysis of Experimental Data.
3.2 Parametric Modeling of Data.
3.3 Parameter Identification with Extrapolation.
3.4 Identification of Implicit Parameters.
3.5 Inverse Theory for Ill-Conditioned Problems.
3.6 Some Regularization Forms.
3.7 Relocation of Data onto a Grid Pattern.
3.8 Discussion.
4 Static Problems 219
4.1 Force Identification Problems.
4.2 Whole-Field Displacement Data.
4.3 Strain Gages.
4.4 Traction Distributions.
4.5 Nonlinear Data Relations.
4.6 Parameter Identification Problems.
4.7 Choosing the Parameterization.
4.8 Discussion.
5 Transient Problems with Time Data.
5.1 The Essential Difficulty.
5.2 Deconvolution using Sensitivity Responses.
5.3 Experimental Studies.
5.4 Scalability Issues: Recursive Formulation.
5.5 The One-Sided Hopkinson Bar.
5.6 Identifying Localized Stiffness and Mass.
5.7 Implicit Parameter Identification.
5.8 Force Location Problems.
5.9 Discussion.
6 Transient Problems with Space Data.
6.1 Space-Time Deconvolution.
6.2 Preliminary Metrics.
6.3 Traction Distributions.
6.4 Dynamic Photoelasticity.
6.5 Identification Problems.
6.6 Force Location for a Shell Segment.
6.7 Discussion.
7 Nonlinear Problems.
7.1 Static Inverse Method.
7.2 Nonlinear Structural Dynamics.
7.3 Nonlinear Elastic Behavior.
7.4 Elastic-Plastic Materials.
7.5 Nonlinear Parameter Identification.
7.6 Dynamics of Cracks.
7.7 Highly Instrumented Structures.
7.8 Discussion.
Afterword.
References.
Index.
