عنوان

Practical Inverse Analysis in Engineering (1997) /

0203710959

1351359150

1351359169

9780203710951

9781351359153

9781351359160

1138105686

9781138105683

Practical Inverse Analysis in Engineering (1997) /

[Book]

editors, Busby, Henry R.

First edition.

Boca Raton, FL :

CRC Press,

2017.

1 online resource :

text file, PDF

CRC Press Revivals

Cover; Half Title; Title Page; Copyright Page; Dedication; Contents; Chapter 1 Dynamic Programming; 1.1 Introduction; 1.2 The Simplest Example; 1.3 Bellman's Principle of Optimality; 1.4 First-Order Dynamic System; 1.5 General Multidimensional System; 1.5.1 Optimal Initial Conditions; 1.5.2 Simple Multidimensional System; 1.5.3 Principle of Superposition; 1.6 Optimal Control as a Multistage Decision Process; Chapter 2 Matrices and Differential Equations; 2.1 Introduction; 2.2 Vector-Matrix Calculus; 2.2.1 Eigenvectors and Eigenvalues; 2.3 The Exponential Matrix; 2.3.1 First-Order System.

2.3.2 Multi-Degree-of-Freedom System2.3.3 Reduction of Higher-Order Systems; 2.3.4 Numerical Example; 2.4 Approximations to the Exponential Matrix; 2.4.1 Padé Approximations; 2.4.2 Structural Dynamics; 2.5 Eigenvalue Reduction; Chapter 3 The General Inverse Problem; 3.1 Introduction; 3.2 Generalized Cross Validation; 3.3 Dynamic Programming and Generalized Cross Validation; 3.4 Chandrasekhar Equations; Chapter 4 The Inverse Heat Conduction Problem; 4.1 Introduction; 4.2 One-Dimensional Example; 4.2.1 Quenching Curves; 4.2.2 Generalized Cross Validation Example; 4.3 Two-Dimensional Example.

4.3.1 Chebyshev Polynomials4.4 Eigenvalue Reduction Technique; 4.5 L-Curve Analysis; Chapter 5 The Inverse Structural Dynamics Problem; 5.1 Introduction; 5.2 Single-Degree-of-Freedom; 5.3 Cantilever Beam Problem; 5.4 Two-Dimensional Plate Problem; Chapter 6 Smoothing and Differentiating Noisy Data; 6.1 Introduction; 6.2 Polynomial Approximation; 6.3 Filtering a 60 Hz Signal; 6.4 Frequency Analysis; 6.5 Two-Dimensional Smoothing; Chapter 7 Nonlinear Systems; 7.1 Introduction; 7.2 Linearization Methods; 7.3 Nonlinear Inverse Heat Conduction; 7.3.1 One-Dimensional Example.

7.3.2 Two-Dimensional Examples7.4 Nonlinear Spring Example; 7.5 Successive Approximation in Policy Space; 7.5.1 Formulation; 7.5.2 Application to Nonlinear Systems; 7.5.3 Nonlinear Spring Example; Chapter 8 Sequential Estimation and System Identification; 8.1 Introduction; 8.2 Sequential Estimation; 8.2.1 Simplest Case; 8.2.2 General Scalar Case; 8.2.3 Example; 8.3 Multidimensional Sequential Estimation; 8.3.1 Application to Nonlinear Systems; 8.3.2 Example; 8.4 Extended Levenberg-Marquardt's Method; 8.4.1 Sequential Estimation; 8.4.2 Calculation of the Jacobian; Bibliography.

Appendix A: DYNAVAL â#x80;#x94; A Computer Program for the Solution of the General Inverse Problem Using Dynamic Programming and Generalized Cross ValidationIndex.

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"Continuing advances in computer technology have made it possible for engineers and scientists to construct increasingly realistic models of physical processes. Practical Inverse Analysis in Engineering addresses an important area of engineering that will become even more significant to engineers and scientists - combining measurements with engineering models. This self-contained text presents applied mathematical tools for bridging the gap between real-world measurements and mathematical models. The book demonstrates how to treat "ill-conditioned" inverse analysis problems - those problems where the solution is extremely sensitive to the data - with the powerful theory of dynamic programming. A second theory, generalized-cross-validation, is also discussed as a useful partner in handling real data. The material in the book, much of it published for the first time, presents theories in a general unified setting, so readers can apply the information to their models. A disk containing DYNAVAL programming software lets readers try the methods presented in the text."--Provided by publisher.

Ingram Content Group

9781351359153

9781351359153

Dynamic programming.

Engineering-- Mathematical models-- Data processing.

Dynamic programming.

Engineering-- Mathematical models-- Data processing.

MAT003000

TEC009070

Trujillo, David M

Busby, Henry R

20200822093836.0

pn

[Book]

Y