Computational Methods for the Identification of Spatially Varying Stiffness and Damping in Beams

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ISBN 13 :
Total Pages : 48 pages
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Book Synopsis Computational Methods for the Identification of Spatially Varying Stiffness and Damping in Beams by : Harvey Thomas Banks

Download or read book Computational Methods for the Identification of Spatially Varying Stiffness and Damping in Beams written by Harvey Thomas Banks and published by . This book was released on 1986 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Methods for the Identification of Spatially Varying Stiffness and Damping in Beams

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ISBN 13 :
Total Pages : 48 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Computational Methods for the Identification of Spatially Varying Stiffness and Damping in Beams by : H. T. Banks

Download or read book Computational Methods for the Identification of Spatially Varying Stiffness and Damping in Beams written by H. T. Banks and published by . This book was released on 1986 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: A numerical approximation scheme for the estimation of functional parameters in Euler-Bernoulli models for the transverse vibration of flexible beams with tip bodies is developed. The method permits the identification of spatially varying flexural stiffness and Voigt-Kelvin viscoelastic damping coefficients which appear in the hybrid system of ordinary and partial differential equations and boundary conditions describing the dynamics of such structures. An inverse problem is formulated as a least squares fit to data subject to constraints in the form of a vector system of abstract first order evolution equations. Spline-based finite element approximations are used to finite dimensionalize the problem. Theoretical convergence results are given and numerical studies carried out on both conventional (serial) and vector computers are discussed. Keywords: Mathematical models; Dynamic loads.

Scientific and Technical Aerospace Reports

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ISBN 13 :
Total Pages : 702 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computation and Applied Mathematics

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ISBN 13 :
Total Pages : 88 pages
Book Rating : 4./5 ( download)

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Book Synopsis Computation and Applied Mathematics by :

Download or read book Computation and Applied Mathematics written by and published by . This book was released on 1989 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Information Output of the Langley Research Center for Calendar Year 1986

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ISBN 13 :
Total Pages : 270 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Scientific and Technical Information Output of the Langley Research Center for Calendar Year 1986 by : Langley Research Center. Research Information and Applications Division

Download or read book Scientific and Technical Information Output of the Langley Research Center for Calendar Year 1986 written by Langley Research Center. Research Information and Applications Division and published by . This book was released on 1987 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Technical Reports Awareness Circular : TRAC.

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ISBN 13 :
Total Pages : 520 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Technical Reports Awareness Circular : TRAC. by :

Download or read book Technical Reports Awareness Circular : TRAC. written by and published by . This book was released on 1987 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:

SIAM Journal on Control and Optimization

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ISBN 13 :
Total Pages : 826 pages
Book Rating : 4.3/5 (97 download)

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Book Synopsis SIAM Journal on Control and Optimization by : Society for Industrial and Applied Mathematics

Download or read book SIAM Journal on Control and Optimization written by Society for Industrial and Applied Mathematics and published by . This book was released on 1976 with total page 826 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains research articles on the mathematics and applications of control theory and on those parts of optimization theory concerned with the dynamics of deterministic or stochastic systems in continuous or discrete time or otherwise dealing with differential equations, dynamics, infinite-dimensional spaces, or fundamental issues in variational analysis and geometry.

Estimation Techniques for Distributed Parameter Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1461237009
Total Pages : 328 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Estimation Techniques for Distributed Parameter Systems by : H.T. Banks

Download or read book Estimation Techniques for Distributed Parameter Systems written by H.T. Banks and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The research detailed in this monograph was originally motivated by our interest in control problems involving partial and delay differential equations. Our attempts to apply control theory techniques to such prob lems in several areas of science convinced us that in the need for better and more detailed models of distributed/ continuum processes in biology and mechanics lay a rich, interesting, and challenging class of fundamen tal questions. These questions, which involve science and mathematics, are typical of those arising in inverse or parameter estimation problems. Our efforts on inverse problems for distributed parameter systems, which are infinite dimensional in the most common realizations, began about seven years ago at a time when rapid advances in computing capabilities and availability held promise for significant progress in the development of a practically useful as well as theoretically sound methodology for such problems. Much of the research reported in our presentation was not begun when we outlined the plans for this monograph some years ago. By publishing this monograph now, when only a part of the originally intended topics are covered (see Chapter VII in this respect), we hope to stimulate the research and interest of others in an area of scientific en deavor which has exceeded even our optimistic expectations with respect to excitement, opportunity, and stimulation. The computer revolution alluded to above and the development of new codes allow one to solve rather routinely certain estimation problems that would have been out of the question ten years ago.

Computation and Applied Mathematics

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ISBN 13 :
Total Pages : 114 pages
Book Rating : 4./5 ( download)

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Book Synopsis Computation and Applied Mathematics by :

Download or read book Computation and Applied Mathematics written by and published by . This book was released on 1986 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Inverse Problems and Related Topics

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Publisher : CRC Press
ISBN 13 : 9781584881919
Total Pages : 268 pages
Book Rating : 4.8/5 (819 download)

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Book Synopsis Inverse Problems and Related Topics by : Gen Nakamura

Download or read book Inverse Problems and Related Topics written by Gen Nakamura and published by CRC Press. This book was released on 2000-02-28 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems arise in many disciplines and hold great importance to practical applications. However, sound new methods are needed to solve these problems. Over the past few years, Japanese and Korean mathematicians have obtained a number of very interesting and unique results in inverse problems. Inverse Problems and Related Topics compiles papers authored by some of the top researchers in Korea and Japan. It presents a number of original and useful results and offers a unique opportunity to explore the current trends of research in inverse problems in these countries. Highlighting the existence and active work of several Japanese and Korean groups, it also serves as a guide to those seeking future scientific exchange with researchers in these countries.

Cumulative Reports and Publications Through December 31, 1991

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ISBN 13 :
Total Pages : 92 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Cumulative Reports and Publications Through December 31, 1991 by :

Download or read book Cumulative Reports and Publications Through December 31, 1991 written by and published by . This book was released on 1992 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Cumulative Reports and Publications Through December 31, 1988

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ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Cumulative Reports and Publications Through December 31, 1988 by :

Download or read book Cumulative Reports and Publications Through December 31, 1988 written by and published by . This book was released on 1989 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Cumulative Reports and Publications Through December 31, 1989

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ISBN 13 :
Total Pages : 76 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Cumulative Reports and Publications Through December 31, 1989 by :

Download or read book Cumulative Reports and Publications Through December 31, 1989 written by and published by . This book was released on 1990 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Numerical Algorithm for Optimal Feedback Gains in High Dimensional LQR Problems

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ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis A Numerical Algorithm for Optimal Feedback Gains in High Dimensional LQR Problems by : H. T. Banks

Download or read book A Numerical Algorithm for Optimal Feedback Gains in High Dimensional LQR Problems written by H. T. Banks and published by . This book was released on 1986 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors a hybrid method for computing the feedback gains in linear quadratic regulator (LQR) problems. The method, which combines use of a Chandrasekhar type system with an iteration of the Newton-Kleinman form with variable acceleration parameter Smith schemes, is formulated so as to efficiently compute directly the feedback gains rather than solutions of an associated Riccati equation. The hybrid method is particularly appropriate when used with large dimensional systems such as those arising in approximating infinite dimensional (distributed parameter) control systems (e.g., those governed by delay-differential and partial differential equations). Computational advantages of our proposed algorithm over the standard eigenvector (Potter, Laub-Schur) based techniques are discussed and numerical evidence of the efficacy of our ideas presented. (Author).

A Numerical Algorithm for Optimal Feedback Gains in High Dimensional LQR Problems

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ISBN 13 :
Total Pages : 36 pages
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Book Synopsis A Numerical Algorithm for Optimal Feedback Gains in High Dimensional LQR Problems by : Harvey Thomas Banks

Download or read book A Numerical Algorithm for Optimal Feedback Gains in High Dimensional LQR Problems written by Harvey Thomas Banks and published by . This book was released on 1986 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Cumulative Reports and Publications Through December 31, 1990

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ISBN 13 :
Total Pages : 84 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Cumulative Reports and Publications Through December 31, 1990 by :

Download or read book Cumulative Reports and Publications Through December 31, 1990 written by and published by . This book was released on 1991 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Approximation Theory for the Identification of Nonlinear Distributed Parameter Systems

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ISBN 13 :
Total Pages : 74 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis An Approximation Theory for the Identification of Nonlinear Distributed Parameter Systems by : H. T. Banks

Download or read book An Approximation Theory for the Identification of Nonlinear Distributed Parameter Systems written by H. T. Banks and published by . This book was released on 1988 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: An abstract approximation framework for the identification of nonlinear distributed parameter systems is developed. Inverse problems for nonlinear systems governed by strongly maximal monotone operators(satisfying a mild continuous dependence condition with respect to the unknown parameters to be identified)are treated. Convergence of Galerkin approximations and the corresponding solutions of finite dimensional approximating identification problems to a solution of the original infinite dimensional identification problem is demonstrated using the theory of nonlinear evolution systems and a nonlinear analog of the Trotter-Kato approximation result for semigroups of bounded linear operators. The nonlinear theory developed here is shown to subsume an existing linear theory as a special case. It is also shown to be applicable to a broad class of nonlinear elliptic operators and the corresponding nonlinear parabolic partial differential equations to which they lead. An application of the theory to a quasilinear model for heat conduction or mass transfer is discussed. Keywords: Nonlinear distributed systems; Numerical analysis; Inverse problems; Approximation. (jhd).