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Stochastic dynamics of structures

Author: Abdelkhalak El Hami; Bouchaïb Radi
Publisher: London, UK : ISTE, Ltd. ; Hoboken, NJ : Wiley, 2016.
Series: Mathematical and mechanical engineering set, volume 2.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book is dedicated to the general study of the dynamics of mechanical structures with consideration of uncertainties. The goal is to get the appropriate forms of a part in minimizing a given criterion. In all fields of structural mechanics, the impact of good design of a room is very important to its strength, its life and its use in service. The development of the engineer's art requires considerable effort to  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
El Hami, Abdelkhalak.
Stochastic dynamics of structures.
London, England ; Hoboken, New Jersey : ISTE : Wiley, c2016
xiii, 329 pages
2016950151
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Abdelkhalak El Hami; Bouchaïb Radi
ISBN: 9781119377610 1119377617 9781119377672 1119377676 9781119377658 111937765X
OCLC Number: 964526295
Description: 1 online resource.
Contents: Cover ; Title Page ; Copyright ; Contents ; Preface; 1. Introduction to Structural Dynamics; 1.1. Composition of problems relating to dynamic structures; 1.1.1. Finite element method; 1.1.2. Modal superposition method; 1.1.3. Direct integration; 1.2. Structural optimization; 1.2.1. Design optimization; 1.2.2. Shape optimization; 1.2.3. Topological optimization; 1.2.4. Definitions and formulation of an optimization problem ; 1.3. Structures with uncertain parameters; 1.3.1. Monte Carlo simulation; 1.3.2. Analytic method; 1.3.3. Stochastic finite element method; 1.3.4. Fluid logic method. 1.3.5. Reliability method1.3.6. Reliability optimization; 1.4. Conclusion; 2. Decoupled Systems; 2.1. Introduction; 2.2. Problems with structural dynamics; 2.2.1. Movement equation; 2.2.2. Hooke's law; 2.2.3. Variational formulation; 2.2.4. Estimation by finite elements; 2.2.5. Resolution in the frequency domain; 2.2.6. Solution in the temporal domain; 2.2.7. Reduction of the model; 2.3. Acoustic problems; 2.3.1. Wave equation: formulation pressure; 2.3.2. Variational formulation; 2.3.3. Estimation by finite elements; 2.3.4. Solution in the frequency domain; 2.3.5. Model fluid reduction. 2.4. Conclusion3. Coupled Systems; 3.1. Introduction; 3.2. Mathematical formulation; 3.2.1. Behavior equations; 3.2.2. Conditions for fluid-structure coupling; 3.3. Variational formulation; 3.4. Estimation by finite elements; 3.4.1. Estimation of unknown physical values; 3.4.2. Integration of variational forms; 3.5. Vibro-acoustic problem; 3.6. Hydro-elastic problem; 3.6.1. Calculation of the elementary matrix of the fluid-structure interaction; 3.6.2. Dynamic study; 3.7. Reduction of the model; 3.7.1. Modal superposition method for the paired system; 3.7.2. Direct calculation. 3.7.3. Calculation with modal reduction3.7.4. Modal synthesis method for paired systems; 3.7.5. Direct numerical calculation; 3.7.6. Numerical calculation with modal superposition; 3.8. Conclusion; 4. Reliability and Meshless Methods in Mechanics; 4.1. Introduction to non-networking methods; 4.2. Moving least squares; 4.2.1. Properties of MLS form function; 4.2.2. Base functions; 4.2.3. Weight functions; 4.3. Galarkin mesh-free method ; 4.4. Imposition of essential limiting conditions; 4.4.1. Variational principle modified with Lagrange multipliers. 4.4.2. Variational principle modified without Lagrange multipliers4.4.3. Variational principle with a charge; 4.4.4. Connection with meshing of finite elements; 4.5. Integration in the EFG method; 4.6. Description of EFG method algorithms; 5. Mechanical Systems with Uncertain Parameters; 5.1. Introduction; 5.2. Monte Carlo simulation; 5.3. Disturbance methods; 5.3.1. Expansion into a second-order Taylor series; 5.3.2. Muscolino distortion method; 5.3.3. Disturbance methods and modal reduction methods; 5.4. Projection onto polynomial chaos; 5.4.1. Moments of the response function in frequency.
Series Title: Mathematical and mechanical engineering set, volume 2.
Responsibility: Abdelkhalak El Hami, Bouchaib Radi.

Abstract:

This book is dedicated to the general study of the dynamics of mechanical structures with consideration of uncertainties. The goal is to get the appropriate forms of a part in minimizing a given  Read more...

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