| Document Type
|
:
|
BL
|
| Record Number
|
:
|
662764
|
| Doc. No
|
:
|
dltt
|
| Main Entry
|
:
|
El Hami, Abdelkhalak
|
| Title & Author
|
:
|
Stochastic dynamics of structures /\ Abdelkhalak El Hami, Bouchaib Radi
|
| Series Statement
|
:
|
Mathematical and mechanical engineering set ;; volume 2
|
| Page. NO
|
:
|
1 online resource.
|
| ISBN
|
:
|
9781119377610
|
|
|
:
|
: 1119377617
|
|
|
:
|
9781848219496
|
|
|
:
|
: 9781119377672
|
|
|
:
|
: 1119377676
|
| Bibliographies/Indexes
|
:
|
Includes bibliographical references and index
|
| 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
|
| 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 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 constantly improve structural design techniques
|
| Subject
|
:
|
Dynamics.
|
| Subject
|
:
|
Stochastic processes.
|
| Dewey Classification
|
:
|
620.1054
|
| LC Classification
|
:
|
QA845
|
| Added Entry
|
:
|
Radi, Bouchaïb
|
| Added Entry
|
:
|
Ohio Library and Information Network.
|