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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | (OCoLC)962005600 |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Abdelkhalak El Hami; Bouchaïb Radi |

ISBN: | 9781119332275 1119332273 9781119427346 1119427347 9781119427315 1119427312 |

OCLC Number: | 994221175 |

Description: | 1 online resource. |

Contents: | 3.2.5. The [theta] Wilson method3.2.6. Modal analysis of the sandwich beam; 4. Introduction to Nonlinear Dynamic Analysis; 4.1. Introduction; 4.2. Linear systems; 4.2.1. Generalities; 4.2.2. Simple examples of large displacements; 4.2.3. Simple example of a variable; 4.2.4. Simple example of dry friction; 4.2.5. Material nonlinearties; 4.3. The nonlinear 1 DOF system; 4.3.1. Generalities; 4.3.2. Movement without non-dampened excitation; 4.3.3. Case of a stiffness in the form [kappa] (1 + [mu]x2); 4.3.4. Movement with non-dampened excitation; 4.3.5. Movement with dampened excitation Cover; Half-Title Page; Title Page; Copyright Page; Contents; Preface; 1. Introduction to Inverse Methods; 1.1. Introduction; 1.2. Identification methods; 1.3. Identification of the strain hardening law; 1.3.1. Example of an application; 1.3.2. Validation test; 1.3.3. Hydroforming a welded tube; 2. Linear Differential Equation Systems of the First Order with Constant Coefficients: Application in Mechanical Engineering; 2.1. Introduction; 2.2. Modeling dissipative systems; 2.2.1. Intrinsic solutions of autonomous systems; 2.2.2. Intrinsic solutions 2.2.3. Intrinsic solutions of the adjoining system2.2.4. Relation between the intrinsic solutions of s and s*; 2.2.5. Relation between modal matrices X and X*; 2.3. Autonomous system general solution; 2.3.1. Direct solution by using the exponential matrix; 2.3.2. Indirect solution by modal transformation; 2.4. General solution of the complete equation; 2.4.1. Direct solution by the exponential matrix; 2.4.2. Indirect solution by modal transformation; 2.4.3. General solution in the particular case of harmonic excitation; 2.5. Applications to mechanical structures 2.5.1. Discrete mechanical structure at n degrees of freedom, linear, regular and non-dissipative2.5.2. Discrete mechanical structure at n DOF, linear, regular and dissipative; 2.5.3. Intrinsic vector norm; 2.5.4. Particular solution of the system with a harmonic force; 2.6. Inverse problems: expressions of the M, B, K matrices according to the intrinsic solutions; 3. Introduction to Linear Structure Dynamics; 3.1. Introduction; 3.2. Problems in structure dynamics; 3.2.1. Finite elements method; 3.2.2. Modal superposition method; 3.2.3. Direct integration; 3.2.4. Newmark method 4.4. Nonlinear N DOF systems4.4.1. Generalities; 4.4.2. Nonlinear connection with periodic movement; 4.4.3. Direct integration of the equations; 5. Condensation Methods Applied to Eigen Value Problems; 5.1. Introduction; 5.2. Mathematical generality: matrix transformation; 5.3. Dynamic condensation methods; 5.4. Guyan condensation; 5.5. Rayleigh-Ritz method; 5.6. Case of a temporary problem; 5.6.1. Simplification with a full modal basis; 6. Linear Substructure Approach for Dynamic Analysis; 6.1. Generalities; 6.2. Different types of Ritz vectors |

Series Title: | Mathematical and mechanical engineering set, v. 5. |

Responsibility: | Abdelkhalak El Hami, Bouchaib Radi. |

### Abstract:

This book deals with the various aspects of stochastic dynamics, the resolution of large mechanical systems, and inverse problems. It integrates the most recent ideas from research and industry in the field of stochastic dynamics and optimization in structural mechanics over 11 chapters. These chapters provide an update on the various tools for dealing with uncertainties, stochastic dynamics, reliability and optimization of systems. The optimization-reliability coupling in structures dynamics is approached in order to take into account the uncertainties in the modeling and the resolution of the problems encountered.Accompanied by detailed examples of uncertainties, optimization, reliability, and model reduction, this book presents the newest design tools. It is intended for students and engineers and is a valuable support for practicing engineers and teacher-researchers.

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