Parameter Sensitivity in Nonlinear Mechanics

Parameter Sensitivity in Nonlinear Mechanics PDF Author: Michael Kleiber
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 432

Get Book Here

Book Description
There are various methods for the analysis and design of bodies subject to static and dynamic loadings in structural and solid mechanics. Sensitivity analysis is concerned with the relationship between parameters, describing the structure under consideration and the function describing the response of that structure under loading conditions. This book addresses the finite element computational techniques typical of sensitivity analysis for solid mechanics systems with any nonlinearity. It is an attempt to combine theoretical modelling techniques with effective computer implementation: besides the theory many suitable finite element codes have been developed by the authors and used for computing examples discussed in the text.

Parameter Sensitivity in Nonlinear Mechanics

Parameter Sensitivity in Nonlinear Mechanics PDF Author: Michael Kleiber
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 432

Get Book Here

Book Description
There are various methods for the analysis and design of bodies subject to static and dynamic loadings in structural and solid mechanics. Sensitivity analysis is concerned with the relationship between parameters, describing the structure under consideration and the function describing the response of that structure under loading conditions. This book addresses the finite element computational techniques typical of sensitivity analysis for solid mechanics systems with any nonlinearity. It is an attempt to combine theoretical modelling techniques with effective computer implementation: besides the theory many suitable finite element codes have been developed by the authors and used for computing examples discussed in the text.

Model Validation and Uncertainty Quantification, Volume 3

Model Validation and Uncertainty Quantification, Volume 3 PDF Author: H. Sezer Atamturktur
Publisher: Springer
ISBN: 3319152246
Category : Technology & Engineering
Languages : en
Pages : 361

Get Book Here

Book Description
Model Validation and Uncertainty Quantification, Volume 3. Proceedings of the 33rd IMAC, A Conference and Exposition on Balancing Simulation and Testing, 2015, the third volume of ten from the Conference brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Uncertainty Quantification & Model Validation Uncertainty Propagation in Structural Dynamics Bayesian & Markov Chain Monte Carlo Methods Practical Applications of MVUQ Advances in MVUQ & Model Updating

Computational Mechanics

Computational Mechanics PDF Author: M. W. Yuan
Publisher: 清华大学出版社有限公司
ISBN: 9787302093435
Category : Computer-aided design
Languages : en
Pages : 902

Get Book Here

Book Description


Stability and Optimization of Structures

Stability and Optimization of Structures PDF Author: Makoto Ohsaki
Publisher: Springer Science & Business Media
ISBN: 0387681841
Category : Technology & Engineering
Languages : en
Pages : 276

Get Book Here

Book Description
This book focuses on the optimization of a geometrically-nonlinear structure under stability constraint. It presents a deep insight into optimization-based and computer-assisted stability design of discrete structures. Coverage combines design sensitivity analysis developed in structural optimization and imperfection-sensitivity analysis developed in stability analysis.

Introduction to Nonlinear Thermomechanics of Solids

Introduction to Nonlinear Thermomechanics of Solids PDF Author: Michał Kleiber
Publisher: Springer
ISBN: 3319334557
Category : Science
Languages : en
Pages : 345

Get Book Here

Book Description
The first part of this textbook presents the mathematical background needed to precisely describe the basic problem of continuum thermomechanics. The book then concentrates on developing governing equations for the problem dealing in turn with the kinematics of material continuum, description of the state of stress, discussion of the fundamental conservation laws of underlying physics, formulation of initial-boundary value problems and presenting weak (variational) formulations. In the final part the crucial issue of developing techniques for solving specific problems of thermomechanics is addressed. To this aim the authors present a discretized formulation of the governing equations, discuss the fundamentals of the finite element method and develop some basic algorithms for solving algebraic and ordinary differential equations typical of problems on hand. Theoretical derivations are followed by carefully prepared computational exercises and solutions.

Mathematical Modeling and Optimization of Complex Structures

Mathematical Modeling and Optimization of Complex Structures PDF Author: Pekka Neittaanmäki
Publisher: Springer
ISBN: 3319235648
Category : Technology & Engineering
Languages : en
Pages : 337

Get Book Here

Book Description
This volume contains selected papers in three closely related areas: mathematical modeling in mechanics, numerical analysis, and optimization methods. The papers are based upon talks presented on the International Conference for Mathematical Modeling and Optimization in Mechanics, held in Jyväskylä, Finland, March 6-7, 2014 dedicated to Prof. N. Banichuk on the occasion of his 70th birthday. The articles are written by well-known scientists working in computational mechanics and in optimization of complicated technical models. Also, the volume contains papers discussing the historical development, the state of the art, new ideas, and open problems arising in modern continuum mechanics and applied optimization problems. Several papers are concerned with mathematical problems in numerical analysis, which are also closely related to important mechanical models. The main topics treated include: * Computer simulation methods in mechanics, physics, and biology; * Variational problems and methods; minimization algorithms; * Optimal control problems with distributed and discrete control; * Shape optimization and shape design problems in science and engineering; * Sensitivity analysis and parameters optimization of complex systems.

Advanced Design of Mechanical Systems: From Analysis to Optimization

Advanced Design of Mechanical Systems: From Analysis to Optimization PDF Author: Jorge A.C. Ambrosio
Publisher: Springer Science & Business Media
ISBN: 3211994610
Category : Technology & Engineering
Languages : en
Pages : 426

Get Book Here

Book Description
Multibody systems are used extensively in the investigation of mechanical systems including structural and non-structural applications. It can be argued that among all the areas in solid mechanics the methodologies and applications associated to multibody dynamics are those that provide an ideal framework to aggregate d- ferent disciplines. This idea is clearly reflected, e. g. , in the multidisciplinary applications in biomechanics that use multibody dynamics to describe the motion of the biological entities, in finite elements where multibody dynamics provides - werful tools to describe large motion and kinematic restrictions between system components, in system control where the methodologies used in multibody dynamics are the prime form of describing the systems under analysis, or even in many - plications that involve fluid-structure interaction or aero elasticity. The development of industrial products or the development of analysis tools, using multibody dynamics methodologies, requires that the final result of the devel- ments are the best possible within some limitations, i. e. , they must be optimal. Furthermore, the performance of the developed systems must either be relatively insensitive to some of their design parameters or be sensitive in a controlled manner to other variables. Therefore, the sensitivity analysis of such systems is fundamental to support the decision making process. This book presents a broad range of tools for designing mechanical systems ranging from the kinematic and dynamic analysis of rigid and flexible multibody systems to their advanced optimization.

Mechanics of Composite Materials and Structures

Mechanics of Composite Materials and Structures PDF Author: Carlos A. Mota Soares
Publisher: Springer Science & Business Media
ISBN: 9401144893
Category : Science
Languages : en
Pages : 524

Get Book Here

Book Description
A compact presentation of the foundations, current state of the art, recent developments and research directions of all essential techniques related to the mechanics of composite materials and structures. Special emphasis is placed on classic and recently developed theories of composite laminated beams, plates and shells, micromechanics, impact and damage analysis, mechanics of textile structural composites, high strain rate testing and non-destructive testing of composite materials and structures. Topics of growing importance are addressed, such as: numerical methods and optimisation, identification and damage monitoring. The latest results are presented on the art of modelling smart composites, optimal design with advanced materials, and industrial applications. Each section of the book is written by internationally recognised experts who have dedicated most of their research work to a particular field. Readership: Postgraduate students, researchers and engineers in the field of composites. Undergraduate students will benefit from the treatment of the foundations of the mechanics of composite materials and structures.

IUTAM Symposium on Analytical and Computational Fracture Mechanics of Non-Homogeneous Materials

IUTAM Symposium on Analytical and Computational Fracture Mechanics of Non-Homogeneous Materials PDF Author: B.L. Karihaloo
Publisher: Springer Science & Business Media
ISBN: 9401700818
Category : Technology & Engineering
Languages : en
Pages : 509

Get Book Here

Book Description
This volume constitutes the Proceedings of the IUTAM Symposium on "Analytical and Computational Fracture Mechanics of Non-homogeneous Materials", held in Cardiff from 18th to 22nd June 2001. The Symposium was convened to address and place on record topical issues in analytical and computational aspects of the fracture of non-homogeneous materials as they are approached by specialists in mechanics, materials science and related fields. The expertise represented in the Symposium was accordingly very wide, and many of the world's greatest authorities in their respective fields participated. Given the extensive range and scale of non-homogeneous materials, it had to be focussed to enhance the quality and impact of the Symposium. The range of non-homogeneous materials was limited to those that are inhomogeneous at the macroscopic level and/or exhibit strain softening. The issues of micro to macro scaling were not excluded even within this restricted range which covered materials such as rock, concrete, ceramics and composites on the one hand, and, on the other, those metallic materials whose ductile fracture is strongly influenced by the presence of inhomogeneities. The Symposium remained focussed on fundamental research issues of practical significance. These issues have many common features among seemingly disparate non-homogeneous materials.

Optimization of Finite Dimensional Structures

Optimization of Finite Dimensional Structures PDF Author: Makoto Ohsaki
Publisher: CRC Press
ISBN: 143982004X
Category : Mathematics
Languages : en
Pages : 422

Get Book Here

Book Description
Originally developed for mechanical and aeronautical engineering, structural optimization is not so easily applied to civil and architectural engineering, as structures in these fields are not mass products, but more often unique structures planned in accordance with specific design requirements. The shape and geometry of such structures are determ