Author: Shunsuke OkuboPublisher:
ISBN:
Category :
Languages : en
Pages : 174
Book Description
Control of Nonlinear, Dynamic Systems Via Finite Elements, Sensitivity Analysis, Optimization, and Optimal Control
Author: Shunsuke OkuboSystem Modeling and Optimization
Author: Adam KorytowskiPublisher: Springer
ISBN: 3642048021
Category : Technology & Engineering
Languages : en
Pages : 515
Book Description
rd This book constitutes a collection of extended versions of papers presented at the 23 IFIP TC7 Conference on System Modeling and Optimization, which was held in C- cow, Poland, on July 23–27, 2007. It contains 7 plenary and 22 contributed articles, the latter selected via a peer reviewing process. Most of the papers are concerned with optimization and optimal control. Some of them deal with practical issues, e. g. , p- formance-based design for seismic risk reduction, or evolutionary optimization in structural engineering. Many contributions concern optimization of infini- dimensional systems, ranging from a general overview of the variational analysis, through optimization and sensitivity analysis of PDE systems, to optimal control of neutral systems. A significant group of papers is devoted to shape analysis and opti- zation. Sufficient optimality conditions for ODE problems, and stochastic control methods applied to mathematical finance, are also investigated. The remaining papers are on mathematical programming, modeling, and information technology. The conference was the 23rd event in the series of such meetings biennially org- ized under the auspices of the Seventh Technical Committee “Systems Modeling and Optimization” of the International Federation for Information Processing (IFIP TC7).
A Method for Reducing the Sensitivity of Optimal Nonlinear Systems to Parameter Uncertainty
Author: Jarrell R. ElliottPublisher:
ISBN:
Category : Mathematical optimization
Languages : en
Pages : 52
Book Description
Parameter Sensitivity in Nonlinear Mechanics
Author: Michael KleiberPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 432
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.
Structural Dynamic Systems Computational Techniques and Optimization
Author: Cornelius T. LeondesPublisher: Routledge
ISBN: 1351413236
Category : Mathematics
Languages : en
Pages : 338
Book Description
The finite element, an approximation method for solving differential equations of mathematical physics, is a highly effective technique in the analysis and design, or synthesis, of structural dynamic systems. Starting from the system differential equations and its boundary conditions, what is referred to as a weak form of the problem (elaborated in the text) is developed in a variational sense. This variational statement is used to define elemental properties that may be written as matrices and vectors as well as to identify primary and secondary boundaries and all possible boundary conditions. Specific equilibrium problems are also solved. This book clearly reveals the effectiveness and great significance of the finite element method available and the essential role it will play in the future as further development occurs.
Scientific and Technical Aerospace Reports
Author: Structural Failure and Plasticity
Author: X.L. ZhaoPublisher: Elsevier
ISBN: 0080551262
Category : Technology & Engineering
Languages : en
Pages : 913
Book Description
As mankind continues to push back the boundaries and begins to explore other worlds and the ocean depths, a thorough understanding of how structures behave when subjected to extremes in temperature, pressure, and high loading rates will be essential. This symposium provided the perfect forum for presenting research into structures subjected to such extreme loads. There were a large number of papers presented under topics of impact, blast and shock loading, indicating a strong research interest in high rates of loading. Similarly new topics have been added to the traditional symposium list such as fire loading, earthquake loading, and fatigue and connection failures. It is clear now that fundamental knowledge of plastic deformation of structures to various extreme loads is coming of age. Each full paper was peer reviewed by at least two experts in the field.
Sensitivity Analysis of Dynamic Systems
Author: Rajko TomovićPublisher:
ISBN:
Category : Automatic control
Languages : en
Pages : 160
Book Description
Finite Element Error Analysis for PDE-constrained Optimal Control Problems
Author: Dieter SirchPublisher: Logos Verlag Berlin GmbH
ISBN: 3832525572
Category : Mathematics
Languages : en
Pages : 166
Book Description
Subject of this work is the analysis of numerical methods for the solution of optimal control problems governed by elliptic partial differential equations. Such problems arise, if one does not only want to simulate technical or physical processes but also wants to optimize them with the help of one or more influence variables. In many practical applications these influence variables, so called controls, cannot be chosen arbitrarily, but have to fulfill certain inequality constraints. The numerical treatment of such control constrained optimal control problems requires a discretization of the underlying infinite dimensional function spaces. To guarantee the quality of the numerical solution one has to estimate and to quantify the resulting approximation errors. In this thesis a priori error estimates for finite element discretizations are proved in case of corners or edges in the underlying domain and nonsmooth coefficients in the partial differential equation. These facts influence the regularity properties of the solution and require adapted meshes to get optimal convergence rates. Isotropic and anisotropic refinement strategies are given and error estimates in polygonal and prismatic domains are proved. The theoretical results are confirmed by numerical tests.
Author: