ISBN: 9781402063763

The variational method is a powerful tool to investigate states and processes in technical devices, nature, living organisms, systems, and economics. The power of the variational method c… Meer...

The variational method is a powerful tool to investigate states and processes in technical devices, nature, living organisms, systems, and economics. The power of the variational method consists in the fact that many of its sta- ments are physical or natural laws themselves. The essence of the variational approach for the solution of problems rel- ing to the determination of the real state of systems or processes consists in thecomparisonofclosestates.Theselectioncriteriafortheactualstatesmust be such that all the equations and conditions of the mathematical model are satis?ed. Historically, the ?rst variational theory was the Lagrange theory created to investigate the equilibrium of ?nite-dimensional mechanical systems under holonomic bilateral constraints (bonds). The selection criterion proposed by Lagrange is the admissible displacement principle. In accordance with this principle, the work of the prescribed forces (supposed to be constant) on in?nitesimally small, kinematically admissible (virtual) displacements is zero. It is known that equating the virtual work performed for potential systems to zero is equivalent to the stationarity conditions for the total energy of the system. The transition from bilateral constraints to unilateral ones was performed by O. L. Fourier. Fourier demonstrated that the virtual work on small dist- bances of a stable equilibrium state of a mechanical system under unilateral constraints must be positive (or, at least, nonnegative). Therefore, for such a system the corresponding mathematical model is reduced to an inequality and the problem becomes nonlinear. Bücher > Fremdsprachige Bücher > Englische Bücher 241 x 160 x 24 mm , Springer Netherland, Gebundene Ausgabe, Springer Netherland<

ISBN: 9781402063763

The variational method is a powerful tool to investigate states and processes in technical devices, nature, living organisms, systems, and economics. The power of the variational method c… Meer...

The variational method is a powerful tool to investigate states and processes in technical devices, nature, living organisms, systems, and economics. The power of the variational method consists in the fact that many of its sta- ments are physical or natural laws themselves. The essence of the variational approach for the solution of problems rel- ing to the determination of the real state of systems or processes consists in thecomparisonofclosestates.Theselectioncriteriafortheactualstatesmust be such that all the equations and conditions of the mathematical model are satis?ed. Historically, the ?rst variational theory was the Lagrange theory created to investigate the equilibrium of ?nite-dimensional mechanical systems under holonomic bilateral constraints (bonds). The selection criterion proposed by Lagrange is the admissible displacement principle. In accordance with this principle, the work of the prescribed forces (supposed to be constant) on in?nitesimally small, kinematically admissible (virtual) displacements is zero. It is known that equating the virtual work performed for potential systems to zero is equivalent to the stationarity conditions for the total energy of the system. The transition from bilateral constraints to unilateral ones was performed by O. L. Fourier. Fourier demonstrated that the virtual work on small dist- bances of a stable equilibrium state of a mechanical system under unilateral constraints must be positive (or, at least, nonnegative). Therefore, for such a system the corresponding mathematical model is reduced to an inequality and the problem becomes nonlinear. Books > Engineering Hard cover, Springer Shop<

2007, ISBN: 1402063768

[EAN: 9781402063763], Neubuch, [PU: Springer Netherlands], MECHANIK TECHNISCHE 3D TRANSFORMATION CONSTRUCTION DEVELOPMENT MATHEMATICALMODELING MODELING MODELLING OPERATOR OPTIMIZATION QUA… Meer...

[EAN: 9781402063763], Neubuch, [PU: Springer Netherlands], MECHANIK TECHNISCHE 3D TRANSFORMATION CONSTRUCTION DEVELOPMENT MATHEMATICALMODELING MODELING MODELLING OPERATOR OPTIMIZATION QUALITY THERMODYNAMICS TECHNIK MASCHINENBAU FERTIGUNGSTECHNIK MATHEMATICAL MECHANICS OP, Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung für Sie gedruckt. The book to deal with this subject after a number of yearsWill appeal to a wide readershipThe essential aim of this book is to consider a wide set of problems a, Books<

2007, ISBN: 1402063768

2007 Gebundene Ausgabe Mechanik / Technische Mechanik, Technische Mechanik, Klassische Mechanik, Maschinenbau, Künstliche Intelligenz, 3D; Transformation; Construction; Development; mat… Meer...

2007 Gebundene Ausgabe Mechanik / Technische Mechanik, Technische Mechanik, Klassische Mechanik, Maschinenbau, Künstliche Intelligenz, 3D; Transformation; Construction; Development; mathematicalmodeling; modeling; modelling; operator; Optimization; quality; thermodynamics, mit Schutzumschlag 11, [PU:Springer Netherlands; Springer Netherland]<

2007, ISBN: 1402063768

Variational and Quasi-Variational Inequalities in Mechanics ab 138.99 € als gebundene Ausgabe: Auflage 2007. Aus dem Bereich: Bücher, Wissenschaft, Technik, Medien > Bücher, Springer Neth… Meer...

Variational and Quasi-Variational Inequalities in Mechanics ab 138.99 € als gebundene Ausgabe: Auflage 2007. Aus dem Bereich: Bücher, Wissenschaft, Technik, Medien > Bücher, Springer Netherlands<