Description
Springer-Verlag Berlin And Heidelberg Gmbh & Co. Kg Chaos In Structural Mechanics (Understanding Complex Systems) by Jan Awrejcewicz , Vadim Anatolevich Krys'ko
This Monograph Is Devoted To Construction Of Novel Theoretical Approaches Of M- Eling Non-Homogeneous Structural Members As Well As To Development Of New And Economically Ef?Cient (Simultaneously Keeping The Required High Engineering Ac- Racy)Computationalalgorithmsofnonlineardynamics(Statics)Ofstronglynonlinear Behavior Of Either Purely Continuous Mechanical Objects (Beams Plates Shells) Or Hybrid Continuous/Lumped Interacting Mechanical Systems. In General The Results Presented In This Monograph Cannot Be Found In The - Isting Literature Even With The Published Papers Of The Authors And Their Coauthors. We Take A Challenging And Originally Developed Approach Based On The Integrated Mathematical-Numerical Treatment Of Various Continuous And Lumped/Continuous Mechanical Structural Members Putting Emphasis On Mathematical And Physical Modeling As Well As On The Carefully Prepared And Applied Novel Numerical - Gorithms Used To Solve The Derived Nonlinear Partial Differential Equations (Pdes) Mainly Via Bubnov-Galerkin Type Approaches. The Presented Material Draws On The ?Elds Of Bifurcation Chaos Control And S- Bility Of The Objects Governed By Strongly Nonlinear Pdes And Ordinary Differential Equations (Odes)And May Have A Positive Impact On Interdisciplinary ?Elds Of N- Linear Mechanics Physics And Applied Mathematics. We Show For The ?Rst Time In A Book The Complexity And Fascinating Nonlinear Behavior Of Continual Mechanical Objects Which Cannot Be Found In Widely Reported Bifurcational And Chaotic Dyn- Ics Of Lumped Mechanical Systems I. E. Those Governed By Nonlinear Odes.