The Wave Finite Element Method

2004
ISBN: 978-3-540-41638-8
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 355 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 723 g

Reihe: Foundations of Engineering Mechanics

Computational mechanics, as a science employed for the numerical model­ ing of processes in nature and engineering, has over the last few decades developed two strands. The first concerns the putting of more and more powerful software packages into computational practice, using increas­ ingly high-performance computers with increasingly large memory. The traditional finite element and finite difference approaches are still preva­ lent. Over the years however, researchers have met with new problems; their solutions on the basis of traditional methods are at best difficult and at worst impossible to obtain. Such problems provided a powerful impetus in the development of the second strand, resulting in the development of es­ sentially new approaches for numerical modeling, for example meshless methods, "molecular" dynamics, neuron networks. The current state of the art formed the basis of many papers presented at the Fifth World Congress on Computational Mechanics, Vienna 2002. It is within the framework of the second strand that this book has been written.

Zielgruppe

Research

Autoren/Hrsg.

Shorr, Boris F.

Fachgebiete

• Mathematik | Informatik EDV | Informatik Professionelle Anwendung Computer-Aided Design (CAD)
• Technische Wissenschaften Technik Allgemein Computeranwendungen in der Technik
• Naturwissenschaften Physik Thermodynamik Festkörperphysik, Kondensierte Materie
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Mathematik | Informatik EDV | Informatik Angewandte Informatik Computeranwendungen in Wissenschaft & Technologie
• Naturwissenschaften Physik Mechanik Klassische Mechanik, Newtonsche Mechanik
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Kontinuumsmechanik
• Naturwissenschaften Physik Mechanik Akustik, Schwingungsanalyse

Inhaltsverzeichnis

Theory.- 1 Foundation of the wave finite element method.- 2 Simulation of simple one-dimensional wave processes.- 3 Wave propagation in an inelastic rod.- 4 Coupled longitudinal-torsional waves in a pre-twisted rod.- 5 Bending waves in a beam.- 6 One-dimensional waves in elastic continua and structures.- 7 Numerical simulation of multi-dimensional wave processes.- Applications.- 8 Impact loading of a deformable body.- 9 Unsteady forced vibration of solids.- 10 Unsteady vibro-impact loading.- 11 Oscillations of a mechanical system affected by moving loads.- 12 Dynamic loading of a free edge of a solid.- 13 Some special problems of solid mechanics.- 14 Some special unsteady problems in engineering.- Conclusion.- References.