Modelle der Strukturmechanik

Content

Modeling describes the process of expressing physical and technical systems in the form of mathematical equations that can be solved analytically or numerically. The choice of model is determined by the mechanical properties of the system and the problem at hand. This course provides an overview of the common models of structural mechanics. The differential equations of the models are derived on the continuum using dimensional reduction and mechanical assumptions.In particular, the following topics are addressed:

• Fundamentals of continuum mechanics
• Fundamentals of tensor calculus
• Dimension reduction
• Classification of structures
• Differential geometries, differential equations, assumptions and structural behavior of numerous structural models: tension/compression bars, beams (Timoshenko beams, Bernoulli beams), disks, plates (Reissner-Mindlin plate, Kirchhoff plate) and shells
• Principle of virtual work
• Derivation of the weak form of the differential equations