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A proposal on a course on Real-Time Structural Dynamics
The following is a tree with the key concepts that, although already at reach of any graduated structural engineer, need to be tied together, maybe in a course, in order to achieve a proper scope on how to simulate real-time structural dynamics:
- Main time integration methods (ODE), their limitations (drawbacks), advantages, motivation, references, illustrations, year, all related to the three disciplines applied physics, maths and applied computing:
- 1st order
- Euler
- Backward Euler
- Semi-implicit Euler
- Exponential Euler
- 2nd order
- Verlet
- Velocity Verlet
- Midpoint Method
- Heun’s
- Newmark-beta
- Leapfrog
- Higher order
- Runge-Kutta
- Linear multistep
- Main constraint/collision (DAE) integration methods, their limitations (drawbacks), advantages, motivation, references, illustrations, year, all related to the three disciplines applied physics, maths and applied computing.
- Coordinate Partitioning
- Constraint Orthogonalization
- Udwadia-Kalaba
- Main matter/continuum (PDE) integration methods, their limitations (drawbacks), advantages, motivation, references, illustrations, year, all related to the three disciplines applied physics, maths and applied computing.
- MESH BASED METHODS
- Finite Element
- Finite Differences
- Finite Volume
- Boundary Element
- Mass-spring systems
- MESH FREE METHODS
- SPH
- Diffuse Element Method
- Partition of Unity
- Moving Least Square
- Reproducing Kernel Method
A graphical approach to ths subject, not so tied to complex formalisms and formulation, would be a real help to attract more researchers into this fascinating discipline.
It also would reinforce the interest on the very differential equations, as these are a very abstract concept explained and taught on a very abstract basis. This makes them first candidate to be either forgotten or banned into the minds of students.
I will try to develop these subjects with more care in future issues…
Se vidimo!
Conoce el programa, la nueva metodología de diseño: "Co-Creación Procedural"
Clic aqui si quieres entender como generar sinergías entre algoritmos, diseñadores y empresas para crear nuevos productos y servicios que generan ingresos pasivos. ¿Te quedarás atrás?, otros ya están usando el poder de los algoritmos y co-creando con ellos. ⇱