Altogether with the preparation of our next article I am already summarizing and setting things up for the account for uncertainties in the structural design.
For such purpose, and after so much research into elasticity, dynamics and numerical methods, I have done the following scheme where most of the nonlinearities (which not surprisingly are often associated to randomness) can be fit into.
The scheme is based on the ubiquitous "Governing Equations" that serve as basis for every mechanician.
- System's internal balance equations (Statics or dynamics)
- Nonlinear damping
- Constitutive equations (Material)
- Kinematic equations (Geometry)
- Large deformations with small strains
- Large strains
- Boundary conditions
- Link rupture
The main point of my thesis is that stochastic methods are way more suitable for this purpose than deterministic ones...we will see...:)
Soon I will be getting back to my loved Ljubljana for a while, far from noisy Barcelona...