Question

Compare stochastic and deterministic models.

Answer 1

A deterministic model is a model where:

1 - the material properties are well known, i.e. deterministic. none of them is random

2 - The applied load are also deterministic

A Stochastic model has on the other hand:

1 - random properties, e.g. the Young's modulus is a random variable with uniform distribution [E1, E2]; or normal distribution (of a given mean or standard deviation)

2 - The applied load is random variable, e.g. Wind Load, earthquake (vibration of random amplitude and displacement)

The Hybrid model is a "mixture" of both Deterministic and Stochastic. Its treatment is quite similar to the Stochastic model. The presence of a single random variable in the model necessitates the consideration of the stochastic treatment.