Load Incrementation in a Non-linear Analysis

Abstract

A structure can be loaded by a number of loads of different type. We restrict ourselves to force-type loads such as forces, moments and distributed loads like line and surface loads, e.g. pressure. The reference loads contained in the vector f ₀ ^ext can be increased proportionally. The proportionality factor is λ, in the following referred to as load multiplier:

$$ {\mathbf{f}}^{ext}=\lambda {\mathbf{f}}_0^{ext} $$

f ₀ ^ext can be for example the planned load in use and λ a safety factor for the system while the maximum λ should be determined. Here we generalise that the system response depending on λ is of interest.