Inertia Relief Analysis
This document explains how inertia relief works and validation.
The static analysis of structures with rigid body modes needs to include inertia relief calculations in the solution process. Structures with non-structural masses may be significantly influenced by inertia relief effects.
In finite element analysis, inertia relief forces are calculated based on the rigid body modes and the global mass matrix of the model. If Φ represents the set of all the rigid body modes that satisfy the boundary conditions on the model, M represents the global mass matrix and F represents the load vector, then the corrected load vector F’ is calculated as follows:
F’ = F – MΦu
Consider an example of simply supported plate of weight 4.52896E-01 Tonnes.
This weight will be applied through Centre of gravity (C.G).
The force of Total 400 N applied on 4 nodes. (100N each).
Calculating Mass and center of gravity in HyperWorks
Inertia relief Analysis:
1.Reference point output:
Matched well with HyperWorks.
2. Rigid Body Forces
3.Rigid body acceleration