Question

Properties of stiffness matrix in structural analysis

Answer 1

Explanation:

It is a matrix method that makes use of the members' stiffness relations for computing member forces and displacements in structures. The direct stiffness method is the most common implementation of the finite element method (FEM).

Diagonal terms of the matrix are always positive i.e. force directed in say left direction cannot produce a displacement in right direction. Diagonal terms will be zero or negative only if the structure is unstable.

Answer 2

The properties of stiffness matrix in structural analysis are:

• The matrix of stiffness in this case say m is independent , if its determining factor or determinant k is approaching zero.
• Approaching zero doesn't necessitate zero in itself but rather the smallest number it can be equated with.
• System matrix stiffness can be checked mathematically with the help of Eigen vectors.
• SVD or single value decomposition is also used to check for composition and deflector mechanisms in a material.
• The SVD method is the most highly used and appreciated methods.