Question

In vibration and transient analysis of beams, if the linear acceleration scheme predicts the solution,then it is unstable for the first several time steps, but it eventually becomes stable.

(a) True

(b) False

This question was addressed to me by my college professor while I was bunking the class.

The doubt is from Plane Elasticity in section Plane Elasticity of Finite Element Method

Answer 1

Correct answer is (b) False

To explain: In the determination of natural frequencies and transient response using plane elements, the time approximation scheme is used. Note that the solution predicted by the linear acceleration scheme is stable for the first several time steps, but it eventually becomes unstable.