Analysis of Dynamic Stress Responses in Structural Vibration

Abstract

Abstract This paper describes basic concepts and finite element method of dynamic stress response analysis. It provides basics of stress modal analysis and frequency response analysis. The paper defines concepts of normal mode stresses and complex stress frequency response functions for shell elements and shows that element stress responses in both time and frequency domains can be expressed as superposition of normal mode stresses. It demonstrates that element stress response solutions have the similar forms to those of node displacement responses and that normal mode stresses in stress analysis play the same role as mode shapes in normal vibration analysis.