Stability Analysis of a Constrained Arch under Concentrated Moments

Stability Analysis of a Constrained Shallow Arch Sep. 2007- Jul. 2009

- Modeled a half-sine arch constrained by a rigid plate and subjected to concentrated moments based on Euler beam theory.

- Developed an original modification of energy method to treat the stability problem taking into account the constraints.

- Constructed a computational system in Mathematica to control numerical convergence and conduct the bifurcation analysis of multiple equilibrium solutions.

- Experimental measurement and correlation with theoretical prediction.

Quasi-static simulation

Experiment video