Reconciling Elastic and Equilibrium Methods for Static Analysis
ACM Transactions on Graphics (TOG) Volume 35 Issue 2, May 2016
Presented at SIGGRAPH 2016
Abstract:
We examine two widely used classes of methods for static analysis of masonry
buildingsālinear elasticity analysis using finite elements and equilibrium
methods. It is often claimed in the literature that finite element analysis
is less accurate than equilibrium analysis when it comes to masonry analysis;
we examine and qualify this claimed inaccuracy, provide a systematic
explanation for the discrepancy observed between their results, and present
a unified formulation of the two approaches to stability analysis. We prove
that both approaches can be viewed as equivalent, dual methods for getting
the same answer to the same problem. We validate our observations with
simulations and physical tilt experiments of structures.