Ricerc@Sapienza

We investigate tapered elastic arches with parabolic axis under uniform thermal gradients. A perturbation of the finite field equations yields a sequence of first-order differential systems, which is turned into a non-dimensional form. If the arch is shallow and slender and its reference shape is stress- free, a closed-form incremental response is found. We comment on the graphics help presenting the results, as a first step towards the investigation of possible non- linear responses superposed on such first-order thermo- elastic state.

Perturbation methods are part of the reactor physics foundation devoted to the study of fundamental
quantities used in design and safety analysis of nuclear reactors. In deterministic codes, such as
ERANOS, standard perturbation theory (SPT) and generalized perturbation theory (GPT) methods have
been historically developed and used. Monte Carlo codes, such as MCNP 6.1, can also perform, via adjoint
weighted tally, SPT calculations of reactivity worths. In this work a method, referred to as MC-GPT, is