Exact solutions of nonlinear equation of rod deflections involving the Lauricella hypergeometric functions

GM Scarpello, D Ritelli - International Journal of Mathematics …, 2011 - Wiley Online Library
The stress induced in a loaded beam will not exceed some threshold, but also its maximum
deflection, as for all the elastic systems, will be controlled. Nevertheless, the linear beam …

Exact curvature elastica of a thin cantilever under terminal loads

GM Scarpello, D Ritelli - 2008 - projecteuclid.org
Communicated by Mauro Spera Abstract. A thin, flexible, one side-built-in rod under a
concentrated terminal force is studied in its elastic equilibrium configuration. In order to …

Special Functions and Their Link with Nonlinear Rod Theory

GM Scarpello, D Ritelli - Special Functions and Analysis of …, 2020 - taylorfrancis.com
There are many physical models or theories in which some functions appear in natural and
regular fashion, starting with polynomials and algebraic functions and progressing through …

[HTML][HTML] Hypergeometric solutions to a three dimensional dissipative oscillator driven by aperiodic forces

A Bocci, GM Scarpello, D Ritelli - Applied Mathematical Modelling, 2018 - Elsevier
We model the dynamical behavior of a three dimensional (3-D) dissipative oscillator
consisting of a m-block whose vertical fall occurs against a spring and which can also slide …

New hypergeometric formulae to arising from M. Roberts hyperelliptic reductions

GM Scarpello, D Ritelli - arXiv preprint arXiv:1507.06681, 2015 - arxiv.org
In this article we developed a special topic of our pure-mathematics papers concerning the
hypergeometric theory. Based upon a Roberts's reduction approach of hyperelliptic integrals …

The meridian curve of a wetting drop: a boundary value problem and its elliptic integrals solution

G Mingari Scarpello, D Ritelli - Meccanica, 2014 - Springer
In this article we study the shape of free surfaces of a static fluid under gravity. We consider
the meridian curve of a heavy liquid drop standing on a horizontal base: the main …

A hypergeometric treatment to explain the nonlinear true behavior of redundant constraints on a straight elastic rod

GM Scarpello, D Ritelli - arXiv preprint arXiv:1505.02255, 2015 - arxiv.org
In theory and practice of elastic straight rods, the statically indeterminate reactions acted by
perfect constraints are commonly believed not to depend on the flexural stiffness $ EJ $. We …

[PDF][PDF] EXACT CURVATURE ELASTICA OF A THIN CANTILEVER UN-DER TERMINAL LOADS

GM SCARPELLO, D RITELLI - researchgate.net
A thin, flexible, one side-built-in rod under a concentrated terminal force is studied in its
elastic equilibrium configuration. In order to make the problem more tractable, a proper set of …