The catenary function has a well-known role in determining the shape of chains and cables supported at their ends under the force of gravity. This enables design using a specific static equilibrium. Its symmetric version, the catenary arch, allows the construction of bridges and arches exploiting the dual equilibrium property under uniform compression. In this paper we emphasise a further connection with well-known biological growth models and the related diffusion of innovation paradigms, e.g., logistic and Bass functions, that determine self-sustaining evolutionary growth dynamics in naturalistic and socio-economic contexts.
Diffusion of technological innovations: dynamic and static equilibria
GUSEO, RENATO
2011
Abstract
The catenary function has a well-known role in determining the shape of chains and cables supported at their ends under the force of gravity. This enables design using a specific static equilibrium. Its symmetric version, the catenary arch, allows the construction of bridges and arches exploiting the dual equilibrium property under uniform compression. In this paper we emphasise a further connection with well-known biological growth models and the related diffusion of innovation paradigms, e.g., logistic and Bass functions, that determine self-sustaining evolutionary growth dynamics in naturalistic and socio-economic contexts.File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.