Search results for " Newton"

A New Procedure for the Evaluation of Non-Uniform Residual Stresses by the Hole Drilling Method Based on the Newton-Raphson Technique

2010

The hole drilling method is one of the most used semi-destructive techniques for the analysis of residual stresses in mechanical components. The non-uniform stresses are evaluated by solving an integral equation in which the strains relieved by drilling a hole are introduced. In this paper a new calculation procedure, based on the Newton-Raphson method for the determination of zeroes of functions, is presented. This technique allows the user to introduce complex and effective forms of stress functions for the solution of the problem. All the relationships needed for the evaluation of the stresses are obtained in explicit form, eliminating the need to use additional mathematical tools. The t…

Parallel translations, Newton flows and Q-Wiener processes on the Wasserstein space

2022

- We extend the definition of Lott’s Levi-Civita connection to the Wasserstein space of probability measures having density and divergence. We give an extension of a vector field defined along an absolutely curve onto the whole space so that parallel translations can be introduced as done in differential geometry. In the case of torus, we prove the well-posedness of Lott’s equation for parallel translations.- We prove the well-posedness of the Newton flow equation on the Wasserstein space and show the connections between the relaxed Newton flow equation and the Keller-Segel equation.- We establish an intrinsic formalism for Itô stochastic calculus on the Wasserstein space throughout three k…

Probing Models of Extended Gravity using Gravity Probe B and LARES experiments

2014

We consider models of Extended Gravity and in particular, generic models containing scalar-tensor and higher-order curvature terms, as well as a model derived from noncommutative spectral geometry. Studying, in the weak-field approximation, the geodesic and Lense-Thirring processions, we impose constraints on the free parameters of such models by using the recent experimental results of the Gravity Probe B and LARES satellites.

Newton's Law of Universal Gravitation and Hume's Conception of Causality

2013

This article investigates the relationship between Hume’s causal philosophy and Newton’s philosophy of nature. I claim that Newton’s experimentalist methodology in gravity research is an important background for understanding Hume’s conception of causality: Hume sees the relation of cause and effect as not being founded on a priori reasoning, similar to the way that Newton criticized non-empirical hypotheses about the properties of gravity. However, according to Hume’s criteria of causal inference, the law of universal gravitation is not a complete causal law, since it does not include a reference either to contiguity or to temporal priority. It is still argued that because of the empirical…

Generación de fractales a partir del método de Newton

2013

[EN] A large number of fractals known, as Julia fractals and Mandelbrot, can be generated from an iterative method. In this paper we present a virtual laboratory developed as a Graphical User Interface (GUI) of Matlab that allows us to study and visualize in real time the relationship between Newton iterative methods of two variables and the generation of fractals. The main objective is to allow Technical School students in Numerical Computation subjects to acquire the skills to generate fractals and interpret their plots in terms of the convergence or divergence speed of the sequence of iterated.

Una procedura generale per la valutazione delle tensioni residue con il metodo del foro

2009

Il metodo della rosetta forata è una delle più note tecniche semidistruttive di analisi delle tensioni residue su componenti meccanici. In presenza di tensioni non uniformi, il campo delle tensioni può essere determinato a partire dalle deformazioni rilassate utilizzando varie procedure di calcolo basate sulla stessa equazione, chiamata equazione integrale. In questo lavoro viene presentata una nuova procedura di calcolo basata sul metodo di Newton-Raphson per la determinazione degli zeri di una funzione. La tecnica proposta presenta due importanti vantaggi rispetto alle altre tecniche: 1) è basata su una teoria piuttosto generale che permette di ottenere le principali tecniche esistenti co…

Intersezioni. Percorsi attraverso i saperi. Scienza ed etica

2012

"Intersezioni. Percorsi attraverso i saperi" sono dei percorsi interdisciplinari inseriti nel "Nuovo manuale di letteratura" di Luperini, Cataldi, Marchiani, Marchese, che vengono introdotti per potenziare il lavoro di preparazione in vista dell'esame di Stato della Scuola Secondaria di 2° grado. Tali percorsi intrecciano testi letterari e non letterari (compresi documenti iconografici e fotografici) e forniscono dei laboratori di scrittura per la produzione del saggio breve, del tema storico o di ordine generale. In particolare, questo percorso è dedicato al rapporto fra scienza, filosofia e morale nel periodo compreso fra la Rivoluzione copernicana (e la nascita della scienza moderna nel …

Some relationships between the calculus of Newton, Bombelli’s Algebra and Leibniz

2010

Newton, Isaac

2015

Demo 60. Fluidos no newtonianos

2013

Objetivo: Observar el comportamiento de un fluido pseudoplástico y de un fluido dilatante.