Dynamic Modeling of a Belt Driven Electromechanical XY Plotter Cutter

Current industrial XY plotter cutters that use a belt driven gantry for the X motion and media feed for the Y motion sometimes have performance issues in cutting out high quality shapes. Mathematical models for these plotter cutters are not publicly available and thus the parameters critical to cut quality are not well understood. This thesis develops a dynamic, electromechanical model for the gantry arm and media feed using first principles and a non-linear friction model. These models are independently simulated and experimentally verified. In order to verify the effectiveness of the individual models, they are combined with a control system and trajectory generation algorithm. A rectangle, star and oval are simulated with the combined system using both a detuned and tuned controller and compared to experimental results. The effectiveness of the model is demonstrated with good agreement between theoretical and experimental results for both controllers. The resulting model can be used to improve and optimize the performance of XY plotter cutters

The Wonder of Colors and the Principle of Ariadne

The Principle of Ariadne, formulated in 1988 ago by Walter Carnielli and Carlos Di Prisco and later published in 1993, is an infinitary principle that is independent of the Axiom of Choice in ZF, although it can be consistently added to the remaining ZF axioms. The present paper surveys, and motivates, the foundational importance of the Principle of Ariadne and proposes the Ariadne Game, showing that the Principle of Ariadne, corresponds precisely to a winning strategy for the Ariadne Game. Some relations to other alternative. set-theoretical principles are also briefly discussed

Expansion-Free Cavity Evolution: Some exact Analytical Models

We consider spherically symmetric distributions of anisotropic fluids with a central vacuum cavity, evolving under the condition of vanishing expansion scalar. Some analytical solutions are found satisfying Darmois junction conditions on both delimiting boundary surfaces, while some others require the presence of thin shells on either (or both) boundary surfaces. The solutions here obtained model the evolution of the vacuum cavity and the surrounding fluid distribution, emerging after a central explosion. This study complements a previously published work where modeling of the evolution of such kind of systems was achieved through a different kinematical condition.Comment: 9 pages, Revtex. Typos corrected. Published in Int. J. Mod. Phys.

Bianchi Type I Universes with Causal Bulk Viscous Cosmological Fluid

We consider the dynamics of a causal bulk viscous cosmological fluid filled constantly decelerating Bianchi type I space-time. The matter component of the Universe is assumed to satisfy a linear barotropic equation of state and the state equation of the small temperature Boltzmann gas. The resulting cosmological models satisfy the condition of smallness of the viscous stress. The time evolution of the relaxation time, temperature, bulk viscosity coefficient and comoving entropy of the dissipative fluid is also obtained.Comment: 11 pages, 5 figures, accepted for publication in International Journal of Modern Physics

Bulk Viscosity Effects on the Early Universe Stability

We present a discussion of the effects induced by the bulk viscosity on the very early Universe stability. The matter filling the cosmological (isotropic and homogeneous) background is described by a viscous fluid having an ultrarelativistic equation of state and whose viscosity coefficient is related to the energy density via a power-law of the form $\zeta=\zeta_0 \rho^\nu$. The analytic expression of the density contrast (obtained for $\nu=1/2$) shows that, for small values of the constant $\zeta_0$, its behavior is not significantly different from the non-viscous one derived by E.M. Lifshitz. But as soon as $\zeta_0$ overcomes a critical value, the growth of the density contrast is suppressed forward in time by the viscosity and the stability of the Universe is favored in the expanding picture. On the other hand, in such a regime, the asymptotic approach to the initial singularity (taken at $t=0$) is deeply modified by the apparency of significant viscosity in the primordial thermal bath i.e. the isotropic and homogeneous Universe admits an unstable collapsing picture. In our model this feature regards also scalar perturbations while in the non-viscous case it appears only for tensor modes.Comment: 8 pages, no figur

On Scaling Solutions with a Dissipative Fluid

We study the asymptotic behaviour of scaling solutions with a dissipative fluid and we show that, contrary to recent claims, the existence of stable accelerating attractor solution which solves the `energy' coincidence problem depends crucially on the chosen equations of state for the thermodynamical variables. We discuss two types of equations of state, one which contradicts this claim, and one which supports it.Comment: 8 pages and 5 figures; to appear in Class. Quantum Gra

Efeitos do estresse salino na germinação, emergência e estabelecimento da plântula de cajueiro anão precoce.

Objetivou-se com este trabalho avaliar os efeitos da salinidade em três estádios de desenvolvimento (ED) da plântula de cajueiro anão-precoce, a saber, germinação, emergência e estabelecimento da plântula, tentando estabelecer uma relação entre o desenvolvimento e o acúmulo de íons nos tecidos da plântula. Para isso, castanhas do clone CCP-06 de cajueiro anão precoce foram semeadas em bandejas de plástico contendo vermiculita umedecida com água destilada (0,0 dS m-1) ou soluções de NaCl com condutividades elétricas variando entre 3,0 e 18,0 dS m-1 e mantidas em casa de vegetação. Determinaram-se a percentagem de plântulas que alcançaram os ED estudados e o tempo e a velocidade com que isso ocorreu, assim como a matéria seca dos cotilédones e eixo embrionário e os teores de Na+, K+ e Cl- do eixo embrionário. A salinidade retardou o desenvolvimento das plântulas nos ED correspondentes à emergência e estabelecimento, entretanto apenas neste último ED é que a percentagem final de plântulas foi reduzida, acompanhada pela inibição da depleção das reservas cotiledonares e decréscimo da massa seca do eixo embrionário. Em todos os ED, os teores de Na+ e Cl- aumentaram com a salinidade, mas isso foi mais pronunciado nas plântulas estabelecidas, nas quais houve redução dos teores de K+. Os resultados obtidos sugerem que as plântulas de cajueiro anão precoce são mais sensíveis à salinidade durante a etapa de estabelecimento e que os efeitos deletérios desse estresse são mediados, pelo menos em parte, pelo acúmulo excessivo de íons Na+ e Cl- na plântula