Vibrações livres e forçadas no modelo de Timoshenko

O objetivo deste trabalho é o cálculo modal da resposta impulso distribu ída de uma viga descrita pela equação de Timoshenko e das vibrações forçadas, devidas a influência de cargas externas. Os modos vibratórios foram obtidos com o uso da base dinâmica, gerada por uma resposta livre e suas derivadas. Esta resposta é caracterizada por condições iniciais impulsivas. Simulações foram realizadas para os modos, a resposta impulso distribuída e vibrações forçadas em vigas apoiadas em uma extremidade e na outra livre, fixa, deslizante ou apoiada, sujeitas a cargas oscilatórias espacialmente concentradas ou distribuídas através de pulsos.

A base dinâmica na existência de autovalores duplos no modelo de Timoshenko para uma viga uniforme livre-livre

Considerando uma viga uniforme do tipo Timoshenko com condições de contorno livre-livre, Geist e McLaughlin em [8]apresentam uma condição necessária e suficiente que garante a existência de freqüências naturais duplas. Esta condição foi obtida usando a formulação espectral, método clássico encontrado na literatura, para as equações de quarta ordem desacopladas do modelo de Timoshenko. O método clássico requer a obtenção de um vetor constante com oito componentes para que a solução deste modelo seja conhecida. Segundo Claeyssen [2], [3], [4], [5], [6], a solução do modelo de Timoshenko pode ser obtida usando a base dinâmica gerada por uma resposta impulso-matricial fundamental. Este método permite encontrar a solução do modelo de Timoshenko usando as equações de segunda ordem acopladas. Além disso, para que a solução seja conhecida é necessário obter um vetor constante com quatro componentes. O objetivo deste trabalho é estudar a condição necessária e suficiente que garante a existência de freqüências naturais duplas, apresentada por Geist e McLaughlin, para uma viga uniforme do tipo timoshenko com condições de contorno livre-livre e verificar se é possível obter esta mesma condição quando é utilizada a base dinâmica para obter a solução deste modelo.

Axially Loaded Timoshenko Rotors From A Prestressed Continuum Approach

We consider an axially loaded Timoshenko rotor rotating at a constant speed and derive its governing equations from a continuum viewpoint. The primary aim of this paper is to understand the source and role of gyroscopic terms, when the rotor is viewed not as a Timoshenko beam but as a genuine 3D continuum. We offer the primary insight that macroscopically observed gyroscopic terms may also, quite equivalently, be viewed as external manifestations of internally existing spin-induced prestresses at the continuum level. To demonstrate this idea with an analytical example (the Timoshenko rotor), we have studied the reliable equations of Choi et al. (Journal of Vibration and Acoustics, 114, 1992, 249-259). Using a straightforward application of our insight in the framework of nonlinear elasticity, we obtain equations that exactly match Choi et al. for the case with no axial load. For the case of axial preload, our straightforward formulation leads to a slightly different set of equations that have negligible numerical consequence for solid rotors. However, we offer a macroscopic, intuitive, justification for modifying our formulation so as to obtain the exact equations of Choi et al. with the axial load included.

Terahertz wave characteristics of a single-walled carbon nanotube containing a fluid flow using the nonlocal Timoshenko beam model

This paper presents the effect of nonlocal scaling parameter on the terahertz wave propagation in fluid filled single walled carbon nanotubes (SWCNTs). The SWCNT is modeled as a Timoshenko beam,including rotary inertia and transverse shear deformation by considering the nonlocal scale effects. A uniform fluid velocity of 1000 m/s is assumed. The analysis shows that, for a fluid filled SWCNT, the wavenumbers of flexural and shear waves will increase and the corresponding wave speeds will decrease as compared to an empty SWCNT. The nonlocal scale parameter introduces certain band gap region in both flexural and shear wave mode where no wave propagation occurs. This is manifested in the wavenumber plots as the region where the wavenumber tends to infinite (or wave speed tends to zero). The frequency at which this phenomenon occurs is called the ``escape frequency''. The effect of fluid density on the terahertz wave propagation in SWCNT is also studied and the analysis shows that as the fluid becomes denser, the wave speeds will decrease. The escape frequency decreases with increase in nonlocal scaling parameter, for both wave modes. We also show that the effect of fluid density and velocity are negligible on the escape frequencies of flexural and shear wave modes. (C) 2010 Elsevier B.V. All rights reserved.

Violin string shape functions for finite element analysis of rotating Timoshenko beams

Violin strings are relatively short and stiff and are well modeled by Timoshenko beam theory. We use the static part of the homogeneous differential equation of violin strings to obtain new shape functions for the finite element analysis of rotating Timoshenko beams. For deriving the shape functions, the rotating beam is considered as a sequence of violin strings. The violin string shape functions depend on rotation speed and element position along the beam length and account for centrifugal stiffening effects as well as rotary inertia and shear deformation on dynamic characteristics of rotating Timoshenko beams. Numerical results show that the violin string basis functions perform much better than the conventional polynomials at high rotation speeds and are thus useful for turbo machine applications. (C) 2011 Elsevier B.V. All rights reserved.

Coupled polynomial field approach for elimination of flexure and torsion locking phenomena in the Timoshenko and Euler-Bernoulli curved beam elements

The curvature related locking phenomena in the out-of-plane deformation of Timoshenko and Euler-Bernoulli curved beam elements are demonstrated and a novel approach is proposed to circumvent them. Both flexure and Torsion locking phenomena are noticed in Timoshenko beam and torsion locking phenomenon alone in Euler-Bernoulli beam. Two locking-free curved beam finite element models are developed using coupled polynomial displacement field interpolations to eliminate these locking effects. The coupled polynomial interpolation fields are derived independently for Timoshenko and Euler-Bernoulli beam elements using the governing equations. The presented of penalty terms in the couple displacement fields incorporates the flexure-torsion coupling and flexure-shear coupling effects in an approximate manner and produce no spurious constraints in the extreme geometric limits of flexure, torsion and shear stiffness. the proposed couple polynomial finite element models, as special cases, reduce to the conventional Timoshenko beam element and Euler-Bernoulli beam element, respectively. These models are shown to perform consistently over a wide range of flexure-to-shear (EI/GA) and flexure-to-torsion (EI/GJ) stiffness ratios and are inherently devoid of flexure, torsion and shear locking phenomena. The efficacy, accuracy and reliability of the proposed models to straight and curved beam applications are demonstrated through numerical examples. (C) 2012 Elsevier B.V. All rights reserved.

Analogy Between Rotating Euler-Bernoulli and Timoshenko Beams and Stiff Strings

The governing differential equation of a rotating beam becomes the stiff-string equation if we assume uniform tension. We find the tension in the stiff string which yields the same frequency as a rotating cantilever beam with a prescribed rotating speed and identical uniform mass and stiffness. This tension varies for different modes and are found by solving a transcendental equation using bisection method. We also find the location along the rotating beam where equivalent constant tension for the stiff string acts for a given mode. Both Euler-Bernoulli and Timoshenko beams are considered for numerical results. The results provide physical insight into relation between rotating beams and stiff string which are useful for creating basis functions for approximate methods in vibration analysis of rotating beams.

Closed-form solutions for axially functionally graded Timoshenko beams having uniform cross-section and fixed-fixed boundary condition

In this paper, we study the free vibration of axially functionally graded (AFG) Timoshenko beams, with uniform cross-section and having fixed-fixed boundary condition. For certain polynomial variations of the material mass density, elastic modulus and shear modulus, along the length of the beam, there exists a fundamental closed form solution to the coupled second order governing differential equations with variable coefficients. It is found that there are an infinite number of non-homogeneous Timoshenko beams, with various material mass density, elastic modulus and shear modulus distributions having simple polynomial variations, which share the same fundamental frequency. The derived results can be used as benchmark solutions for testing approximate or numerical methods used for the vibration analysis of non-homogeneous Timoshenko beams. They can also be useful for designing fixed-fixed non-homogeneous Timoshenko beams which may be required to vibrate with a particular frequency. (C) 2013 Elsevier Ltd. All rights reserved.

Analytical test functions for free vibration analysis of rotating non-homogeneous Timoshenko beams

In this paper, the governing equations for free vibration of a non-homogeneous rotating Timoshenko beam, having uniform cross-section, is studied using an inverse problem approach, for both cantilever and pinned-free boundary conditions. The bending displacement and the rotation due to bending are assumed to be simple polynomials which satisfy all four boundary conditions. It is found that for certain polynomial variations of the material mass density, elastic modulus and shear modulus, along the length of the beam, the assumed polynomials serve as simple closed form solutions to the coupled second order governing differential equations with variable coefficients. It is found that there are an infinite number of analytical polynomial functions possible for material mass density, shear modulus and elastic modulus distributions, which share the same frequency and mode shape for a particular mode. The derived results are intended to serve as benchmark solutions for testing approximate or numerical methods used for the vibration analysis of rotating non-homogeneous Timoshenko beams.

Evolución de la eficiencia reproductiva en la finca piloto San José del municipio de Santo Tomás, Chontales. Area modelo del proyecto de mejoramiento de la productividad ganadera para los productores de pequeña y mediana escala

El presente estudio se realizo con el objetivo de determinar la evolución de la eficiencia reproductiva en la finca piloto San José del municipio de Santo tomas, del departamento de Chontales. Evolución de la Eficiencia Reproductiva en la Finca Piloto San José, en el Municipio de Santo Tomas Chontales. Area modelo del proyecto de Mejoramiento de la Productividad Ganadera para los Productores de Pequeña y Mediana Escala. La finca se sitúa entre las coordenadas 13º28’51’’ latitud norte y 70º77’02’’ longitud este, con altura de 420 msnm, con una precipitación promedio anual de 1600 a 2000 mm, con temperatura media anual de 25º a 27ºC. El presente estudio se evaluaron los diferentes índices reproductivos de la finca piloto San José, haciendo uso de los registros que se levantaron durante la etapa de ejecución del proyecto, realizando monitoreos periódicos como: pesajes de ganado y diagnósticos reproductivos, también se realizaba pesaje de leche y prueba de mastitis, estas actividades se realizan una vez al mes, pero con diferencias de 15 días por actividades. La producción total de leche obtenida en la finca fue de 49.500kg de leche durante un año, cuando el IPP fue de 12 meses. Cuando el IPP llego a los 24 meses la producción de leche fue de 27,000Kg. Se obtuvo que entre menor fueron los IPP y los ingresos de las finca fueron mayores. Cuando se alargaron los dias de ordeño también se alargaron los dias de secado. En el año 2005 el promedio del IPC era de 8.5 meses y en el año 2008 se redujo a 4.7 meses. En el año 2005 el IPP era de 18 meses y para el año 2008 se redujo a 14 meses. Para el invierno del 2005 se tenía promedios de 9 partos en invierno con relación al de verano que fue de 3 partos, luego en el verano del 2008 los partos se redujeron a 4 partos, pero en invierno aumentaron a 15 partos por época. El IPC para el 2005 correspondía a un 22 %, para el año 2008 se logro reducir a un 7.5 %. El IPP en el año 2005 fue del 45.7 % y para el 2008 se redujo a un22.4 %, prácticamente se redujo a un 50 %. En la finca piloto en el 2005 se contaba con 12 animales en ordeño y al año 2008 se incremento su número de animales productivos a 19 animales. La producción promedio por vaca siempre se mantuvo estable entre los 4 y 5 litros de leche por vaca, aumentado solamente la producción total de leche por día.

Implementación del Modelo de Red Causal en un texto narrativo en español

Resumen: El Modelo de Red Causal propone que la estructura causal de una historia y su representación en la memoria episódica se asemejan a una red, en la que los acontecimientos resultan de una combinación de antecedentes causales, que a su vez tienen múltiples consecuencias. El estudio de la comprensión de textos según este modelo ha tendido a llevarse a cabo utilizando textos experimentales en inglés. En razón de ello, el objetivo de este trabajo consistió en presentar la aplicación del Modelo de Red Causal a un texto narrativo natural en español, a fin de abogar por su utilidad para examinar los procesos cognitivos involucrados en la comprensión textual.

Alfonso X : un modelo de rey letrado

Integran este número de la revista ponencias presentadas en Studia Hispanica Medievalia VIII: Actas de las IX Jornadas Internacionales de Literatura Española Medieval, 2008, y de Homenaje al Quinto Centenario de Amadis de Gaula.

El modelo de gestión estratégica de recursos humanos como herramienta de desarrollo, crecimiento, eficiencia y modernización de la gestión pública

Resumen: El éxito de toda organización depende de una serie de factores, en su mayoría referidos a la actividad de recursos humanos. En esta esfera es donde surgen grandes desafíos signados por los cambios que se vienen produciendo en el mundo globalizado. Surge la necesidad de adquirir nuevas competencias en cuanto a cómo planificar y gerenciar los Recursos Humanos en tiempos de incertidumbre e inestabilidad. Resulta imperioso para las organizaciones contemporáneas desarrollar e implementar procesos de formación de directivos con una orientación gerencial más avanzada, a partir de un rediseño de su perfil de competencias que permita replantear su misión y redefinir muchas de sus funciones, donde sus recursos humanos juegan un rol protagónico. La Administración Pública no escapa a estos cambios, que inciden directamente sobre el Modelo de Gestión Estratégica de Recursos Humanos, al enfrentar con frecuencia grandes obstáculos y resistencia al cambio.

Estudio de la estabilidad de una variante del modelo de la telaraña

Resumen: Este artículo versa sobre una de las aplicaciones de las ecuaciones en diferencias finitas lineales de primer orden en el análisis económico de un problema. A partir del conocido modelo de la telaraña o modelo de cobweb se introducen, siguiendo a P. Cagan (1956), expectativas adaptativas y se obtiene una variante de dicho modelo. Se estudia la estabilidad de tal variante a partir del análisis del carácter de la sucesión de precios generada por la solución del modelo.