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Showing 1 to 20 of 21 for “"Saint-Venant"”.
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Exponential Decay for the Saint-Venant Principle
… spectral theory, we show that in our formulation Saint-Venant's principle is true for a class of stored energy functions of the type W = 1/2u('2) + Q(u(,,1),u(,,2)), where u is the displacement along the t-axis. By using the theory of stable manifolds, we also prove the existence of a mild …
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The De Saint-Venant equations in curved channels
… are in terms of the straight channel de Saint-Venant equations. The discussion also considers some aspects of the diffusion model which raise questions as to the appropriateness of the usual engineering approach to this model. As to date, these models treat curvature cursorily, if at all, …
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Resultados sobre a forma fraca do princípio de Saint-Venant
… chapters. In the first chapter, a review on Saint-Venant' s problem (torsion and flexion of beams) is made and the necessity of the so-called "Saint-Venant's Hypotesis" is indicated. The generalizations of the hypotesis made by Boussinesq and Love, as well as Sernberg's and Zanaboni's …
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Solução das equações de Saint-Venant por um modelo de elementos finitos espaço-temporal
The partial differential equations of Saint-Venant are the mathematical expression used to describe phenomena of free surface transient flows being an example of pratical importance the flood wave routing in rivers. The main purpose of this thesis is to present a solution for such equations through …
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Dynamic Wave Simulation of Unsteady Open Channel and Surcharge Flows in Sewer Networks (saint-Venant Equations, Four-Point Implicit Finite Difference, Storm Sewer Drainage, Urban Hydrology)
… mathematically using the unsteady open-channel Saint-Venant equations. In either case, a reliable simulation model is required to represent the flow process properly.
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Sensitivity of flood-routing models to variations of momentum equation coefficients and terms
The Saint-Venant equations consist of a continuity equation and a well-known dynamic wave equation. The dynamic wave equation is actually a simplification from a more complicated exact momentum equation by assuming some coefficients as constants and neglecting some terms involved in the exact …
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Mechanics of swellable elastomeric seals
… system. We nd an approximate, linear elastic Saint-Venant type solution that agrees well with nonlinear (finite deformation neo-Hookean) finite element simulations, indicating nonlinear effects are unimportant in the bulk of the seal, and only important at the high-pressure and low-pressure …
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Stress Interference in Axisymmetric Torsion of a Transversely Isotropic Body (Elasticity, Solid Mechanics, Anisotropic, Stress Concentration)
… the cavities the elastic field approaches the Saint-Venant solution for the torsion of a circular cylinder. The elasticity solution is obtained in series form and numerical results presented for the case of two spherical cavities. Of primary interest is the degree of stress interference between …
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Numerical Methods for Parameter Estimation and Optimal Control of the Red River Network
… model of the Red River system is based on the Saint-Venant equation system, which consists of two nonlinear first-order hyperbolic Partial Differential Equations (PDE) in space and in time. In general a system of equations of this type can not be solved analytically. Therefore I choose a …
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Développement de méthodes particulaires pour la résolution des écoulements à surface libre
… à surface libre en utilisant le système de Saint-Venant homogène. Une étude mathématique variationnelle révèle que cette méthode aboutit à une formulation symétrique et donc numériquement instable. Le schéma obtenu est stabilisé par un décentrage (upwinding) qui consiste à introduire une …
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Numerical Modeling and Analysis of Composite Beam Structures Subjected to Torsional Loading
… formulation of the torsion problem based on Saint Venant's torsion theory. The eigenfunction expansion method was employed to solve the formulated problem. The analytical method is proposed in this study enabling one to solve the torsion problem of laminated composite beams. Instead of …
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Application and enhancement of the SRM model
… numer- ical calculation. It is based on the Saint-Venant equations and works under the quasi steady dynamic wave assumption. It rst creates HPGs and VPGs (respectively upstream water surface elevation and storage as function of the discharge and the downstream water surface elevation) and …
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Método de elementos de contorno de reciprocidad dual aplicado a la termoelasticidad anisótropa desacoplada
… de Poisson, Lamé, Green, Piola, Kirchhoff y Saint-Venant. A mediados del siglo XX el estudio de la Elasticidad cobra de nuevo impulso, posiblemente debido a las aplicaciones tecnológicas de los nuevos materiales que aparecen. Merece especial importancia el estudio de las láminas finas en …
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Modeling transient flow in intermittent water supply System
… finite volume solution of the governing 1-D Saint Venant equations using the Preismann slot approximation. The current thesis extends and refines the algorithms proposed by Lieb to enable more robust simulations for pipe networks. Specific modification include algorithms for dry pipes and …
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Applicability of Hydraulic Performance Graph for Unsteady Flow Routing
… Traditionally, in hydraulic flow routing the Saint-Venant equations, or their approximations, are solved numerically. It is unclear from the solution how much of the wave damping and phase shifting is physical and how much is numerical. Moreover, because numerical solutions depend on the …
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Shallow Water Wave Propagation in Open Channel Flow
… It can be mathematically approximated by the Saint-Venant equations or by simplified wave approximations, including the kinematic wave, noninertia wave, gravity wave and quasi-steady dynamic wave models. These approximations differ not only in their computational complexities, but also in the …
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Spatial Variability in Seepage from Unlined, Open Channels
… the diffusion analogy to the shallow-water (Saint-Venant) equations was developed as a step toward estimating seepage losses from unlined channels.Comparison of numerical models showed that a 1D model can be useful when a simple, comparatively low-cost estimate of seepage from streambed …
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Bore Generation, Propagation, and Impact on Coastal Structures
… the GreenNaghdi (GN) equations, and the Saint-Venant (SV) equation.<br/><br/>First, free surface flows of two and three dimensional bores generated by breaking of a water reservoir are studied. Two types of bore generations are considered, namely (i) bore generated by dam-break, where the …
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Control de minicentrales hidroeléctricas fluyentes : modelado y estabilidad
… partir de la linealización de las ecuaciones de Saint Venant y el posterior desarrollo de su matriz de transferencia que permite su conexión con los demás componentes del modelo. Una vez elaborados los modelos se procede al estudio de la estabilidad en pequeña perturbación de la central en …
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Air slide basic modelling
… non- Newtonian model developed from the general Saint-Venant model of open channel in a rectangular channel has been applied as a second step. Such theoretical mechanistic models, based on the mass and momentum balance with bottom friction along the powder bed, are numerically challenging to …
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