Euler Equations
Mostrando 1-12 de 86 artigos, teses e dissertações.
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1. A Numerical Study of Linear Long Water Waves over Variable Topographies using a Conformal Mapping
ABSTRACT In this work we present a numerical study of surface water waves over variable topographies for the linear Euler equations based on a conformal mapping and Fourier transform. We show that in the shallow-water limit the Jacobian of the conformal mapping brings all the topographic effects from the bottom to the free surface. Implementation of the nume
Trends in Computational and Applied Mathematics. Publicado em: 2022
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2. On Euler-Lagrange’s Equations: A New Approach
RESUMO Um novo formalismo é proposto para estudar a dinâmica de sistemas mecânicos compostos por N corpos rígidos conectados, introduzindo o conceito de vetores compostos 6N-dimensionais. A abordagem é baseada em trabalhos anteriores dos autores, nos quais um formalismo completo foi desenvolvido por meio dos conceitos usuais de geometria diferencial, á
TEMA (São Carlos). Publicado em: 2020-08
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3. A NEW COMPUTATIONAL FLUID DYNAMICS STUDY OF A LIQUID-LIQUID HYDROCYCLONE IN THE TWO PHASE CASE FOR SEPARATION OF OIL DROPLETS AND WATER
Abstract A liquid-liquid hydrocyclone, so-called de-oiling equipment, was investigated for separation of oil droplets and wastewater in an Iranian petroleum unit. To generate the geometry and the mesh of the hydrocyclone Gambit software was used. Afterwards, by taking advantage of the Euler-Lagrangian principle, the governing equations covering the motion of
Braz. J. Chem. Eng.. Publicado em: 13/01/2020
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4. Design of Attitude Control Servomechanisms with Fluid Ring and CMG for Rigid Satellite
ABSTRACT: Satellites cover a wide range of space missions as remote sensing. Accomplishment of the mission depends on satellite's stability maintenance and direction. The main task of the attitude control system is to provide stability to the satellite against external disturbances. Such perturbations are caused due to aerodynamic drag, solar radiation and m
J. Aerosp. Technol. Manag.. Publicado em: 08/11/2018
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5. Finite element formulation and analysis of a functionally graded Timoshenko beam subjected to an accelerating mass including inertial effects of the mass
Abstract This study describes a new finite element method that can be used to analyse transverse and axial vibrations of a Functionally Graded Material (FGM) beam under an accelerating / decelerating mass. The differential equations of the FGM beam are obtained using First-order Shear Deformation Theory (FSDT). In these equations, the interaction terms of ma
Lat. Am. j. solids struct.. Publicado em: 08/10/2018
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6. Nonlinear Vibration Analysis of Euler-Bernoulli Beams by Using Continuous Galerkin-Petrov Time-Discretization Method
Abstract In this paper, we present a new numerical method for nonlinear vibrational analysis of Euler-Bernoulli beams. Our approach is based on the continuous Galerkin-Petrov time discretization method. The Euler-Bernoulli beam equation which governs its vibrations is transformed into set of ordinary differential equations and the presented method is employe
Lat. Am. j. solids struct.. Publicado em: 2017-09
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7. Leonhard Euler's “principle of mechanics” (an essay on the foundations of the equations of motion)
Leonhard Euler derived equations of motion for both (in modern terminology) point mass mechanics and analytic mechanics. In order to derive the equations, some dynamic premise has to be introduced; this is the “principle of mechanics”. It stems from the recognition that infinitesimal motions are uniformly accelerated. Then, using Galileo Galilei's theore
Rev. Bras. Ensino Fís.. Publicado em: 22/05/2017
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8. A C1 Beam Element Based on Overhauser Interpolation
Abstract A new C1 element is proposed to model Euler-Bernoulli beams in one and two-dimensional problems. The proposed formulation assures C1 continuity requirement without the use of rotational degrees of freedom, used in traditional elements, through the use of an Overhauser interpolation scheme for bending displacements. The principle of virtual displacem
Lat. Am. j. solids struct.. Publicado em: 2017-01
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9. MODELING AND ANALYSIS OF UNSTEADY FLOW BEHAVIOR IN DEEPWATER CONTROLLED MUD-CAP DRILLING
Abstract A new mathematical model was developed in this study to simulate the unsteady flow in controlled mud-cap drilling systems. The model can predict the time-dependent flow inside the drill string and annulus after a circulation break. This model consists of the continuity and momentum equations solved using the explicit Euler method. The model consider
Braz. J. Chem. Eng.. Publicado em: 2016-03
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10. Dynamic Analysis of Maneuvering Flexible Spacecraft Appendage Using Higher Order Sandwich Panel Theory
Abstract This paper is devoted to the vibration of rotating flexible spacecraft. The maneuver of the spacecraft is modeled by a constant torque input acting on the hub. For the first time in this paper the equations of motion of flexible spacecraft are derived based on higher order sandwich panel theory (HSAPT). Hamilton's principle is used for driving the g
Lat. Am. j. solids struct.. Publicado em: 2016-02
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11. Control of a Support Excitation Smart Beam Subjected to a Follower Force with Piezoelectric Sensors/Actuators
Abstract In this paper, an active control is used to suppress the flutter vibration of a support excitation beam subjected to a follower force, using piezoelectric sensors/actuators. The beam is fixed to a motion support from one end and the other end is subjected to a follower force. The governing equations of motion are derived based on the generalized fun
Lat. Am. j. solids struct.. Publicado em: 2015-12
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12. Large amplitude free vibration of micro/nano beams based on nonlocal thermal elasticity theory
Abstract This paper is concerned with the nonlinear free vibration of a heated micro/nano beam modeled after the nonlocal continuum elasticity theory and Euler-Bernoulli beam theory. The governing partial differential equations are derived from the Hamilton variational principle and von Kármán geometric nonlinearity, in which the effects of the nonlocality
Lat. Am. j. solids struct.. Publicado em: 2015-10