Lagrange Equations
Mostrando 1-12 de 40 artigos, teses e dissertações.
-
1. 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
-
2. Large Displacement Static Analysis of Composite Elliptic Panels of Revolution having Variable Thickness and Resting on Winkler-Pasternak Elastic Foundation
Abstract Nonlinear static response of laminated composite Elliptic Panels of Revolution Structure(s) (EPRS) having variable thickness resting on Winkler-Pasternak (W-P) Elastic Foundation is investigated in this article. Generalized Differential Quadrature (GDQ) method is utilized to obtain the numerical solution of EPRS. The first-order shear deformation th
Lat. Am. j. solids struct.. Publicado em: 20/12/2019
-
3. Exact and inexact differentials in the early development of mechanics and thermodynamics
Abstract We give an account and a critical analysis of the use of exact and inexact differentials in the early development of mechanics and thermodynamics, and the emergence of differential calculus and how it was applied to solve some mechanical problems, such as those related to the cycloidal pendulum. The Lagrange equations of motions are presented in the
Rev. Bras. Ensino Fís.. Publicado em: 02/12/2019
-
4. Reduced-order strategy for meshless solution of plate bending problems with the generalized finite difference method
Abstract This paper presents some recent advances on the numerical solution of the classical Germain-Lagrange equation for plate bending of thin elastic plates. A meshless strategy using the Generalized Finite Difference Method (GFDM) is proposed upon substitution of the original fourth-order differential equation by a system composed of two second-order par
Lat. Am. j. solids struct.. Publicado em: 04/02/2019
-
5. Mathematical Description of a Flexible Connection of Links and its Applications in Modeling the Joints of Spatial Linkage Mechanisms
Abstract The general mathematical model of a flexible connection of links by means of spring-damping elements is presented in the paper. The formalism of homogeneous transformation matrices is used to derive formulas for the energy of spring deformation and the Rayleigh dissipation function of the spring-damping elements. The formulas have convenient forms t
Lat. Am. j. solids struct.. Publicado em: 2016-12
-
6. Kelvin Viscoelasticity and Lagrange Multipliers Applied to the Simulation of Nonlinear Structural Vibration Control
Abstract This study proposes a new pure numerical way to model mass / spring / damper devices to control the vibration of truss structures developing large displacements. It avoids the solution of local differential equations present in traditional convolution approaches to solve viscoelasticity. The structure is modeled by the geometrically exact Finite Ele
Lat. Am. j. solids struct.. Publicado em: 2016-05
-
7. 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
-
8. Vibration suppression of a rotating flexible cantilever pipe conveying fluid using piezoelectric layers
AbstractIn this study, the governing equations of a rotating cantilever pipe conveying fluid are derived and the longitudinal and lateral induced vibrations are controlled. The pipe considered as an Euler Bernoulli beam with tip mass which piezoelectric layers attached both side of it as sensors and actuators. The follower force due to the fluid discharge ca
Lat. Am. j. solids struct.. Publicado em: 2015-06
-
9. Application of the rigid finite element method to modelling ropes
Two-dimensional motion of a rope fixed at one end is considered. The Rigid Finite Element Method (RFEM) is reviewed and applied to obtain a model of the rope, including its elastic and dissipative properties. Equations of motion are derived without the small displacement assumption, using the Lagrange equations. The resulting model is compared to another one
Lat. Am. j. solids struct.. Publicado em: 2013-01
-
10. Analysis of flexibility of the support and its influence on dynamics of the grab crane
Dynamic analysis of the model of the grab crane with the flexibly supported base is presented in the paper. The analyzed grab crane is the structure of the open-loop kinematic chain with rigid links. Joint coordinates and homogenous transformations are used in order to describe dynamic behavior of the system. Equations of the motion of the systems are derive
Lat. Am. j. solids struct.. Publicado em: 2013-01
-
11. Existência de soluções para equações elípticas semilineares envolvendo não linearidades do tipo côncavo-convexas
O objetivo da nossa dissertação é provar a existência de soluções para uma classe de equações elípticas semilineares em um domínio limitado, envolvendo não linearidades do tipo côncavo-convexas. Mostraremos alguns casos diferentes e métodos diversicados para encontrar tais soluções, usando o Teorema do Passo da Montanha, o Princípio Variacion
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 31/07/2012
-
12. Empacotamento em quadráticas / Packing on quadrics
Neste trabalho, serão propostos modelos matemáticos para problemas de empacotamento não reticulado de esferas em regiões limitadas por quadráticas no plano e no espaço. Uma técnica para construir representações ou parametrizações será introduzida, mediante a qual será possível encontrar um sistema de desigualdades que determinam o empacotamento
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 16/03/2012