Exact Solution of the Elastica with Transverse Shear Effects

A new derivation of Euler's Elastica with transverse shear effects included is presented. The elastic potential energy of bending and transverse shear is set up. The work of the axial compression force is determined. The equation of equilibrium is derived using the variation of the total potential. Using substitution of variables an exact solution is derived. The equation is transcendental and does not have a closed form solution. It is evaluated in a dimensionless form by using a numerical procedure. Finally, numerical examples of laminates made of composite material (fiber reinforced) and sandwich panels are provided.

A BOUNDARY ELEMENT FORMULATION FOR MASONRY WALLS: NON-LINEAR ANALYSIS

In this work, a non-linear Boundary Element Method (BEM) formulation with damage model is extended for numerical simulation of structural masonry walls in 2D stress analysis. The formulation is reoriented to analyse structural masonry, the component materials of which, clay bricks and mortar, are considered as damaged materials. Also considered are the internal variables and cell discretization of the domain. A damage model is used to represent the material behaviour and the domain discretization is also proposed and discussed. The paper presents the numerical parameters of the damage model for the material properties of the masonry components, clay bricks and mortar. Some examples are shown to validate the formulation.

Simulação e controle de um quadcopter utilizando lógica fuzzy

The present work develops a model to simulate the dynamics of a quadcopter being controlled by a PD fuzzy controller. Initially is presented a brief history of quadcopters an introduction to fuzzy logic and fuzzy control systems. Afterwards is presented an overview of the quadcopter dynamics and the mathematical modelling development applying Newton-Euler method. Then the modelling are implemented in a Simulink model in addition to a PD fuzzy controller. A prototype proposition is made, by describing each necessary component to build up a quadcopter. In the end the results from the simulators are discussed and compared due to the discrepancy between the model using ideal sensor and the model using non-ideal sensors

Análise estrutural de Tie-Rod pelo método dos elementos finitos e através de cálculos analíticos

Currently one of the great concerns of the aeronautical industry is in relation to the security and integrity of the aircraft and its equipments / components when under critical flight maneuvers such as during landing / takeoff and emergency maneuvers. The engineers, technicians and scientists are constantly developing new techniques and theories to reduce the design time and testing, ir order to minimize costs. More and more the Finite Element Method is used in the structural analysis of a project as well as theories based on experimental results. This work aimed to estimate the critical load to failure for tensile, compression and buckling of the Tie-Rod, a fixture aircraft widely used on commercial aircrafts. The analysis was performed by finite element method with the assistance of software and by analytical calculations. The results showed that the Finite Element Method provides relative accuracy and convenience in the calculations, indicating critical load values slightly lower than those found analytically for tension and compression. For buckling, the Finite Element Method indicates a critical load very similar to that found analytically following empirical theories, while Euler's theory results in a slightly higher value. The highest risk is to fail by buckling, but the geometric irregularity of Tie-Rod pieces makes difficult the calculations, therefore a practical test must be done before validation of the results

Análise da estabilidade do movimento rotacional de satélites artificiais com quatérnions e sob a influência de torques externos

The aim of this work is to analyze the stability of the rotational motion’s artificial satellite using the Routh Hurwitz Algorithm (CRH) and the quaternions to describe the satellite’s attitude. This algorithm allows the investigation of the stability of the motion using the coefficients of the characteristic equation associated with the equation of the rotational motion in the linear form. The equations of the rotational motion are given by the four cinematic equations for the quaternion and the three equations of Euler for the spin velocity’s components. In the Euler equations are included the components of the gravity gradient torque (TGG) and the solar radiation torque (TRS). The TGG is generated by the difference of the Earth gravity force direction and intensity actuating on each satellite mass element and it depends on the mass distribution and the form of the satellite. The TRS is created by changing of the linear momentum, which happens due to the interactions of solar photons with the satellite surface. The equilibrium points are gotten by the equation of rotational motion and the CRH is applied in the linear form of these equations. Simulations are developed for small and medium satellites, but the gotten equilibrium points are not stable by CRH. However, when some of the eigenvalues of the characteristic equation are analyzed, it is found some equilibrium points which can be pointed out as stables for an interval of the time, due to small magnitude of the real part of these eigenvalue

Controle ativo de vibrações em vigas utilizando controle feedforward e elementos espectrais

Pós-graduação em Engenharia Mecânica - FEB

História do número e: gênese e aplicações

The aim of this paper is to present some fundamental aspects of the history of the number e, in particular those related to its origin, a little uncertain, and their unavoidable presence in the most diverse applications in various branches of science. We will highlight the importance of this number in compound interest problems, in the Napier’s logarithms, in the quadrature of the hyperbola, in the catenary problem and mostly in the lush Euler’s contribution to the subject.

Soluções numéricas de Equações Diferenciais Fracionária e Ordinária para o cálculo da distribuição da concentração em um sistema de compartimento

The purpose of this work was the study of numerical methods for differential equations of fractional order and ordinary. These methods were applied to the problem of calculating the distribution of the concentration of a given substance over time in a given physical system. The two compartment model was used for representation of this system. Comparison between numerical solutions obtained were performed and, in particular, also compared with the analytical solution of this problem. Finally, estimates for the error between the solutions were calculated

Análise não linear de chapas através de uma formulação do método dos elementos de contorno com convergência quadrática

Pós-graduação em Engenharia Civil - FEIS

Modelo distribuído aplicado à análise de evaporadores do tipo tubo aletado

Pós-graduação em Engenharia Mecânica - FEIS

Aspectos teórico-numéricos dos métodos SPH e MPS

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Solução das equações de Navier-Stokes e da equação de transporte por um método de elementos finitos estabilizado pela técnica de separação baseada na característica

Pós-graduação em Engenharia Mecânica - FEIS

Explorando o universo dos números primos

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Métodos numéricos para equações diferencias ordinárias

Pós-graduação em Matemática Universitária - IGCE

Um estudo da geometria projetiva elíptica

Pós-graduação em Matemática Universitária - IGCE