Contact with friction using the augmented Lagrangian Method: a conditional constrained minimization problem

This work presents a formulation of the contact with friction between elastic bodies. This is a non linear problem due to unilateral constraints (inter-penetration of bodies) and friction. The solution of this problem can be found using optimization concepts, modelling the problem as a constrained minimization problem. The Finite Element Method is used to construct approximation spaces. The minimization problem has the total potential energy of the elastic bodies as the objective function, the non-inter-penetration conditions are represented by inequality constraints, and equality constraints are used to deal with the friction. Due to the presence of two friction conditions (stick and slip), specific equality constraints are present or not according to the current condition. Since the Coulomb friction condition depends on the normal and tangential contact stresses related to the constraints of the problem, it is devised a conditional dependent constrained minimization problem. An Augmented Lagrangian Method for constrained minimization is employed to solve this problem. This method, when applied to a contact problem, presents Lagrange Multipliers which have the physical meaning of contact forces. This fact allows to check the friction condition at each iteration. These concepts make possible to devise a computational scheme which lead to good numerical results.

Inverse convection problem of simultaneous estimation of two boundary heat fluxes in parallel plate channels

This paper deals with the use of the conjugate gradient method of function estimation for the simultaneous identification of two unknown boundary heat fluxes in parallel plate channels. The fluid flow is assumed to be laminar and hydrodynamically developed. Temperature measurements taken inside the channel are used in the inverse analysis. The accuracy of the present solution approach is examined by using simulated measurements containing random errors, for strict cases involving functional forms with discontinuities and sharp-corners for the unknown functions. Three different types of inverse problems are addressed in the paper, involving the estimation of: (i) Spatially dependent heat fluxes; (ii) Time-dependent heat fluxes; and (iii) Time and spatially dependent heat fluxes.

Analysis of Regular and Irregular Dynamics of a Non Ideal Gear Rattling Problem

This paper presents a study on the dynamics of the rattling problem in gearboxes under non-ideal excitation. The subject has being analyzed by a number of authors such as Karagiannis and Pfeiffer (1991), for the ideal excitation case. An interesting model of the same problem by Moon (1992) has been recently used by Souza and Caldas (1999) to detect chaotic behavior. We consider two spur gears with different diameters and gaps between the teeth. Suppose the motion of one gear to be given while the motion of the other is governed by its dynamics. In the ideal case, the driving wheel is supposed to undergo a sinusoidal motion with given constant amplitude and frequency. In this paper, we consider the motion to be a function of the system response and a limited energy source is adopted. Thus an extra degree of freedom is introduced in the problem. The equations of motion are obtained via a Lagrangian approach with some assumed characteristic torque curves. Next, extensive numerical integration is used to detect some interesting geometrical aspects of regular and irregular motions of the system response.

Ethical research as the target of animal extremism: an international problem

Animal extremism has been increasing worldwide; frequently researchers are the targets of actions by groups with extreme animal rights agendas. Sometimes this targeting is violent and may involve assaults on family members or destruction of property. In this article, we summarize recent events and suggest steps that researchers can take to educate the public on the value of animal research both for people and animals

The false promises of the (second) Washington consensus: evidence from Latin America and the Caribbean (1990-2003)

The objective of this paper is twofold. Firstly, we show how, and to what extent, Latin American and Caribbean countries applied the precepts of the second Washington consensus, i.e. a consensus which stresses the capital account liberalization. Secondly, we highlight the effects of this set of reforms on their economies. Thus, we show that countries having most scrupulously followed these recommendations did not experience better economic results. On the contrary, their situation as regards inequality and debt is getting worse than others.

'TINA', Aids, and the underdevelopment problem in Africa

The assumption that 'There Is No Alternative' (TINA) to capitalism as practiced in the United States of America and Western Europe has been the bane of aids effectiveness in assisting to solve the underdevelopment problem in Africa. This paper attempts to show that except there is a fundamental reorientation in the conceptualization of capitalism-free market and democracy-the underdevelopment problem would only be further complicated with aids.

From gold money to fictitious money

ABSTRACT In the nineteenth century, money appear primarily as gold. In the twenty-first century, it appears as strictly fiduciary money. It is known that Marx said very clearly that the golden money was the effective basis of the monetary and credit system. Had the historical development finally shown that his theory of value and money would be false? Marxists have struggled continually with this problem. This paper tries to show that exist a simple and good answer to this crucial question. It comes just developing a little the dialectics of commodities and money found on Marx's Capital.