A scale variational principle of Herglotz

The Herglotz problem is a generalization of the fundamental problem of the calculus of variations. In this paper, we consider a class of non-differentiable functions, where the dynamics is described by a scale derivative. Necessary conditions are derived to determine the optimal solution for the problem. Some other problems are considered, like transversality conditions, the multi-dimensional case, higher-order derivatives and for several independent variables.

Achieving forms of sustainable and competitive tourism in coastal areas: the case of Baixo Vouga

Tourism has become the world’s largest industry, and has overcome economic sectors such as oil production and car manufacturing. It is foreseen that tourism will continue to expand in the future and will spread all around the world. In Europe, the tourism sector is made of 440 million international arrivals that are responsible for accounting about 10% of European GDP and generating 20 million jobs. Coastal destinations are major tourist destinations. This is due to their physical attractiveness, beautiful landscapes, and fine open space for leisure activities. Nevertheless, sun-sea-sand tourism depends very much on the environment. In this way, coastal destination ought to be properly planned so they do not exceed the limits of acceptable change (LAC) of the ecosystems, and keep their attractiveness. Being an economic activity, it is essential that coastal tourism is competitive, and show capacity to attracting new and enlarged markets. Coastal destinations should diversify its products and services, smooth seasonality and become more competitive. Diversification should create more growth and employment, and also reduce environmental, economic and social impact caused by the concentration of tourism activity in a few months of the year and the use of only the beach resource. This paper aims at analyzing the application of the competitiveness concept to tourism in coastal areas (Ria de Aveiro region, Central Portugal), and draws attention to the principle of environmental, economical and social sustainability.

Development of variable displacement oil pump for internal combustion engines

In the last years the need to develop more environmentally friendly and efficient cars as led to the development of several technologies to improve the performance of internal combustion engines, a large part of the innovations are focused in the auxiliary systems of the engine, including, the oil pump, this is an element of great importance in the dynamics of the engine as well a considerable energy consumer. Most solutions for oil pumps to this day are fixed displacement, for medium and high speeds, the pump flow rate is higher than the needs of the engine, this excess flow leads to the need for recirculation of the fluid which represents a waste of energy. Recently, technological advances in this area have led to the creation of variable displacement oil pumps, these have become a 'must have' due to the numerous advantages they bring, although the working principle of vane or piston pumps is relatively well known, the application of this technology for the automotive industry is new and brings new challenges. The focus of this dissertation is to develop a new concept of variable displacement system for automotive oil pumps. The main objective is to obtain a concept that is totally adaptable to existing solutions on the market (engines), both dimensionally as in performance specifications, having at the same time an innovative mechanical system for obtaining variable displacement. The developed design is a vane pump with variable displacement going in line with existing commercial solutions, however, the variation of the eccentricity commonly used to provide an variable displacement delivery is not used, the variable displacement is achieved without varying the eccentricity of the system but with a variation of the length of the pumping chamber. The principle of operation of the pump is different to existing solutions while maintaining the ability to integrate standard parts such as control valves and mechanical safety valves, the pump is compatible with commercial solutions in terms of interfaces for connection between engine systems and pump. A concept prototype of the product was obtained in order to better evaluate the validity of the concept. The developed concept represents an innovation in oil pumps design, being unique in its mechanical system for variable displacement delivery.