Transverse Vibrations in Beams Supported by a Piece-Wise Homogeneous Visco- Elastic Foundation

Transversal vibrations induced by a load moving uniformly along an infinite beam resting on a piece-wise homogeneous visco-elastic foundation are studied. Special attention is paid to the additional vibrations, conventionally referred to as transition radiations, which arise as the point load traverses the place of foundation discontinuity. The governing equations of the problem are solved by the normalmode analysis. The solution is expressed in a form of infinite sum of orthogonal natural modes multiplied by the generalized coordinate of displacement. The natural frequencies are obtained numerically exploiting the concept of the global dynamic stiffness matrix. This ensures that the frequencies obtained are exact. The methodology has restrictions neither on velocity nor on damping. The approach looks simple, though, the numerical expression of the results is not straightforward. A general procedure for numerical implementation is presented and verified. To illustrate the utility of the methodology parametric optimization is presented and influence of the load mass is studied. The results obtained have direct application in analysis of railway track vibrations induced by high-speed trains when passing regions with significantly different foundation stiffness.

Fuel switching

The present Master dissertation is a project whose main objective is to identify value creation opportunities through fuel switching in the Portuguese industry, services, agriculture and fishing sectors. Fuel switching opportunities are characterized by type of fuel transition, type of technology transition, economy subsectors prone to have fuel switching and value created through fuel shift. Results suggest tomato concentrate, dairy, beer manufacturing and sugar refining subsectors is where prevalence of fuel oil steam boilers is high, for such cases conversion to natural gas steam boilers should result in operations having a ratio of NPV over CAPEX larger than ten and a payback period just under one year. Results further suggest food, beverages, textile, chemicals and wood subsectors currently operate between ten and twenty cogeneration Diesel engines that can be either modified to operate with natural gas or replaced by new natural gas cogeneration systems. Financial modeling indicates that both options have great value creation potential. The current analysis aims to be used by natural gas suppliers and energy project promoters to identify new potential deals as well as by heavy energy consumers to mitigate their energy related costs.