Non-linear analysis of composite structures with integrated piezoelectric sensors and actuators

This paper deals with the geometrically non linear analysis of thin plate/shell laminated structures with embedded integrated piezoelectric actuors or sensors layers and/or patches.The model is based on the Kirchhoff classical laminated theory and can be applied to plate and shell adaptive structures with arbitrary shape, general mechanical and electrical loadings. the finite element model is a nonconforming single layer triangular plate/shell element with 18 degrees of fredom for the generalized displacements and one eçlectrical potential degree of freedom for each piezoelectric layer or patch. An updated Lagrangian formulation associated to Newton-Raphson technique is used to solve incrementally and iteratively the equilibrium equation.The model is applied in the solution of four illustrative cases, and the results are compared and discussedwith alternative solutions when available.

Non-linear analysis of piezolaminated structures

In the recent years the study of smart structures has attracted significant researchers, due to their potential benefits in a wide range of applications, such as shape control, vibration suppression, noise attenuation and damage detection. The applications in aerospace industry are of great relevance, such as in active control of airplane wings, helicopter blade rotor, space antenna. The use of smart materials, such as piezoelectric materials, in the form of layers or patches embedded and/or surface bonded on laminated composite structures, can provide structures that combine the superior mechanical properties of composite materials and the capability to sense and adapt their static and dynamic response, becoming adaptive structures. The piezoelectric materials have the property of generate electrical charge under mechanical load or deformation, and the reverse, applying an electrical field to the material results in mechanical strain or stresses.

Aims of education and well-being as absence of disorder

This thesis offers an original account of what personal well-being can be. Any account of education, it is believed, has to do with and aims at personal well-being. I approach this view on well-being not in a positive but in a negative way. I put forward some items that in certain circumstances can be taken by and called sources or forms of disorder. In the absence of such forms or sources of disorder, I assume that a certain order, prudential or moral, takes place and that constitutes the well-being of the person. The concept of ‘absence of disorder’ is introduced and argued as an educationally appropriate view of personal well-being which is the central educational aim. Therefore, ‘absence of disorder’ is positioned as the central aim of education. This concept is illuminated, for practical reasoning, by a list of seven possible forms of disorder: Comparison, Corruption, Dependency, Division, Fear, Self-disintegration and Violence. As a view of personal well-being, ‘absence of disorder’ is initially rooted in informed desire satisfaction, via the introduction of the concept of entropy. Prudentially, the agent’s informed desire is satisfied by living a life with low build up of entropy or disorder. But, in a second move such a base is also provided by the Levinasinian concept of ‘disinterest’ as a root for ‘what is to be a human’. Such ‘disinterest’ is related to the concepts of love and of ‘action for its own sake’. It is at this final approach that an attempt is made towards the approximation of the ethical and the prudential aspects of social practices. Even if only to some extent successful, the argument is directed to the following conclusion: an education aiming at ‘absence of disorder’ may promote prudential well-being and give us some confidence in simultaneously favouring moral education.