Free vibrations of non-linear cubic spring mass systems in the presence of coulomb damping

An exact solution for the free vibration problem of non-linear cubic spring mass system with Coulomb damping is obtained during each half cycle, in terms of elliptic functions. An expression for the half cycle duration as a function of the mean amplitude during the half cycle is derived in terms of complete elliptic integrals of the first kind. An approximate solution based on a direct linearization method is developed alongside this method, and excellent agreement is obtained between the results gained by this method and the exact results. © 1970 Academic Press Inc. (London) Limited.

Use of Abel integral equations in water wave scattering by two surface-piercing barriers

In this paper the classical problem of water wave scattering by two partially immersed plane vertical barriers submerged in deep water up to the same depth is investigated. This problem has an exact but complicated solution and an approximate solution in the literature of linearised theory of water waves. Using the Havelock expansion for the water wave potential, the problem is reduced here to solving Abel integral equations having exact solutions. Utilising these solutions,two sets of expressions for the reflection and transmission coefficients are obtained in closed forms in terms of computable integrals in contrast to the results given in the literature which,involved six complicated integrals in terms of elliptic functions. The two different expressions for each coefficient produce almost the same numerical results although it has not been possible to prove their equivalence analytically. The reflection coefficient is depicted against the wave number in a number of figures which almost coincide with the figures available in the literature wherein the problem was solved approximately by employing complementary approximations. (C) 2009 Elsevier B.V. All rights reserved.

An exact analysis of free vibrations of simply-supported viscoelastic plates

In this paper an exact three-dimensional analysis for free vibrations of a class of simply-supported viscoelastic rectangular plates is given. The characteristic equation defining the eigenvalues is of closed form. Some numerical results are presented for standard linear solids. Results from thin plate and Mindlin theories are also given for the purpose of comparison.

Flow of a power law fluid in an annulus with porous walls

The steady flow of a power law fluid in annuli with porous walls is investigated. The solution for the axial velocity component is obtained as a power series in terms of the cross flow Reynolds number, the first term of the series giving the solution for the case of the solid wall annulus. The cross flow is restricted to be such that the rate of injection of fluid at one wall of the annulus is equal to the rate of suction at the other wall and also we have considered only very small values of the cross flow velocity. The velocity profiles are drawn for different values of n and for different gaps and the results are discussed in detail. The behaviour of the average flux, in different eases is also discussed.

A fourier-integral solution for the elastic quarter-plane

The problem of an elastic quarter-plane with arbitrary loadings on the boundaries has been solved using a Fourier-integral approach.

Ultrasonic studies in chemically active liquid media (1) aqueous solution of N2O4

Using a pulse method the ultrasonic absorption has been studied in the frequency range of 2 to 10 Mc/s in dilute aqueous solutions of nitrogen tetroxide gas at room temperature. The absorption peaks (αλ vs frequency) observed in this study are attributed to the ionic dissociation reaction of the nitrous acid into its constituent ions. The rate constants of the forward and backward reactions are calculated using the theory of Tabuchi. The variation of the logarithm of the rate constant of the bimolecular ionic reaction, namely, log10 kb, with the square root of ionic strength qualitatively follows Brönsted's theory for ionic reactions in solutions.

What do hydrological time series tell about climate change?

Yhteenveto: Mitä hydrologiset mallit kertovat ilmaston muutoksesta?

Tyttöjen kesken : Monikulttuurisuus ja sukupuolten tasa-arvo nuorisotyössä.

Among Girls Youth Work, Multiculturalism and Gender Equality Finland s increasingly multicultural society concerns younger generations in a very particular manner. Starting already in pre-school kindergartens, children from different cultural backgrounds share their everyday existence. The focus of this study is Finland s increasingly multicultural society that has challenged youth work professionals in particular and made them rethink questions related to content, basic values and goals of youth work. These reconsiderations include the following essential questions: which of these pedagogic principles are defined as Finnish, and under what kinds of circumstances would the youth workers be ready to negotiate about them. These questions, which are related to multiculturalism, are then linked to the girls position, status and gender equality. The research examines how gender equality is articulated in relation to multiculturalism and vice versa, in what contexts youth work-related questions are negoatiated in, and how these negotiations then relate to gender issues. The present study combines theoretical concepts and debates from both post-colonial and youth research, and has benefited greatly from previous research which has examined the everyday lives of young people with multicultural backgrounds and conceptualised the different meanings of age, ethnicity, culture and gender. Neither multiculturalism nor gender equality is, however, taken as a given concept in this study; rather the research focuses on how youth workers understand and define these concepts and how they are used. The emphasis has been on monitoring the varying consequences of different understandings and definitions in terms of everyday work and practices. The goal of this study has been to find typical ways of conceptualising multiculturalism, gender equality and the role of girls in the context of youth work. The focus of the research is not just the youth workers different views but also the notions of the girls themselves. These are then further analysed by examining the ways the girls negotiate their agency. Examples of how the girls agency is defined and the different forms of agency that are offered to the girls within the context of leisure time activities and youth work have been sought. The kind of agency the girls then assume is also examined. The data in this research is comprised of interviews with young people with multicultural backgrounds (n=39), youth workers (n=42) and of ethnographic fieldwork (2003 2005). The fieldwork concentrated on following different types of youth work activities that were targeted at girls with migrant backgrounds. These were organized both by selected municipalities and NGOs. The research shows that various questions related to multicultural issues have enhanced the visibility of gender equality in the field of youth work. The identification of gender-based inequality is especially closely linked to the position of girls from migrant backgrounds. These girls are a source of particular worry and the aim of the many activity groups for migrant girls is to educate them so that they can become equal Finnish citizens . The youth work itself is seen as gender-neutral and equality based. Equality in this context is defined as a purely quantitative concept, and the solution to any possible inequalities is thus the exact same treatment for everyone . The girls themselves seem mainly confused by the role that is offered to them. They would need a voice and the possibility to have an impact on the planning of youth work activities. They want to have their views heard. The role of the victim assigned to them is very confining and makes it difficult to act. At the same time the research shows how gender-sensitive youth work is seen to mean youth work with girls. Gender-sensitive work with boys is not really done or is done very little, even if many of the interviewees are of the opinion that the true materialization of gender equality would require boys to be taken into account too. The principle of gender equality should be shared by the entire youth work profession. Keywords Youth work, equality, multiculturalism, gender sensitivity, agency, girls, young people, sexuality

Equivalent constitutive model-based design of wave-absorbing material system and controller

A design methodology for wave-absorbing active material system is reported. The design enforces equivalence between an assumed material model having wave-absorbing behavior and a set of target feedback controllers for an array of microelectro-mechanical transducers which are integral part of the active material system. The proposed methodology is applicable to problems involving the control of acoustic waves in passive-active material system with complex constitutive behavior at different length-scales. A stress relaxation type one-dimensional constitutive model involving viscous damping mechanism is considered, which shows asymmetric wave dispersion characteristics about the half-line. The acoustic power flow and asymptotic stability of such material system are studied. A single sensor non-collocated linear feedback control system in a one-dimensional finite waveguide, which is a representative volume element in an active material system, is considered. Equivalence between the exact dynamic equilibrium of these two systems is imposed. It results in the solution space of the design variables, namely the equivalent damping coefficient, the wavelength(s) to be controlled and the location of the sensor. The characteristics of the controller transfer functions and their pole-placement problem are studied. (c) 2005 Elsevier Ltd. All rights reserved.