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An Introduction to Modern Variational Techniques in Mechanics and Engineering

An Introduction to Modern Variational Techniques in Mechanics and Engineering

Bozidar D. Vujanovic; Teodor M. Atanackovic

Birkhauser Boston Inc
2003
sidottu
This book is devoted to the basic variational principles of mechanics: the Lagrange-D'Alembert differential variational principle and the Hamilton integral variational principle. These two variational principles form the main subject of contemporary analytical mechanics, and from them the whole colossal corpus of classical dynamics can be deductively derived as a part of physical theory. In recent years students and researchers of engineering and physics have begun to realize the utility of variational principles and the vast possi­ bilities that they offer, and have applied them as a powerful tool for the study of linear and nonlinear problems in conservative and nonconservative dynamical systems. The present book has evolved from a series of lectures to graduate stu­ dents and researchers in engineering given by the authors at the Depart­ ment of Mechanics at the University of Novi Sad Serbia, and numerous foreign universities. The objective of the authors has been to acquaint the reader with the wide possibilities to apply variational principles in numerous problems of contemporary analytical mechanics, for example, the Noether theory for finding conservation laws of conservative and nonconservative dynamical systems, application of the Hamilton-Jacobi method and the field method suitable for nonconservative dynamical systems,the variational approach to the modern optimal control theory, the application of variational methods to stability and determining the optimal shape in the elastic rod theory, among others.
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An Introduction to Modern Variational Techniques in Mechanics and Engineering

An Introduction to Modern Variational Techniques in Mechanics and Engineering

Bozidar D. Vujanovic; Teodor M. Atanackovic

Springer-Verlag New York Inc.
2012
nidottu
This book is devoted to the basic variational principles of mechanics: the Lagrange-D'Alembert differential variational principle and the Hamilton integral variational principle. These two variational principles form the main subject of contemporary analytical mechanics, and from them the whole colossal corpus of classical dynamics can be deductively derived as a part of physical theory. In recent years students and researchers of engineering and physics have begun to realize the utility of variational principles and the vast possi­ bilities that they offer, and have applied them as a powerful tool for the study of linear and nonlinear problems in conservative and nonconservative dynamical systems. The present book has evolved from a series of lectures to graduate stu­ dents and researchers in engineering given by the authors at the Depart­ ment of Mechanics at the University of Novi Sad Serbia, and numerous foreign universities. The objective of the authors has been to acquaint the reader with the wide possibilities to apply variational principles in numerous problems of contemporary analytical mechanics, for example, the Noether theory for finding conservation laws of conservative and nonconservative dynamical systems, application of the Hamilton-Jacobi method and the field method suitable for nonconservative dynamical systems,the variational approach to the modern optimal control theory, the application of variational methods to stability and determining the optimal shape in the elastic rod theory, among others.
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Eletrocoagulação no tratamento da água

Eletrocoagulação no tratamento da água

Edilaine Pereira; Vinicius Iwamura; Joseane Theodoro

Novas Edicoes Academicas
2017
pokkari
Devido import ncia da gua para a vida humana, necess rio estar sempre procurando novas maneiras de garantir a qualidade desse recurso para o consumo humano. Um modo alternativo para o tratamento de gua convencional a eletrocoagula o, processo que utiliza a eletricidade para oxidar os eletrodos do reator, reagindo com as impurezas da gua fazendo-as coagular. Outra maneira de diversificar o tratamento de gua utilizar diferentes tipos de coagulantes naturais como a Moringa oleifera que possui uma prote na cati nica com alta capacidade de acelera o do processo de coagula o. Outra hip tese tamb m seria a inser o deste coagulante natural ao coagulante qu mico j bastante difundido e utilizado em esta es de tratamento de gua. Esse trabalho tem como objetivo avaliar a associa o dos coagulantes Moringa oleifera e sulfato de alum nio com o processo de eletrocoagula o, procurando identificar se o processo de eletrocoagula o se torna mais eficiente ou n o, com o aux lio desses elementos.
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Productos forestales no maderables en la Empresa Sierra-Cristal. Cuba

Productos forestales no maderables en la Empresa Sierra-Cristal. Cuba

Yonny Martinez López; Emilio Mtnez Rdguez; Alessandra Theodoro Silv

Editorial Academica Espanola
2018
pokkari
En este libro se reunen importantes informaciones sobre los principales Productos Forestales no Maderables (PFNM) de la empresa Agropecuaria y Forestal Sierra Cristal, Cuba. Localizada en la regi n norte oriental de Cuba y de gran importancia por la biodiversidad que hospeda. La caracterizaci n de los PFNM permite mejorar el conocimiento de pobladores aleda os a dicha empresa, permitiendoles aprovechar los recursos naturales racionalmente. Este estudio constituye un materia referativo que puede ser reproducido para otras empresas en cualquier parte del mundo, debido a los resultados obtenidos. En el se estudian un conjunto de productos forestales que posibilitan ampliar la cultura alimentaria y medicinal en los comunitarios, adem s, permite identificar algunos pocos conocidos. De esa forma trabajar para mejorar los h bitos de vida de los comunitarios, as como definir los principales usos que pueden brindar los PFNM, contribuye a vivir dentro de un ambiente mas equilibrado y sostenible.
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