History of Virtual Work Laws

History of Virtual Work Laws PDF Author: Danilo Capecchi
Publisher: Springer Science & Business Media
ISBN: 8847020565
Category : Technology & Engineering
Languages : en
Pages : 491

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Book Description
The book presents a history of classical mechanics by focusing on issues of equilibrium. The historical point of view adopted here restricts attention to cases where the effectiveness of forces is assessed on the basis of the virtual motion of their points of application. For completeness, hints of the alternative approach are also referred, the Archimedean for ancient mechanics and the Newtonian for modern mechanics. The laws resulting from consideration of virtual motions are named laws of virtual work. The modern formulations of the principle of virtual work are only a particular form of them. The book begins with the first documented formulations of laws of virtual work in the IV century BC in Greece and proceeds to the end of the XIX century AD in Europe. A significant space is devoted to Arabic and Latin mechanics of Middle Ages. With the Renaissance it began to appear slightly different wordings of the laws, which were often proposed as unique principles of statics. The process reached its apex with Bernoulli and Lagrange in the XVIII century. The book ends with some chapters dealing with the discussions that took place in the French school on the role of the Lagrangian version of the law of virtual work and its applications to continuum mechanics.

History of Virtual Work Laws

History of Virtual Work Laws PDF Author: Danilo Capecchi
Publisher: Springer Science & Business Media
ISBN: 8847020565
Category : Technology & Engineering
Languages : en
Pages : 491

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Book Description
The book presents a history of classical mechanics by focusing on issues of equilibrium. The historical point of view adopted here restricts attention to cases where the effectiveness of forces is assessed on the basis of the virtual motion of their points of application. For completeness, hints of the alternative approach are also referred, the Archimedean for ancient mechanics and the Newtonian for modern mechanics. The laws resulting from consideration of virtual motions are named laws of virtual work. The modern formulations of the principle of virtual work are only a particular form of them. The book begins with the first documented formulations of laws of virtual work in the IV century BC in Greece and proceeds to the end of the XIX century AD in Europe. A significant space is devoted to Arabic and Latin mechanics of Middle Ages. With the Renaissance it began to appear slightly different wordings of the laws, which were often proposed as unique principles of statics. The process reached its apex with Bernoulli and Lagrange in the XVIII century. The book ends with some chapters dealing with the discussions that took place in the French school on the role of the Lagrangian version of the law of virtual work and its applications to continuum mechanics.

Virtual Work Approach to Mechanical Modeling

Virtual Work Approach to Mechanical Modeling PDF Author: Jean Salençon
Publisher: John Wiley & Sons
ISBN: 1786302950
Category : Mathematics
Languages : en
Pages : 362

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Book Description
This book is centred about the Principle of virtual work and the related method for mechanical modelling. It aims at showing and enhancing the polyvalence and versatility of the virtual work approach in the mechanical modelling process. The virtual work statement is set as the principle at the root of a force modelling method that can be implemented on any geometrical description. After experimentally induced hypotheses have been made on the geometrical parameters that describe the concerned system and subsystems, the method provides a unifying framework for building up consistently associated force models where external and internal forces are introduced through their virtual rates of work. Systems described as three-dimensional, curvilinear or planar continua are considered: force models are established with the corresponding equations of motion; the validation process points out that enlarging the domain of relevance of the model for practical applications calls for an enrichment of the geometrical description that takes into account the underlying microstructure.

Virtual History: Alternatives And Counterfactuals

Virtual History: Alternatives And Counterfactuals PDF Author: Niall Ferguson
Publisher: Basic Books
ISBN: 0786725796
Category : History
Languages : en
Pages : 566

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Book Description
What if there had been no American War of Independence? What if Hitler had invaded Britain? What if Kennedy had lived? What if Russia had won the Cold War? Niall Ferguson, author of the highly acclaimed The Pity of War, leads the charge in this historically rigorous series of separate voyages into “imaginary time” and provides far-reaching answers to these intriguing questions.Ferguson's brilliant 90-page introduction doubles as a manifesto on the methodology of counter-factual history. His equally masterful afterword traces the likely historical ripples that would have proceeded from the maintenance of Stuart rule in England. This breathtaking narrative gives us a convincing, detailed “alternative history” of the West—from the accession of “James III” in 1701, to a Nazi-occupied England, to a U.S. Prime Minister Kennedy who lives to complete his term.

Theory, Evidence, Data: Themes from George E. Smith

Theory, Evidence, Data: Themes from George E. Smith PDF Author: Marius Stan
Publisher: Springer Nature
ISBN: 3031410416
Category : Science
Languages : en
Pages : 408

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Book Description
This book builds on the path-breaking work of George E. Smith and further explores the notions of evidence and confirmation in the exact sciences from two perspectives: conceptual and historical. Contributions in this volume investigate the philosophical presuppositions, explanatory scope, and historical precursors of evidence in mathematical physics and related disciplines. The papers are written by and of interest to philosophers and historians of science.

Physics and Necessity

Physics and Necessity PDF Author: Olivier Darrigol
Publisher: Oxford University Press (UK)
ISBN: 019871288X
Category : Science
Languages : en
Pages : 417

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Book Description
This book recounts a few ingenious attempts to derive physical theories by reason only, beginning with Descartes' geometric construction of the world, and finishing with recent derivations of quantum mechanics from natural axioms.

Continuum Mechanics Through the Eighteenth and Nineteenth Centuries

Continuum Mechanics Through the Eighteenth and Nineteenth Centuries PDF Author: Gérard A. Maugin
Publisher: Springer Science & Business Media
ISBN: 3319053744
Category : Science
Languages : en
Pages : 275

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Book Description
Conceived as a series of more or less autonomous essays, the present book critically exposes the initial developments of continuum thermo-mechanics in a post Newtonian period extending from the creative works of the Bernoullis to the First World war, i.e., roughly during first the “Age of reason” and next the “Birth of the modern world”. The emphasis is rightly placed on the original contributions from the “Continental” scientists (the Bernoulli family, Euler, d’Alembert, Lagrange, Cauchy, Piola, Duhamel, Neumann, Clebsch, Kirchhoff, Helmholtz, Saint-Venant, Boussinesq, the Cosserat brothers, Caratheodory) in competition with their British peers (Green, Kelvin, Stokes, Maxwell, Rayleigh, Love,..). It underlines the main breakthroughs as well as the secondary ones. It highlights the role of scientists who left essential prints in this history of scientific ideas. The book shows how the formidable developments that blossomed in the twentieth century (and perused in a previous book of the author in the same Springer Series: “Continuum Mechanics through the Twentieth Century”, Springer 2013) found rich compost in the constructive foundational achievements of the eighteenth and nineteenth centuries. The pre-WWI situation is well summarized by a thorough analysis of treatises (Appell, Hellinger) published at that time. English translations by the author of most critical texts in French or German are given to the benefit of the readers.

Burchard de Volder and the Age of the Scientific Revolution

Burchard de Volder and the Age of the Scientific Revolution PDF Author: Andrea Strazzoni
Publisher: Springer Nature
ISBN: 3030198782
Category : Philosophy
Languages : en
Pages : 755

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Book Description
This monograph details the entire scientific thought of an influential natural philosopher whose contributions, unfortunately, have become obscured by the pages of history. Readers will discover an important thinker: Burchard de Volder. He was instrumental in founding the first experimental cabinet at a European University in 1675. The author goes beyond the familiar image of De Volder as a forerunner of Newtonianism in Continental Europe. He consults neglected materials, including handwritten sources, and takes into account new historiographical categories. His investigation maps the thought of an author who did not sit with an univocal philosophical school, but critically dealt with all the ‘major’ philosophers and scientists of his age: from Descartes to Newton, via Spinoza, Boyle, Huygens, Bernoulli, and Leibniz. It explores the way De Volder’s un-systematic thought used, rejected, and re-shaped their theories and approaches. In addition, the title includes transcriptions of De Volder's teaching materials: disputations, dictations, and notes. Insightful analysis combined with a trove of primary source material will help readers gain a new perspective on a thinker so far mostly ignored by scholars. They will find a thoughtful figure who engaged with early modern science and developed a place that fostered experimental philosophy.

Essays in the History of Mechanics

Essays in the History of Mechanics PDF Author: C. Truesdell
Publisher: Springer Science & Business Media
ISBN: 3642866476
Category : Science
Languages : en
Pages : 394

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Book Description
This volume collects my shorter articles on the history of mechanics, some already published in various places, some revised from earlier papers, and some never published before. All of them began as lectures, and here they are printed as such, little changed from the last times I read them out to an audience. While the several articles concern different aspects of mechanics, overlap and even some repetition could not be avoided, since mechanics is one great science, and the same original oftentimes served more than one end in its growth. My three major historical treatises, which were published in Volumes (II) 11 , 2 12, and 13 of L. Euleri Opera Omnia, are not included. To simplify the printing I have also mostly omitted detailed reference to sources discussed more fully in those treatises, but of course I have added to the texts of the lectures citations of other sources, some notes in answer to questions a reader might ask, and biblio graphical notes at the end of each. I am grateful to the U.S. National Science Foundation for its support of this work through a grant to The Johns Hopkins University.

Tartaglia’s Science of Weights and Mechanics in the Sixteenth Century

Tartaglia’s Science of Weights and Mechanics in the Sixteenth Century PDF Author: Raffaele Pisano
Publisher: Springer
ISBN: 9401797102
Category : Science
Languages : en
Pages : 513

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Book Description
This book presents a historical and scientific analysis as historical epistemology of the science of weights and mechanics in the sixteenth century, particularly as developed by Tartaglia in his Quesiti et inventioni diverse, Book VII and Book VIII (1546; 1554). In the early 16th century mechanics was concerned mainly with what is now called statics and was referred to as the Scientia de ponderibus, generally pursued by two very different approaches. The first was usually referred to as Aristotelian, where the equilibrium of bodies was set as a balance of opposite tendencies to motion. The second, usually referred to as Archimedean, identified statics with centrobarica, the theory of centres of gravity based on symmetry considerations. In between the two traditions the Italian scholar Niccolò Fontana, better known as Tartaglia (1500?–1557), wrote the treatise Quesiti et inventioni diverse (1546). This volume consists of three main parts. In the first, a historical excursus regarding Tartaglia’s lifetime, his scientific production and the Scientia de ponderibus in the Arabic-Islamic culture, and from the Middle Ages to the Renaissance, is presented. Secondly, all the propositions of Books VII and VIII, by relating them with the Problemata mechanica by the Aristotelian school and Iordani opvsculvm de ponderositate by Jordanus de Nemore are examined within the history and historical epistemology of science. The last part is relative to the original texts and critical transcriptions into Italian and Latin and an English translation. This work gathers and re-evaluates the current thinking on this subject. It brings together contributions from two distinguished experts in the history and historical epistemology of science, within the fields of physics, mathematics and engineering. It also gives much-needed insight into the subject from historical and scientific points of view. The volume composition makes for absorbing reading for historians, epistemologists, philosophers and scientists.

Chasles and the Projective Geometry

Chasles and the Projective Geometry PDF Author: Paolo Bussotti
Publisher: Springer Nature
ISBN: 3031542665
Category :
Languages : en
Pages : 576

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Book Description