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Titlebook: Variational Methods and Complementary Formulations in Dynamics; B. Tabarrok,F. P. J. Rimrott Book 1994 Springer Science+Business Media B.V

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书目名称Variational Methods and Complementary Formulations in Dynamics
编辑B. Tabarrok,F. P. J. Rimrott
视频video
丛书名称Solid Mechanics and Its Applications
图书封面Titlebook: Variational Methods and Complementary Formulations in Dynamics;  B. Tabarrok,F. P. J. Rimrott Book 1994 Springer Science+Business Media B.V
描述Not many disciplines can c1aim the richness of creative ideas that make up the subject of analytical mechanics. This is not surprising since the beginnings of analyti­ cal mechanics mark also the beginnings of the theoretical treatment of other physical sciences, and contributors to analytical mechanics have been many, inc1uding the most brilliant mathematicians and theoreticians in the history of mankind. As the foundation for theoretical physics and the associated branches of the engineering sciences, an adequate command of analytical mechanics is an essential tool for any engineer, physicist, and mathematician active in dynamics. A fascinating dis­ cipline, analytical mechanics is not only indispensable for the solution of certain mechanics problems but also contributes so effectively towards a fundamental under­ standing of the subject of mechanics and its applications. In analytical mechanics the fundamental laws are expressed in terms of work done and energy exchanged. The extensive use of mathematics is a consequence of the fact that in analytical mechanics problems can be expressed by variational State­ ments, thus giving rise to the employment of variational methods. Furth
出版日期Book 1994
关键词Calculus of Variations; Rigid body; dynamics; mechanics; oscillation
版次1
doihttps://doi.org/10.1007/978-94-015-8259-9
isbn_softcover978-90-481-4422-8
isbn_ebook978-94-015-8259-9Series ISSN 0925-0042 Series E-ISSN 2214-7764
issn_series 0925-0042
copyrightSpringer Science+Business Media B.V. 1994
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Differential Variational Formulations,n a point mass is acted upon by a set of forces resulting in ., it will acquire a linear momentum ., such that.Consider now an increment of work done by the force ., as well as by D’Alembert’s inertial force ., as the point mass undergoes an imagined virtual displacement δr. Then.because of relation
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0925-0042 the beginnings of analyti­ cal mechanics mark also the beginnings of the theoretical treatment of other physical sciences, and contributors to analytical mechanics have been many, inc1uding the most brilliant mathematicians and theoreticians in the history of mankind. As the foundation for theoreti
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