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Titlebook: Analytical Mechanics; A. I. Lurie Textbook 2002 Springer-Verlag Berlin Heidelberg 2002 Analytical Dynamics.Finite Rotation.Lagrangian Equa

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发表于 2025-3-21 18:54:12 | 显示全部楼层 |阅读模式
期刊全称Analytical Mechanics
影响因子2023A. I. Lurie
视频video
发行地址Translation of a famous book that belongs to the cultural heritage of Russian mechanics.Reference for classical and analytical approaches to all branches of mechanics.Gives deeper insight into theory
学科分类Foundations of Engineering Mechanics
图书封面Titlebook: Analytical Mechanics;  A. I. Lurie Textbook 2002 Springer-Verlag Berlin Heidelberg 2002 Analytical Dynamics.Finite Rotation.Lagrangian Equa
影响因子According to established tradition, courses on analytical mechanics include general equations of motion of holonomic and non-holonomic systems, vari­ ational principles, theory of canonical transformations, canonical equations and theory of their integration (the Hamilton-Jacobi theorem), integral in­ variants, theory of last multiplier and others. The fundamental laws of mechanics are taken for granted and are not subject to discussion. The present book is concerned with those issues of the above listed sub­ jects which, in the author‘s opinion, are most closely related to engineering problems. Application of the methods of analytical mechanics to non-trivial prob­ lems at the very stage of constructing the equations requires detailed knowl­ edge of the issues that are normally only briefly touched upon. With this perspective considerable attention is paid to ways of introducing the gener­ alised coordinates, the theory of finite rotation, methods of calculating the kinetic energy, the energy of accelerations, the potential energy of forces of various nature, and the resisting forces. These introductory chapters, which have to some extent independent significance, are followed by
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发表于 2025-3-21 22:30:45 | 显示全部楼层
,Lagrange’s differential equations,ll be derived twice here. The first derivation will assume that the operations . and . are not interchangeable, while the second one will assume that the operations are interchangeable. In the first case, i.e. if . ≠ ., it is necessary to use Lagrange’s central equation.
发表于 2025-3-22 00:58:49 | 显示全部楼层
Other forms of differential equations of motion,13] and Hamel [35] at approximately the same time. It was Hamel who suggested the above name for these equations. The equations of motion used by Voronets [91] also deal with the quasi-velocities, however their form differs slightly from the Euler-Lagrange equations.
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发表于 2025-3-22 12:05:28 | 显示全部楼层
Variational principles in mechanics,rential equations of motion. However they do not exhaust all the ways of representing the laws governing the motion of material bodies. An alternative is variational statements dealing with the stationary properties of certain values and enabling the complete replacement of the above statements.
发表于 2025-3-22 13:51:04 | 显示全部楼层
1612-1384 all branches of mechanics.Gives deeper insight into theory According to established tradition, courses on analytical mechanics include general equations of motion of holonomic and non-holonomic systems, vari­ ational principles, theory of canonical transformations, canonical equations and theory of
发表于 2025-3-22 17:13:19 | 显示全部楼层
Textbook 2002ational principles, theory of canonical transformations, canonical equations and theory of their integration (the Hamilton-Jacobi theorem), integral in­ variants, theory of last multiplier and others. The fundamental laws of mechanics are taken for granted and are not subject to discussion. The pres
发表于 2025-3-23 00:05:42 | 显示全部楼层
https://doi.org/10.1007/978-3-531-90733-8e distinguish between two categories of forces acting at the points within the system, namely the constraint forces and the active (or prescribed) forces. The resultant of the constraint forces exerted at point .. is denoted by .. whereas that of the active forces is denoted by ...
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发表于 2025-3-23 08:22:36 | 显示全部楼层
https://doi.org/10.1007/978-3-531-90733-813] and Hamel [35] at approximately the same time. It was Hamel who suggested the above name for these equations. The equations of motion used by Voronets [91] also deal with the quasi-velocities, however their form differs slightly from the Euler-Lagrange equations.
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