Titlebook: Advanced Vibrations; Theory and Applicati Reza N. Jazar Textbook 2022Latest edition The Editor(s) (if applicable) and The Author(s), under

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https://doi.org/10.1007/978-3-031-16356-2Newton-Euler and Lagrange methods; formal proofs; linear and nonlinear worlds; mechanical vibrations; pr

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978-3-031-16358-6The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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Front Mattercations of rigid-body systems in industrial practice are based on just a few basic laws of, for example, Newton, Euler, or Lagrange. These basic laws can be written in an extremely compact, symmetrical, and esthetic form, simple enough to be easily learned and kept in mind by students and engi­ neer

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ern general purpose rigid body programsThe dynamics of mechanical rigid-body systems is a highly developed disci­ pline. The model equations that apply to the tremendous variety of appli­ cations of rigid-body systems in industrial practice are based on just a few basic laws of, for example, Newton,

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Vibration Dynamicsnberg and by the definition of an approximatively transitive action due to Connes and Woods. We introduce a slightly stronger condition SAT* and establish several general ergodic properties of SAT* actions. This notion turns out to be quite helpful for studying ergodic properties of the horosphere f

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