| 书目名称 | Continuum Mechanics using Mathematica® | | 副标题 | Fundamentals, Applic | | 编辑 | Antonio Romano,Renato Lancellotta,Addolorata Maras | | 视频video | | | 概述 | Strikes a balance between fundamentals and applications.Requisite mathematical background carefully collected in two introductory chapters and two appendices.Readers gain the mathematical tools to eff | | 丛书名称 | Modeling and Simulation in Science, Engineering and Technology | | 图书封面 |  | | 描述 | The motion of any body depends both on its characteristics and the forces acting on it. Although taking into account all possible properties makes the equations too complex to solve, sometimes it is possible to consider only the properties that have the greatest in?uence on the motion. Models of ideals bodies, which contain only the most relevant properties, can be studied using the tools of mathematical physics. Adding more properties into a model makes it more realistic, but it also makes the motion problem harder to solve. In order to highlight the above statements, let us ?rst suppose that a systemS ofN unconstrainedbodiesC ,i=1,. . . ,N,issu?cientlydescribed i by the model of N material points whenever the bodies have negligible dimensions with respect to the dimensions of the region containing the trajectories. ThismeansthatallthephysicalpropertiesofC thatin?uence i the motion are expressed by a positive number, themass m , whereas the i position of C with respect to a frame I is given by the position vector i r (t) versus time. To determine the functionsr (t), one has to integrate the i i following system of Newtonian equations: m¨ r =F ?f (r ,. . . ,r ,r ? ,. . . ,r ? ,t), | | 出版日期 | Textbook 20061st edition | | 关键词 | calculus; electricity; fluid mechanics; linear algebra; mathematical physics; mechanics; plasticity; thermo | | 版次 | 1 | | doi | https://doi.org/10.1007/0-8176-4458-X | | issn_series | 2164-3679 | | copyright | Birkhäuser Boston 2006 |
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发表于 2025-3-21 18:27:37
