具有内自由度的试验体在非欧空间中的运动
Motion of test bodies with internal degrees of freedom in non-Euclidian spaces
摘要:
讨论一般非欧空间中具有内部自由度的物体的力学。详细研究了模型的几何特性。还讨论了可能的机械应用,例如,在结构连续体动力学、缺陷理论和变形体力学的其他领域。阐述了一种新的分析方法的基础上的非完整框架。我们将我们的结果和方法与其他作者在非线性动力学方面的结果和方法进行了比较(其中许多参考了我们的论文[20],[21],[49],[50])。简单的例子完全integerable模型。
英文摘要:
Discussed is mechanics of objects with internal degrees of freedom in generally non-Euclidean spaces. Geometric peculiarities of the model are investigated detailly. Discussed are also possible mechanical applications, e.g., in dynamics of structured continua, defect theory and in other fields of mechanics of deformable bodies. Elaborated is a new method of analysis based on non-holonomic frames. We compare our results and methods with those of other authors working in nonlinear dynamics (many of them refer to our papers [20], [21], [49], [50]). Simple examples of completely integerable models are presented.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。