惯性系

According to the scheme in chapter 3, experimental investigations are conducted on the single-axis air-bearing test bed. The effects of both rotating speed and air damping on the vibration frequencies of the beam are discussed. The phenomenon of dynamic stiffening is verified by the results of experiment.

最后我们还按照第三章中设计好的实验方案来对非惯性系下的结构动力学问题进行了实验研究，从实验的角度验证了本文一次近似模型在处理这类非惯性系下的结构动力学问题的正确性和有效性，说明了传统零次近似模型对某些高速旋转梁的数值仿真存在严重的偏差。

In this paper it is explained that the law of conservation of mechanical energy must Obey the relativity principle of mechanics.

文章系统地阐明了机械能守恒定律无条件服从力学相对性原理，若总机械能在一个惯性系守恒，它就在所有惯性系守恒。

In inertia system K,geometric sphere is changed to elliptic sphere in K system by Lorentz transformation ,and the pre-sphere of optical wave in K system is changed to sphere in K system.

对惯性系K中的几何球面施以洛仑兹变换，在K′系得到扁椭球面；对K中的光波前球面，在K′系则得到球面；两者皆源于时空的基本属性，但前者是由于物体长度的相对性，后者则是由于光速的不变。

The attitude of missile in the launch inertial coordinate frame is obtained by the relation between CRF and LICF.

由星敏感器视场中的星图，可生成唯一的最大凸多边形，基于凸多边形的星图识别算法可同时获得多颗星的瞬时位置，由此可获得弹体在赤道惯性系和发射点惯性系中的姿态及其关系。

We know that light in inertial reference frame, and naturally to meet the speed of the sum theorem in classical mechanics (because so far we have not found exception to overthrow it is the inertial basis).

我们知道，光处在惯性系中，自然也就满足经典力学中速度相加定理（因为至今我们还没有找到推翻它是惯性系中特例的依据）。

Foucault's pendulum, and other much more sensitive experiments, demonstrate that an inertial frame is also one in which the distant galaxies do not appear to rotate.

一节，我们介绍了惯性系的概念：找一个参考系使牛顿定律适用于傅科摆和其他更敏感的实验，而我们发现在这个惯性系中遥远星系是不转动的。

We know that light in inertial reference frame, Naturally satisfy the sum theorem of classical mechanics in speed (since so far we have not found exception to overthrow it is inertial basis).

我们知道，光处在惯性系中，自然也就满足经典力学中速度相加定理（因为至今我们还没有找到推翻它是惯性系中特例的依据）。

In this article, I start from the foundation of classical physics-uniform linear motion, then extend to the foundation of modern physics, illustrating through solid evidence, the notion that 'the change of state' and 'the change of location' of inertial frame are two different concepts as well as my idea that in inertia system the reference system for 'the change of location' will not necessarily exist independently from natural object.

本文中我大体上从经典物理学基础的匀速直线运动开始并延伸到近代物理学的基础，以实证的方法阐述惯性系"状态的改变"与"位置的改变"是两个不同的概念，以及我对惯性系"位置的改变"参考系未必能脱离自然客体而独立存在的看法。

However, most of these investigations focused on the rotating beams or plates undergoing a prescribed large overall motion, where the effect of large overall motion of the reference frame on elastic deformation was considered but at the same time the beam's elastic deformation couldn't influence the large overall motion of the reference frame because the large overall motion is known a priori. In fact, this kind of problem on the dynamic stiffening is a structural dynamics problem in a non-inertial frame.

值得指出，上述这些研究工作都局限于大范围运动为已知情况下的非惯性系下柔性体的动力学性质，实质上是一个非惯性系下的结构动力学问题，只考虑了大范围运动对变形运动的影响，而没有充分考虑到大范围运动和变形运动之间的相互耦合作用，这种耦合作用是单向的。

The hypothesis on the equivalence in non conservative system is set up for irreversible process on the basis of bring\|in of the nonconservative noninertial system;and the hypothesis on the covariance in non conservative system is put forth for the space time with complex action on the basis of bring\|in of the ultra gauge.

在引入非保守非惯性系的基础上对不可逆过程建立非保守系等效性假设，在引入广域度规的基础上对具有复杂行为的时空建立非保守系协变性假设；利用密度分布的不均匀度h和粗粒熵S及推导的多标度因数η计算式，引入非保守惯性质量和非保守引力质量。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。