模态的

What I need to translate is something from external space:"This is based on consideration of initial imperfection…in first period, as non-lineal mode…by Euler formula…approximately buckling stress…"

最近的一次会议气氛很紧张，我要翻译的第一句话是这样的（我只记住了我能想象出怎么写出汉字的）"这是考虑了初始缺陷***，在第一间***，按非线性模态***，根据欧拉公式***，得出的大致的屈曲应力***…"。

It design an overloading protection equipments base on the characteristic of the Super High-speed rotating equipment ,which are fit for a certain super high-speed rotating equipment,,and analysing the mechanical characteristic of the super high-speed rotating part by the finite element method.

针对超高速旋转设备的工作特点，设计了适合超高速旋转设备使用的过载保护装置，并利用有限元方法分析了超高速旋转条件下的转子力学特性；对包括模态、冲击响应、谐响应等在内的过载保护器动态特性以及工作过程中产生的不平衡量和摩擦热等影响过载保护装置正常工作的因素进行了分析计算。

The detected leakage signal can be decomposed into a sum of finite intrinsic mode functions by EMD, some of IMFs embracing typical AE characteristic can be selected to be reconstructed. Thus, noise interference can be eliminated. The reconstructed signals are analyzed and their cross-correlation parameter is calculated.

该信号分析方法将管道泄漏产生的声发射信号通过EMD分解为多个平稳的固有模态函数之和，选择包含声发射特征的若干IMF分量进行重构，可以提取到管道泄漏声发射信号的本质特征，消除噪声信号的干扰。

The blades are modeled as cantilever beams fixed on the disk. The equations of motion of the system are derived. The eigenvectors are obtained by solving the eigenvalues of the system and the localized modes of vibration in mistuned systems are further gotten.

采用固定在轮盘上的悬臂梁模型来模拟叶片，推导了结构系统的运动方程表达式，求解特征值问题获得了结构系统的特征向量，进而得到了失谐结构的局部化的振动模态。

The degree of system stress can be increased by changing the fault duration. It is found that as the system stress increases, the error index and its growing speed of modal series method are the smallest, and that of normal form method take second place.

通过延长故障的持续时间来改变系统的非线性程度，发现随着系统非线性的增强，模态级数法的误差及其增加速度都是最小的，正规形法次之。

In this dissertation, based on the discussed history of numerical method of structure-born sound radiation, the boundary element integral equation is deduced, and then the numerical method of sound radiation, the theory of radiation modal and the sound radiation sensitivity analysis is discussed in details.

本文在分析了结构声辐射数值方法的历史及其现状的基础上，详细推导了结构声辐射的边界积分方程，对声辐射的数值计算方法、声辐射的模态理论以及声辐射的灵敏度分析作了深入详细的探讨。

The analytical expressions of modal damping and frequency, logarithmic decrement and dynamic magnification factor, which represent the dynamic properties of the system, were obtained by theoretical analyses.

分析表明，Alford力会促进正向涡动而抑制反向涡动，增大正、反向涡动的模态频率，降低正向涡动的稳定性，而提高或降低反向涡动的稳定性则取决于系统的相对阻尼，增大或减小系统的动力放大系数则取决于比转速，并改变系统响应的相位。

In the past, the high frequency resonance technique is usually applied in the envelope detection for a vibration signal with amplitude modulation. When applying the Hilbert transform in the high frequency resonance technique for the envelope detection of vibration signals, the computing burden is very high. On the other hand, when applying the linear least squares analysis method, the computing burden is lower. When applying the envelope detection in the lowest vibration mode, an accelerometer with the low-pass filtering cutoff frequency at 4kHz should be choose.

在过去的研究方法中，振动讯号之振幅调变通常以高频解调分析法应用於包络讯号侦测，而高频解调方法应用希尔伯特转换的包络分析，所需要的计算量是非常的高，若以线性最小平方分析法应用於高频解调分析法中，则所需要的计算量较小，如果以最低模态来估测包络讯号时，可以适当的选取加速规来代替低通滤波器，而加速规的截止频带必须在4kHz左右。

Based on the study, the modeling of geared rotor system and the application of modal synthesis method for rotor system were discussed.

基于转子系统的有限元法的研究，从理论上分析了齿轮传动转子系统的模态综合法的建模和求解的具体步骤。

Tertullian also made his contribution to Christology in combating Gnosticism and the various forms of what came to be known as monarchianism (dynamism, modalism, Sabellianism), which has reacted in different ways against the apparent worship of Christ as a second God beside the Father.

戴尔都良也作了他的贡献christology打击灵知和各种形式的什麼后来被称为monarchianism （活力，模态说， sabellianism ），其中已反应在以不同的方式对表观崇拜的基督作为第二神旁边的父亲。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷