振形

这种振形曲线可以满足振动微分方程和全部边界条件，还具有振形的正交性。

The mode shape can satisfy the governing differential equation and all boundary conditions of plate and has the orthogonality relation .

振形叠加法与Duhamel积分数值解

Mode Superposition Method and Duhamel Integral Numeral Solution

通过响应概率特征函数和Fourier变换，求得Gram-Charlier级数形式的振形位移和速度响应联合概率统计分布。

The probabilistic characteristic function and Fourier transformation are employed to evaluate the joint statistical distribution of modal responses , which has the form of Gram-Charlier series .

为了验证悬臂结构的强度和刚度条件，采用动力学分析软件ALGOR计算了60Co集装箱检测车悬臂的静态变形、振形和固有频率。

Static deformation , the vibration shape and the inherent frequency of the cantilever of the 60 Co container inspection vehicle were calculated with the ALGOR Finite Element System to verify the strength and rigidity of the cantilever .

一边支承三边自由矩形板振形曲线及其正交性

Mode shape expression and its orthogonality for rectangular plates with one edge supported and three edges free

得到了加载后的偏移、固有振动频率、振形等。

At the same time , we can get the offset , inherent frequency after loading and vibration form .

基于振形的正交性。我们提出主振方向排序的动力分析方法。

Based on orthogonality of mode of vibration , we put forward arrangement method on the main mode direction .

由此建立的振形函数表达式可以满足振动微分方程，全部边界条件，满足边界条件的振形曲线又具有振形的正交性。

Based on this mode function expression could satisfy the whole boundary condition of vibration differential equation and possess orthogonality of mode .

采用模态综合法计算了双转子临界转速，子结构模态由传递矩阵法求得，并着重研究了对接条件、模态数及子振形拟合多项式等因素对双转子临界转速影响。

Twin rotor critical speed is calculated by mode synthesis , the mode of sub structure is obtained by using transmission matrix method ( TMM ) .

利用已知物体在非旋转状态下的固有频率和振形，求得以等角速度旋转物体的转速量测的方法，并得出计算公式。

With the natural frequency and vibration shape under the condition of non-revolving , the measuring method of the object rotational rate and the formula were obtained .

针对工程实践中常见的桥梁问题，建立了其在自由振动下的模型，分析了其前几阶振动模态下的振形和动态应变分布。

Aimed at popular bridge in the engineering , we build a piezoelectric bridge vibration model and analyze the vibration shape and distribution of the dynamic strain .

运用有限元法计算得出了某型车架的主要阶频率和振形，并通过模态试验加以验证，试验结果证明了通过有限元法建立的模型的正确性。

In the paper , the main order frequency and vibration form were achieved through Finite Element Method ( FEM ), and the results were verified by Modal Experiment .

基于模态分析的土木结构健康监测方法的基本思想是结构的模态参数（固有频率，模态振形和模态阻尼）为结构物理特征（质量，阻尼和刚度）的函数。

The basic idea is that modal parameters ( notably frequencies , mode shapes , and modal damping ) are functions of the physical properties of the structure ( mass , damping , and stiffness ) .

该振形曲线基本符合板边界条件所限定的变形曲线形态，可以满足全部边界条件，又具有振形的正交性。

The mode shapes can satisfy all the boundary conditions of plate and possess the orthogonality relations between themselves . The forms of the mode shapes are accordant with the deformation patterns permitted by the edge supports .

证明一旦消除了观测溢出和控制溢出，就可消除受控振形与剩余振形之间的相互耦合作用，保证系统的稳定性、可控性和可观测性。

It has verified that the coupling between the controlled modes and the residual modes may be eliminated , the stability , controllability and observability of the system can be guaranteed once the observation and control spillover are eliminated .

摩托车车架是摩托车的重要零部件，在设计中应分析其固有频率特性，获得该车的主要阶模态下的振形，对研究车架的振动变形具有重要作用。

Motorcycle frame is a main part of the motorcycle whose frequency property can be analyzed in its design so as to obtain its main order vibration form . This is very important to the research on the deformation of motorcycle caused by vibration .

并着重分析了局部振动的特征，得出了局部振动有着自己的独有振形和固有频率的结论，从而很好解释了含裂纹圆柱薄壳的复杂振型图及固有频率的反常变化。

The partial vibra-tion is mainly studied , the conclusions obtained are that the partial vibration has its own vibration pat-terns and natural frequencies , so the complex vi-bration patterns and abnormal changes of natural frequencies of thin cylindrical shells with cracks can be explained very well .

低频弯曲同振柱形矢量水听器研制与测试

Design and Measurement of a Low Frequency Flexural Resonant-column Vector Hydrophone

二维同振柱形组合矢量水听器

Two-dimensional combined vector hydrophone of the resonant-column type

其次，研究了同振柱形二维矢量水听器的制作工艺，计出了一种基于压电加速度计的，刚性接收外壳由压电圆环组成的二维同振柱形矢量水听器。

Secondly we have studied the technics of assemblage . Then we designed one kind of co-vibrating type vector hydrophone which was based on the integrated piezoelectricity accelerometer .

涂敷导电圆柱曲面电振子共形天线辐射场UTD研究

A Utd solution for the radiated field from monopole on a conducting cylinder surface with a dielectric coating

直线振子和V形振子的时域辐射特性

The time domain radiation characteristics of dipoles and V antennas

一种倒F振子在共形阵列天线中的应用

Application of New Type Inverted-F Antenna in Conformal Antenna Array

本文用时间步进法求解线天线的时域积分方程，计算分析了直线振子和V形振子的时域辐射特性。

The time domain radiation characteristics of dipoles and V antennas are obtained by solving the time domain electric field integrodifferential equation with the time-stepping approach .

剪力墙结构高阶自振频率及振形的一种近似算法

A simplified algorithm to calculate the high order frequencies of shear wall structure system by continuum principle integrated with Rayleigh method

动力分析：利用子空间迭代法计算分析了桥梁的自振频率和振形，并用反应谱法对桥梁在多遇地震作用下的响应进行了计算分析。

Dynamic analysis : The natural vibration modes and frequencies of the bridge are computed using the subspace iteration method . Subsequently , the effect of seismic action are analyzed using response spectrum method . 3 .

在12%含水率下试材弯曲振型更接近理论振形。

Bending vibration waveform of experimental lumber was close to theoretical waveform , when its moisture content was 12 % . 2 .

本文提出主振方向排序法的思想，建立了一边支承三边自由矩形板统一的振形函数表达式。

Putting forward the method of main mode direction arrangement , the uniform mode shape expressions of the rectangular plates with one supported edge and three free edges are established .