固有振动

Eular -Bernonulli beam model and Tomosimko beam model were adapted to study the inherence vibration properties of the pipelines under dynamical loads, and the analytical answers of the chanmical results were brought out in the fifth chapter. And gave priority to the Eular -Bernonulli beam model, the simply and convenient analytical resolution for the response of the pipelines under dynamical traffic loads through the impulse function and the congruence method of the vibration form and so on.

本文采用Eular-Bernonulli梁模型和Tomosimko梁模型对动力下Kelvin粘弹性地基中管道固有振动性状进行了分析，提出了各力学结果描述的解析式；并以Eular-Bernonulli梁模型为主，基于脉冲函数、振型迭加法等对管道在动力交通荷载作用下的管道响应问题提出简单便捷的解析算法；在管道受力结果的分析中，考虑管道响应输出的随机性，将管道响应用随机过程来描述其概率特征，使得结果描述更加真实准确。

Based on the modal superposition method and the exact solution of beam nature vibration, the motion equations of the simply supported and continuo...

基于模态叠加法和梁固有振动的精确解，建立了移动荷载作用下简支梁和连续梁的运动方程；利用样条最小二乘法逼近桥梁应变响应，由样条数值微分求得响应导数；再通过Tikhonov正则化方法结合奇异值分解技术得到了荷载识别的正则解。

Based on the theories of porous medium seepage and elasticity, the partial differential equations on the response of the well water bearing system to the Earth tide signal are derived under the condition of changing well radius.

根据多孔介质渗流理论和弹性理论，在井孔变径条件下，得出水井含水层系统对潮汐信号响应的偏微分方程，认为井径变化相当于改变了井水柱的有效高度，从而影响了水井含水层系统的固有振动周期。

Equation (4-198) yields a first approximation for the change in the natural frequency of vibration.

方程（4－198）给出了一级近似下的固有振动频率的改变量。

Equation(4-198) yields a first approximation for the change in the natural frequency of vibration.

方程（－98）出了一级近似下的固有振动频率的改变量。

Transient heating has a serious effect on the characteristic of structural natural vibration.

瞬态加热会严重影响结构的固有振动特性。

And the inclination angle on nonlinearly natural vibration characteristic of an inclined cable in plane.

研究斜拉索在平面内的非线性固有振动特性。

On that basis, the corresponding linerized model is built, and the dynamic properties are analyzed while the configuration or end-point load is greatly changed, the predictable equation of the built-in frequency is established by virtue of perturbation method for the application of variable parameter control in that case.

利用拉格朗日方法推导了双杆柔性机械手的动力学方程，在此基础上了建立相应的线性化模型，分析柔性机械手当位形和负载发生较大改变所表现出的的动力学特性，用摄动方法建立了固有振动频率的预示表达式，以应用于位形和负载有较大改变情形的变参数控制。

Then according to the free-vibration characteristics of monorail beam, the limit safety values were discussed.

此外针对轨道梁的固有振动频率讨论其安全限值问题。

In this paper, by developing Fortran program, the vibration characteristic, the interior ballistic, the projectile motion in bore, the artillerys dynamic response, the projectile initial disturbance are simulated. Those results offer the necessary base for further researching firing accuracy of the self-propelled artillery.

本文编制了自行火炮武器系统发射动力学的计算程序，实现了对某自行火炮的固有振动特性、内弹道过程、弹丸膛内运动、火炮动力响应、弹丸起始扰动的动力学仿真，为进一步研究自行火炮射击精度提供了必要的基础。

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