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Then, both the stationary and non-stationary random response of hysteretic system with cubic rigidity and sticky damp were deduced and calculated. In the research of colored white noise, the filter for shaping the power spectral density was designed and the random state response of enlarged vector was gotten. With this, the experimental power spectral curve was changed into colored white noise and the random response could be easily calculated.

对平稳白噪声，给出了平稳响应的求解方法并对平稳状态下的模型参数对响应的影响进行了比较与分析；在有色白噪声的研究里，通过有色白噪声的扩阶方法和构造成型滤波器来计算有色白噪声的响应，从而解决一类工程实际振动问题的仿真模拟。

The algorithm found the least period based on the greatest common divisor of the received adjacent threaten pulse time space, and compared with the received signal continually to correct the error, and then deduced the key value which shows when to stop the algorithm.

该算法根据收到的相邻威胁脉冲时间间隔的最大公约数，找到其最小周期，并不断和接收到的信号相比较以纠正误差，并推导了算法停止的关键值limit。

For weak nonlinear distortion, the expressions of total harmonic distortion, the second order intermodulation distortion(IM2 ), the third order intermodulation distortion(IM 3) and intercept point(IP 3) are deduced. With the aid of software Multisim, we simulate transistor common emitter amplifier, transistor common emitter amplifier with resistor in emitter, differential amplifier and differential amplifier with resistor between emitters. The simulational results and theoretical analyses are almost the same.

针对弱非线性失真，推导了总谐波人、二阶互调失真( IM2 )、三阶互调失真( IM3)和截点( IP3)的表达式，借助于 Multisim软件，对晶体管共发放大器、发射极带反馈电阻的失发放大器、差分放大器和发射极间带反馈电阻的差分放大器进行了仿真，并与理论结果作了比较，结果令人满意。

On the basis of analyzing the reason that produce hydraulic impact, the dynamics of vibration wheel of vibration compactor and dynamics of vibration hydraulic system were analysed, the mathematics model of vibration hydraulic system was set up and its output models for pressure and flow were deduced.

在分析液压冲击产生原因的基础上，进行了振动压路机振动轮的动力学分析和振动液压系统的动态分析，建立了振动液压系统的数学模型，同时推导出系统压力和流量的输出模型。

And then the governing equations of the block dynamic system are deduced on the basis of the virtual work principle, the deformation compatibility condition and the constitutive relations.

随后，基于虚功原理、变形协调条件和本构关系，推导了块体动力系统的控制方程组。

With the assumption of contact force distribution between beams composing a simply supported laminated beam,a contact force function is deduced by applying deformation compatibility condition,and its validity is discussed.

针对简支叠梁的受力特点，建立简支叠梁的简化分析模型，对简支叠梁之间的接触力分布提出假设，运用变形协调条件推导出接触力函数，并对接触力函数的有效性进行了讨论。

Based on the static balance among the pile and soil, the basic differential equations of the displacements of the pile and soil were deduced. Considering the compatibility condition of stress and strain , based on the vertical deformation of pile and pile-surrounding soil, the analytical formulas calculating the pile friction were drew.

本文通过建立复合地基中桩体和桩周土的基本微分方程，考虑应力协调条件，假设桩周土的位移模式，在此基础上推导出桩侧摩阻力和桩身轴力的解析式，并进一步研究相关影响因素。

Based on the shell element degraded from the continuous body, concrete and configured steels are modeled by the layered shell element, and the vertical steels burdened with added loads are completed by the combined shell element. Then, with the smeared crack model, associated flow rule and Madrid hardening model, the material nonlinearity of the concrete is depicted. The stiffness matrix of nonlinear thin-walled shell element is deduced. As for RC multi-T girders subjected to transverse loads, the properties, such as crack expanding and steel yielding, are studied.

基于实体退化壳单元理论，采用分层单元模拟了混凝土和构造钢筋，采用组合单元模拟了受力纵筋；并利用弥散裂缝模型、关联流动法则和Madrid强化准则等来描述了混凝土的材料非线性，推导了非线性薄壁壳单元的统一单元模式，研究了横向荷载作用下RC多T梁上部结构的裂缝发展和钢筋屈服等性能。

In this paper, the waved-edge force model is deduced on the basis of straight edge force model by use of the curve integral principle. This method is suited to the case for the complex 3-D grooves of random curve edge.

在直线刃铣刀片模型的基础上，利用曲线积分原理，建立了波形刃铣刀片铣削力数学模型，该方法可适用于任意曲线刃的三维复杂槽型的情况。

At the same time, for ultraviolet, visible and near infrared range, the thickness, packing fraction and complex refractive indexes of the PZT thin films have been deduced from a transmission spectrum of the films by Envelope method.

同时，根据PZT铁电薄膜紫外、可见和近红外光区的透射光谱，采用"包络法"计算出了PZT薄膜的厚度、填充密度以及紫外、可见和近红外光区的复折射率及其射散频谱。

The teacher likes the honeymouthed little girl very much.

老师很喜欢这个嘴甜的小姑娘。

Mr. Notker Bien's interests are traveling, spending quality time with the family and long-distance-running.

诺特卡·柏恩先生热爱旅游，长跑，以及和家人一起共度美好时光。