According to regress , the paper got equivalent shearing stiffness and equivalent damping gene ' s calculating formula of the hdr ' s equivalent linear model . at last , the paper estimates the effect of integrated isolation bearing with a 4 span continuous beam bridge by nonlinear dynamic analysis program 根据能量相等的原则，本论文提出了高阻尼橡胶剪切滞回曲线的双线性模型和模型中各参数的计算公式；回归出了用剪应变表示的等价线性化模型的等价剪切刚度和等价阻尼比实用计算公式。
In past , the processing mode as to the electro - hydraulic servo - system nonlinear problem is that using the tai ' s lux formula obtains the part linear pattern behind the series expansion at the stable state work - point . this kind of linear model is feasible to this system the frequency is low as well as the system work - point frequently isn ’ t changing in great scope 过去对于非线性问题的处理方式是在稳态工作点处进行泰勒级数展开后得到局部线性化模型,这种线性化模型对于一些频宽不太高、系统的工作点变化范围不太大的系统是可行的。
The francies " hydro turbine models are induced , comprising of the linear model based on the model characteristic curves , the linear model based on the internal characteristics description , the nonlinear model based on four - quadrant characteristics and simply analytic nonlinear model . as a result of comparison of these models , it is believed that these models have different traits and the proper model should be selected according to the study purpose and known conditions 归纳介绍了混流式水轮机的模型，包括基于模型综合特性曲线的线性化模型、基于内特性描述的线性化模型、基于全特性曲线的非线性模型和简单解析非线性模型等，对这些水轮机模型进行分析比较，认为它们的特点各有不同，应根据研究目的和已知条件来选择合适的模型。
As the basic work of the designing and evaluating of fuzzy gpss , the mathematic models of simple hydro - electricity system stability analyzing and controlling are founded and summarized which include the linearized model of hydraulic system - hydoturbine based on the linearized model of hydraulic system considering elastic water hammer and the linearized model of francies turbine , two different linearized model of single - machine infinite - bus system ( k1 - k6 model and c1 - c12 model ) , the nonlinear model of single - machine infinite - bus system based on three - order model of synchronous generator , the model of exciting system and the model of governor 作为设计和评价水电机组模糊gpss的基础，本文归纳建立了简单水电系统稳定分析与控制的数学模型，它包括：计及弹性水击的水力系统线性化模型、混流式水轮机线性化模型以及在此基础上的水力系统?水轮机线性化模型；单机无穷大系统两种详细程度不同的线性化模型，即k _ 1 - k _ 6模型和c _ 1 - c _ ( 12 )模型；基于同步发电机三阶模型的单机无穷大系统非线性模型；励磁系统和调速器模型等。
Simulation results indicate that the drnn identifier is more accurate than the traditional ked theoretical model . ( 5 ) with reference to the parameter estimation problem , a linearized model of the experimental mechanism is established , whose state equation is determined by means of the continuous hopfield neural networks ( hnn ) 5 .在参数估计方面,本文构造了弹性连杆机构动力学系统的线性化模型,根据连续型hopfield神经网络( hnn )的优化计算原理,对该线性化模型的状态方程进行了参数估计。
This paper establishes the linear model of hydro - turbine and deducts its transfer coefficients . then the optimized operation parameters are gained in the frequency disturbance and load rejection simulation . through comparing dynamically , this paper analyses the impact on its dynamic performance if some governing system parameter changes 在研究小波动情形时,即系统在稳定工作工况点附近小瞬变时,可以把非线性系统进行线性化处理;本文建立了水轮机调节系统的线性化模型,推导了其中的传递系数;对水轮机调节系统的频率扰动和机组突甩负荷工况进行了仿真试验,整定了最佳调节参数;通过动态比较,分析了调节系统参数改变对其动态性能的影响。
( 4 ) to determine liquefaction potential in site , several viable approaches are used , and these are ( 1 ) the standard penetration test ( spt ) , ( 2 ) measurement of in - situ shear wave velocity ( vs ) , and ( 3 ) use of test data and seed & idriss method . considering the non - linear of the soil , we calculate the earthquake response of the soil with the hardin - drnevich model and the finite element method . finally , we estimate the liquefaction capability of the site during earthquake in xuzhou , jiangsu province 中国地展局工程力学研究所硕士学位论文川采用《建筑抗震设计规范》 ( gb50on一2001 )基于标准贯入试验的判别法、基于场地剪切波速的液化判别方法和seed一idriss简化法对可液化场地进行了液化判别;考虑土的非线性，采用等效线性化模型，利用有限元方法进行了场地的地震反应分析;并对沪蓉高速铁路徐州段可液化场地的地震液化性能做出了综合评价。
Takagi - sugeno fuzzy models are chosen as the model structure . local linear models can be derived from the linear rule consequents in a straight - forward way . each sample time a local linear model is calculated and used to calculate the next incremental control action using linear generalized predictive control ( gpc ) 3 、针对非线性系统的模型预测控制问题，本文采用t - s模型作为预测模型，然后在每一个采样点对系统进行局部动态线性化，根据得到的系统线性化模型对系统采取广义预测控制（ gpc ）方法得到当前的控制律。
But modern electrohydraulic servo systems have obvious nonlinear characteristics and often are required to have the ability to trace any curve function and endure relatively big outer disturb . so the working dot of the system changes greatly during the working process , which makes the linear model inapplicable 然而电液伺服系统中存在着明显的非线性特征且近代电液伺服系统往往要求系统具有点点跟踪任意非直线函数的能力并能够承受较强的外负载干扰，因此工作过程中系统的工作点在较大的范围内变化，从而使增量线性化模型难于奏效。
