The pile is assumed to be vertical , elastic and of variable impedance , and the soil is layered and with viscous damping 假定桩为竖直弹性变阻抗体，土为成层线性粘弹性体，其材料阻尼为粘性阻尼。
This dissertation also presents the equivalent stiffness and damping models and the nonlinear hysteresis and saturation model of a kind of the mr damper developed by the experimental testing and modeling in order to describe accurately characteristics of the mr damper 建立了磁流变阻尼器的等效刚度和等效粘性阻尼系数与施加电压、激振频率和振幅的关系以及能精确表示磁流变阻尼器的力学特性的非线性滞回模型。
In this thesis , by means of the lagrange function , the finite element dynamic equations of the beam element are deduced . then all the element dynamic equations are assembled into the system dynamic equation through using the kineto - elastodynamics theory . the dissipation force derived from joint damping is applied as excitation force of the linkage system 本文的主要内容如下：以平面弹性四连杆机构为研究对象，运用ked ( kineto - elastodynamics )方法推导出了连杆机构的系统动力学方程；在此基础上，将运动副阻尼等效为粘性阻尼，导出了包含运动副等效粘性阻尼系数的系统动力学方程。
In the third chapter , the mathematical models of project system have been established , and simulation has been done on the simulink enviroment of matlab software kits . the simulation focus on the effects of main parameters on the dynamic characteristics of speed control system , and the main parameters include viscosity damp coefficient and friction torque of electrical motor shaft , internal leakage coefficient of pump / motor of hydraulic circuits , gas volume of pressure accumulator , viscosity damp coefficient of cylinder piston and different running building floors , etc . at last , theoretical research effects of the flow and pressure pulsation of pump / motor on car speed and oil volume leakage theory are discussed . the fourth chapter of this thesis concerns the research on the key items about hydraulic power control system according to the ens 1 - 2 and other hydraulic elevator standards 论文第三章针对组成系统的各个模块进行了机理建模，并且通过matlab软件中的simulink图形化仿真环境进行了本课题系统的仿真研究，主要针对影响系统特性的主要参数变化，动态分析系统的输出特性，在上下行工况中，分析了电机轴系粘性阻尼系数、轴系摩擦力矩、主回路蓄能器回路液压泵马达内泄漏系数、蓄能器气体容积、液压缸柱塞粘性阻尼摩擦系数以及不同运行楼层工况等参数对系统特性的影响；最后对轴向柱塞泵马达的流量压力脉动对电梯轿厢速度的影响和蓄能器内油液体积损失机理进行了理论研究。
Comparing the fitted expression with the established theory expression of the angular velocity , the equivalent viscous damping coefficient is gained . the closed form algorithm of the state space method is employed to solve the system dynamic equation with time - varying coefficients . the dynamic problem of a linkage mechanism with four joints is taken as example to show that the presented models and methods are correct and practicable 引入求解线性微分方程的状态空间法，并对其求解时变系统运动微分方程的具体步骤进行了推导；在此基础上将实测获得的运动副等效粘性阻尼系数代入系统动力学方程，求解后获得了考虑运动副阻尼的平面弹性四连杆机构的仿真结果；结果表明运动副的阻尼在一定程度上对振动具有抑制作用。
The relationships of modal damping versus the stiffness of cables , the attachment height of damper and damping constant are obtained . with the optimal structural control method , a new approach to determine the optimal damping constant of viscous damper is presented . the first a few modal damping can be optimized simultaneously under the optimal damping constant of damper , which is more convenient than the existed design method 4 、对拉索-粘性阻尼器系统的动力特性进行了研究，得到了拉索刚度、阻尼器安装高度及阻尼系数等参数对拉索系统模态阻尼比的影响规律；根据最优控制原理，提出了一种确定阻尼器优化阻尼系数的方法，该方法确定的阻尼系数能保摘要证前几阶模态阻尼比得到整体优化，改进了现有的设计方法。
In the paper , by using the incremental harmonic balance method ( ihb ) , the viscous damped bilinear hysteretic isolation system with cubic restoring force on flexible foundation is studied and the influnce of flexible foundation on displacement transmissibility is investigated 摘要本文运用增量谐波平衡( ihb )法研究了安装于柔性基础上的含有三次非线性粘性阻尼双线性滞迟隔振系统，考察了基础柔性对隔振性能的重要影响作用，为这类干摩擦隔振系统在工程上的实际应用提供了理论依据。
The main original work includes : 1 . the interaction between an integral pile and a uniform visco - elastic soil layer with viscous damping or hysteretic damping is theoretically studied , and the pile response to a harmonic load is obtained in a closed form and used to define complex stiffness at the pile head . semi - analytical solution of the velocity response in time domain subjected to a semi - sine wave exciting force is also given 主要工作包括： 1 、在考虑桩周土三维波动条件下，对滞回阻尼、粘性阻尼单层均质土中桩土纵向耦合振动问题进行了解析研究，分别得到桩顶位移、速度频域响应以及复刚度的严格解析表达，以及半正弦脉冲激振力作用下桩顶时域响应半解析解。
