阻尼的

The motion of a type of nonlinear damped oscillation is analyzed to resort the method of numerical analysis, and compared it with the motion of the linear damped oscillation.

摘要用数值分析方法分析一类非线性阻尼振动问题，与线性阻尼振动进行比较，得到非线性阻尼振动状态每次过θ=0位置的时刻稍后于线性阻尼振动状态。

The motion of a type of nonlinear damped oscillation is analyzed to resort the method of numerical analysis,and compared it with the motion of the linear damped oscillation.

用数值分析方法分析一类非线性阻尼振动问题，与线性阻尼振动进行比较，得到非线性阻尼振动状态每次过θ=0位置的时刻稍后于线性阻尼振动状态。

A matrix which has a set of complete eigenvector system can be similar orthogonally to a diagonal one through reduce it to Jordan＇s normal form, and based on this property, the reducing matrix was taken as the transformation one.

针对非经典阻尼振动线性系统，为消除非经典阻尼项给求解带来的困难，通过引入矩阵函数变换消除了原系统的阻尼条件项，将非经典阻尼振动微分方程转化为拟时不变经典阻尼方程。

Also the response amplitude will be changed with the initial conditions due to the nonlinear properties of the cables.Taking the bending stiffness, cable sag and cable inclination into consideration, the space vibration control of the cables using the visco-elastic dampers in cable-stayed bridges is investigated by joining the center difference method and the state space strategy. Both the maximum modal damping ration and the optimal damper size are obtained, then the practical suggestions are proposed for the design of the dampers. The space nonlinear vibration equations of the cable-damper system are derived, and anew hybrid method for solving the cable-damper system is presented by combing the Newmark method and Pseudo-force technology. According to the known properties of the cable-damper system, the nonlinear transient responses are analyzed under all kinds of excitations. Based on the transient response, the control effectiveness of the visco-elastic dampers is further demonstrated.

综合考虑了拉索抗弯刚度、垂度的影响，研究了粘弹性阻尼器对斜拉桥拉索的空间振动控制，联合中心差分方法及状态空间法，得出了拉索面内、外振动各阶模态可能达到的最大阻尼比及相应的最优阻尼器系数，并对斜拉桥拉索的阻尼器设计提出了参考建议：考虑拉索抗弯刚度、垂度及几何非线性，导出了索-阻尼器系统的空间振动非线性方程组，结合Newmark方法及伪力(Pseudo-Force)方法，创新地提出了求解非线性方程组的杂交方法，根据拉索-阻尼器系统的阻尼特性，在各种荷载作用下，对索-阻尼器系统的非线性瞬态振动响应进行了研究，从系统响应的角度更加直接地验证了阻尼器的控制效果。

According to two hypotheses: one for the relation between the dynamic complex stiffness and the material dynamic characteristics, another for the relation between the static displacement and the force acting on the element, the predicting formula for rectangular cross section are obtained respectively using the static stiffness formulation from the beam——column theory and the G〓bel method.

利用粘弹性材料的标准导数和分数导数模型的本构关系，建立了动态储能和损耗模量函数的关系式，由材料特性实验确定其中的参数，按元件的动态复刚度和材料动态特性之间与元件静态位移与作用力之间的关系假定，依柱梁理论或G〓bel的方法建立的静刚度表达式，建立了矩形截面环元件的刚度和阻尼的预测公式。

The mechanical behavior of Shape Memory Alloys material is tested, and the constitutive model of the SMA is established. A kind of SMA combined rubber isolator is developed, and the isolation effect of the SMA combined rubber isolator for long-span bridge and tall building structures is numerically simulated, from which the adaptive isolation performance and the self-restoring capacity of the SMA combined rubber isolator are verified. A kind of SMA damper is developed, the mechanical behavior of the SMA damper is tested, and the model of restoring force of the SMA damper is established. The theory and method of adaptive control based on the SMA damper for the long-span bridge are built, and the effectiveness and reliability of the adaptive control for the long-span bridge using the SMA damper are verified through numerical simulation and model test. The MRF-04K type magnetorheological damper is developed, the mechanical behavior of the MR damper is tested, and the model of restoring force of the MR damper is established. The theory and method of adaptive control based on the MR damper for the long-span bridge and tall building structures are built, and the effectiveness and reliability of the adaptive control for the long-span bridge and tall building structures using the MR damper are verified through numerical simulation and model test. In addition, the theory and method of sub-structural damage identification for long-span bridge are derived, the influence of soil-structure dynamic interaction on the seismic isolation and control effects with different isolation and control measures and the damage responses and the sliding base-isolation of large structures under the excitation of underground explosion are investigated.

试验研究了形状记忆合金材料的力学性能，建立了SMA材料的本构模型；研制了一种SMA复合橡胶隔震支座，数值仿真分析了应用SMA复合橡胶支座的大跨桥梁和高层建筑结构的隔震效果，从而验证了SMA复合橡胶支座的自适应隔震性能及其震后自恢复能力；研制了一种SMA阻尼器，试验研究了SMA阻尼器的力学性能，建立了SMA阻尼器的恢复力模型，建立了基于SMA阻尼器的大跨桥梁结构自适应控制理论与方法，通过数值仿真与模型试验验证了大跨桥梁结构SMA阻尼器自适应控制的有效性与可靠性；研制了一种MRF-04K型磁流变阻尼器，试验研究了MR阻尼器的力学性能，建立了MR阻尼器的恢复力模型，建立了基于MR阻尼器的大跨桥梁和高层建筑结构的自适应控制理论与方法，通过数值仿真和模型试验验证了大跨桥梁和高层建筑结构MR阻尼器自适应控制的有效性与可靠性；还建立了大跨桥梁结构的子结构损伤识别的理论与方法，研究了土-结构动力相互作用对不同隔震和控制措施的减震控制效果的影响以及地下爆炸波作用下各类大型结构的灾害响应与滑移隔震。

At first in the preliminary design this paper computes the linear damping coefficient of the viscous damper employed in this project using Composite Response Spectra approach, meantime, this paper proves that reducing the exponent of velocity of the piston can increase the magnitude of the dissipative energy, because of the viscous damper employed in the practical project character nonlinear behavior; next this chapter performs analysis and comparison between the building without and with the viscous dampers aforementioned when the building suffers from various Time Domain Response, from the angle of displacement, interstroy drift, velocity, interstory velocity, acceleration, energy, maximum axial force of the dampers and of the column etc., in order to prove that the incorporating the viscous dampers into the buildings has great superiority on enhancing its aseismic performance ; furthermore, this chapter also expatiates on diverse assembly form of the viscous dampers that results in the adverse impact on the internal force of the structural member in this building, on the ground of which this segment bring about the preference of the assembly form of the viscous damper; finally this chapter points out the sphere of application of the analysis and computation using Composite Response Spectra approach in design: it is available in well-proportioned stiffness structures and isn抰 available in the structures that contain weak story. It is recommendable, particularly, to incorporate the fluid viscous dampers into this structure that contain weak story to refrain earthquake and reinforce, such as the Central Hall of Shanghai Exhibition Hall.

首先使用了反应谱分析法设计出欲附设的粘滞阻尼器的线性阻尼系数，由于实际工程所用的粘滞阻尼器具有非线性的特性，故而笔者又证明了降低速度指数对提高粘滞阻尼器的耗能量的优势所在；接着分别从位移、层间位移、速度、层间速度、加速度、能量、最大阻尼出力和柱轴力等不同的角度对结构在附设粘滞阻尼器前后的时程反应进行了分析对比，籍此在实际工程中证明了附设粘滞阻尼器对于提高结构的抗震性能的优越性；再者，笔者还阐述了采用不同的粘滞阻尼器布置方式对结构中构件内力特别是柱轴力和基座竖向反力产生的不利影响，并在此基础上提出了布置方式的优选；最后，指出了反应谱法在设计中的适用范围：对于均匀结构反应谱法能够使用，而对于含有薄弱层的结构反应谱法并不适用；对于类似于上海展览馆中央大厅的含薄弱层的结构尤其值得使用粘滞阻尼器的方法进行抗震加固。

It introduces a kind of novel loading test system, based on the operation principle of damper. this loading system is operated by the driving motor. it realizes the loading, in that the damper has a negative drive force that puts on the motor. Based on the ordinary electromagnetic damper, the thesis presents a novel hybrid excitation electromagnetic damper which has adjustable work characteristic, analyses the working principle and structural feature of the electromagnetic damper, deduces the formulas to calculate the eddy current density through the Electromagnetic theory, analyses the distribution of the eddy current in the cotyloid rotor, and also studies the method of calculating the damp torque, establishes the mathematical model of the electromagnetic damper, analyses the relationship between the electromagnetic damper structural parameter and damp torque, researches the engineering design and analysis method of the electromagnetic damper, provides theory foundation for the design and analysis of the electromagnetic damper, contrives a hybrid excitation electromagnetic damper that satisfies the target request, designs a set of compound excitation electromagnetic damping loading control system whose control core is AT89C51 monolithic integrated circuit, analyses the electric circuit part, and carries on the experimental test to this set of electric circuits. Finally it debugs this electromagnetic damping loading system, this system satisfies the target request proposed.

论文提出了一个全新的加载测试系统种类，该加载系统是在阻尼器工作原理基础上，利用电动机拖动阻尼器运转，从而阻尼器产生一个与运动方向相反的阻尼力矩，该力矩作用在电动机上实现对电动机加载测试；同时，论文在一般电磁阻尼器基础上提出了一种新型的可调式复合励磁电磁阻尼器结构，该种阻尼器的工作特性在一定范围内可进行调节；论文分析了电磁阻尼器的工作原理和结构特点，运用电磁场理论分析推导了电磁阻尼器的涡电流密度公式，分析了涡电流在转子杯内的分布图，并对阻尼力矩计算方法进行了研究，建立了电磁阻尼器的数学模型，分析了电磁阻尼器结构参数和阻尼力矩之间的关系，对电磁阻尼器的设计和分析方法进行了研究，为电磁阻尼器的工程设计建立了理论基础；设计了满足技术指标要求的复合励磁电磁阻尼器和一套以AT89C51单片机为控制核心的复合励磁电磁阻尼加载控制系统，对该控制系统硬件电路各部分进行了分析和设计，对软件进行了设计，并对控制电路进行了试验调试，该系统满足所提出的加载指标要求。

With the optimal structural control method, a new approach to determine the optimal damping constant of viscous damper is presented.

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。

Using the models, the author has also calculated the vibration response to high speed railway vehicles of three types travelling over simply-supported beam bridges with various span lengths respectively. Based on the analysis of the computation results, the concept of resonance velocity of a bridge under a high speed running vehicle is present, and it is pointed out that comparatively great vibration of bridges on high speed railways is caused by bridge resonance resulted from the static force pulsating. In a vehiclebridge coupling vibration system, the damping constant of the axle spring is the main factor affecting the response variable of bridge velocity resonance, and the influence of track irregularity on bridge vibration on high speed railways is rather smaller.

利用所建立的计算模型，计算了三种形式的高速铁路车辆通过各种跨度简支梁桥结构时的振动响应，对所得到的计算结果进行了详细的分析，提出了高速行车下桥梁共振速度的概念并指出高速铁路桥梁产生较大振动的原因是静力脉动引起桥梁共振造成的；通过研究车—桥耦合振动系统方程的参数后指出，在车—桥耦合振动系统中，车辆—系阻尼的大小是影响桥梁速度共振时响应大小的主要因素，轨道不平顺对高速铁路桥梁振动的影响较小。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。