阻尼振动

In this paper,a method of dynamic condensation is put forward,which can beused in complex modes with damped oscillation system.

本文提出一种建立有阻尼振动系统动态聚缩模型的方法。

The equation was solved on the basis of the theory of forced damped vibration and variation principle.

再由受迫阻尼振动原理和变分原理推导出耳膜振动方程。

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。

At the same time it is know by analysis about matrix characteristic of the similar orthogonally that not only the characteristic value after the transformation is equal to the ones before the transformation and they are independence to time variable of the system, but also the eigenvectors of the formed system can showed the effect of the time variable on original system.

同时，根据矩阵正交相似的性质分析得知：不仅变换前后两个矩阵的特征值完全相同并与时间变量无关，而且时间变量对此系统的影响可以只由变换后系统的特征向量来描述，给出了非典型阻尼振动系统物理意义上的解释。

Armour rods (to be installed in suspension clamps) Parallel clamps Sub-Total, items 4.1-4.7 OTHER HARDWARE Counterweights for jumper or suspension insulator strings, including necessary device for attachement 50 kg 100 kg Sub-total, item 5.1 – 5.3 SPARES Insulator Units Type U160 Type U210BS Hardware for Conductor ACSR-BISON Complete set of hardware and fittings for suspension string Complete set of hardware and fittings for tension string Complete set of hardware and fittings for jumper string Complete set of hardware and fittings for transposition string Extra suspension clamps Extra tension clamps Extra tension joints Extra repair sleeves Extra vibration dampers Extra armour rods Extra spacers: for span for jumper alternatively spacer dampers Hardware for Earthwire 7 No. 6 AWG Complete suspension set Complete tension set Vibration dampers, Stockbridge type Extra tension clamps Extra tension joints Extra vibration dampers Extra parallel clamps Extra armour rods Hardware for Earthwire 7 No. 6 AWG Complete suspension set Complete tension set Vibration dampers, Stockbridge type Extra tension clamps Extra tension joints Extra vibration dampers Extra parallel clamps Extra armour rods Sub-Total, items 6.1-6.4 Sub-total, Items 1.4, 2.7, 3.8, 4.8, 5.4 and 6.5 Transfer to Summary, Schedule AS-1

装甲棒 平行夹具小计，项目4月1号至4月7号其他硬件重物跳线或中止绝缘子串，包括必要的设备attachement 50公斤 100公斤小计，项目5月1号至5月3号备件绝缘子单位型U160 类型U210BS 硬件导体钢芯铝绞线，拜森一套完整的硬件和配件的暂停字符串一套完整的硬件和配件的紧张字符串一套完整的硬件和配件的跳投字符串一套完整的硬件和配件的转字符串额外的悬浮夹额外的紧张局势夹额外的紧张关节额外的修理袖子额外的振动阻尼器额外的装甲棒额外的间隔：为跨度跳线或者间隔减震器硬件Earthwire 7特设工作组第6号完整的悬挂设定一套完整的紧张局势振动阻尼器，斯托克型额外的紧张局势夹额外的紧张关节额外的振动阻尼器额外的平行夹具额外的装甲棒硬件Earthwire 7特设工作组第6号完整的悬挂设定一套完整的紧张局势振动阻尼器，斯托克型额外的紧张局势夹额外的紧张关节额外的振动阻尼器额外的平行夹具额外的装甲棒小计，项目6月1号至6月4号小计，项目1.4 ， 2.7 ， 3.8 ， 4.8 ， 5.4和6.5 （换乘摘要，附表1 仅供参考

In flexibility of different viscoelasticity material the model is measured and ply falls, calculated respectively the amplitude of transverse stress between factor of loss of the first-order natural frequency that submarine compression carapace is shedding vibration of the damp in field, structure and layer.

在不同粘弹性材料弹性模量和厚度下，分别计算了潜艇耐压壳在流场中阻尼振动的一阶固有频率、结构损耗因子和层间横向应力的幅值。

In the fourth paragraph, how the theory of the damping to forging hammer foundation advances at home and abroad, the research and application of the implement for damping to forging hammer, the structure of damping to forging hammer and the calculation methods for forging hammer foundation vibration system, which are used at home nowadays, are particularly introduced.In the fifth paragraph, aiming at direct damping under anvil block of forging hammer, the author bases a mechanics model of two-degree with damping, and optimizes the vibration parameters both in frequency field and in time field, then finds out the new simple method of optimizing the vibration parameters of the damping device under anvil block of forging hammer.

第五章针对锻锤砧下直接支承式减振基础，建立了锻锤减振系统的二自由度有阻尼振动力学模型，然后用傅立叶变换法求出振动传递率的频率关系，用直接积分法求出砧座和基础位移的时域响应，并分别对频域函数和时域函数进行参数优化，最终建立起频率函数—时域函数—优化参数间的相互关系，从而找到了锻锤砧下隔振器参数优化的简便新方法。

First, the angular velocity function and maneuver load for certain maneuver flight (including hover, dive-hike and these two combined) are set up. The simulation results of the vibration of double-disk rotor system with cantilever supported on rigid bearings show that rotor would be apparently deformed under maneuver load. Second, the performance of oil force of SFD in maneuver flight is analyzed. The results show that in maneuver flight, the SFD with centering spring will become eccentric and its oil force will be time-related and offset-related.

首先，建立了水平盘旋、俯冲拉起及盘旋+俯冲拉起复合机动三种机动飞行条件下的机动角速度函数，并确定了对应机动飞行条件下的机动附加载荷（附加离心力和附加陀螺力矩），分析了带刚支的双盘悬臂转子系统在机动飞行条件下的振动特性，发现发动机转子在机动飞行时会发生明显变形；随后，分析了非定心挤压油膜阻尼器的油膜力特性，机动飞行时，油膜轴颈在机动附加载荷的作用下偏离外环中心，使得带定心弹支的挤压油膜阻尼器也变成了非定心挤压油膜阻尼器，其非定心挤压油膜力是瞬态时变的，并且与SFD油膜轴颈偏移量和进动形态有关；然后，在经典的Jeffcott转子系统中引入带定心弹支的挤压油膜阻尼器，分析了机动飞行时非线性转子系统的振动特性，发现挤压油膜阻尼器油膜力的非协调特性也反映到转子系统的振动响应中；之后，对机动飞行条件下带挤压油膜阻尼器的双盘悬臂转子系统的振动特性进行了分析，并重点分析、总结了俯冲拉起机动飞行时，系统结构参数和工作状态参数（转速比、机动飞行半径、机动角速度等）对该系统振动特性的影响。

First, the angular velocity function and maneuver load for certain maneuver flight (including hover, dive-hike and these two combined) are set up. The simulation results of the vibration of double-disk rotor system with cantilever supported on rigid bearings show that rotor would be apparently deformed under maneuver load. Second, the performance of oil force of SFD in maneuver flight is analyzed. The results show that in maneuver flight, the SFD with centering spring will become eccentric and its oil force will be time-related and offset-related. Then, SFDs are introduced into typical Jeffcott rotor system. The whole system will be statically displaced in maneuver flight and the nonsynchronous components of oil force appear in the response of rotor system.

首先，建立了水平盘旋、俯冲拉起及盘旋+俯冲拉起复合机动三种机动飞行条件下的机动角速度函数，并确定了对应机动飞行条件下的机动附加载荷(附加离心力和附加陀螺力矩)，分析了带刚支的双盘悬臂转子系统在机动飞行条件下的振动特性，发现发动机转子在机动飞行时会发生明显变形；随后，分析了非定心挤压油膜阻尼器的油膜力特性，机动飞行时，油膜轴颈在机动附加载荷的作用下偏离外环中心，使得带定心弹支的挤压油膜阻尼器也变成了非定心挤压油膜阻尼器，其非定心挤压油膜力是瞬态时变的，并且与SFD油膜轴颈偏移量和进动形态有关；然后，在经典的Jeffcott转子系统中引入带定心弹支的挤压油膜阻尼器，分析了机动飞行时非线性转子系统的振动特性，发现挤压油膜阻尼器油膜力的非协调特性也反映到转子系统的振动响应中；之后，对机动飞行条件下带挤压油膜阻尼器的双盘悬臂转子系统的振动特性进行了分析，并重点分析、总结了俯冲拉起机动飞行时，系统结构参数和工作状态参数(转速比、机动飞行半径、机动角速度等)对该系统振动特性的影响。

From the analysis of automobile vibration sources and the human responses to vibration, a mechanic model of man-chair-vehicle system with 13 degrees of freedom is built by vibration pattern analyzing technology. Using the random vibration theory, the calculating methods are developed for parameters, including vibration pattern, transfer function, wheel transient load, and acceleration of seat, automobile ride quality simulation software is developed.

通过分析汽车振动源和人体对振动的反应，用模态综合技术，建立了十三自由度人－椅－车系统的动力学模型，运用随机振动理论，给出了振动形态、传递函数、悬架动挠度、车轮动载荷、座椅加速度等参量的计算方法，开发了一套&汽车平顺性仿真软件&并利用已有的汽车数据，对汽车行驶时的振动特性进行了仿真，得到了重要结论：发动机与轮胎刚度、阻尼，后桥阻尼对驾驶员座椅处的振动影响不大；驾驶员座椅的垂直刚度增加很大时，对垂直方向振动响应比较大；前桥刚度、阻尼对驾驶员座椅处的振动影响较大；前轮胎刚度对前桥振动影响较大，前轮胎刚度增加，则振动加强；后桥刚度对汽车平顺性有一定影响，后桥刚度减小，则座椅处垂直加速度减小。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。