利用变换和摄动法将非线性位移方程线性化，得到了近似边值问题。
By using the transformation and the perturbation method, the nonlinear displacement equations are linearized, and the approximate boundary value problems are obtained.
在几何非线性有限元理论的基础上，建立了膜结构和索网结构非线性位移法找形分析的基本方程。
Based on the geometrical nonlinear theory, the equations for form finding of cable nets and membrane structures are established.
推导了考虑几何非线性项的结构形状优化位移灵敏度和应力灵敏度计算列式。
This thesis deduces computational formulations of displacement sensitivity and stress sensitivity in structural shape optimization considering geometric nonlinear element.
根据对这个关系式讨论的结果，以及对竖直立柱自重压缩问题的解析，得到了位移与尺寸间的非线性关系。
Accodding to the results of discussion of the equation representing the relation and analyse of a pillar body self weight compression, the nonlinear relation between displacement and size is obtained.
根据虚位移原理计算得到了扭杆弹簧双横臂悬架的非线性悬架刚度与车轮跳动的函数关系。
The function of the nonlinear suspension stiffness with tire skipping distance was obtained by virtual displacement theory.
利用几何非线性的应变-位移关系式，在小变形假设条件下确定了单元耦合形函数。
The element coupling shape function matrices are derived by means of geometrically nonlinear strain displacement relation under small deformation assumption.
轻型桥墩是桥梁工程中常用到的一种桥墩，本文利用柔性墩失稳临界荷载非线性分析原理，分析了墩顶位移在非线性阶段对桥墩稳定性的影响。
In this paper, on the basis of non linear analysis of the flexible pier's critical load, the influence of nonlinear phase displacement of pier top on pier's stability is discussed.
利用几何非线性的应变-位移关系式，在小变形假设条件下确定单元耦合形函数。
The element coupling shape function meatrices are derived by means of geometrically nonlinear strain displacement relation un-der small deformation assumption.
发现该传感器具有结构简单、灵敏度高、非线性误差小等特点，在位移等非电量测量方面具有较好的应用前景。
The sensor has properties of simple structure, high sensitivity and small non-linearity error, and it is of high application prospect in displacement and other parameters measurement.
这种阻尼器的性能可通过一组非线性微分方程来描述，物理参数包括位移、电压和力。
The characteristics of MR damper have been described by a set of nonlinear differential equations including three physical parameters such as displacement, voltage and force.
研究基础位移作用下悬挂弹簧的非线性固有振动问题。
Problems regarding nonlinear natural vibration of pendulum spring under foundation displacement excitation are studied.
自升塔式起重机在载荷状态下，塔身非线性变形的主要表征是其顶部的水平位移和斜率。
The nonlinear deformation in tower body of self-elevating tower crane under load is characterized by the horizontal displacement and tilt ratio of its top.
研究了在给定桩顶轴向动位移条件下非线性粘弹性嵌岩桩纵向振动的混沌运动。
The vertical chaotic motion of the nonlinear viscoelastic pile embedded in rock with a vertical displacement, is investigated.
非线性方程采用位移引导或弧长引导的牛顿-拉夫森增量迭代法求解。
Newton Raphson method is used to solve the non linear equations piloted in displacements or in arc length.
推导了考虑大应变大位移的几何非线性有限元列式。
The geometric nonlinear finite element formulation is derived, including large strain and large displacement.
引入了位移联结、速度联结和加速度联结，从而使联结理论适用于非线性机械系统的动力学建模。
The displacement connection, the velocity connection and the acceleration connection are introduced to expand the theory of connection (TC) into dynamics modeling of nonlinear mechanical systems.
研究了压电陶瓷驱动器的复杂非线性滞回动力学系统建模及其位移跟踪控制问题。
The modeling and displacement tracking control of a piezoceramic actuator with complex nonlinear hysteresis was studied.
利用非线性动力学的宏观研究方法对清江库岸茅坪滑坡的位移时间序列进行了分析，发现滑坡系统在演变过程中存在混沌。
The time series of displacement monitoring data obtained in Maoping landslide of Qingjiang are analyzed by using macroscopic study of nonlinear dynamics method.
原先热力架空管道的计算没有考虑到位移的非线性因素，不能正确地反映管道和支座的实际受力情况，现结合热力架空管道和支座的受力情况，给出了力学的计算模型。
As nonlinear factor of displacement is not taken into account in design of thermal overhead pipeline previously, actual stress condition of pipeline and support can't be reacted correctly.
得到了幂率型非线性粘弹性材料，特别是改性聚丙稀的裂纹尖端应力、应变和位移场的解答。
The solution of the crack-tip stress, strain fields for the power law type nonlinear viscoelastic materials, especially for the modified polypropylene, is obtained.
但压电陶瓷的非线性误差与位移量小，一直影响其应用范围的扩大。
Due to the non linear error and micro-displacement, its application is limited.
另外，利用非弹性需求谱确定结构的目标位移是现在的发展趋势，因为它避免了繁琐的非线性时程分析。
On another hand, the seismic performance got from inelastic demand spectrum was increasingly popular because it avoids the complicated nonlinear time history analysis.
通过建立钢板弹簧的曲梁模型，应用虚力原理求解位移，得到了变截面钢板弹簧刚度的几何非线性特性。
A nonlinear characteristic of taper leaf springs is presented by using the model of curved beam and the principle of virtual force.
倾斜吊杆悬索桥的结构分析包含“变作用形式”和大位移两个几何非线性问题。
The structural analysis of inclined boom suspension bridge includes following two geometric nonlinear problems, the changing working structure form and the large flect.
另外磁悬浮隔振器的非线性变刚度特性使得隔振系统在振动位移较大时，能够更有效的隔离外界振动。
It is also found that magnetic suspension isolator's nonlinear characteristics make the system can isolate the external vibration more effectively, when the displacement is large.
研究了强非线性色散位移光纤和光子晶体光纤中的光纤参量放大增益特性。
The characteristic of fiber-optic parametric amplification in the highly nonlinear dispersion-shifted fiber and photonic crystal fiber were researched in detail.
应用矢量坐标变换的方法理论推导了在大量程范围内测量位移与光程差的非线性关系，给出了解析解与数值解。
The nonlinear relation between light travel distance and measured displacement is (deduced) by vector coordinate transforms, and their analytic and numerical results are given.
采用大位移几何非线性理论，研究了变压器低压绕组的辐向稳定性。
The large deformation geometric nonlinear theory is used to study radial stability of transformer low-voltage windings.
采用大位移几何非线性理论，研究了变压器低压绕组的辐向稳定性。
The large deformation geometric nonlinear theory is used to study radial stability of transformer low-voltage windings.
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