弹性梁

The instructive conclusion was: 1 under the vertical loading, the shear-lag effect was produced badly, more severer under concentrated loading than under uniform loading .2 the longitudinal bending deformation of the beam flange was true of the imitating plane assumption of deformation . 3 the width length ratio was confirmed as the first factor working on the shear-lag effect among all the geometric parameters;4 the shear-lag coefficient of simple-supported box-girder was severer than the continuous box-girder, the shear-lag effect in the inner supported section of continuous beam was much more severer, we need paying more attention for it in designing. 5 the non-liner characteristics of material deformation have littlie influence on shear-lag effect in BGCW. 6 the experiential calculating formulation and calculating diagram for the effective flange width was raised with the only factor of the width-span ratio., but the primary location of axis of bending moments should not be changed while calculating the inertial moment .

研究认为：1室内模型试验和空间有限元分析结果均表明波形钢腹板组合箱梁在竖向荷载作用下，翼板出现了典型的纵向应力剪滞效应。2在竖向荷载作用下，截面高度上各点纵向正应变分布认为可符合"拟平截面假定"，以此作为波形钢腹板组合箱梁抗弯计算的基本假定。3箱梁宽跨比是影响波形钢腹板组合箱梁翼板剪滞效应的主要因素。4连续波形钢腹板组合箱梁的翼板剪滞系数大于简支梁，且连续箱梁内支点截面翼板剪滞效应相当严重，对此需十分重视。5当混凝土翼板受力由弹性阶段进入弹塑性阶段时，材料的非线性特性对翼板的剪滞效应影响甚微。6提出了根据组合箱梁的宽跨比参数来计算翼板有效宽度比的经验公式和计算图表，但箱梁截面抗弯惯性矩的计算不应改变原先的截面中和轴位置。

This method makes the complicated space structure calculation decompound into a couple of related plane problem. The bottom structure is supported by longitudinal beams in cross calculation, and then the cross forces and elastic supporting forces are obtained.

横向计算中，底部弹性支承在各纵梁上，可求得结构的横向受力与弹性支承反力；然后将弹性反力作为荷载，反向作用于纵梁上，进行纵梁的受力计算。

Five novel torsion-mirror optical actuators including double-beam thickness differential structure with single torsional axis, double flexible folded-beam structure with single torsional axis, double-beam vertical torsion comb structure with single torsion axis, four-beam differential compound-micromirror structure with double torsional axis and the combined structure of the four basis forms above, are brought forward. All of these devices could be fabricated by the same silicon micromachining process we have developed. The deformation compensation design with local enhancement for the thin torsional beam which is the key structure of these devices is also put forward to improve the reliability. The three-dimension solid model and two-dimension reduced order model of the torsion-mirror optical actuator are established and then the numerical simulations for evaluating the device characteristics of the statics, dynamics, electrostatic field, mechanical and electrostatic coupling, fluid and solid coupling are carried out to optimize the structure design. Furthermore, three optical fibre clamping structures which could be integrated monolithicly are designed and analyzed to improve the optical coupling capability. 4. Three flexible process flows combined with bulk silicon micromachining and surface silicon micromachining are brought forward to fabricate these novel single-crystal silicon or polysilicon torsion-mirror optical actuators by using the same lithography masks for both SOI wafer and regular silicon wafer. A series of important process experiments are carried out to optimize the process parameters and the process flows. Some novel and typical process phenomena which occurred during the microfabrication are analyzed and then the corresponding solutions are put forward. 5. A MEMS dynamic testing system which exploit blur image synthetic technique, stroboscopic image matching technique, stroboscopic mirau microscopic interferometry technique and microscopic laser dopper vibrometer technique is set up to measure three-dimension and six-freedom micro motions of any MEMS devices with nanometer resolution.

在对硅微机械扭转镜光致动器的光机电特性系统地理论研究的基础上提出了硅微机械扭转镜光致动器的结构设计准则。3、提出了单轴双梁厚度差分结构、单轴双柔性折叠梁结构、单轴双梁垂直扭转梳齿结构、双轴四梁差动复合微镜结构以及以上四种基本结构组合后的衍生结构等五种工艺加工技术兼容的新型的硅微机械扭转镜光致动器，对器件关键结构薄厚度、高耐疲劳扭转梁进行了局部加强的变形补偿设计，建立了器件的三维实体模型以及两维降阶模型，对提出的新结构硅微机械扭转镜光致动器进行了系统的静力学、动力学、静电场、力电耦合和流体固体耦合的建模仿真与优化设计，同时设计并分析了三种可实现单芯片集成的弹性光纤定位夹紧结构。4、提出了组合体硅微加工技术与表面硅微加工技术、兼容同一套光刻版图、可分别基于SOI 晶片和普通Si 晶片、适应于制造提出的各种新结构单晶硅和多晶硅硅微机械扭转镜光致动器的三套柔性加工工艺流程，开展了一系列重要工艺步骤的单项工艺试验，对工艺流程与工艺参数进行了优化，针对加工过程中出现的具有普遍意义的典型工艺问题进行了讨论和分析，并提出了解决方法。5、创新性地将模糊图像合成技术、频闪图像匹配技术、频闪Mirau 显微干涉技术与显微激光多普勒测振技术有机结合，建立起了一套周期运动测量与瞬态运动测量相结合、单点运动测量与全视场运动测量相结合、满足不同MEMS 器件各种动态测试要求的集成的MEMS 三维六自由度微运动精密测量系统。

The results of lattice beam internal force calculated method based on double parameter groundsill model are more approach the experiment measured values because of consideration of the pass of shearing force in soil, and its calculated workloads are similar with the method of winkler elastic foundation. Besides, the thesis also discusses the moment of torque affected results on node stress situation and the correction of stress value at the bottom of cross node of lattice beam. Due to the repeat calculation of node area during internal force calculation, the stress value of the bottom of beam is lower, this may lead the calculated value unsafe, but the corrected stress value will more approach to practical situation.

对格构梁的内力计算提出基于双参数地基模型的格构梁内力计算方法，其计算结果表明，双参数地基模型上的格构梁内力由于考虑土中剪力的传递更加接近于试验实测值，其计算工作量与winkler弹性地基梁法相当，此外，文中还探讨了扭矩作用对格构梁节点受力情况的影响结果以及格构梁交叉节点底部的应力值的修正，由于内力计算过程中节点处的面积被重复计算，使得梁底应力偏小，可能导致计算结果的偏于不安全，修正后的应力值更接近于实际情况。

In combination with the crushed rock slope as an example, the allocation of an anchorage force on longitudinal beams and transverse beams is calculated by adopting the distribution coefficient law of the nodal form at first. Then the internal forces of the lattice beam are calculated respectively through the software on the basis of Winkler elastic foundation model and the semi-infinite foundation model, and then compared with the internal forces which are based on simplified foundation pressure calculation. The active pressure of rock is calculated approximately by Ranking soil pressure theory in the working stage. Sequentially, the reinforcing bars are disposed by two-stage's averagely calculated values.

以破碎岩质边坡为例，采用节点荷载分配法计算了锚索锚固力在格构梁纵、横梁之间的分配比率，然后基于Winkler弹性地基模型和弹性半空间地基模型分别计算格构梁在张拉阶段的内力，并与采用简化的地基反力计算值对比；采用朗肯土压力理论近似计算在工作阶段主动岩体压力，将地梁视为在线性分布力作用下倒置于坡面上的连续梁，按力矩分配法计算地梁内力，取两阶段计算平均值进行配筋。

A model of continuous beam with spring supports is put forward to analyse time-dependent structural systems.

针对施工期现浇钢筋混凝土结构的时变性，定义楼板刚度与模板支撑的刚度比为施工时变结构体系的弹性特征值，建立了以施工时变结构体系弹性特征值为参数的现浇钢筋混凝土结构施工受力性能分析的弹性支撑连续梁模型，基于该模型，分析了施工期现浇钢筋混凝土结构的受力特性，发现在特定施工方案下，当施工时变结构体系的弹性特征值较小时，最大施工荷载出现的楼层位置会提前，而拆模时间也会改变最大施工荷载出现楼层的位置；施工时变结构体系的弹性特征值和拆模时间都影响楼层承担的最大施工荷载比率(荷载比率定义为结构承担荷载与楼板自重的比值)；施工期楼层承担的最大施工荷载随楼层位置呈现波动特性，随楼层位置增高波幅逐渐减小，最后趋于稳定。

Based on the results of experimentation and field test as well as the properties of time-dependent structural system, a model of the continuous beam with spring supports for simulating the high-rise concrete building during construction was proposed.

根据室内试验和现场实测的结果，结合施工时变结构的受力特点，针对梁板柱体系混凝土结构，本文建立了施工时变结构体系分析的弹性支撑连续梁模型CBSS(Continuous Beam With Spring Supports)，提出了基于弹性支撑连续梁模型CBSS的高层建筑混凝土结构施工过程受力性能的仿真分析方法。

4Have done a great deal of research work, while on the stiffened ones, Wanget al. [5, 6, 7] have also done a series of research work. But up to now, tothe author's best knowledge, there have been no papers reported in the openliterature on the stability analysis of the laminated composite shells of revo-lution, both unstiffened and stiffened, by the finite element method.

在SABA族元素[1]的基础上，把复合材料各向异性的弹性性质考虑进去，把纵向筋条处理成为空间梁，计入梁偏心的影响，由梁的基本弹性和几何刚度矩阵出发，经过一系列变换，推导出与SABA元素相协调的新的弹性和几何刚度矩阵，从而较为精确地得到了复合材料叠层及加筋的稳定性分析结果。

For the frame foundation beam with prestressed anchor cable on the linearly elastic Winkler foundation model, elastic two-constant foundation model and isotropic elastic half-space foundation model, the thesis puts up the finite element computation model which can consider the harmonious deformation of the beam and foundation and the influences between the prestressed anchor cables. The limit design idea of the cable foundation beam has been brought out, which can ensure the safety of the beam with the limit capability of the anchor cable. The computing procedure has been given and programmed.

给出了包括线弹性Winkler地基模型、双参数线弹性地基模型以及各向同性弹性半空间体地基模型上预应力锚索地梁有限元力学计算模型，该模型能同时考虑地梁与岩土体的协调变形，各锚索预应力之间的相互影响，并据此编制了计算程序；考虑到锚索地梁的工作特点，提出了锚索地梁的极限状态设计思想，在充分发挥锚索承载力的同时保证了地梁的安全，给出了其具体计算过程和有限元程序。

A mechanical impedence method is described to predict the natural frequences of elastic beam under the condition of dynamic supporting with the example of helicopter tail rptor.

本文以直升飞机尾桨为例，介绍了确定弹性梁在动态支承条件下固有频率的一种机械阻抗方法。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。