Solving Nonlinear Differential Equation Governing on the Rigid Beams on Viscoelastic Foundation by AGM

In the present paper a vibrational differential equation governing on a rigid beam on viscoelastic foundation has been investigated. The nonlinear differential equation governing on this vibrating system is solved by a simple and innovative approach, which has been called Akbari-Ganji＇s method （AGM）. AGM is a very suitable computational process and is usable for solving various nonlinear differential equations. Moreover, using AGM which solving a set of algebraic equations, complicated nonlinear equations can easily be solved without any mathematical operations. Also, the damping ratio and energy lost per cycle for three cycles have been investigated. Furthermore, comparisons have been made between the obtained results by numerical method （Runk45） and AGM. Results showed the high accuracy of AGM. The results also showed that by increasing the amount of initial amplitude of vibration （A）, the value of damping ratio will be increased, and the energy lost per cycle decreases by increasing the number of cycle. It is concluded that AGM is a reliable and precise approach for solving differential equations. On the other hand, it is better to say that AGM is able to solve linear and nonlinear differential equations directly in most of the situations. This means that the final solution can be obtained without any dimensionless procedure Therefore, AGM can be considered as a significant progress in nonlinear sciences.

Pseudo-rigid-body Model for Corrugated Cantilever Beam Used in Compliant Mechanisms

Common compliant joints generally have limited range of motion, reduced fatigue life and high stress concentration. To overcome these shortcomings, periodically corrugated cantilever beam is applied to design compliant joints. Basic corrugated beam unit is modeled by using pseudo-rigid-body method. The trajectory and deformation behavior of periodically corrugated cantilever beam are estimated by the transformation of coordinate and superposition of the deformation of corrugated beam units. Finite element analysis（FEA） is carried out on corrugated cantilever beam to estimate the accuracy of the pseudo-rigid-body model. Results show that the kinetostatic behaviors obtained by this method, which has a relative error less than 6%, has good applicability and corrugated cantilever beam has the characteristics of a large range of motion and high mechanical strength. The corrugated cantilever beam is then applied to design a flexible rotational joint to obtain a larger angle output. The paper proposes a pseudo-rigid-body model for corrugated cantilever beam and designed a flexible rotational joint with large angle output.

AN ANALYSIS oF THE SHEAR FAILURE OF RIGID-LINEAR HARDENING BEAMS UNDER IMPULSIVE LOADING

A theoretical rigid-plastic analysis for the dynamic shear failure of beams under impulsive loading is presented when using a travelling plastic shear hinge model which tabes into account material strain hardening. The maximum dynamic shear strain and shear strain-rate can be predicted in addition to the permanent transverse deflections and other parameters. The conditions for the three modes of shear failure, i.e., excess deflection failure, excess shear strain failure and adiabatic shear failure are analyzed. The special case of an infinitesimally small plastic zone is discussed and compared with Nonaka's solution for a rigid, perfectly plastic material. The results can also be generalized to examine the dynamic response of fibre-reinforced beams.

Theoretical analysis of natural frequency of externally prestressed concrete beam based on rigidity correction

A dynamic test on externally prestressed simply supported concrete beams separately with three typical types of tendon distributions was conducted. The results show that the natural frequencies of the beams increase with the increase in the prestressing force at the tensioning stage, and the natural frequencies decrease after the cracks occur in the beams. Following the calculation formula of natural frequency of externally prestressed beam, which was reported in a literature, the natural frequencies of the experimental beams are calculated, and big errors are found between the test results and the calculated ones of natural frequency values. As a result, this paper has tried to adopt two methods to correct the rigidity parameter of the concrete beam in the formula for natural frequency calculation, and to use the corrected formula to calculate the frequencies of the experimental beams. The calculation results indicate a good consistency with the experimental ones, which verifies the feasibility of the corrected formula.

Nonlinear dynamic analysis on rigid-flexible coupling system of an elastic beam

Previous work examined the effect of the attached stiffness matrix terms on stability of an elastic beam undergoing prescribed large overall motion. The aim of the present work is to extend the nonlinear formulations to an elastic beam with free large overall motion. Based on initial stress method, the nonlinear coupling equations of elastic beams are obtained with free large overall motion and the attached stiffness matrix is derived by solving sub-static formulation. The angular velocity and the tip deformation of the elastic pendulum are calculated. The analytical results show that the simulation results of the present model are tabled and coincide with the one-order approximate model. It is shown that the simulation results accord with energy conservation principle.

采用基础激励下力反作用的大挠性结构动力学建模研究

以中心刚体和挠性梁为例,针对缺乏占质量和惯量强势成分中心刚体的刚柔耦合系统进行动力学建模研究.建立了基于基础激励输入和力反作用输出的离散动力学模型,以仿真计算对本文提出的模型进行验证,仿真结果表明,建立的模型解释了动力学刚化现象产生的原因并计算出不同转速下的系统频率,能够准确地解释刚柔耦合系统的动力刚化现象.同时考虑了中心刚体的运动,发现刚体质量和惯量对系统机动后姿态角振动频率有影响.

Static behavior of semi-rigid thin-walled steel-concrete composite beam-to-column joints with bolted partial-depth flush end plate:experimental study

A new type of semi-rigid thin-walled steel-concrete composite beam-to-column joint has been proposed in this paper.Five semi-rigid composite beam-to-column joint specimens subjected to hogging moments under monotonic loading were tested to study the static behavior of this new type of joint.The main variable parameters for the five joint specimens were the longitudinal reinforcement ratio and the joint type.The experimental results designated that the magnitude of extension of the longitudinal reinforcement is the most important factor that influenced the moment-rotation characteristic of the new type of joint.The concrete slabs could resist 3.8%-19.1% of the total shear load applied to the cross-sections near the beam-to-column connection.The edge stiffened elements,such as the flange of the lipped I-section thin-walled steel beam,were capable of having considerable inelastic deformation capacity although they had comparatively large width-to-thickness ratios.The shear failure of the concrete cantilever edge strip must be taken into account in practical design because it has significant influence on the anchorage of the longitudinal reinforcement in the new type of external joints.

全自动检测系统在医用硬式内窥镜检测中的应用研究

目的评价使用全自动硬式内窥镜检测系统对硬式内窥镜光学性能检测的优势,并分析影响硬式内窥镜功能减退的潜在因素。方法选取某三级甲等综合医院2023年5—7月处理的硬式内窥镜镜头78条、导光束161条为研究对象,先后采用目测法和仪器检测法对其进行检测。仪器检测指标包括视向角、视场角、照度、景深、导光率、对焦、内窥镜内部密封性及纯净度;导光束指标包括光纤照度、导光率及色彩测试,比较2种检测方法的结果差异。结果目测法与仪器检测法检测硬式内窥镜镜头的合格率分别为94.87%和73.08%,差异有统计学意义(P<0.05);导光束的合格率分别为98.75%和96.89%,差异无统计学意义(P>0.05);仪器检测结果显示硬式内窥镜镜头的功能障碍主要集中在导光率和照度两方面。结论针对内窥镜镜头检测,仪器检测法明显优于目测法;针对导光束检测,两种检测方法未有显著差异。硬式内窥镜检测系统有助于及早发现硬式内窥镜镜头内部的结构变化和功能减退情况,是一种有助于降低内镜侵入诊疗操作风险、节约医院运营成本的科学检测工具。

风屏障透风率对强风作用下重载铁路刚构-连续梁车桥耦合振动响应的影响

为探究风屏障透风率对强风作用下重载铁路刚构-连续梁车桥耦合振动的影响,先通过节段模型风洞试验获取桥上设置0%,20%,40%,60%和无风屏障5种不同透风率风屏障时车桥系统的三分力系数,再根据弹性系统动力学总势能不变原理建立风-车-桥耦合振动仿真计算分析模型,对不同车速下重载货运列车通过设置不同透风率风屏障刚构-连续梁桥开展风-车-桥系统动力学仿真计算与分析研究。结果表明:在列车上桥初期,桥梁横向位移峰值随透风率的增大而明显减小,而当列车运行趋于满布桥梁时,桥梁的横向位移峰值随透风率的增大变化不明显;列车的动力响应峰值随风屏障透风率的增大而增大,相比于满载编组列车,空载和轻重混编编组列车的动力响应对风屏障透风率的变化更加敏感。综合桥梁动力响应和列车走行安全性评价指标(脱轨系数和轮重减载率),该桥梁应设置40%透风率的风屏障。

装配式冷弯厚壁型钢半刚性梁-柱节点抗震性能试验研究

冷弯型钢在装配式结构中应用具有天然的优势,为了扩展冷弯厚壁型钢结构的使用范围,克服冷弯厚壁钢的缺点,设计6个新型分层装配式“十字型”梁-柱节点,进行循环加载试验,对梁-柱节点的破坏模式、初始刚度、骨架曲线、等效黏滞阻尼系数、能量耗散系数、割线刚度、滞回曲线和关键部位应变分布进行研究,主要得到以下结论:通过螺栓和节点板的滑移,半刚性节点具有一定的耗能能力。增设高强螺栓可以提高梁柱节点的承载力,初始刚度和耗能能力也得到提高,避免梁端与连接板孔壁承压。增加可更换节点翼缘板,对梁-柱节点的破坏模式没有明显影响,承载能力、耗能能力、初始刚度分别得到较大提高。

大跨梁-拱组合刚构桥船撞力和抗撞性能研究

梁-拱组合刚构桥是一种新桥型,船撞研究较少。该文以礼嘉嘉陵江大桥为工程背景,研究大跨度上承式梁-拱组合刚构桥梁的船撞力标准值和抗撞性能。首先确立了代表船型和船撞计算工况,利用ANSYS/LS-DYNA非线性有限元瞬态动力软件模拟了单墩模型在各工况下船桥碰撞过程,并对比了船撞力有限元仿真结果与多种经验公式计算结果。最后利用全桥模型和验算截面的极限承载力反推得到桥墩的极限抗船撞力,对桥墩的抗撞性能进行了评估。结果表明:船撞力具有很强的非线性波动特征,船艏最大撞深发生时刻滞后于最大撞击力发生时刻,船桥碰撞过程中的系统能量主要是由船舶动能转化为船艏局部变形内能;不同的船撞力经验公式的计算结果相差较大,推荐采用动力仿真模拟值;极限抗船撞力验算结果表明礼嘉嘉陵江大桥主墩的抗撞性能满足要求。

大跨度高速铁路桥梁端伸缩装置区段车轨动力响应

为了确保大跨度高速铁路桥梁端伸缩装置区段列车安全运营,通过建立梁端伸缩装置区段车辆-轨道刚柔耦合模型,研究了不同伸缩量、不同车辆行驶速度下梁端伸缩装置各部件动力响应变化规律,并对随机不平顺激励叠加梁端刚度不平顺下车辆运行安全性进行评估。结果表明:梁端伸缩装置各部件动力响应整体随车速增加而呈增大趋势,且各部件垂向加速度随车速变化较大;不同伸缩量下梁端伸缩装置区域钢轨及可动钢枕动力响应整体随梁缝扩大而呈增大趋势,且可动钢枕垂向位移及伸缩装置各部件垂向加速度随伸缩量变化较大;施加随机不平顺后,轮重减载率在车速420 km/h时出现超限情况,钢轨垂向位移在拉伸300~500 mm状态、车速330 km/h时出现超限情况。

半球谐振子超精密修调方法研究

目的研究因谐振子质量缺陷而引起的频率裂解机制,进而对刚性轴位置进行质量高分辨率可控去除,提高陀螺精度。方法首先基于多区域配合划分法建立半球谐振子高精度有限元仿真模型,分析质量大小与位置对谐振子频差的影响规律。其次搭建谐振子振动特性检测平台,利用拍频法实现其频差值和刚性轴位置的精确辨识。最后结合仿真与辨识结果以及离子束加工方法确定谐振子超精密修调方案。结果优化网格划分方法后,谐振子有限元模型频差值小于0.0001Hz,当修调定位误差相同时,在一个范围内的质量去除比单点质量去除的修调效率更高;谐振子质量缺陷四次谐波刚性轴位置辨识精度可达0.1°,与常见的幅值法相比,其精度提高了一个数量级;通过三次点线结合方式进行质量修调后,谐振子频差值小于0.001Hz,修调效率与精度得到了提升。结论提出的谐振子仿真模型、振动特性测试方法以及离子束修调工艺精度较高且可行性较强,对实现半球谐振子性能高精度检测以及高质量加工具有重要意义。

基于索力和振动特性监测的多跨空间异型刚梁柔拱组合桥梁安全韧性分析

对多跨空间异型刚梁柔拱组合体系无推力拱桥进行有限元建模分析,基于振动法对吊杆索力进行检测,通过理论索力与实测索力的对比,分析该类复杂结构桥梁索力的受力规律。同时,基于历年桥梁索力检测结果,研究索力随外部荷载改变时的变化特征,对桥梁索力在长期运营状态下的健康状态进行安全韧性分析。通过测试桥梁的自振特性,分析桥梁结构整体性能,为评价桥梁工作状况提供依据。

钢结构半刚性连接节点研究现状

半刚性连接具刚度、延性和载荷能力,抗震性能优越,施工难度低,是实用且经济的连接方式。但半刚性连接受力复杂,力学特性分析难度大,且国内规范中缺乏针对性的分类标准和设计方法。综合国内外文献规范,简述了梁柱节点的分类及特点,详细介绍了钢结构半刚性节点连接类型、研究方法和研究成果,通过分析当前研究进展,指出未来所需研究的问题与方向,为钢结构半刚性节点研究、设计与实际运用提供思路与参考。

转子偏心效应下大范围转动弹性梁外激励非线性动力学行为与振动机制

为实现大范围转动弹性梁类柔性机械的高速、安全、平稳运行,综合应用Galerkin模态截断法和Hamilton原理建立弹性梁刚-柔耦合动力学模型,并建立转子偏心运动微分方程;基于行波叠加原理,应用高阶Runge-Kutta法完成非线性动力学解耦;应用时、频域分析法解析转子偏心效应下弹性梁的振动机制以及外激励下的频谱响应特性。研究结果表明:外激励响应在转子偏心效应下会衍生新的低频谐波分量,转速和激励幅值的增加会导致频域内多个低频谐波分量高于主振,易引发不同程度的间歇性振动;外激励频率提高会引起频域谱峰后移,数值仿真5~35 Hz频段的外激励,当频率为25 Hz时其低频谐波分量是主振幅值的2倍,高达0.181 mm,进而呈现明显的外激励突发性激振。因此,借助时、频域分析可有效解析具有随机性的间歇性或突发性振动产生机制,可为大型旋转柔性机械的动力学优化设计提供重要的理论基础和数据支持。

超大跨度无砟轨道混凝土连续刚构铁路桥梁部施工及变形控制技术研究

结合106 m+198 m+106 m连续刚构桥,介绍了0#节段的主要施工流程和施工方法,以及悬臂挂篮施工技术,在施工中采取数字化的线性监控和严格的施工控制措施,保证连续梁施工尽量符合梁部高性能混凝土的徐变值,使后期梁部及混凝土变形尽量接近设计值。

Norea矮塔斜拉桥索力优化

为确定柬埔寨Norea三跨双塔单索面混凝土矮塔斜拉桥的最优成桥索力,基于有限元模型,分别采用刚性支撑连续梁法、最小弯曲能法、影响矩阵法对成桥索力进行了分析和优化。结果表明:三种优化方法中以影响矩阵法得到的索力值效果最好,将最终优化索力值与原设计值对比,分析了斜拉桥的内力、位移以及应力变化,在恒荷载或恒荷载+附加荷载组合作用下,优化后的索力分布更加均匀,结构整体的弯矩、位移以及应力均有所减小,矮塔斜拉桥整体受力和线形更加理想。

原竹抱口梁柱节点抗弯性能研究

竹材作为一种新型的绿色环保建筑材料,梁柱连接是现代竹结构推广需要考虑的重要问题。为了丰富原竹节点的形式,探究不同构造措施下梁柱节点的刚度和承载力,设计制作了3种形式的原竹抱口梁柱连接节点,按照金属连接件构造的不同命名为简易钢夹节点J1、贯通螺栓节点J2和自攻螺钉节点J3。每一种节点内部依据不同原竹等级设计3组试件,通过单调加载试验,探究节点弯曲力学性能及破坏特征,得到了3种节点的弯矩-转角曲线。基于弯矩-转角曲线变化特征,提出三折线刚度分析模型拟合节点分段刚度参数值,应用欧洲钢结构规范节点类型判别方法,对节点的半刚性程度进行了验证。结果显示:贯通螺栓节点J2和简易钢夹节点J1属于半刚性节点;自攻螺钉节点J3属于铰节点。研究表明:原竹等级对于简易钢夹节点J1和自攻螺钉节点J3的抗弯性能影响不敏感;对于贯通螺栓节点J2的抗弯性能影响显著,等级为T8时与连接件的协同工作性能最优。研究成果可为现代竹结构应用提供理论依据。

穿坡油气管道的框架桩防护结构分析方法

针对沿山坡走向铺设的埋地油气管道存在的抗震防护问题,提出了一种新型的框架型抗滑桩式管道防护结构。在采用拟静力法确定作用于结构地震滑坡推力的基础上,将位于滑面以上的结构受荷段作为底端固定的平面框架结构,采用超静定平面刚架结构模型分析;而位于滑面以下的嵌固段则为埋置于稳定地层的两单桩结构,采用侧向受荷的弹性地基梁模型分析,由此建立了框架型抗滑桩的内力及位移计算方法。实例分析表明:框架桩前、后桩及上、下横梁弯矩与剪力的理论计算值与数值模拟结果误差均在±20%以内,理论结果偏于保守;水平地震影响系数对结构内力影响显著,结构内力最大值随水平地震影响系数增加近似呈线性增大,而竖向地震影响系数影响较弱;结构最大内力与土体重度呈线性正相关性,与黏聚力和内摩擦角呈非线性负相关性,且随着土体抗剪强度参数的增大,前、后桩以及上、下横梁的内力分别趋于接近;前、后排桩与上、下横梁的最大内力分别与桩体抗弯刚度呈非线性正相关性与负相关性,而分别与桩体嵌固深度近似呈线性正相关性与负相关性;框架桩间距对结构内力影响显著,而前后桩排间距则对结构内力影响较小。