A Single Mooring System with Sag-Extensibility and Flexural Rigidity Applied to Offshore Platform

Floating platform system has been extensively used in ocean exploitation, particularly for a tension-leg platform （TLP） system in deep water. Most of the TLPs are multi-mooring systems, where multi-joints are connected to the tension-legs so that the platform is not allowed to twist freely and may subject to enormous force induced by large incident waves in the weak-direction of the structure. This study aims to exploit a single moored offshore platform system that may attract less force and can be operated with less effort. In our analysis, in addition to mechanical properties of the tether, two important properties are also taken into consideration for the single mooring tether with expanded cross sectional dimension and utilization of stronger material, namely, the sag-extensibility and the flexural rigidity. Finally, the dynamic structural behavior produced by the mechanical effects on the new system is investigated and compared with that of traditional design while the wave-structure interactions of large body are also accounted for. Our study finds that the neglect of sag-extensibility or the flexural rigidity of large, strong mooring cable may result in a conservative but not necessarily safe design.

Flexural rigidity of honeycomb consisting of hexagonal cells

In this study,the flexural rigidity of a honeycomb consisting of regular hexagonal cells is investigated.It is found that the honeycomb bending can not be evaluated by using the equivalent elastic moduli obtained from the in-plane deformation because the moments acting on the inclined cell wall are different for in-plane deformation and bending deformation.Based on the fact that the inclined wall is twisted under the condition of the rotation angle in both connection edges being zero,a theoretical technique for calculating the flexural rigidity of honeycombs is proposed,and the validity of the present analysis is demonstrated by numerical results obtained by BFM.

Modulated thermal transport for flexural and in-plane phonons in double-stub graphene nanoribbons

Thermal transport properties are investigated for out-of-plane phonon modes （FPMs） and it-plane phonon modes （IPMs） in double-stub graphene nanoribbons （GNRs）. The results show that the quantized thermal conductance plateau of FPMs is narrower and more easily broken by the double-stub structure. In the straight GNRs, the thermal conductance of FPMs is higher in the low temperature region due to there being less cut-off frequency and more low-frequency excited modes. In contrast, the thermal conductance of IPMs is higher in the high temperature region becau~,＇.e of the wider phonon energy spectrum. Furthermore, the thermal transport of two types of phonon modes can be modulated by the double-stub GNRs, the thermal conductance of FPMs is less than that of IPMs in the low temperatures, but it dominates the contribution to the total thermal conductance in the high temperatures. The modulated thermal conclu~＇tanc：e can provide a guideline for designing high-performance thermal or thermoelectric nanodevices based on graphene.

Flexural behavior of in-plane bending glass structures for design method

Experimental study was carried out on the in-plane bending behavior of glass plates without lateral supports, and the effects of the factors, such as height-to-span ratio, on the stability of glass panels were studied. Results show that the in-plane bending glass plates with both ends simply supported and their upper edge free lose overall stability under loads, which belongs to the limit-point type of instability. It is found that the buckling load increases linearly with the increase of height-to-span ratio of the glass plates. The lateral stress of in-plane bending glass plates without lateral supports increases linearly under loads; while the large-area stress increases nonlinearly and the lateral stress is not the controlling factor of instability. In finite element analysis, the first buckling mode is regarded as the initial imperfection and imposed on the model as 1/1000 of the span of the components. The numerical buckling load according to the theory of large deflection is less than the experiment result, which is more conservative and can provide some reference for design. For the design method, when the in-plane load is imposed on the glass plate, its lateral strength and the deflection should be verified. Considering the stability of the in-plane bending glass plate without reliable lateral support, buckling is another possible failure mode and calls for verification.

Cable flexural rigidity influence on suspension bridges static properties

In order to figure out the cable flexural rigidity influence on suspension bridges,a contrast model experiment is made:a chain cable model with no flexural rigidity and a wire cable model with some flexural rigidity.And then,four finite element models of a same long-span suspension bridge with different cable element are set up to be analyzed.Both experimental and numerical simulation results show that,with the increase of the span and the decrease of sag-span ratio,the influence of the cable flexural rigidity is significant.The difference of nodes displacement reaches more than 10 cm in construction analysis,which will bring some trouble to the construction.And the difference of the maximum section edge normal stress may reach 15%,which may have an adverse impact onto the bridge.Therefore,considering the cable flexural rigidity is necessary on some analysis of suspension bridges.

Flexural rigidity evolvement laws of reinforced concrete beams strengthened with carbon fiber laminates

Extensive research has shown that externally bonded carbon fiber reinforced polymer （CFRP） laminates are particularly suitable for improving the fatigue behavior of reinforced concrete （RC） beams. This paper presents the research on flexural ngidity evolvement laws by testing 14 simple-supported RC beams strengthened with carbon fiber laminates （CFL） under cyclic load, and 2 under monotone load as a reference. The cyclic load tests revealed the peak load applied onto the surface of a supported RC beam strengthened with CFL is linear to the logarithm of its fatigue life, and the flexural rigidity evolvement undergoes three distinct phases： a rapid decrease from the start to about 5% of the fatigue life; an even development from .5% to about 99% of the fatigue life; and a succedent rapid decrease to failure. When the ratio of fatigue ＂cycles to the fatigue life is within 0.0.5 to 0.99, the flexural rigidity varies linearly with the ratio. The peak load does not affect the flexural rigidity evolvement if it is not high enough to make the main reinforcements yield. The dependences of the flexural rigidity of specimens formed in the same group upon their fatigue cycles normalized by fatigue life are almost coincident. This implies the flexural rigidity may be a material parameter independent of the stress level. These relationships of flexural rigidity to fatigue cycles, and fatigue life may be able to provide some hints for fatigue design and fatigue life evaluation of RC member strengthened with CFL; nevertheless the findings still need verifying by more experiments.

Flexural-gravity wave resistances due to a surface-moving line source on a fluid covered by a thin elastic plate

Analytical solutions for the flexural-gravity wave resistances due to a line source steadily moving on the surface of an infinitely deep fluid are investigated within the framework of the linear po- tential theory. The homogenous fluid, covered by a thin elastic plate, is assumed to be incompressible and inviscid, and the motion to be irrotational. The solution in integral form for the wave resistance is obtained by means of the Fourier transform and the explicitly analytical solutions are derived with the aid of the residue theorem. The dispersion relation shows that there is a minimal phase speed cmin, a threshold for the existence of the wave resistance. No wave is generated when the moving speed of the source V is less than emin while the wave resistances firstly increase to their peak values and then decrease when V ~〉 Crnin. The effects of the flexural rigidity and the inertia of the plate are studied. @ 2013 The Chinese Society of Theoretical and Applied Mechanics. [doi：10.1063/2.1302202]

Plate reinforced square hollow section X-joints subjected to in-plane moment

The static test of 13 square hollow section(SHS) X-joints with different β and different types of plate reinforcement under in-plane moment in brace was carried out. Experimental test schemes, failure modes of specimens, moment-vertical displacement curves, moment-deformation of the chord, and strain strength distribution curves were presented. The effect of β and plate reinforcement types on in-plane flexural property of SHS X-joints was studied. Results show that punching shear of chord face disappears, brace material fracture appears and concave and convex deformation of chord decrease when either collar plates or doubler plates were welded on chord face. Moment-vertical displacement curves of all specimens have obvious elastic, elastic-plastic and plastic stages. As β increases, the in-plane flexural ultimate capacity and initial stiffness of joints of the same plate reinforcement type increase, but ductility of joints decreases. With the same β, the in-plane flexural initial stiffness and ultimate capacity of doubler plate reinforced joints, collar plate reinforced joints, and unreinforced joints decrease progressively. Thickness of reinforcement plate has no obvious effect on in-plane flexural initial stiffness and ultimate capacity of joints. As thickness of reinforcement plate increases, the ductility of reinforced X-joints decreases. The concave and convex deformation of every specimen has good symmetry;as β increases, the yield and ultimate deformation of chord decrease.

Equivalent Rigidity at the Minor Axis of Concrete Hollow Slab Based on Continuity Analysis

Basic assumptions are proposed for the continuity model of a tubular hollow slab combined with continuity analysis and calculation of a finite-element model;the continuity Equation of a tubular hollow slab at the minor axis supported at two ends of the hollow axle under a vertical even load is determined and solved. The overall equivalent flexural rigidity is then determined, which provides important conditions for the continuity analysis of tubular hollow floor supported along four sides.

Novel Annulus-shaped Flexure Pivot in Rotation Application and Dimensionless Design

Large-deflection flexure pivot is widely used in high precision rotation application, but there are less flexure configurations and simple and convenient design methods, This paper presents a novel large-deflection curved-compliant annulus-shaped flexure pivot composed of six curved beam flexure elements. It can offer more than lO^angular stroke theoretically. Firstly, main-motion pseudo-rigid-body method is introduced to establish the flexure pivot model. Although pseudo-rigid-body method can be used to analyze the large-deformation flexure pivot performance, the method is definitely a laborious and difficult task for designing this novel flexure pivot. In order to simply the designing process, dimension-design graphs based on the parametric models and finite element analysis is presented. Using the dimension-design method as a tool, the designers can determine the optimal geometry rapidly, based on the stiffness and rotation demands of an annulus-shaped flexure pivot. Finally, dimension-design graph examples are given whose primary design aims to achieve a rotation stroke of annulus-shaped flexure pivot. The finite element analysis results show that the relative designing error between anticipative rotation stroke and graph design result is less than 4%. The dimensionless method used in designing annulus-shaped flexure pivot can reduce design process in both time and complexity. The novel annulus-shaped flexure pivot and dimension-design method are helpful supplement to configuration and design method of large-deflection flexure pivot.

Analysis of the Micro-Rotation Compliant Mechanism Based on the Corner-Filleted Flexure Hinges

The purpose of this thesis is to derive the flexibility formula of the corner-filleted flexure hinge easily and conveniently and use it to design a micro-rotation compliant mechanism. Firstly,we get the corner-filleted flexure hinge flexibility formula by methods of symmetry transformation and coordinates translation. The correctness of this formula is validated on the basis of the finite element method and under the premise that the effects of shear stress are taken into consideration. Then a micro-rotation compliant mechanism is designed in accordance with the corner-filleted flexure hinge,and the deduction and analysis of its working moment/rigidity are conducted. Moreover,this theoretical formula is proved to be accurate and reliable through the finite element analysis and the experimental verification,based on which the structural design and optimization can be made on the rotating part of a micro adjustment device. The results illustrate that designing and optimizing the structures by the analysis model is convenient and reliable so that complicated 3D modeling and finite element analysis are not needed.

空间四自由度柔顺并联机构设计与仿真

设计了一种由压电陶瓷驱动的整体式空间四自由度柔顺并联定位平台,使用柔性铰链代替传统的运动副,消除了传统机构铰链配合的摩擦与间隙。建立了空间四自由度定位平台的运动学模型,使用三维建模软件建立几何模型。通过计算得到解析结果,并对空间四自由度柔顺并联定位平台进行有限元分析,得到其位移特性。比较理论计算和有限元仿真结果,得出误差在允许范围内,验证了设计的定位平台的可行性。

大小跨高比落叶松胶合木梁抗弯性能对比研究

为对比大小跨高比落叶松胶合木梁的抗弯性能,对2组6根落叶松胶合木梁进行了四点弯曲试验研究,其中两组试件跨高比分别为20和12。结果表明:大、小跨高比胶合木梁的破坏形式分别为顺纹受拉脆性破坏和顺纹受剪脆性破坏;与大跨高比胶合木梁相比,小跨高比胶合木梁受弯极限承载力相对较高;大跨高比胶合木梁受弯过程中,中性轴位置基本不变;小跨高比胶合木梁受弯过程中,中性轴略有下移。小跨高比胶合木梁抗弯刚度约为大跨高比胶合木梁的3.4倍;大跨高比胶合木梁延性系数约为小跨高比胶合木梁的3.9倍。最后,基于极限应变分析方法,提出了胶合木梁发生受拉和受剪破坏界限跨高比的计算公式,并求得落叶松胶合木梁的界限跨高比为12.62。

非线性波浪与柔性水面漂浮式光伏结构作用的数值模拟

大型水面漂浮式光伏系统具有水平面积大、垂向抗弯刚度低的特点,在外海波浪作用下,柔性光伏系统的水弹性运动响应较大。针对漂浮式柔性光伏结构的特点,建立了二阶非线性波浪与柔性漂浮式光伏耦合作用的频域数值模型,基于模态展开法实现结构运动与流体作用的解耦。其中,柔性漂浮式光伏结构的水弹性运动响应利用经典欧拉-伯努利梁振动方程模拟,流体域利用二维Rankine源及关于海底的镜像作为格林函数建立边界积分方程,采用高阶边界元方法求解。通过对比验证,建立的耦合模型具有较好的精度。利用该模型计算分析了不同波高和结构抗弯刚度时的结构运动响应,发现非线性波浪力引起的结构运动响应不可忽略。还研究了波浪周期和结构抗弯刚度对结构弹性变形的影响规律:波浪周期越大,结构的弹性变形越由低阶模态占主导,结构运动幅值分布越平缓;结构抗弯刚度越小,结构的弹性变形包含越多高阶模态成分,结构运动幅值分布波动越大。

隐伏式缓倾顺层边坡滑移弯曲破坏机制及影响因素研究

针对隐伏式缓倾顺层边坡在降雨条件下易发生滑移弯曲破坏的问题,运用静力学分析法和能量分析法,在地质概化模型基础上建立了岩层发生滑移弯曲破坏的弯曲破坏段长度和临界坡长计算公式,以朱雀洞滑坡为算例对弯曲破坏段长度方程的合理性进行了验证,并对此类隐伏式缓倾顺层边坡发生滑移弯曲破坏的影响因素进行了分析。结果表明:层间内摩擦角、岩层倾角对弯曲段长度影响最大,地下水沿层间上升长度、岩层厚度、坡长、层间黏聚力和岩体综合弹性模量影响较小;对于给定的隐伏式缓倾顺层边坡,地下水在坡体内的空间关系是隐伏式缓倾顺层边坡产生滑移弯曲破坏的重要外在因素。同时,对隐伏式缓倾顺层软质岩边坡岩体抗弯刚度的取值进行了讨论,引入岩体弹性模量调整系数,并给出了相应的计算公式。

锈蚀钢筋混凝土梁抗弯刚度分析与计算

在阐述锈蚀混凝土梁结构性能的基础上 ,分析了影响锈蚀梁刚度退化的众多因素 ,结合试验数据 ,提出了锈蚀梁抗弯刚度的计算方法 ,建立了由于锈蚀使粘结力下降导致刚度退化的模型 ,可为混凝土结构耐久性评估提供科学依据。

小麦茎秆抗弯性能研究

该文以小麦茎为研究对象,建立了有限元计算模型。通过非线性屈曲分析,发现通过改变几何或者物理参数能够模拟出小麦茎不同的失稳形式,其中最明显的影响因素为壁厚和横、纵向弹性模量比。以此为参考,对两个生长期的小麦茎进行四点弯曲试验,研究不同节位茎的抗弯能力,曲率与惯性矩之间的关系和失稳模式。研究表明B raz ier屈曲是小麦茎失稳的主要原因。从开花期到成熟期茎抗弯刚度下降,发生B raz ier屈曲的几率增加。

基于伪刚体模型法的全柔性机构位置分析

柔性机构是一种依靠构件元素的弹性变形传输所希望运动的机构。具有集中柔度的全柔性机构是其中的一种类型，其特征是机构中传统形式的铰链全部被柔性铰链所代替。对它的研究，近年来也已成为一个热点。为探索这类全柔性机构的运动学问题，首先建立起柔性铰链变形刚度模型。在此基础上，提出了一种扩展的伪刚体模型法，很好地解决了机构的位置正、反解问题。

基于参数灵敏度分析的吊杆索力识别

考虑目前钢管混凝土系杆拱桥吊杆的新型施工工艺及其复杂的锚固约束情况,以吊杆的索力值、抗弯刚度和计算长度作为未知参数,分析吊杆频率对各参数的敏感程度,基于参数灵敏度的迭代算法可同时计算出吊杆索力值,抗弯刚度和计算长度。运用该方法对4根不同参数的吊杆数值分析,结果表明该方法不仅有很高的精度,而且还适用于频率值受抗弯刚度影响较大的短吊杆。同时对一座钢管混凝土拱桥的吊杆进行测试分析,证明了该方法实用可行。

大洋和大陆边缘岩石圈有效弹性厚度的研究意义

大洋岩石圈有效弹性厚度分布在 (45 0± 15 0 )℃等温面内 ,并且随着加载时岩石圈年龄的增加而增加。因此 ,大洋岩石圈的挠曲刚度强烈地依赖岩石圈的热结构。一些海隆下岩石圈有效弹性厚度的降低 ,可能是岩石圈经历过热活化 ,岩石圈热年龄降低的结果。大西洋一些群岛的岩石圈有效弹性厚度小于理论值 ,则反映了岩石圈结构的不同。在海沟 ,板块的挠曲也是影响岩石圈有效弹性厚度的因素 ,它降低了岩石圈的强度。在被动大陆边缘海陆岩石圈交界处 ,向陆的方向 ,岩石圈弹性厚度比同年龄的大陆或大洋岩石圈的小 ,表明强度明显降低 ;向大洋方向 ,岩石圈的弹性厚度与正常的大洋岩石圈弹性厚度吻合。在活动大陆边缘的挠曲前陆盆地和造山带 ,岩石圈有效弹性厚度变化较大 ,部分地区受先前的岩石圈低强度影响 ,而表现出岩石圈强度的弱化。同时 ,这种方法还广泛地用于大洋中脊岩浆侵位、地幔流动、南太平洋超级海隆的动力学机制、大陆边缘的变形和构造演化。