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Mechanical Analysis of Road Graben Slopes Based on Saturated-Unsaturated Seepage Theory 基于饱和-非饱和渗流理论的道路地堑边坡力学分析
Q3 MECHANICS Pub Date : 2023-09-28 DOI: 10.13052/ejcm2642-2085.3234
Li Peijun, Lu Hao, Li Qing
As the construction of mountainous highways continues to heat up, the stability analysis of road graben slopes becomes one of the current research hotspots. In this paper, based on the saturated-unsaturated seepage theory, the force analysis of the road graben slope under rainfall conditions and its laws are studied. Firstly, the damage mode of the road graben slope and its three damage stages of creeping deformation, sliding damage and tendency to stability are summarized according to the engineering practice and literature survey, and the right side of the road graben slope from K316+439 to K316+859 of Longlian Expressway is monitored, so as to amend the next theoretical analysis. The three stages of rainfall infiltration were analyzed, the state variables and material variables of soil water were selected according to the continuous medium theory and the soil water suction analysis was carried out. Based on the saturated-unsaturated seepage theory, the fluid-structure interaction mathematical model and soil moisture characteristic curve (SWCC) model under rainfall infiltration conditions were established, and the stress of the cutting slope under saturation conditions was analyzed. The experimental results show that for the soil at the foot of the slope, the infiltration depth of rainfall is limited due to the low permeability coefficient, and the change of seepage field is not obvious; the longer the rainfall is held, the deeper the infiltration depth is, and the rainfall will continuously replenish the groundwater, so the force on the slope of the road graben will increase continuously and finally reach the limit of damage. When the rainfall intensity is 5mm-h-1, the decline of stability coefficient for 48 h is 0.121; the initial stability coefficient of the slope is the largest when the dip angle of the weak interlayer is equal to 25∘, and the stability coefficient decreases rapidly with the rainfall time, and when the rainfall reaches 60 h, the stability coefficient tends to be stable and the equilibrium of the slope force no longer changes.
随着山地公路建设的不断升温,公路地堑边坡的稳定性分析成为当前的研究热点之一。本文基于饱和-非饱和渗流理论,研究了降雨条件下道路地堑边坡的受力分析及其规律。首先,根据工程实践和文献调查,总结了道路地堑边坡的破坏模式及其蠕变变形、滑动破坏和趋于稳定三个破坏阶段,并对龙莲高速公路K316+439 ~ K316+859路段的道路地堑边坡右侧进行了监测,以修正下一步的理论分析。对降雨入渗的三个阶段进行了分析,根据连续介质理论选取了土壤水分的状态变量和物质变量,并进行了土壤吸力分析。基于饱和-非饱和渗流理论,建立了降雨入渗条件下的流固耦合数学模型和土壤水分特征曲线(SWCC)模型,分析了饱和条件下路堑边坡的应力。试验结果表明:对于坡脚下的土壤,由于渗透系数低,降雨的入渗深度受到限制,渗流场变化不明显;降雨保持的时间越长,入渗深度越深,降雨会不断补充地下水,所以作用在道路地堑边坡上的力会不断增大,最终达到破坏的极限。当降雨强度为5mm-h-1时,48 h稳定系数下降幅度为0.121;当弱夹层倾角等于25°时,边坡的初始稳定系数最大,稳定系数随降雨时间迅速减小,当降雨达到60 h时,稳定系数趋于稳定,边坡力的平衡不再改变。
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引用次数: 0
Mechanical Characteristics and Correlation Analysis of Crack Propagation and Slip Cracking in Asphalt Pavement Surface Layer 沥青路面面层裂缝扩展与滑裂的力学特性及相关性分析
IF 1.2 Q3 MECHANICS Pub Date : 2023-07-11 DOI: 10.13052/ejcm2642-2085.3222
Yin Zhenyu
With the rapid development in the field of road traffic, the problems of slip cracking and U-shaped cracks on the surface of asphalt pavement are becoming more and more prominent, which seriously affect the safety and service life of roads. In order to solve this problem, a reliable asphalt pavement model is established in this study by combining the joint simulation and secondary development of experimental test parameters. The model can accurately simulate the slip cracking of asphalt pavements under different conditions and provide detailed parametric analysis of the factors affecting crack development. The results show that the inter-ply bond damage no longer deteriorates when the inter-ply strength is 0.3 MPa, indicating that the form of inter-ply contact plays a role in controlling the development of slip cracks. In addition, the maximum interlayer shear stress increased by 21.1% during the increase of vehicle axle load from 100 kN to 200 kN on the asphalt pavement, which led to an increase in the length of slip cracks. Meanwhile, the maximum longitudinal tensile stress in the asphalt pavement surface layer increased by 10.2% and the maximum shear stress increased by 18.3% when the elastic modulus of the asphalt pavement surface layer was increased from 7500 MPa to 14500 MPa.
随着道路交通领域的快速发展,沥青路面表面滑裂和u型裂缝问题日益突出,严重影响道路的安全性和使用寿命。为了解决这一问题,本研究采用联合仿真和二次开发试验试验参数相结合的方法,建立了可靠的沥青路面模型。该模型能够准确地模拟不同条件下沥青路面的滑移裂缝,并对影响裂缝发展的因素进行详细的参数化分析。结果表明:当层间强度为0.3 MPa时,层间粘结损伤不再恶化,表明层间接触形式对滑移裂纹的发展起着控制作用;此外,当车辆轴载从100 kN增加到200 kN时,沥青路面层间最大剪应力增加了21.1%,导致滑裂长度增加。同时,当沥青面层弹性模量从7500 MPa增加到14500 MPa时,沥青面层最大纵向拉应力增加了10.2%,最大剪切应力增加了18.3%。
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引用次数: 0
Effect of Nonlocal Elasticity and Phase Lags on the Magneto Thermoelastic Waves in a Composite Cylinder with Hall Current 非局部弹性和相位滞后对霍尔电流复合圆柱体中磁热弹性波的影响
IF 1.2 Q3 MECHANICS Pub Date : 2023-07-11 DOI: 10.13052/ejcm2642-2085.3223
R. Selvamani, S. Mahesh, F. Ebrahimi
In this study, the effect of nonlocal scale value and two phases lags on the free vibration of generalized magneto thermoelastic multilayered LEMV (Linear Elastic Material with Voids)/CFRP (Carbon Fiber Reinforced Polymer) composite cylinder is studied using nonlocal form of linear theory of elasticity. The governing equation of motion is established in longitudinal axis and variable separation model is used to transform the governing equations into a system of differential equations. To investigate vibration analysis from frequency equations, the stress free boundary conditions are adopted at the inner, outer and interface boundaries. The graphical representation of the numerically calculated results for frequency shift, natural frequency, and thermoelastic damping is presented. A special care has been taken to inspect the effect of nonlocal parameter on the aforementioned quantities. The results suggest that the nonlocal scale and the phase lag parameters alter the vibration characteristics of composite cylinders significantly.
本文采用线性弹性理论的非局部形式,研究了非局部尺度值和两相滞后对广义磁热弹性多层LEMV /CFRP(碳纤维增强聚合物)复合材料筒体自由振动的影响。在纵轴上建立运动控制方程,利用变量分离模型将控制方程转化为微分方程组。为了进行频率方程的振动分析,在内部、外部和界面边界处采用了无应力边界条件。给出了频移、固有频率和热弹性阻尼的数值计算结果的图形表示。特别注意考察了非局部参数对上述量的影响。结果表明,非局部尺度和相位滞后参数显著改变了复合材料圆柱的振动特性。
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引用次数: 0
Force Calculation of Mechanical Model of Pile-anchored Support Structure Based on Elastic Foundation Beam Method 基于弹性基础梁法的桩锚支护结构力学模型受力计算
IF 1.2 Q3 MECHANICS Pub Date : 2023-07-11 DOI: 10.13052/ejcm2642-2085.3224
Zhang Shihao, Han Lingjie, Tang Huarui
With the widespread use of deep foundation pit engineering in engineering construction, the force calculation problem about deep foundation pit support engineering has become a common problem in today’s engineering construction process. In this paper, based on the elastic foundation beam method, a simplified mechanical model of pile-anchored structure is proposed, and a systematic and practical calculation method is proposed for the force and deformation calculation of deep foundation pit support structure. The method simplifies the support structure as a vertically placed elastic foundation beam, the support, anchor and geotechnical body are replaced by a spring system, the spring stiffness of geotechnical soil can be calculated by the deformation modulus of geotechnical soil, and a systematic calculation method is proposed for the dynamic characteristics of the construction and structure of the foundation pit project; Based on the monitoring data of a deep foundation pit project, the calculation method of the simplified mechanical model proposed in this paper is verified, and the theoretical calculation value is compared with the field monitoring results; Single factor analysis is carried out on the detailed parameters of pile-anchor supporting structure to study the influence of cable prestress, cable dip Angle, pile diameter, pile length and other related parameters on the deformation and stress characteristics of supporting structure. Then the orthogonal combination of all factors is carried out to propose the optimization design. The results show that the maximum settlement deformation of the calculated value is 23.437 mm, and the maximum settlement deformation of the monitored value is 26.517 mm, and the difference between them is small. The maximum bending moment is 1210 kN⋅m after 150 kN and 250 kN horizontal prestressing is added to the second- and third-layer anchors respectively. After optimization, the maximum bending moment of pile row is 336.87 kN⋅m, and the maximum horizontal displacement of pile body is 16.505 mm, which is reduced by 11.97% compared with the original design.
随着深基坑工程在工程建设中的广泛应用,深基坑支护工程的受力计算问题已成为当今工程建设过程中普遍存在的问题。本文在弹性基础梁法的基础上,提出了桩锚结构的简化力学模型,为深基坑支护结构的受力和变形计算提供了系统实用的计算方法。该方法将支护结构简化为竖向布置的弹性基础梁,将支护、锚杆和土工体用弹簧系统代替,利用土工土的变形模量计算土工土的弹簧刚度,提出了一种系统的基坑工程建筑结构动力特性的计算方法;基于某深基坑工程监测数据,对本文提出的简化力学模型计算方法进行了验证,并将理论计算值与现场监测结果进行了对比;对桩锚支护结构的详细参数进行单因素分析,研究索预应力、索倾角、桩径、桩长等相关参数对支护结构变形和应力特性的影响。然后对各因素进行正交组合,提出优化设计方案。结果表明:计算值的最大沉降变形量为23.437 mm,监测值的最大沉降变形量为26.517 mm,两者相差不大。第二层和第三层锚杆分别施加150 kN和250 kN水平预应力后,最大弯矩为1210 kN⋅m。优化后的桩排最大弯矩为336.87 kN⋅m,桩身最大水平位移为16.505 mm,比原设计减小11.97%。
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引用次数: 0
Slope Stability Analysis Based on the Coupling of SA and Limit Equilibrium Mechanics 基于SA与极限平衡力学耦合的边坡稳定性分析
IF 1.2 Q3 MECHANICS Pub Date : 2023-07-11 DOI: 10.13052/ejcm2642-2085.3221
Guo Yunhong, Zhao Liang
The limit equilibrium strip method of slope has become mature, but because of the complexity of slope instability with many degrees of freedom and high nonlinear, a more three-dimensional and mature method is needed for slope problems. Based on the overall force balance and moment balance of slope, a unified model of three dimensional limit balance methods is established in this paper. Given different assumptions, the analytical expressions of each traditional model are obtained to avoid the problem of difficult boundary treatment when the original method is divided into bars and columns. The influence of the trailing edge point B and shear outlet A on the central axis of the sliding body, and the control arc radius variable t on the calculated value of the three-dimensional slope stability coefficient is discussed in detail. Then, based on the simulated annealing algorithm, the state generating function, state accepting function and temperature updating function are constructed, and the calculation method of optimizing the sliding surface search of the slope by using the simulated annealing algorithm is proposed, and the stability analysis of the slope of a hydropower reservoir dam area in Guangxi is carried out. The results show that the position of the sliding surface obtained by searching around the design value K = 1.10 is basically consistent with the actual one, which proves that the mechanical analysis method of coupling SA and limit equilibrium is convenient and efficient in the slope stability analysis.
边坡的极限平衡条法已经较为成熟,但由于边坡失稳具有多自由度和高度非线性的复杂性,需要一种更加三维化和成熟的方法来解决边坡问题。在边坡整体力平衡和弯矩平衡的基础上,建立了三维极限平衡方法的统一模型。在不同的假设条件下,得到了各传统模型的解析表达式,避免了原方法分柱分柱时边界处理困难的问题。详细讨论了滑体中轴线上尾缘点B和剪切出口A以及控制圆弧半径变量t对三维边坡稳定系数计算值的影响。然后,在模拟退火算法的基础上,构造了状态生成函数、状态接受函数和温度更新函数,提出了利用模拟退火算法优化边坡滑面搜索的计算方法,并对广西某水电站坝区边坡进行了稳定性分析。结果表明,在设计值K = 1.10附近搜索得到的滑动面位置与实际位置基本一致,证明了SA与极限平衡耦合的力学分析方法在边坡稳定性分析中是方便有效的。
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引用次数: 0
Calculation of Rock Pressure in Loess Tunnels Based on Limit Equilibrium Theory and Analysis of Influencing Factors 基于极限平衡理论的黄土隧道岩石压力计算及影响因素分析
IF 1.2 Q3 MECHANICS Pub Date : 2023-06-30 DOI: 10.13052/ejcm2642-2085.3211
Cheng Danjiang, Hua Junfeng, Zhu Jianguo, Ji Yang, Hu Zhaoguang
The research on the calculation method of tunnel envelope pressure is a key issue in the design of tunnel engineering support structure. Based on the limit equilibrium theory, this paper proposes a method to calculate the surrounding rock pressure in shallow buried loess tunnels. Firstly, based on the investigation of the damage mode of the loess tunnel surrounding rock and the field measurement results of the surrounding rock pressure, the damage mode of the loess tunnel is proposed, and then a method of calculating the surrounding rock pressure applicable to the shallow buried loess tunnel is derived according to the limit equilibrium condition of the tunnel square soil body and the side wedge; the basic mechanical parameters are known in this method, so only the rupture angle β needs to be determined, and the rupture angle calculation model in the shallow buried loess tunnel is proposed Three assumptions are made in the rupture angle calculation model, and the rupture angle calculation formula is derived according to the stress state on the slip surface of the surrounding rock; the pressure of the surrounding rock in the loess tunnel obtained by this method is compared with four methods, namely, the pressure theory of the surrounding rock in the existing loose body of Taishaki, the pressure formula of the deeply buried surrounding rock in the railroad tunnel design code, the Beer Baumann method, and the Xie Jiayi method, in order to verify the correctness and validity of the calculation method used, and to analyze the influence of different parameters on the surrounding rock pressure. The innovation of this paper lies in the derivation of a method for calculating the pressure in the surrounding rock of a shallow buried loess tunnel using the limit equilibrium theory, and also further proposes a formula for calculating the rupture angle. The pressure of surrounding rock decreases with the increase of static earth pressure coefficient, lateral pressure coefficient, friction angle and cohesion in soil, but the static earth pressure coefficient has a greater influence on the surrounding rock pressure. With the increase of sagittal span ratio, tunnel burial depth and soil weight, the surrounding rock pressure peaked with the increase of tunnel burial depth, and the surrounding rock pressure curve increased first and then decreased.
隧道围护结构计算方法的研究是隧道工程支护结构设计中的一个关键问题。基于极限平衡理论,提出了一种计算浅埋黄土隧道围岩压力的方法。首先,在对黄土隧道围岩损伤模式研究和围岩压力现场测量结果的基础上,提出了黄土隧道的损伤模式,然后根据隧道方土体和侧楔的极限平衡条件,推导出适用于浅埋黄土隧道的围岩压力计算方法;该方法基本力学参数已知,只需确定破裂角β,提出了浅埋黄土隧道的破裂角计算模型。在破裂角计算模式中进行了三个假设,根据围岩滑面上的应力状态推导出了破裂角计算公式;将该方法获得的黄土隧道围岩压力与Taishaki既有松散体围岩压力理论、铁路隧道设计规范中深埋围岩压力公式、Beer-Baumann方法和谢家义方法四种方法进行了比较,以验证所用计算方法的正确性和有效性,并分析不同参数对围岩压力的影响。本文的创新之处在于,利用极限平衡理论推导了浅埋黄土隧道围岩压力的计算方法,并进一步提出了破裂角的计算公式。围岩压力随土体静土压力系数、侧压力系数、摩擦角和粘聚力的增加而减小,但静土压力对围岩压力的影响较大。随着矢跨比、隧道埋深和土体重量的增加,围岩压力随着隧道埋深的增加而达到峰值,围岩压力曲线先增大后减小。
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引用次数: 0
Force Characteristics and Mechanical Topology Optimization of Hydraulic Machine Structures: Statics and Dynamics 液压机械结构的力特性与机械拓扑优化:静力学与动力学
IF 1.2 Q3 MECHANICS Pub Date : 2023-06-30 DOI: 10.13052/ejcm2642-2085.3214
Teng Xiaolei
In this paper, the design requirements of the hydraulic testing machine are based on the actual force conditions. Static and dynamic performance analyses of the stressed components of the hydraulic machine are carried out and the mechanical topology is optimized. Combining the static and dynamic objective functions of the structure, a fast variable density topology method is proposed, thus improving the optimization efficiency. After setting the positions of the optimized and non-optimized regions. It can be found that the optimized mechanical performance is more superior as the number of iterations increases. The results show that the stress in the strut is 175.75 MPa and the maximum stress in the upper beam structure is 43.708 MPa. The first sixth order frequency is much higher than the operating frequency of 3 Hz. The final results of the mechanical topology optimization analysis show. The optimized structure of the upper, middle and lower crossbeams resulted in a mass reduction of 38%, 36% and 5.57%. The maximum stresses in the upper and middle crossbeams were reduced by 10.33%, 8.3% and 51.8%, respectively. The deformation was reduced by 6.14% at the fastest time; the inherent frequency of the first 3 orders was increased to achieve light weight. The overall mechanical properties became better after optimization, and the dynamic and static stability of the frame was improved.Translated with www.DeepL.com/Translator (free version)
在本文中,液压试验机的设计要求是基于实际受力情况。对液压机受力部件进行了静、动态性能分析,并对其机械拓扑结构进行了优化。结合结构的静态和动态目标函数,提出了一种快速变密度拓扑方法,提高了优化效率。设置优化区域和非优化区域的位置后。可以发现,随着迭代次数的增加,优化后的力学性能更加优越。结果表明:支杆处的应力为175.75 MPa,上部梁结构处的最大应力为43.708 MPa;第一个六阶频率远高于3hz的工作频率。最后的力学拓扑优化分析结果显示。优化后的上、中、下横梁的质量分别减少38%、36%和5.57%。上、中横梁的最大应力分别降低了10.33%、8.3%和51.8%。在最快的时间内,变形减少了6.14%;增加了前3阶的固有频率以实现轻量化。优化后的车架整体力学性能得到改善,动、静稳定性得到提高。由www.DeepL.com/Translator翻译(免费版)
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引用次数: 0
Application of GA-BP in Displacement Force Inverse Analysis and Mechanical Parameter Inversion of Deep Foundation Pits GA-BP在深基坑位移力反演及力学参数反演中的应用
IF 1.2 Q3 MECHANICS Pub Date : 2023-06-30 DOI: 10.13052/ejcm2642-2085.3213
Guo Yunhong, Zhang Shihao
Aiming at the defects of various existing displacement inverse analysis methods, using the nonlinear mapping ability of neural network and the global random search ability of genetic algorithm, this paper proposes a displacement inverse analysis method based on optimized Genetic Algorithm- Back Propagation (GA-BP) for deep foundation pit support. The method changes the method that BP algorithm relies on the guidance of gradient information to adjust the network weights, but uses the characteristics of global search of genetic algorithm to find the most suitable network connection rights and network structure, etc. to achieve the purpose of optimization. Firstly, the deformation mechanism of deep foundation pit is analyzed, its failure mode is summarized, and the calculation method of lateral rock and soil pressure is sorted out according to the code. The theory and characteristics of BP neural network and genetic algorithm are discussed, and the method of using genetic algorithm to optimize BP neural network is proposed to improve the prediction accuracy. In view of the shortcomings of GA-BP neural network prediction model in training sample pretreatment and hidden layer structure design, the optimal normalization interval was determined by correlation coefficient regression analysis, and the analytical expression of the number of neurons in hidden layer was derived by statistical principle, and the value range of the optimal number of neurons in single hidden layer was proposed. Combined with the actual engineering, the mechanical parameters inversion and displacement force inverse analysis are performed using this method, and the results show that the optimized GA-BP has higher prediction accuracy compared with BP neural network and GA-BP, and the deviation of the displacement prediction value at each depth is kept within 0.2 mm, the absolute error interval width is 0.07 mm, and the maximum relative error is 1.35% at 4.0 m depth.
针对现有各种位移逆分析方法的缺陷,利用神经网络的非线性映射能力和遗传算法的全局随机搜索能力,提出了一种基于优化遗传算法-反向传播(GA-BP)的深基坑支护位移逆分析方法。该方法改变了BP算法依赖梯度信息引导调整网络权值的方法,而是利用遗传算法全局搜索的特点,寻找最合适的网络连接权和网络结构等,达到优化的目的。首先,分析了深基坑的变形机理,总结了深基坑的破坏模式,并根据规范整理了深基坑侧向岩土压力的计算方法。讨论了BP神经网络和遗传算法的原理和特点,提出了利用遗传算法对BP神经网络进行优化以提高预测精度的方法。针对GA-BP神经网络预测模型在训练样本预处理和隐层结构设计方面的不足,通过相关系数回归分析确定最优归一化区间,利用统计原理推导出隐层神经元数的解析表达式,提出了单隐层最优神经元数的取值范围。结合工程实际,利用该方法进行了力学参数反演和位移力逆分析,结果表明:优化后的GA-BP与BP神经网络和GA-BP相比具有更高的预测精度,各深度位移预测值偏差控制在0.2 mm以内,绝对误差区间宽度为0.07 mm, 4.0 m深度最大相对误差为1.35%。
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引用次数: 1
Study of Rheological-Mechanical Properties and Vibration Mechanics Bandgap of Row Pile Foundation 排桩基础流变力学特性及振动力学带隙研究
IF 1.2 Q3 MECHANICS Pub Date : 2023-06-30 DOI: 10.13052/ejcm2642-2085.3212
Qiunan Chen, Zhixin Li, Xiaocheng Huang, Chen Zhang
To analyze the rheological and mechanical properties as well as the vibration-mechanical forbidden zone effect of row pile foundations, this paper employs time-dependent modulus to examine the rheological mechanics of soil. Drawing from viscoelastic theory, we derive the expression of deformation modulus in the frequency domain to analyze the frequency dependence of the shear modulus of rheological soils. We construct a continuous medium dynamics model of the pile-soil periodic structure, taking into account soil rheology, and derive the dispersion equation of shear waves in the periodic structure using the multiple scattering method. The band gap characteristics and parameters that influence the law of shear waves in rheological soil-row pile foundations are studied through the analysis of arithmetic cases. The results show that under the loading condition, the zero-frequency shear modulus of soil is larger than the initial modulus value, and the real part of the shear modulus decreases monotonically with the increase of frequency and finally converges to the initial modulus value; under the unloading condition, the zero-frequency shear modulus of soil is smaller than the initial modulus value, and the real part of the shear modulus increases monotonically with the increase of frequency and finally converges to the initial modulus value; the larger the relaxation time of soil, the faster the convergence rate; the imaginary part of the shear modulus of soil The imaginary part of the soil shear modulus is positive under loading condition and negative under unloading condition, the value of the imaginary part increases and then decreases with increasing frequency and finally converges to 0. The imaginary part reaches the peak at the critical frequency, the larger the relaxation time the smaller the critical frequency, and the peak of the imaginary part is independent of the relaxation time. This study analyzed the dispersion curve of shear waves in a pile-soil periodic structure and found that increasing low-frequency shear wave velocity in rheological soil pile foundation shifts the band gap position to a higher frequency band, resulting in a smaller band gap width than in linear elastic soil. The relaxation time of soil affects the frequency position and width of the band gap, with larger relaxation times resulting in higher frequency positions and smaller widths. Additionally, soil rheology widens the forbidden vibration band gap of the pile periodic structure when the filling rate of the pile foundation is larger.
为了分析排桩基础的流变力学特性和振动力学禁区效应,本文采用时变模量法研究土的流变力学。从粘弹性理论出发,导出了变形模量的频域表达式,分析了流变土剪切模量的频率依赖性。建立了考虑土体流变的桩-土周期结构的连续介质动力学模型,利用多次散射法推导了周期结构中剪切波的频散方程。通过算例分析,研究了流变桩基的带隙特性及其参数对剪切波规律的影响。结果表明:在荷载作用下,土的零频剪切模量大于初始模量,且随频率的增加,土的实部剪切模量单调减小,最终收敛于初始模量;卸载条件下,土的零频剪切模量小于初始模量值,且随频率的增加,土的实部剪切模量单调增大,最终收敛于初始模量值;土体松弛时间越大,收敛速度越快;土体剪切模量的虚部在加载条件下为正,在卸载条件下为负,随着频率的增加,虚部的值先增大后减小,最后收敛于0。虚部在临界频率处达到峰值,松弛时间越大,临界频率越小,且虚部峰值与松弛时间无关。本文分析了桩-土周期结构中剪切波的频散曲线,发现流变土桩基础中,随着低频剪切波速的增加,带隙位置向更高频段移动,导致带隙宽度小于线弹性土。土的松弛时间影响带隙的频率位置和宽度,松弛时间越大,带隙的频率位置越高,带隙的宽度越小。此外,当桩基填充率较大时,土体流变使桩周期结构禁振带隙变宽。
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引用次数: 0
Structural Dynamics of Bridges Under the Coupling Effect of Windmills and Bridges 风车与桥梁耦合作用下的桥梁结构动力学
IF 1.2 Q3 MECHANICS Pub Date : 2023-05-03 DOI: 10.13052/ejcm2642-2085.31563
Guoqing Huang, Na Ren, Hengbin Zheng
To analyze the coupled dynamics effects of existing railroad frame bridge structures under the action of traffic, a coupled train-ballast track-suspension bridge girder-soil dynamics model is established based on railroad large system dynamics and finite element theory. The joint ABAQUS-MATLAB simulation, time-varying coupling, and multi-step dynamic iterative solution strategies are introduced to numerically simulate the mechanical properties of existing railroad structures under the coupled effects of wind loads and traffic action. Specifically, (1) a dichotomous method is proposed to investigate the static behavior of the bridge in the bridge-forming state, and the maximum upper arch of the stiffened girder is 3.67 cm, which occurs at about 1/4 and 3/4 positions of the main span, and the lower deflection of the side span is larger, and the maximum lower deflection occurs at 11.04 cm in the span of the 110 m side span. The vertical acceleration in the span increases immediately with the maximum peak of 30 cm/s2, while the lateral acceleration is maintained within 20 cm/s22. (2) The effects of the stiffness of the rail fasteners and the bridge plate support stiffness on the dynamics were studied. (3) The results of the time-domain analysis are in general agreement with the simulation data, except for the error of the ambient vibration background existing at the peak. The correctness of the simulation model is verified.
为分析既有铁路框架桥梁结构在交通作用下的耦合动力效应,基于铁路大系统动力学和有限元理论,建立了列车-道砟轨道-悬索桥梁-土耦合动力模型。采用ABAQUS-MATLAB联合仿真、时变耦合和多步动态迭代求解策略,对既有铁路结构在风荷载和交通耦合作用下的力学性能进行了数值模拟。具体而言,(1)采用二分类方法研究了桥梁在成桥状态下的静力性能,加劲梁的最大上拱为3.67 cm,发生在主跨的1/4和3/4位置左右,侧跨的下挠度较大,110 m侧跨的最大下挠度发生在11.04 cm。跨内竖向加速度立即增大,最大峰值为30 cm/s2,横向加速度保持在20 cm/s2以内。(2)研究了钢轨扣件刚度和桥板支撑刚度对动力学的影响。(3)时域分析结果除峰值处存在环境振动背景误差外,与仿真数据基本一致。验证了仿真模型的正确性。
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引用次数: 1
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European Journal of Computational Mechanics
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