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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 Engineering 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 Engineering 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 Engineering 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 Engineering 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 Engineering 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 Engineering 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
Construction and Calculation Analysis of Mechanical Model of Crushed Rock Pile Treatment of Foundation Earthquake 碎石桩处理地基地震力学模型的建立与计算分析
IF 1.2 Q3 Engineering Pub Date : 2023-05-03 DOI: 10.13052/ejcm2642-2085.31564
Yin Zhenyu
In recent years, earthquakes have occurred frequently at home and abroad, causing huge losses to the local society. Therefore, it is important to study the mechanical response of foundations under earthquakes. In this paper, firstly, gravel piles are selected as soft ground improvement materials, and A single bulk material pile section and a peripile soil section within the influence of a single pile are considered as a study unit, and the pore water discharge from the consolidation process is equal to the volume reduction of the unit, considering the consolidation deformation of the pile body, the composite foundation consolidation equation is derived, and the consolidation equation is solved by the separation variable method through the isostrain assumption and initial boundary conditions, and the average superporous water pressure of the soil between the body and the pile is obtained. Then, a more realistic non-uniform ground motion input method is adopted, and the seismic fluctuations are converted into equivalent loads on artificial boundary nodes through the Matlab program, and the equivalent loads are applied to the established viscoelastic artificial boundary by OpenSees software to realize ground motion input. Finally, a mechanical analysis model is established by hypothesis, and with the help of mode orthogonal theory and Hilbert yellow transform, the calculation method of ground seismic mechanical response based on non-uniform ground motion input is obtained. The results show that the effect of gravel pile encryption can reduce the accumulation rate and peak of super-static pore pressure during vibration, and the surface settlement of the site is reduced by 40–50% and the surface lateral shift is reduced by 30–50% after encryption; the drainage effect has a significant effect on reducing the accumulation rate of super-static pore pressure and the post-earthquake dissipation time of the soil during vibration, and the surface settlement is reduced by about 10–20% and the lateral shift is reduced by about 30–40% after increasing the drainage effect.
近年来,国内外地震频发,给当地社会造成了巨大损失。因此,研究地基在地震作用下的力学响应具有重要意义。本文首先选取碎石桩作为软土地基处理材料,以单桩影响下的单块料桩段和桩周土段为研究单元,考虑桩身固结变形,固结过程中的孔隙水流量等于单元的体积折减量,推导了复合地基固结方程,并通过等压线假设和初始边界条件,采用分离变量法求解固结方程,得到了桩身间土体的平均超孔隙水压力。然后,采用了一种更真实的非均匀地震动输入方法,通过Matlab程序将地震波动转换为人工边界节点上的等效载荷,并通过OpenSees软件将等效载荷应用于建立的粘弹性人工边界,实现地震动输入。最后,根据假设建立了力学分析模型,并借助模态正交理论和希尔伯特-黄变换,得到了基于非均匀地震动输入的地震动力学响应计算方法。结果表明,碎石桩加密可降低振动过程中超静孔隙压力的积累率和峰值,加密后场地表面沉降减少40~50%,表面横向位移减少30~50%;排水效应显著降低了振动过程中超静孔隙压力的积累率和土的震后消散时间,增加排水效应后,地表沉降减少了约10-20%,横向位移减少了约30-40%。
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引用次数: 0
Viscous Dissipation Effect on Magnetohydrodynamics Fluid Flow Over an Exponential Surface with the Influence of Thermal Radiation and Thermal Diffusion 热辐射和热扩散对指数表面磁流体流动的粘性耗散效应
IF 1.2 Q3 Engineering Pub Date : 2023-05-03 DOI: 10.13052/ejcm2642-2085.31562
B. J. Akinbo, B. Olajuwon
This present investigation studies the effect of viscous dissipation in magnetohydrodynamics fluid flow over an exponential surface subject to the influence of thermal radiation and thermal diffusion. The coupled nonlinear guiding equations responsible for the flow, heat and mass transports presented as partial differential equations are revamped to the associated ordinary differential equation by application of the associated similarity variables and solved by Galerkin Weighted residual method (GWRM). The results of various parameters encountered are analyzed with graphs while the Sherwood number, Nussetl number, and local skin friction are computed and discussed. The study demonstrates, among other things, that the fluid has a strong thermal conductivity at low Prandtl numbers and that heat diffuses from the surface more quickly at low Prandtl numbers in comparison with the higher values.
本文研究了受热辐射和热扩散影响的磁流体动力学流体在指数表面上流动时粘性耗散的影响。利用关联相似变量,将流、热、质耦合非线性导向方程转化为关联常微分方程,并采用伽辽金加权残差法求解。用图形分析了所遇到的各种参数的结果,并计算和讨论了Sherwood数、Nussetl数和局部表面摩擦力。该研究表明,除其他外,流体在低普朗特数时具有很强的导热性,并且与高普朗特数相比,低普朗特数时热量从表面扩散得更快。
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引用次数: 0
Insight Into Feasibility of Structure-Dependent Methods for Dynamic Analysis 结构相关动力分析方法的可行性探讨
IF 1.2 Q3 Engineering Pub Date : 2023-05-03 DOI: 10.13052/ejcm2642-2085.31561
SHUENN-YIH CHANG*
The first family of structure-dependent integration methods have been successfully developed for nonlinear dynamic analysis. Although its numerical properties were evaluated and its performance was numerically corroborated for both linear and nonlinear systems, its feasibility is still under debate due to the lack of a theoretical background. It seems that an eigen-based theory can provide a fundamental basis for the proof of the feasibility of structure-dependent integration methods. This can be manifested from each major stage of the development of structure-dependent integration methods. Therefore, the development of the first family of structure-dependent integration methods will be presented and the correlation between each major stage and an eigen-based theory will be explored and explained. Besides, this developing sequence can lay a typical procedure for developing a general structure-dependent integration method.
第一类结构相关积分方法已被成功地开发用于非线性动力分析。尽管对其数值特性进行了评估,并在线性和非线性系统中对其性能进行了数值验证,但由于缺乏理论背景,其可行性仍存在争议。基于特征的理论似乎可以为证明结构相关积分方法的可行性提供基本依据。这可以从依赖结构的集成方法发展的每个主要阶段体现出来。因此,将介绍第一类结构相关积分方法的发展,并探索和解释每个主要阶段与基于特征的理论之间的相关性。此外,该开发序列可以为开发一般的结构相关积分方法奠定一个典型的过程。
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引用次数: 0
Free Vibration Analysis of Functionally Graded Carbon Nanotube-Reinforced Higher Order Refined Composite Beams Using Differential Quadrature Finite Element Method 用微分正交有限元法分析功能梯度碳纳米管增强高阶精细复合梁的自由振动
IF 1.2 Q3 Engineering Pub Date : 2023-02-06 DOI: 10.13052/ejcm2642-2085.3143
Ihab Eddine Houalef, Ismail Bensaid, Ahmed Saimi, A. Cheikh
Present paper deals on the free vibration investigation of carbon nanotube-reinforced composite (CNTs) beams, based on refined third order shear deformation finite element beam theory. The particularity of this model is that, it can capture shear deformation effect without using of any shear correction factor by satisfying shear stress free at free edges. The carbon nanotubes are supposed to be immersed in a polymeric matrix with functionally graded pattern across the thickness direction of the beam, and their material properties are evaluated using the rule of mixture. The differential equations of motion and related boundary conditions are extracted using Lagrange’s principle and solved employing a robust numerical tool called, Differential Quadrature Finite Element Method (DQFEM) for the first time, with high convergence speed, fast calculus performance as well as a good numerical stability. The obtained results have been validated with those available in literature, in order to show the correctness of the present model. Afterwards, a deep parametric study is performed to examine the effects of various geometrical and material parameters on the vibration behavior of FG-CNTs beams.
本文基于精细化三阶剪切变形有限元梁理论,对碳纳米管增强复合材料梁的自由振动进行了研究。该模型的特殊之处在于,通过满足自由边缘处的无剪应力,无需任何剪切修正因子即可捕捉剪切变形效果。将碳纳米管浸入具有沿光束厚度方向梯度的聚合物基体中,并利用混合规律评价其材料性能。利用拉格朗日原理提取运动微分方程及相关边界条件,并首次采用一种鲁棒的数值工具微分正交有限元法(DQFEM)进行求解,具有收敛速度快、演算速度快、数值稳定性好等优点。所得结果与文献中已有的结果进行了验证,以表明模型的正确性。随后,进行了深入的参数研究,以检查各种几何和材料参数对FG-CNTs梁的振动行为的影响。
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引用次数: 2
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European Journal of Computational Mechanics
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