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A direct differentiation method based on forward recursive formulation for flexible multibody system sensitivity analysis 基于前向递归公式的直接微分法,用于柔性多体系统敏感性分析
IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-06 DOI: 10.1016/j.compstruc.2024.107465
Boyang Wang , Zhuyong Liu , Jiabei Shi

Sensitivity analysis plays a significant role in the dynamic optimization of flexible multibody systems. The forward recursive formulation (FRF) is widely used for the dynamic modeling of multibody systems. However, it has not yet been extended to sensitivity analysis. In this paper, a new direct differentiation method is developed based on FRF for flexible multibody systems sensitivity analysis. The recursive nature of FRF allows for the Jacobian derivatives to be derived recursively, with detailed matrix expressions provided to facilitate implementation in computer code. The validity and correctness of the presented direct sensitivity analysis method based on FRF are verified by numerical examples. Besides, a modified staggered direct scheme is presented to improve the efficiency of the sensitivity analysis. In this scheme, different update strategies are adopted by different components of the tangent stiffness matrix for the implicit integrator, which balances the iteration performance and the additional computational cost. The presented scheme is compared with two conventional schemes through three examples. It demonstrates that the presented scheme can significantly improve the computational efficiency of the sensitivity analysis, particularly for complex problems, when the appropriate update strategies are employed.

灵敏度分析在柔性多体系统的动态优化中发挥着重要作用。前向递推公式(FRF)被广泛用于多体系统的动态建模。然而,它尚未扩展到灵敏度分析。本文在 FRF 的基础上开发了一种新的直接微分方法,用于柔性多体系统灵敏度分析。FRF 的递归性质允许对雅各布导数进行递归推导,并提供了详细的矩阵表达式以方便计算机代码的执行。所介绍的基于 FRF 的直接灵敏度分析方法的有效性和正确性通过数值示例得到了验证。此外,还提出了一种改进的交错直接方案,以提高灵敏度分析的效率。在该方案中,隐式积分器的切线刚度矩阵的不同组成部分采用了不同的更新策略,从而平衡了迭代性能和额外的计算成本。我们通过三个实例将所提出的方案与两种传统方案进行了比较。结果表明,如果采用适当的更新策略,所提出的方案可以显著提高灵敏度分析的计算效率,特别是对于复杂问题。
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引用次数: 0
A wavelet-based denoising method for pipeline dent assessments 基于小波的管道凹痕评估去噪方法
IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-05 DOI: 10.1016/j.compstruc.2024.107497
Junxiong Lin, Wenxing Zhou

Strain-based assessments of dents in buried steel oil and gas pipelines are commonly carried out in practice. Dent signals obtained from the caliper inspection tool contain noises that can have a large impact on the accuracy of the estimated strain. This paper proposes a novel wavelet-based denoising method for dent signals based on the overcomplete expansion with the corresponding dictionary constructed using the stationary and hyperbolic wavelet transforms. The proposed method is validated based on noise-free and noisy dent signals generated from elasto-plastic finite element analyses of a pipe segment subjected to an indenter and shown to be more effective than the commonly used wavelet transform-based hard- and soft-thresholding methods in terms of the root mean square error and the accuracy of the effective dent strain estimated from the denoised signal. The proposed method is further employed to denoise 42 real dent signals from in-service pipelines to illustrate its effectiveness and potential practical application to facilitate strain-based dent assessments.

在实践中,通常会对埋地钢制油气管道中的凹痕进行基于应变的评估。从卡尺检测工具中获得的凹痕信号含有噪声,会对应变估算的准确性产生很大影响。本文针对凹痕信号提出了一种基于小波的新型去噪方法,该方法以过完全展开为基础,并使用静态和双曲小波变换构建了相应的字典。所提出的方法基于对受压头作用的管段进行弹塑性有限元分析时产生的无噪声和噪声凹痕信号进行了验证,结果表明,就均方根误差和从去噪信号估算有效凹痕应变的准确性而言,该方法比常用的基于小波变换的硬阈值和软阈值方法更有效。该方法进一步用于对 42 个在役管道的真实凹痕信号进行去噪,以说明其在促进基于应变的凹痕评估方面的有效性和潜在的实际应用。
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引用次数: 0
A numerical framework for modeling 3D electrostrictive dielectric elastomer actuators 三维电致伸缩介电弹性体致动器建模的数值框架
IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-03 DOI: 10.1016/j.compstruc.2024.107495
Alireza Nejati, Hossein Mohammadi

In this paper, we have developed a numerical framework to investigate the effects of the electrostriction phenomenon on the deformations of three-dimensional dielectric elastomer actuators with complex geometries and inhomogeneous displacement fields at finite strains. The finite element method has been used to solve the governing equations. In this investigation, we adopt one of the most complete constitutive equations with regard to the electrostrictive behavior of dielectric elastomers which is capable of analyzing general three-dimensional states of deformation. The terms emerging in the tangent stiffness matrix as a result of the electrostrictive model are fully derived in this study. The implementation of the finite element modeling is conducted via an in-house computer code. Three three-dimensional actuators, namely a bending actuator, a buckling actuator, and a torsional actuator are selected to demonstrate the capabilities of the numerical framework. In conclusion, we have proved that the electrostriction phenomenon is effective in terms of improving the performance of dielectric elastomer actuators and in lowering their operating voltage. Moreover, the relationship of the diagonal entries of the permittivity tensor and the left Cauchy-Green tensor have been depicted on the deformed bodies of the actuators.

在本文中,我们开发了一个数值框架,用于研究电致伸缩现象对具有复杂几何形状和不均匀位移场的三维介电弹性体致动器在有限应变下的变形影响。有限元法用于求解支配方程。在这项研究中,我们采用了介电弹性体电致伸缩行为方面最完整的构成方程之一,该方程能够分析一般的三维变形状态。本研究全面推导了电致伸缩模型在切线刚度矩阵中出现的项。有限元建模是通过内部计算机代码实现的。我们选择了三个三维致动器,即弯曲致动器、屈曲致动器和扭转致动器,以展示数值框架的能力。总之,我们证明了电致伸缩现象能有效改善介电弹性体致动器的性能并降低其工作电压。此外,我们还在致动器的变形体上描绘了介电常数张量和左考奇-格林张量对角线项的关系。
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引用次数: 0
Computational framework for a family of methods based on stress-constrained topology optimization 基于应力约束拓扑优化的一系列方法的计算框架
IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-02 DOI: 10.1016/j.compstruc.2024.107493
Piotr Tauzowski , Bartlomiej Blachowski , János Lógó

This study presents a general computational framework for topology optimization under constraints related to various engineering design problems, including: reliability analysis, low-cycle fatigue assessment, and stress limited analysis. Such a framework aims to facilitate comprehensive engineering design considerations by incorporating traditional constraints such as displacement and stress alongside probabilistic assessments of fatigue failure and the complex behaviors exhibited by structures made of elastoplastic material. The framework's amalgamation of diverse analytical components offers engineers a versatile toolkit to address intricate design challenges. Notably, the inclusion of reliability analysis introduces a probabilistic perspective, transforming conventional design constraints into random parameters, thereby enhancing the robustness of the design process.

Key to the framework's efficacy is its implementation using MATLAB mathematical computing software, leveraging the platform's efficient code execution and object-oriented programming paradigm. This choice ensures an intuitive and potent environment for designers and researchers, facilitating seamless adaptation across various engineering applications. Additionally, the proposed previously by the Authors algorithm for the topology optimization is extended by adaptive strategy allowing for efficient adjustment of an amount of material removed at individual optimization step.

The presented framework is offering a comprehensive and integrated approach to address multifaceted design challenges while enhancing design robustness and efficiency.

本研究提出了一个通用计算框架,用于在与各种工程设计问题相关的约束条件下进行拓扑优化,这些问题包括:可靠性分析、低周期疲劳评估和应力限制分析。这种框架旨在通过将位移和应力等传统约束条件与疲劳失效概率评估以及弹性材料结构所表现出的复杂行为结合起来,促进全面的工程设计考虑。该框架融合了各种分析组件,为工程师提供了一个多功能工具包,以应对复杂的设计挑战。值得注意的是,可靠性分析的加入引入了概率视角,将传统的设计约束转化为随机参数,从而增强了设计过程的稳健性。
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引用次数: 0
A hybridization of growth optimizer and improved arithmetic optimization algorithm and its application to discrete structural optimization 增长优化器与改进算术优化算法的混合及其在离散结构优化中的应用
IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-01 DOI: 10.1016/j.compstruc.2024.107496
Ali Kaveh, Kiarash Biabani Hamedani

This paper proposes an improved hybrid growth optimizer (IHGO) to solve discrete structural optimization problems. The growth optimizer (GO) is a recent metaheuristic that has been successfully used to solve numerical and real-world optimization problems. However, it has been found that GO faces challenges with parameter tuning and operator refinement. We also noticed that the formulation of GO has some drawbacks, which may cause degradation in optimization performance. Compared to the original GO, four improvements are introduced in IHGO. First, the learning phase of GO is improved to avoid useless search and reinforce exploration. To do this, the exploration phase of an improved metaheuristic called IAOA is incorporated into the learning phase of GO. Second, the replacement strategy of GO is modified to prevent the loss of the best-so-far solution. Third, the hierarchical structure of GO is modified. Fourth, some adjustments are made to the reflection phase of GO to promote the exploitation of promising regions. To demonstrate the performance of the proposed IHGO, four discrete optimization problems of skeletal structures are provided. The results are compared with those of the original GO and some other metaheuristics in the literature. The source codes of IHGO are available at https://github.com/K-BiabaniHamedani/Improved-Hybrid-Growth-Optimizer.

本文提出了一种改进的混合增长优化器(IHGO)来解决离散结构优化问题。增长优化器(GO)是一种最新的元启发式,已成功用于解决数值和现实世界中的优化问题。然而,人们发现,GO 在参数调整和算子细化方面面临挑战。我们还注意到,GO 的表述存在一些缺陷,可能会导致优化性能下降。与最初的 GO 相比,IHGO 引入了四项改进。首先,改进了 GO 的学习阶段,以避免无用搜索并加强探索。为此,一种名为 IAOA 的改进型元启发式的探索阶段被纳入 GO 的学习阶段。其次,修改了 GO 的替换策略,以防止丢失迄今为止的最佳解决方案。第三,修改了 GO 的层次结构。第四,对 GO 的反射阶段进行了一些调整,以促进对有希望区域的开发。为了证明所提出的 IHGO 的性能,提供了四个骨骼结构的离散优化问题。将结果与原始 GO 和文献中的其他一些元启发式算法进行了比较。IHGO 的源代码可在 .
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引用次数: 0
Fluid-structure coupling analysis in liquid-filled containers using scaled boundary finite element method 用比例边界有限元法分析充液容器中的流固耦合
IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-31 DOI: 10.1016/j.compstruc.2024.107494
Wenbin Ye , Jun Liu , Lei Gan , Haibo Wang , Lei Qin , Quansheng Zang , Stéphane P.A. Bordas

In this study, a semi-analytical model is developed to investigate the fluid-structure coupling characteristics of liquid sloshing in an elastic rectangular container subjected to horizontal external excitation based on the scaled boundary finite element method (SBFEM) for the first time. The fluid inside the container is assumed to be incompressible, inviscid and irrotational, with the hydrodynamic pressure chosen as independent nodal variable in the governing equations. The container walls are considered as cantilever beams. The coupled fluid-structure system is initially divided into the structural domain and fluid domain, after which the SBFEM is employed to obtain the governing equations for each sub-domain. In the framework of the SBFEM, only the boundary of each sub-domain, rather than the entire computational domain, needs to be meshed and discretized. This method reduces the spatial dimension of the problem by one and offers an efficient approach to model the computational domain, while allowing for analytical formulations to be derived for the internal of the domain, resulting in an accurate description of the field variables. The fundamental equation of the entire coupled fluid-structure system is then assembled by performing the equilibrium condition and compatibility condition to ensure the balance of interaction forces at the interface between container walls and the liquid. The free vibrations analysis of the fluid-structure coupling system is solved by utilizing the generalized eigenvalue problem, and the transient dynamic response is determined using the synchronous solution algorithm in conjunction with the implicit-implicit scheme of the Newmark method. To validate the excellent accuracy and stability of the proposed formulation, several numerical examples are presented to investigate the free vibration and transient dynamic characteristics for the fluid-structure coupling problem. The obtained results show good agreement with reference solutions available in the literature. Additionally, the effects of geometrical and material parameters on the system responses are examined and discussed.

本研究首次基于比例边界有限元法(SBFEM)建立了一个半解析模型,用于研究液体在受到水平外部激励的弹性矩形容器中发生荡动时的流固耦合特性。假设容器内的液体是不可压缩、不粘性和非旋转的,流体动力压力被选为控制方程中的独立节点变量。容器壁被视为悬臂梁。流固耦合系统最初分为结构域和流体域,然后使用 SBFEM 求出每个子域的控制方程。在 SBFEM 框架下,只需要对每个子域的边界而不是整个计算域进行网格划分和离散化。这种方法将问题的空间维度减少了一个,为计算域建模提供了一种高效的方法,同时还能为域内部导出分析公式,从而准确描述场变量。然后,通过执行平衡条件和兼容性条件,组装出整个流固耦合系统的基本方程,以确保容器壁和液体界面上相互作用力的平衡。利用广义特征值问题求解流固耦合系统的自由振动分析,并结合纽马克方法的隐含-隐含方案,使用同步求解算法确定瞬态动态响应。为了验证所提公式的卓越精确性和稳定性,我们给出了几个数值示例来研究流固耦合问题的自由振动和瞬态动态特性。所获得的结果与文献中的参考解具有良好的一致性。此外,还研究并讨论了几何参数和材料参数对系统响应的影响。
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引用次数: 0
A global-discretized semi-analytical formulation in polar coordinate system for the wave characteristics in multi-layer cylindrical waveguides 多层圆柱形波导中波特性的极坐标系全局离散化半解析公式
IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-30 DOI: 10.1016/j.compstruc.2024.107487
Jun Cao , Songhan Zhang , Miao Zhang , Chenguang Fan

Ultrasonic guided waves are widely applied in health monitoring of slender structures. Being different from the well-known semi-analytical finite element method (SAFE), the global-discretized semi-analytical formulation (GDSA) exactly satisfies all the continuity and boundary conditions accurately while has improved computational efficiency, but is only applicable to the plate-like problems described in the Cartesian coordinate system currently, which is not applicable to the cylindrical waveguide. In the present work, the polar coordinate system is therefore introduced into the GDSA formulation to improve the computational efficiency of calculating the dispersion relation in a multi-layer cylindrical waveguide without loss of accuracy. The characteristic equations of the unit layer are derived from the principle of virtual work. The involved matrices are explicitly derived in the form of Kronecker product to reduce the dimension of the matrices to be evaluated and a reduced Boolean matrix is introduced to avoid the singularity problem caused by the trivial radial displacement of the central point. The dispersion curves of a steel wire are firstly analyzed and are verified in comparison with the analytical solutions solved from the Pochhammer-Chree equations. Taking the steel wire having a surface corrosion as a two-layer case example, the dispersion curves are obtained based on the quadratic eigenvalue equation. It is found that the cut-off frequency of the F(1,2) mode is sensitive to corrosion, having potential to detect corrosion of hidden cable wires.

超声导波广泛应用于细长结构的健康监测。与著名的半解析有限元法(SAFE)不同,全局离散化半解析公式(GDSA)可以精确地满足所有连续性条件和边界条件,同时提高了计算效率,但目前只适用于笛卡尔坐标系下描述的板状问题,不适用于圆柱形波导。因此,在本研究中,极坐标系被引入到 GDSA 公式中,以在不损失精度的情况下提高计算多层圆柱波导中色散关系的计算效率。单元层的特征方程是根据虚功原理推导出来的。所涉及的矩阵以 Kronecker 积的形式明确推导,以减少待求值矩阵的维数,并引入了一个缩小的布尔矩阵,以避免中心点微不足道的径向位移引起的奇异性问题。首先分析了钢丝的频散曲线,并与根据波赫海默-克里方程求得的解析解进行了对比验证。以表面腐蚀的钢丝为两层为例,根据二次特征值方程求得频散曲线。结果发现,F(1,2) 模式的截止频率对腐蚀很敏感,具有探测隐藏电缆线腐蚀的潜力。
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引用次数: 0
Insights into finite element simulations of semi-buried box structures under combined blast and fragment loads 爆炸和碎片综合荷载下半埋式箱形结构有限元模拟的启示
IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-26 DOI: 10.1016/j.compstruc.2024.107486
Rashmi Singh, Tanusree Chakraborty

This paper presents insights into the finite element (FE) simulation of semi-buried box structures under combined blast and fragment loads. Semi-buried box structures are important military protective structures of national and strategic importance and must withstand extreme loading threats from weapon detonations. Herein, the dynamic response of a semi-buried box structure with a blast door subjected to cased explosive charge detonations is investigated using the finite element simulation technique considering both blast and fragment loading. A series of analyses are performed using FE simulation software LS DYNA to estimate the intricate effects of two simultaneous cased charge detonations on the semi-buried box structure by varying the cased loading and point of fragment impact. At first, a comparative study of the semi-buried box structure with and without the protective sand layer is performed under different cased loading. Thereafter, the response of the semi-buried box structure with the protective sand layer is studied under different cased loading along with different points of fragment impacts. Results indicate that the present simulation technique is proficient in estimating the response of the semi-buried box structure under cased loading.

本文介绍了在爆炸和碎片综合载荷作用下对半埋式箱形结构进行有限元(FE)模拟的深入研究。半埋式箱形结构是具有国家战略意义的重要军事防护结构,必须能够承受武器爆炸带来的极端载荷威胁。本文使用有限元模拟技术研究了带防爆门的半埋式箱形结构在箱式炸药爆炸下的动态响应,同时考虑了爆炸和碎片载荷。使用有限元模拟软件 LS DYNA 进行了一系列分析,通过改变装药载荷和碎片冲击点,估算了两种同时发生的装药起爆对半埋式箱形结构的复杂影响。首先,对有保护砂层和无保护砂层的半埋式箱形结构在不同套管荷载下的反应进行了比较研究。随后,研究了有保护砂层的半埋式箱形结构在不同套管荷载和不同碎片撞击点下的响应。结果表明,目前的模拟技术能够很好地估算半埋式箱形结构在套管荷载下的响应。
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引用次数: 0
Investigating the bending and buckling behaviors of composite porous beams reinforced with carbon nanotubes and graphene platelets using a TRPIM path following mesh-free approach 利用 TRPIM 路径跟踪无网格方法研究碳纳米管和石墨烯平板增强多孔复合梁的弯曲和屈曲行为
IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-23 DOI: 10.1016/j.compstruc.2024.107492
Yassir Sitli , Oussama Elmhaia , Said Mesmoudi , Omar Askour , Mohammed Rammane , Youssef Hilali , Oussama Bourihane

The aim of the present work consists in investigating the nonlinear behavior of porous beams reinforced with graphene platelets (GPL) and supported carbon nanotubes (CNT), termed functionally graded graphene platelets reinforced composite beam (FG-GPLRC) and functionally graded nanotube carbon reinforced composite beam (FG-CNTRC), respectively. Notably, the distribution of GPL/CNT is explored in both uniform and non-uniform patterns across the beam's thickness. What sets this research apart is its utilization of a refined beam model as enhanced FSDT incorporating nonlinear shear terms which is a crucial advancement in accurately capturing the post-buckling response in certain boundary conditions, a feature lacking in the existing FSDT literature. Innovatively, the post-buckling load-deflection relationship is derived through the solution of governing equations incorporating cubic nonlinearity. This is achieved by employing Galerkin's method alongside a non-iterative high-order continuation technique based on the asymptotic numerical method coupled with the Tchebychev-radial point interpolation method (TRPIM), using a path-following where the solutions are obtained branch-by-branch by eliminating the need for iterative processes. In essence, this research underscores the pivotal role of porosity and GPL/CNT reinforcement in shaping the post-buckling configuration of both perfect and imperfect nanocomposite beams, thereby advancing our understanding of structural behavior in porous nanocomposite materials. The findings of this study illuminate the significant influence of parameters such as porosity coefficient, porosity distribution, GPL/CNT distribution, and GPL-weight/CNT-volume fraction on the nonlinear buckling behavior of porous beams.

本研究的目的是研究用石墨烯平板(GPL)和支撑碳纳米管(CNT)加固的多孔梁的非线性行为,分别称为功能分级石墨烯平板加固复合梁(FG-GPLRC)和功能分级纳米管碳加固复合梁(FG-CNTRC)。值得注意的是,研究人员探讨了 GPL/CNT 在整个梁厚度上的均匀和非均匀分布。这项研究的与众不同之处在于,它采用了改进的梁模型作为增强型 FSDT,其中包含了非线性剪切项,这对于准确捕捉特定边界条件下的后屈曲响应是一个至关重要的进步,而这正是现有 FSDT 文献所缺乏的。通过对包含立方非线性的控制方程进行求解,创新性地得出了屈曲后载荷-挠度关系。这是通过采用 Galerkin 方法和基于渐近数值方法的非迭代高阶延续技术,再加上 Tchebychev-radial 点插值法 (TRPIM),利用路径跟踪,通过消除对迭代过程的需求,逐支求解来实现的。从本质上讲,这项研究强调了多孔性和 GPL/CNT 增强在塑造完美和不完美纳米复合梁的屈曲后构型中的关键作用,从而推进了我们对多孔纳米复合材料结构行为的理解。本研究的结果阐明了孔隙度系数、孔隙度分布、GPL/CNT 分布和 GPL 重量/CNT 体积分数等参数对多孔梁非线性屈曲行为的重要影响。
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引用次数: 0
A nonlinear interval finite element method for elastic–plastic problems with spatially uncertain parameters 针对空间参数不确定的弹塑性问题的非线性区间有限元方法
IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-23 DOI: 10.1016/j.compstruc.2024.107476
Pengge Wu , Bingyu Ni , Chao Jiang

This paper proposes a nonlinear interval finite element method for elastic–plastic analysis of structures with spatially uncertain parameters. The spatially uncertain parameters are described by the interval field, and the variation bounds of the elastic–plastic structural responses can be calculated effectively. Quantified by the interval field, the spatially uncertain parameters are represented by the interval Karhunen–Loève (K-L) expansion, based on which the nonlinear interval finite element equilibrium equation is formulated. An interval iterative method is then presented to solve the equilibrium equation and obtain an outer solution of the variation bounds of structural responses such as displacement. In this method, the Newton-Raphson iterative method is used to transform the nonlinear problem into a linear one, and then the interval iterative method is introduced to solve the interval linear equations. Three numerical examples are employed to illustrate the feasibility and accuracy of the proposed method.

本文提出了一种非线性区间有限元方法,用于空间不确定参数结构的弹塑性分析。空间不确定参数由区间场描述,可有效计算弹塑性结构响应的变化边界。通过区间场量化,空间不确定参数由区间卡尔胡宁-洛埃夫(K-L)展开表示,并在此基础上建立非线性区间有限元平衡方程。然后提出一种区间迭代法来求解平衡方程,并获得位移等结构响应变化边界的外解法。该方法采用牛顿-拉夫逊迭代法将非线性问题转化为线性问题,然后引入区间迭代法求解区间线性方程。通过三个数值实例说明了所提方法的可行性和准确性。
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