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GEOMETRIC OPTIMIZATION OF TRANSITION ZONES BASED ON BIOMIMETICS PRINCIPLES 基于仿生学原理的过渡区几何优化
IF 0.4 Q3 Engineering Pub Date : 2021-12-30 DOI: 10.24874/jsscm.2021.15.02.04
I. Atanasovska, D. Momčilović
The basic definitions and a history of the development of biomimetics as a discipline that considers nature-inspired design are presented in this paper. The discussion and the results of the application of principles of nature-inspired design in machine elements design are given. The fact that transition zones that Nature chose and designed on trees in many cases survived for more than a hundred years, resisting on the various and variable external loads and other external conditions, is considered. Presented case study used the nature-inspired transition shapes in the research of innovative design and geometric optimization of transition zones of high-loaded shafts. The comparative Finite Element Analysis is performed for a particular transition zone with traditional engineering design, as well as with nature-inspired design. The conclusions about the increase of load capacity that is obtained with innovative biomimetics design are discussed.
本文介绍了仿生学作为一门考虑自然启发设计的学科的基本定义和发展历史。讨论了自然设计原理在机械零件设计中的应用,并给出了结果。考虑到大自然在树木上选择和设计的过渡区在许多情况下存活了一百多年,抵抗了各种可变的外部负荷和其他外部条件。本案例采用自然过渡形状对高载荷轴过渡区的创新设计和几何优化进行了研究。采用传统工程设计和自然启发设计,对特定的过渡区进行了比较有限元分析。讨论了创新仿生设计所获得的提高承载能力的结论。
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引用次数: 2
FSI ANALYSIS WITH CONTINUOUS FLUID FLOW USING FEM AND SPH METHODS IN LS-DYNA 在ls-dyna中采用有限元法和SPH法分析连续流体流动的Fsi
IF 0.4 Q3 Engineering Pub Date : 2021-12-30 DOI: 10.24874/jsscm.2021.15.02.09
M. Topalovic, A. Nikolic, S. Vulovic, Vladimir Milovanović
The purpose of this research was to investigate the prospect of continuous flow modelling in LS-DYNA using SPH-FEM coupling. The both methods (SPH and FEM) are based on the continuum mechanics, however, SPH implementation uses Lagrangian material framework, while FEM uses an Eulerian formulation for the fluid analysis, and Lagrangian formulation for the solid analysis. The Lagrangian framework of the SPH means that we need to generate particles at one end, and to destroy them on the other, in order to generate a continuous fluid flow. The simplest way to do this is by using activation and deactivation planes, which is a solution implemented in the commercial LS- DYNA solver. Modelling of continuous fluid flow is practical in mechanical (naval) engineering for hydrofoil analysis and in bioengineering for blood vessel simulations. Results show that velocity fields obtained by SPH-FEM coupling are similar to velocity fields obtained by FEM. FEM only solution has a clear advantage in regards to execution time, however, SPH-FEM coupling offers greater insight into fluid structure interaction, that justifies the extra computational cost.
本研究的目的是探讨在LS-DYNA中使用SPH-FEM耦合进行连续流动建模的前景。两种方法(SPH和FEM)都基于连续介质力学,但SPH的实现采用拉格朗日材料框架,而FEM采用欧拉公式进行流体分析,拉格朗日公式进行固体分析。SPH的拉格朗日框架意味着我们需要在一端产生粒子,在另一端破坏它们,以产生连续的流体流动。最简单的方法是使用激活和停用平面,这是在商用LS- DYNA求解器中实现的解决方案。连续流体流动的建模在机械(船舶)工程中用于水翼分析和生物工程中用于血管模拟是很实用的。结果表明,SPH-FEM耦合得到的速度场与FEM得到的速度场基本一致。在执行时间方面,仅采用FEM解决方案具有明显的优势,然而,SPH-FEM耦合可以更深入地了解流体结构相互作用,这证明了额外的计算成本是合理的。
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引用次数: 0
EXACT AUGMENTED PERPETUAL MANIFOLDS: A COROLLARY FOR THEIR UNIQUENESS 精确增广永久流形:其唯一性的推论
IF 0.4 Q3 Engineering Pub Date : 2021-12-30 DOI: 10.24874/jsscm.2021.15.02.01
F. Georgiades
The perpetual points have been defined recently as characteristic points in a dynamical system. In many unexcited linear and nonlinear mechanical systems, the perpetual points are associated with rigid body motions and form the perpetual manifolds. The mechanical systems that admit rigid body motions as solutions are called perpetual. In the externally forced mechanical system, the definition of perpetual points to the exact augmented perpetual manifolds extended. The exact augmented perpetual manifolds are associated with the rigid body motion of mechanical systems but with externally excited. The definition of the exact augmented perpetual manifolds leads to a theorem that defines the conditions of an externally forced mechanical system to be moving as a rigid body. Therefore, it defines the conditions of excitation of only this specific type of similar modes, the rigid body modes. Herein, as a continuation of the theorem, a corollary is written and proved. It mainly states that the exact augmented perpetual manifolds for each mechanical system are not unique and are infinite. In an example of a mechanical system, the theory is applied by considering different excitation forces in two-time intervals. The numerical simulations with the analytical solutions are in excellent agreement, which is certifying the corollary. Further, due to the different solutions in the two-time intervals, there is a discontinuity in the vector field and the system's overall solution. Therefore, the state space formed by the exact augmented perpetual manifold is nonsmooth. This work is the first step in examining the exact augmented perpetual manifolds of mechanical systems. Further work is needed to understand them, which mathematical space they belong to, considering that nonsmooth functions might form them.
永恒点最近被定义为动力系统中的特征点。在许多未被引用的线性和非线性力学系统中,永动机点与刚体运动相联系,形成永动机流形。允许刚体运动作为解的机械系统被称为永动机。在外力力学系统中,永动机的定义扩展到精确增广永动机流形。精确增广永久流形与机械系统的刚体运动有关,但与外部激励有关。精确增广永久流形的定义导致了一个定理,该定理定义了外力机械系统作为刚体运动的条件。因此,它只定义了这种特定类型的类似模式的激励条件,即刚体模式。这里,作为定理的一个延续,给出并证明了一个推论。它主要指出,每个机械系统的精确增广永动机流形不是唯一的,而是无限的。在一个机械系统的例子中,该理论是通过考虑两个时间间隔内的不同激振力来应用的。数值模拟与解析解非常一致,这证明了这一推论。此外,由于两个时间间隔中的解不同,矢量场和系统的整体解存在不连续性。因此,由精确增广永久流形形成的状态空间是非光滑的。这项工作是检验机械系统的精确增广永久流形的第一步。考虑到非光滑函数可能形成它们,还需要进一步的工作来理解它们,它们属于哪个数学空间。
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引用次数: 2
CONCRETE DAMAGE PLASTICITY MATERIAL MODEL PARAMETERS IDENTIFICATION 混凝土损伤塑性材料模型参数辨识
IF 0.4 Q3 Engineering Pub Date : 2021-12-30 DOI: 10.24874/jsscm.2021.15.02.11
D. Rakić, Aleksandar Bodić, N. Milivojević, V. Dunić, M. Zivkovic
The procedure for identifying concrete damage plasticity material model parameters is presented in this paper. Concrete damage plasticity material model represents a constitutive model which is based on a combination of theory of plasticity and theory of damage mechanics. This material model is often used in solving geotechnical problems due to its realistic description of mechanical behavior of concrete material. Theoretical basis of concrete damage plasticity material model and material parameters identification procedure are presented in this paper. Proposed identification procedure is applied on experimental data from uniaxial compression and tension load-unload tests taken from literature. By applying experimental data, stress-strain curve is created. Based on stress-strain load-unload curve, stress-plastic strain and stress-degradation dependences are created which are necessary for material parameters identification. Using these dependences material parameters are determined. Verification of estimated parameters is performed in PAK software package using concrete damage plasticity material model. Finite element model is created for numerical simulations of uniaxial compression and tension tests. Numerical simulation results are compared with experimental data. By comparing numerical simulation results and experimental data it can be concluded that this procedure is effective for determining concrete damage plasticity model parameters.
本文介绍了混凝土损伤塑性材料模型参数的识别方法。混凝土损伤塑性材料模型是基于塑性理论和损伤力学理论相结合的本构模型。由于该模型能真实地描述混凝土材料的力学性能,因此常用于解决岩土工程问题。介绍了混凝土损伤塑性材料模型的理论基础和材料参数的识别方法。提出的识别程序应用于文献中单轴压缩和拉伸加载-卸载试验数据。应用实验数据,建立了应力-应变曲线。基于应力-应变加载-卸载曲线,建立了材料参数识别所需的应力-塑性应变关系和应力-退化关系。利用这些依赖关系确定材料参数。利用混凝土损伤塑性材料模型,在PAK软件包中对估计参数进行验证。建立了单轴压缩和拉伸试验数值模拟的有限元模型。数值模拟结果与实验数据进行了比较。数值模拟结果与试验数据的对比表明,该方法是确定混凝土损伤塑性模型参数的有效方法。
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引用次数: 4
ON DIFFUSE INSTABILITY OF ORTHOTROPIC VISCOPLASTIC PLATES 正交各向异性粘塑性板的扩散失稳
IF 0.4 Q3 Engineering Pub Date : 2021-12-30 DOI: 10.24874/jsscm.2021.15.02.10
L. Kudrjavceva, M. Mićunović
Elastic strain is covered by the effective medium homogenization method inside a representative volume element (RVE). It has an incremental quasi rate-independent (QRI) form obtained by the endochronic concept of thermodynamic time. The rate dependence takes place by means of stress rate dependent value of the initial yield stress. Free meso rotations and constrained micro rotations within a representative volume element (RVE) are assumed. A comparison between QRI and J2 diffuse instability equations is presented for orthotropic materials. A new QRI nonlinear evolution equation for orthotropic materials is derived by tensor function representation with Spencer-Boehler structural tensors.
在代表性体积元(RVE)内部,采用有效介质均匀化方法覆盖弹性应变。它具有由热力学时间内时概念得到的增量准速率无关(QRI)形式。速率依赖是通过初始屈服应力的应力速率依赖值来实现的。假设具有代表性的体元(RVE)内存在自由中观旋转和受限微旋转。对正交各向异性材料的QRI和J2扩散不稳定性方程进行了比较。利用Spencer-Boehler结构张量的张量函数表示,导出了正交各向异性材料的QRI非线性演化方程。
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引用次数: 0
PHYSICS-INFORMED NEURAL NETWORKS FOR ELASTIC PLATE PROBLEMS WITH BENDING AND WINKLER-TYPE CONTACT EFFECTS 具有弯曲和温克尔型接触效应的弹性板问题的物理信息神经网络
IF 0.4 Q3 Engineering Pub Date : 2021-12-30 DOI: 10.24874/jsscm.2021.15.02.05
A. Muradova, G. Stavroulakis
Kirchhoff plate bending and Winkler-type contact problems with different boundary conditions are solved with the use of physics-informed neural networks (PINN). The PINN is built on the base of mechanics laws and deep learning. The idea of the technique includes fitting the governing partial differential equations at collocation points and then training the neural network with the use of optimization techniques. Training of the neural network is performed by numerical optimization using Adam’s method and the L-BFGS (Limited- Broyden–Fletcher–Goldfarb–Shanno) algorithm. The error loss function and the computational error of the approximate solution (output of the neural network) of the bending problem and contact problem with Winkler type elastic foundation are shown on examples. The predictions of the NN are investigated for different values of the foundation’s constants. The effectiveness of the proposed framework is demonstrated through numerical experiments with different numbers of epochs, hidden layers, neurons and numbers of collocation points. The Tensorflow deep learning and scientific computing package of Python is used through a Jupyter Notebook.
利用物理信息神经网络(PINN)求解了不同边界条件下的Kirchhoff板弯曲和Winkler型接触问题。PINN建立在力学定律和深度学习的基础上。该技术的思想包括在配置点拟合控制偏微分方程,然后使用优化技术训练神经网络。神经网络的训练是通过使用Adam方法和L-BFGS(Limited-Broyden–Fletcher–Goldfarb–Shanno)算法的数值优化来执行的。文中给出了Winkler型弹性地基的弯曲问题和接触问题的误差损失函数和近似解(神经网络输出)的计算误差。对不同基础常数值的神经网络预测进行了研究。通过不同时期数、隐藏层数、神经元数和搭配点数的数值实验,验证了该框架的有效性。Python的Tensorflow深度学习和科学计算包通过Jupyter笔记本使用。
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引用次数: 2
CORONARY ATHEROSCLEROSIS ASSESSMENT: A NEW ANATOMICAL, FUNCTIONAL, MORPHOLOGICAL AND BIO-MECHANICAL APPROACH 冠状动脉粥样硬化评估:一种新的解剖、功能、形态和生物力学方法
IF 0.4 Q3 Engineering Pub Date : 2021-12-30 DOI: 10.24874/jsscm.2021.15.02.03
P. Siogkas, G. Kalykakis, C. Anagnostopoulos, T. Exarchos
The aims of this work are to investigate and compare two different flow dynamics techniques (steady state - pulsatile flow) for endothelial shear stress calculation, compare lesion specific smartFFR and ESS values, as well as total vessel smartFFR and ESS values, and investigate the relationship between smartFFR and ESS to stress MBF (myocardial blood flow) and MFR (myocardial flow reserve). A total of 10 coronary vessels of 6 patients with intermediate pre-test likelihood for coronary artery disease, who have undergone both CTCA and PET-MPI with 15O-water or 13N-ammonia, were included in the study. Seven (7) cases had normal stress MBF and MFR values and three (3) had abnormal ones. PET was considered abnormal when > 1 contiguous segments showed both stress MBF ≤2.3mL/g/min and MFR ≤2.5 for 15O-water or 1.79 mL/g/min and ≤2.0 for 13N-ammonia, respectively. The ESS at the luminal surface of the artery was calculated as the product of viscosity and the gradient of blood velocity near the vessel wall. To calculate the smartFFR, we performed a transient simulation for each case. We used a pressure of 100 mmHg as a boundary condition at the inlet (i.e. mean human aortic pressure). At the outlet, a flow profile of 4 timesteps with a timestep duration of 0.25 sec was used. In each timestep, a volumetric flow rate of 1, 2, 3 and 4 ml/s are applied as outlet boundary conditions. The cut-off value for a pathological smartFFR is 0.83. There is a difference in total vessel calculated smartFFR results compared to the corresponding values of lesion specific smartFFR (0.88 vs 0.97, p=0.01). For ESS there is a negligible difference between lesion specific and total vessel values (2.22 vs 2.74, p = 0.9). There is a moderate negative correlation between both lesions specific (r = -0.543) and total vessel smartFFR and ESS (r = -0.915). ESS values were higher in vessels where vessel smartFFR was considered abnormal (1.97 vs 5.52, p = 0.01). Total vessel length smartFFR was lower in vessels with abnormal PET-MPI compared to the normal vessels (0.75 vs 0.93, p = 0.01). ESS is higher in vessels with pathological stress MBF and CFR (5.5 vs 2.0, p = 0.02). The total vessel length smartFFR and lesion ESS appear to assess the functional significance of the vessel well, when compared to the PET-MPI measurements.
本工作的目的是研究和比较用于内皮剪切应力计算的两种不同的流动动力学技术(稳态-脉动流),比较病变特异性smartFFR和ESS值,以及总血管smartFFR和ESS值,并研究smartFFR和ESS与应力MBF(心肌血流量)和MFR(心肌流量储备)的关系。本研究共纳入了6名冠状动脉疾病测试前可能性中等的患者的10条冠状动脉,这些患者用15O水或13N氨同时接受了CTCA和PET-MPI治疗。7例应力MBF和MFR值正常,3例应力异常。当>1个连续片段显示应力MBF≤2.3mL/g/min和MFR≤2.5(对于15O水)或1.79mL/g/min和≤2.0(对于13N氨)时,PET被认为是异常的。动脉管腔表面的ESS计算为血管壁附近的粘度和血流速度梯度的乘积。为了计算smartFFR,我们对每种情况进行了瞬态模拟。我们使用100毫米汞柱的压力作为入口的边界条件(即平均人主动脉压)。在出口处,使用4个时间步长的流动剖面,时间步长持续时间为0.25秒。在每个时间步长中,应用1、2、3和4ml/s的体积流速作为出口边界条件。病理智能血流储备分数的临界值为0.83。与病变特异性smartFFR的相应值相比,总血管计算的smartFFR结果存在差异(0.88 vs 0.97,p=0.01)。对于ESS,病变特异性和总血管值之间的差异可以忽略不计(2.22 vs 2.74,p=0.9)。病变特异性(r=-0.543)与总血管smartFFR&ESS之间存在中度负相关(r=-0.915)在血管smartFFR被认为异常的血管中,ESS值更高(1.97 vs 5.52,p=0.01)。与正常血管相比,PET-MPI异常的血管的总血管长度smartFFR更低(0.75 vs 0.93,p=01)。在具有病理应力MBF和CFR的血管中ESS更高(5.5 vs 2.0,p=0.02)与PET-MPI测量值相比,血管井的功能意义。
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引用次数: 0
PARAMETRIC INVESTIGATION OF BAND GAP EFFECTS IN CHIRAL MICROSTRUCTURES 手性微结构中带隙效应的参数研究
IF 0.4 Q3 Engineering Pub Date : 2021-12-30 DOI: 10.24874/jsscm.2021.15.02.07
Panagiotis Koutsianitis, Georgios K. Tairidis, Alexandros Kougkoulos, G. Stavroulakis
Vibration suppression has been thoroughly studied in the last few years. A number of methods has been proposed for this purpose. An evolving method lies in the search of band gap regions, that is, certain frequency ranges where vibrations are isolated. In the present investigation, a periodic unit cell of a chiral metamaterial has been created in order to study its dynamic behavior and how this affects the wave propagation into a lattice structure consisting of repeated chiral microstructures. Each cell represents a composite structure consisted by a soft matrix with hard connector wings and a circular core. The system is studied by plane stress finite elements. The design parameters of the structure that define the shape and the material are modified in order to study the changes at the appearance of the band gap areas. In addition, results of the dynamic response of the structure in the frequency domain will be presented in order to show the magnitude of the vibration reduction that can be achieved in a specific frequency range.
在过去的几年里,人们对振动抑制进行了深入的研究。为此提出了许多方法。一种不断发展的方法是搜索带隙区域,即隔离振动的特定频率范围。在本研究中,已经创建了手性超材料的周期性晶胞,以研究其动力学行为以及这如何影响波传播到由重复手性微结构组成的晶格结构中。每个单元代表一个复合结构,由带有硬连接翼和圆形芯的软基质组成。采用平面应力有限元方法对系统进行了研究。修改定义形状和材料的结构的设计参数,以便研究带隙区域的外观变化。此外,还将给出结构在频域中的动态响应结果,以显示在特定频率范围内可以实现的减振幅度。
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引用次数: 2
FORCED CONVECTION IN A LID-DRIVEN NON-NEWTONIAN BLOOD FLOW THROUGH A STENOTIC ARTERY 通过狭窄动脉的盖子驱动的非牛顿血液流动中的强制对流
IF 0.4 Q3 Engineering Pub Date : 2021-11-01 DOI: 10.24874/jsscm.2021.15.01.05
Ignatius Fernandes, N. Bodke
Cardiovascular diseases are one of the major health concerns globally, mainly caused by inadequate blood flow in different body parts. The lack of blood flow is often due to abnormal narrowing of blood vessels, and a systematic technique to boost blood flow in these areas can help cure the disease. One such method uses elevated temperatures to influence blood flow in the concerned areas. This paper investigates this process, i.e. the forced convection, through blood flow in a stenotic region of a human artery. A part of the stenotic region is considered a porous medium and the top wall is subjected to a higher temperature with a lid moving from left to right. Blood is considered as a non-Newtonian fluid with the power law index varying from 0.5 to 1.5. The geometric properties are considered to match the problem of blood flow in the artery affected by stenosis. The Carreau-Yasuda model is used to represent the non-Newtonian fluid flow in porous media and the numerical analysis is carried out using the Lattice Boltzmann method. This problem is investigated to study the influence of the moving lid and other geometric properties on convection and flow properties such as velocity profiles, streamlines, isotherms and heat transfer.
心血管疾病是全球主要的健康问题之一,主要由身体不同部位的血液流动不足引起。血流量不足通常是由于血管异常狭窄造成的,而一种系统的技术来促进这些区域的血流量可以帮助治愈这种疾病。一种这样的方法使用升高的温度来影响相关区域中的血液流动。本文研究了这一过程,即通过人体动脉狭窄区域的血流进行的强制对流。狭窄区域的一部分被认为是多孔介质,并且随着盖子从左向右移动,顶壁受到更高的温度。血液被认为是非牛顿流体,幂律指数在0.5到1.5之间变化。几何特性被认为与受狭窄影响的动脉中的血流问题相匹配。用Carreau-Yasuda模型表示多孔介质中的非牛顿流体流动,并用Lattice Boltzmann方法进行了数值分析。研究这个问题是为了研究移动盖和其他几何特性对对流和流动特性的影响,如速度剖面、流线、等温线和传热。
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引用次数: 0
NUMERICAL ANALYSIS OF REINFORCED CONCRETE BEAM-COLUMN JOINT UNDER ACCIDENTAL IMPACT 钢筋混凝土梁柱节点在意外冲击下的数值分析
IF 0.4 Q3 Engineering Pub Date : 2021-11-01 DOI: 10.24874/jsscm.2021.15.01.10
S. Savin
The purpose of this study is to create a universal computational model of a plane-stressed joint element, which could be implemented as a special finite element of the beam-column subassembly integrated into the FEA procedure to improve its accuracy. The combination both of the finite element method and the finite difference method has been accepted to simulate the structural behavior of monolithic reinforced concrete joints of building frames. The finite difference method is used directly for analysis the stress-strain state of a 2D stressed member of a monolithic joint, and the FEM is used for preliminary obtaining the conditions on the contour of this plane stressed member. The proposed model allows considering the discrete reinforcement, as well as the disruption of the adhesion of the reinforcing bars to concrete matrix along the contact surface. For the purposes of implementing the model, an algorithm for the stress-strain state analysis of the beam-column joint is proposed. An example of calculating an experimental frame unit based on the proposed approach is considered.
本研究的目的是建立一个平面应力节点单元的通用计算模型,该模型可以作为梁柱组件的特殊有限元集成到有限元程序中,以提高其精度。采用有限元法和有限差分法相结合的方法来模拟建筑框架整体钢筋混凝土节点的结构性能已被广泛接受。直接采用有限差分法对整体节点二维受力构件的应力-应变状态进行了分析,并采用有限元法初步得到了该平面受力构件的轮廓条件。所提出的模型允许考虑离散钢筋,以及沿接触面钢筋与混凝土基体粘附的破坏。为实现该模型,提出了一种梁柱节点应力-应变状态分析算法。最后给出了一个基于该方法计算实验帧单元的实例。
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引用次数: 0
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Journal of the Serbian Society for Computational Mechanics
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