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Effective length of bamboo-like stiffened hollow cylindrical structures 竹状加劲空心圆柱结构的有效长度
IF 1.7 4区 工程技术 Q2 Mathematics Pub Date : 2022-01-01 DOI: 10.1093/jom/ufac019
Ryo Nishiyama, Motohiro Sato
Hollow cylindrical structures are susceptible to local buckling because they flatten and significantly reduce their stiffness when they bend. Therefore, many previous studies aimed to improve the strength of pipelines and building structures were conducted. Our research group has focused on bamboo and has theoretically proven that stiffness anisotropy caused by bamboo's unique nodes and vascular bundles enhances the stiffness of cylindrical structures. In this study, to investigate this analytically, we carried out a finite-element analysis and succeeded in deriving a new dimensionless parameter that the stiffening effect of an anisotropic consideration. This result is applicable to a wide range of cylindrical structures, from thin-walled to thick-walled, and it is expected that bamboo-inspired bionic designs will be proposed in the future.
空心圆柱形结构容易发生局部屈曲,因为它们在弯曲时变平并显著降低其刚度。因此,前人进行了许多旨在提高管道和建筑结构强度的研究。本课题组以竹子为研究对象,从理论上证明了竹子独特的节点和维管束所引起的刚度各向异性增强了圆柱形结构的刚度。在这项研究中,为了解析地研究这一点,我们进行了有限元分析,并成功地推导了一个新的无量纲参数,该参数考虑了各向异性的加劲效应。这一结果适用于从薄壁到厚壁的各种圆柱形结构,预计未来将提出以竹子为灵感的仿生设计。
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引用次数: 1
Analysis of general functional bearing model in a single-span bridge to identify structure response and suitable friction coefficient under near- and far-fault earthquakes 近、远断层地震作用下单跨桥梁一般功能支座模型分析及结构响应识别
IF 1.7 4区 工程技术 Q2 Mathematics Pub Date : 2022-01-01 DOI: 10.1093/jom/ufac041
A. M. Ummati, Chih-Shian Chen, Ren‐Zuo Wang, Chung-Yue Wang
Analysis of a single-span bridge with rubber bearing as the isolation system is performed under earthquakes. The conventional bridge seismic design requires the whole structure to be perfectly connected to avoid interrupting the transfer of earthquake energy from the ground through the bridge. A bridge with this typical design requires a high-cost construction due to the need for a huge section of the bridge to resist the earthquake force demand. Thus, many bridges in Taiwan are designed with a rubber bearing only put in between the column and girder without an anchor system. Thus, the bridge movement by rubber displacement is permissible, but the sliding displacement must be accommodated to limit the movement. The sliding displacement is the method to exploit the friction force provided by the sliding on the top and bottom interface of the rubber with the girder and column to dissipate the earthquake input energy transmitted to the structure. By involving the role of surface friction, the shear force transmitted to the structure can be reduced and the bridge performance optimized. General Functional Bearing Model (GFBM) analysis is a rubber bearing analysis which unmerges the function of friction and restoring force. In contrast with the conventional method, the rubber bearing designed with GFBM analysis may reduce the bridge stiffness and deck acceleration, and it is more convenient because only sliding displacement needs to be controlled. This research proposed GFBM analysis to simulate the rubber bearing that is reflected in the real conditions of bridges in Taiwan.
对某采用橡胶支座作为隔震体系的单跨桥梁进行了地震分析。传统的桥梁抗震设计要求整个结构完美连接,以避免中断地震能量从地面通过桥梁的传递。这种典型设计的桥梁需要很高的建造成本,因为需要巨大的桥梁部分来抵抗地震力的需求。因此,台湾的许多桥梁都是在柱和梁之间设计橡胶支座,而没有锚固系统。因此,由橡胶位移引起的桥梁运动是允许的,但必须容纳滑动位移以限制运动。滑动位移是利用橡胶与梁、柱的上下界面滑动所产生的摩擦力来耗散传递给结构的地震输入能量的方法。通过引入表面摩擦的作用,可以减小传递给结构的剪力,优化桥梁性能。通用功能支座模型(GFBM)分析是一种不考虑摩擦和恢复力作用的橡胶支座分析方法。与传统方法相比,采用GFBM分析设计的橡胶支座可以降低桥梁刚度和桥面加速度,并且只需控制滑动位移,更加方便。本研究提出GFBM分析法来模拟台湾地区桥梁实际情况中所反映的橡胶支座。
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引用次数: 0
Modeling intracellular transport and traffic jam in 3D neurons using PDE-constrained optimization 基于pde约束优化的三维神经元细胞内运输和交通阻塞建模
IF 1.7 4区 工程技术 Q2 Mathematics Pub Date : 2022-01-01 DOI: 10.1093/jom/ufac007
Angran Li, Y. Zhang
The intracellular transport process plays an important role in delivering essential materials throughout branched geometries of neurons for their survival and function. Many neurodegenerative diseases have been associated with the disruption of transport. Therefore, it is essential to study how neurons control the transport process to localize materials to necessary locations. Here, we develop a novel optimization model to simulate the traffic regulation mechanism of material transport in three-dimensional complex geometries of neurons. The transport is controlled to avoid traffic jams of materials by minimizing a predefined objective function. The optimization subjects to a set of partial differential equation (PDE) constraints that describe the material transport process based on a macroscopic molecular-motor-assisted transport model of intracellular particles. The proposed PDE-constrained optimization model is solved in complex tree structures by using the isogeometric analysis. Different simulation parameters are used to introduce traffic jams and study how neurons handle the transport issue. Specifically, we successfully model and explain the traffic jam caused by the reduced number of microtubules (MTs) and MT swirls. In summary, our model effectively simulates the material transport process in healthy neurons and also explains the formation of a traffic jam in abnormal neurons. Our results demonstrate that both geometry and MT structure play important roles in achieving an optimal transport process in neurons.
细胞内转运过程在神经元分支几何结构中传递必需物质以维持其存活和功能方面起着重要作用。许多神经退行性疾病都与转运受阻有关。因此,研究神经元如何控制转运过程以将物质定位到需要的位置是非常必要的。在此,我们建立了一个新的优化模型来模拟神经元三维复杂几何结构中物质运输的交通调节机制。通过最小化预定义的目标函数来控制运输以避免物料的交通堵塞。基于细胞内颗粒的宏观分子-马达辅助运输模型,优化过程受一组描述物质运输过程的偏微分方程(PDE)约束。提出的pde约束优化模型采用等距分析方法求解复杂树形结构。采用不同的仿真参数来引入交通阻塞,研究神经元如何处理交通问题。具体来说,我们成功地模拟和解释了由微管(MT)和MT漩涡数量减少引起的交通堵塞。综上所述,我们的模型有效地模拟了健康神经元中的物质运输过程,也解释了异常神经元中交通堵塞的形成。我们的研究结果表明,几何和MT结构在实现神经元的最佳运输过程中起着重要作用。
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引用次数: 5
Cost-effective and accurate interlaminar stress modeling of composite Kirchhoff plates via immersed isogeometric analysis and equilibrium 基于浸没等高几何分析和平衡的复合材料基尔霍夫板层间应力建模
IF 1.7 4区 工程技术 Q2 Mathematics Pub Date : 2022-01-01 DOI: 10.1093/jom/ufac005
A. Patton, M. Carraturo, F. Auricchio, A. Reali
The interest for composites has constantly grown in recent years, especially in the aerospace and automotive industries, as they can be moulded in complex form and geometry, as well as exhibit enhanced engineering properties. Nevertheless, despite the accelerated diffusion of laminated composites, the design of these materials is often restrained by the lack of cost-effective modeling techniques. In fact, the existing numerical strategies allowing for cheap simulations of laminated structures usually fail to directly capture out-of-plane through-the-thickness stresses, which are typically responsible for failure modes such as delamination. In this context, a stress recovery approach based on equilibrium has been recently shown to be an efficient modeling strategy in the framework of isogeometric analysis. Since immersed approaches like the finite cell method have been proven to be a viable alternative to mesh-conforming discretization for dealing with complex/dirty geometries as well as trimmed surfaces, we herein propose to extend the stress recovery approach combining the finite cell method, isogeometric analysis and equilibrium to model the out-of-plane behavior of Kirchhoff laminated plates. Extensive numerical tests showcase the effectiveness of the proposed approach.
近年来,人们对复合材料的兴趣不断增长,特别是在航空航天和汽车行业,因为复合材料可以被塑造成复杂的形状和几何形状,并表现出增强的工程性能。然而,尽管层压复合材料的扩散速度加快,但这些材料的设计往往受到缺乏成本效益的建模技术的限制。事实上,现有的数值策略允许对层合结构进行廉价的模拟,通常不能直接捕获面外穿过厚度的应力,这通常是导致分层等破坏模式的原因。在这种情况下,基于平衡的应力恢复方法最近被证明是等几何分析框架中的一种有效的建模策略。由于浸入式方法,如有限单元法,已被证明是一种可行的替代网格一致性离散化处理复杂/肮脏的几何形状,以及切边表面,我们在此提出扩展应力恢复方法,结合有限单元法,等几何分析和平衡来模拟基尔霍夫层合板的面外行为。大量的数值试验表明了该方法的有效性。
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引用次数: 2
Scattering of a scalene trapezoidal hill with a shallow cavity to SH waves 带浅腔的不等边梯形山对SH波的散射
IF 1.7 4区 工程技术 Q2 Mathematics Pub Date : 2022-01-01 DOI: 10.1093/jom/ufac010
Yingchao Sun, Zai-lin Yang, Lei Chen, Duanhua Mao
Both surface ground motion and cavity stress concentration have always been considered in the designs of earthquake engineering. In this paper, a theoretical approach is used to study the scattering problem of circular holes under a scalene trapezoidal hill. The wave displacement function was obtained by solving the Helmholtz equation that meets the zero-stress boundary conditions by the variable separation method and the image method. Based on the complex function, the multipolar coordinate method and the region-matching technique, algebraic equations were established at auxiliary boundaries and free boundary conditions in the complex domain. Auxiliary circles were used to solve the singularity of the reflex angle at the trapezoidal corner. Then, according to the sample statistics, instead of the Fourier expansion method, the least-squares method was used to solve the undetermined coefficient of the algebraic equations by discrete boundaries. Frequency responses for some parameters were calculated and discussed. The numerical results demonstrate that the continuity of the auxiliary boundaries and the accuracy of the zero-stress boundary are good; the displacement of the free surface and the stress of the circular hole are related to the shape of the trapezoid, the position of the circular hole, the direction of the incident wave and the frequency content of the excitation. Finally, time-domain responses were calculated by inverse fast Fourier transform based on the frequency domain theory, and the results have revealed the wave propagation mechanism in the complicated structure.
在地震工程设计中,地表震动和空腔应力集中一直是需要考虑的问题。本文用理论方法研究了不等边梯形丘下圆孔的散射问题。采用变量分离法和图像法求解满足零应力边界条件的亥姆霍兹方程,得到波位移函数。基于复函数、多极坐标法和区域匹配技术,在复域的辅助边界和自由边界条件下建立了代数方程。利用辅助圆求解梯形角处反射角的奇异性。然后,根据样本统计量,用最小二乘法代替傅里叶展开法,通过离散边界求解代数方程的待定系数。对一些参数的频率响应进行了计算和讨论。数值计算结果表明,辅助边界具有较好的连续性和零应力边界的精度;自由表面的位移和圆孔的应力与梯形的形状、圆孔的位置、入射波的方向和激励的频率含量有关。最后,利用基于频域理论的快速傅里叶反变换计算了时域响应,揭示了复杂结构中波的传播机理。
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引用次数: 2
Dynamic analysis of the single rotor-bearing system considering the comprehensive stiffness and damping 考虑综合刚度和阻尼的单转子-轴承系统动力学分析
IF 1.7 4区 工程技术 Q2 Mathematics Pub Date : 2022-01-01 DOI: 10.1093/jom/ufac022
C. Ri, RyongSik O, Qianghfu Zhao, Chunghyok Chae, Yong-Seung Sin, Yong-Seung Sin
The rotor system supported by the cylindrical roller bearings is widely used in various fields, such as aviation, space and machinery due to its importance. In study of the analysis of the vibration characteristics of the rotor system, it is important to accurately calculate the stiffness and damping of the cylindrical roller bearings. Therefore, in this paper, the dynamic characteristics of the simple rotor-bearing system were analyzed based on the new dynamic model of the rotor system considering the comprehensive stiffness and damping model of the cylindrical roller bearing. In consideration of the radial clearance of the cylindrical roller bearing, the radial load acting on the cylindrical roller bearing is derived and based on this, the Hertz contact stiffness model of the cylindrical roller bearing is obtained. After obtaining the oil film stiffness model of the cylindrical roller bearing according to the EHL theory, the comprehensive stiffness of the cylindrical roller bearing was calculated by combining the Hertz contact stiffness and the oil film stiffness of the cylindrical roller bearing. After a comprehensive damping model of the cylindrical roller bearing considering the radial clearance was created, a dynamic model of the simple rotor-bearing system was created based on the comprehensive stiffness and damping model of the cylindrical roller bearing. The dynamic characteristics of the simple rotor-bearing system were analyzed using the MATLAB program. The amplitude of the simple rotor-bearing system considering the comprehensive stiffness and damping was reduced by 18.2% compared to the case where it was not considered. This shows that the structure of the cylindrical roller bearing has a restraining effect on the unbalanced response of the rotor system.
圆柱滚子轴承支承的转子系统由于其重要性而广泛应用于航空、航天、机械等各个领域。在研究转子系统的振动特性分析时,准确计算圆柱滚子轴承的刚度和阻尼是很重要的。因此,本文基于考虑圆柱滚子轴承的综合刚度和阻尼模型的转子系统新动力学模型,对简单转子-轴承系统的动态特性进行了分析。考虑圆柱滚子轴承的径向游隙,推导了作用在圆柱滚子轴承上的径向载荷,并在此基础上得到了圆柱滚子轴承的赫兹接触刚度模型。根据EHL理论得到圆柱滚子轴承的油膜刚度模型后,结合圆柱滚子轴承的赫兹接触刚度和油膜刚度计算圆柱滚子轴承的综合刚度。在建立考虑径向游隙的圆柱滚子轴承综合阻尼模型后,基于圆柱滚子轴承的综合刚度和阻尼模型,建立了简单转子-轴承系统的动力学模型。利用MATLAB程序对简单转子-轴承系统的动态特性进行了分析。与不考虑综合刚度和阻尼的情况相比,考虑综合刚度和阻尼的简单转子-轴承系统的幅值减小了18.2%。这表明圆柱滚子轴承的结构对转子系统的不平衡响应有抑制作用。
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引用次数: 2
Crack propagation induced by a plane stress wave in a general anisotropic elastic material 一般各向异性弹性材料中平面应力波诱导的裂纹扩展
IF 1.7 4区 工程技术 Q2 Mathematics Pub Date : 2022-01-01 DOI: 10.1093/jom/ufac030
Kuang-Chong Wu
The stress intensity factors of a semi-infinite crack propagating with constant speed in an anisotropic elastic solid under a uniform stress wave loading are considered. The crack is assumed to start propagating at some arbitrary time after an obliquely incident plane stress wave strikes the crack tip. It is shown that the stress intensity factor of the propagating crack has the form of the product of a universal matrix function of the crack speed and an equivalent stationary crack stress intensity factor of t*, which is the time that would have elapsed since the incident wavestruck the crack tip if the crack tip had been always at its instantaneous position. The present result is a generalization of that obtained by Freund for isotropic materials.
研究了各向异性弹性固体中匀速扩展的半无限裂纹在均匀应力波载荷作用下的应力强度因子。假设在斜入射平面应力波撞击裂纹尖端后,裂纹在任意时间开始扩展。结果表明,裂纹扩展的应力强度因子是裂纹速度的通用矩阵函数与等效的平稳裂纹应力强度因子t*的乘积,t*是如果裂纹尖端始终处于瞬时位置,那么从入射波撞击到裂纹尖端所经过的时间。目前的结果是对Freund对各向同性材料所得结果的推广。
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引用次数: 0
In-plane-dominated vibration characteristics of piezoelectric thick circular plates based on higher-order plate theories 基于高阶板理论的压电厚圆板面内主导振动特性
IF 1.7 4区 工程技术 Q2 Mathematics Pub Date : 2022-01-01 DOI: 10.1093/jom/ufac034
Ming Ji, Yi-Chuang Wu, Chien-Ching Ma
Numerous engineering applications exist for the piezoelectric effect, which results from the electromechanical coupling between electrical and mechanical fields. In-plane vibrations of piezoelectric plates’ resonance frequencies and associated mode shapes have been thoroughly investigated. However, analytical solutions for in-plane-dominated vibrations of thick piezoelectric circular plates are limited. In this paper, higher-order plate theories for the in-plane-dominated vibration characteristics of piezoelectric circular thick plates under fully clamped and completely free boundary conditions are presented. The resonant frequencies and associated mode shapes were investigated based on two higher-order plate theories: second-order shear deformation plate theory and third-order shear deformation plate theory, as well as simplified third-order linear piezoelectric theory. Hamilton's principle was applied to derive equations of motion and boundary conditions. In the theoretical analysis, the resonant frequencies, associated mode shapes and distribution of electric displacements for various radius-to-thickness ratios were calculated. The numerical results obtained by the finite element method were compared with those obtained from theoretical analysis. Excellent agreement was found between the theoretical and numerical results for the thick piezoelectric circular plates.
压电效应是由电场和机械场之间的机电耦合引起的,在工程上有许多应用。对压电板的平面内振动的共振频率和相关振型进行了深入的研究。然而,厚压电圆板平面内主导振动的解析解有限。本文提出了全夹紧和完全自由边界条件下压电圆厚板面内主导振动特性的高阶板理论。基于两种高阶板理论:二阶剪切变形板理论和三阶剪切变形板理论,以及简化的三阶线性压电理论,对谐振频率和相关振型进行了研究。应用哈密顿原理推导运动方程和边界条件。在理论分析中,计算了不同半径厚度比下的谐振频率、相关振型和电位移分布。将有限元计算结果与理论分析结果进行了比较。对于厚压电圆板,理论计算结果与数值计算结果吻合良好。
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引用次数: 0
Realization and optimization of a binary cycle power generating system using a low-grade heat source 低品位热源双循环发电系统的实现与优化
IF 1.7 4区 工程技术 Q2 Mathematics Pub Date : 2022-01-01 DOI: 10.1093/jom/ufac014
Wun-Hao Yang,Pin-Cheng Hou,Wei-Hung Shih,Sung-Wei Hsu,Yu-Bin Chen
Abstract The low-grade heat source thermoelectric system generates electricity using a working fluid at temperature lower than 100°C or gas at temperature lower than 250°C. The system is usually composed of binary (1 + 0.5 × 2) cycles. Positive net output power or high efficiency of the system can only be feasible after optimization. Most works focused on the cycle of working fluid and treated the power consumptions of the other cycles as constants. However, both cycles should be comprehensively considered in optimization, especially when power consumptions vary with working conditions. This research selected an organic Rankine cycle thermoelectric system for demonstration. A thermodynamic model conforming to the target system was built. The temperature of the heat source and the pressure at expander inlet were tailored using the genetic algorithm. The best efficiency is 1.89%, and the largest net output power is 5.80 kW. Both results are better than those (efficiency = 1.59% and net output power = 5.34 kW) from benchmarks under the highest temperature of heat source and inlet pressure among possible working conditions. Experimental results are provided for both validation of the model and confirmation of the superiority of optimization results.
低品位热源热电系统利用温度低于100℃的工质或温度低于250℃的气体发电。该系统通常由二进制(1 + 0.5 × 2)周期组成。系统的净输出功率为正或效率高,只有经过优化才能实现。大多数的工作集中在工作流体的循环,并把其他循环的功率消耗作为常数。但是,在优化时应综合考虑这两个周期,特别是在功耗随工况变化的情况下。本研究选择了一个有机朗肯循环热电系统进行演示。建立了符合目标系统的热力学模型。采用遗传算法对热源温度和膨胀机入口压力进行了优化。最佳效率为1.89%,最大净输出功率为5.80 kW。这两个结果都优于在最高热源温度和进口压力条件下的基准测试结果(效率= 1.59%,净输出功率= 5.34 kW)。实验结果既验证了模型的正确性,也证实了优化结果的优越性。
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引用次数: 0
Research on performance optimization of gas–liquid ejector in multiphase mixed transportation device 多相混合输送装置气液喷射器性能优化研究
IF 1.7 4区 工程技术 Q2 Mathematics Pub Date : 2022-01-01 DOI: 10.1093/jom/ufac001
Junyou Zhao, Xin Wei, Junyan Zou, Yaning Zhang, Jiafeng Sun, Zhongping Liu
In the process of oil and gas extraction, a system that uses a pump and reversing mechanism to achieve high-efficiency export of gas–liquid mixture is devised. A gas–liquid ejector is fitted in the front of the device to boost pressure inside the tank in order to store more gas in the tank under a given volume. To meet the working conditions of gas–liquid high-efficiency transport device and obtain a larger outlet pressure and better ejection performance, this paper investigates the effect of outlet pressure, ratio of throat inlet area to nozzle outlet area and nozzle contraction angle on the ejection performance of gas–liquid ejector, and simulations using the computational fluid dynamics approach. At the same time, an experiment platform is built for testing. The research findings show that the ejection gas flow rate and ejection ratio of gas–liquid ejector decrease with the increase of the outlet pressure; as the ratio of throat inlet area to nozzle outlet area increases, the ejection gas flow rate and the ejection ratio of gas–liquid ejector increase first and then decrease. Different nozzle diameters correspond to different optimal area ratios; under the specified working parameters, with the increase of the nozzle contraction angle, the ejection gas flow rate and injection ratio of the gas–liquid ejector increase first and then decrease, and there is an optimal nozzle contraction angle.
在油气开采过程中,设计了一种利用泵和换向机构实现气液混合物高效输出的系统。在该装置的前部安装了一个气液喷射器,以提高罐内的压力,以便在给定体积下在罐内储存更多的气体。为了满足气液高效输送装置的工作条件,获得更大的出口压力和更好的喷射性能,本文研究了出口压力、喉部进口面积与喷管出口面积之比和喷管收缩角对气液喷射器喷射性能的影响,并采用计算流体动力学方法进行了仿真。同时搭建了实验平台进行测试。研究结果表明:随着出口压力的增大,气液喷射器的喷射气量和喷射比减小;随着喉部进口面积与喷管出口面积之比的增大,喷射气体流量和气液喷射器的喷射比先增大后减小。不同的喷嘴直径对应不同的最佳面积比;在规定的工作参数下,随着喷嘴收缩角的增大,气液喷射器的喷射气体流量和喷射比先增大后减小,存在一个最优的喷嘴收缩角。
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引用次数: 3
期刊
Journal of Mechanics
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