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Wear and Corrosion Resistance of Hardened Fe-Al-Mn Grinding Ball Fe-Al-Mn淬硬磨球的耐磨性和耐腐蚀性
Pub Date : 2020-08-25 DOI: 10.2174/1874155x02014010015
R. Kartikasari, A. Subardi, Anita Susiana
Chemical composition test results show that this alloy is high alloy steel because it contains 3.6% aluminum (Al), 13.6% manganese (Mn) and 1.1% carbon (C). Microstructures found are austenite, ferrite and kappa. EDS test results show that in the austenite phase, C decreased when hardening temperature increased. Ferrite phase contains Mn which increased when hardening temperature increased while C was the other way around. Mn is relatively stable in the kappa phase. The best wear and corrosion resistance (4.3 x 10 mm/kg and 0.00026 mm/yr) of hardened FeAl-Mn grinding ball occurred at 900C. The corrosion rate is extraordinary.
化学成分测试结果表明,该合金的铝(Al)含量为3.6%,锰(Mn)含量为13.6%,碳(C)含量为1.1%,为高合金钢,显微组织为奥氏体、铁素体和kappa。EDS测试结果表明,在奥氏体相中,C随硬化温度的升高而降低。铁素体相中Mn含量随着硬化温度的升高而增加,而C含量则相反。Mn在kappa相中相对稳定。硬化FeAl-Mn磨球在900℃时的耐磨性和耐蚀性最佳(4.3 × 10 mm/kg和0.00026 mm/yr)。腐蚀速度非常快。
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引用次数: 0
Revised Lewis Bending Stress Capacity Model 修正Lewis弯曲应力能力模型
Pub Date : 2020-07-31 DOI: 10.2174/1874155x02014010001
E. Osakue, Lucky Anetor
Background: During operation, cylindrical gearset experiences tangential, radial, and axial (helical gears only) force components that induce bending, compressive, and shear stresses at the root area of the gear tooth. Accurate estimation of the effective bending stress at the gear root is a challenge. Lewis was the first person who attempted estimating the root bending stress of spur gears with some reasonable accuracy. Various gear standards and codes in use today are modifications and improvements of the Lewis model. Objective: This research aims at revising the Lewis model by making adjustments for dynamic loads, shear stresses, axial bending stress for helical gears, and stress concentration factor that is independent on the moment arm of tangential or axial force component. Methods: An analytical approach is used in formulating a modified formula for the root bending stress in cylindrical gears starting with the original Lewis model. Intermediate expressions are developed in the process and works from many previous authors are reviewed and summarized. The new model developed is used to estimate the root bending stress in four example gearsets of 0 to 41.41 helix angle and the results are compared with those of AGMA (American Gear Manufacturers Association) formula. Results: Analysis from the examples shows that neglecting the radial compressive stress over-estimated the root bending stress by 5.27% on average. When shear stresses are ignored, the root bending stress is under-estimated by 7.49% on average. It is important, therefore, to account for both compressive and shear stresses in cylindrical gear root bending stress. When the root bending stress estimates from the revised Lewis model were compared with AGMA results, deviations in the range of -4.86% to 26.61% were observed. The stress estimates from the revised Lewis formulae were mostly higher than those of AGMA. Conclusion: The new root bending stress model uses stress concentration factors (normal and shear) that are independent of the point of load application on the gear tooth. This decoupling of stress concentration factor from the load moment arm distinguishes the new model from AGMA formula and brings bending stress analysis in gear design in line with classical bending stress analysis of straight and curved beams. The model can be used for both normal contact ratio and high contact ratio cylindrical gears.
背景:在操作过程中,圆柱齿轮组经历切向,径向和轴向(斜齿轮仅)力的组成部分,诱导弯曲,压缩,和切变应力在齿轮齿的根部区域。准确估计齿轮根部的有效弯曲应力是一个挑战。刘易斯是第一个试图以合理的精度估计正齿轮的根弯曲应力的人。今天使用的各种齿轮标准和规范都是对刘易斯模型的修改和改进。目的:通过调整动载荷、剪切应力、斜齿轮轴向弯曲应力以及独立于切向或轴向力分量力臂的应力集中系数,对Lewis模型进行修正。方法:采用解析法,从原Lewis模型出发,建立圆柱齿轮根弯曲应力的修正公式。中间表达是在此过程中发展起来的,并对许多前人的作品进行了回顾和总结。利用所建立的模型对4个0 ~ 41.41螺旋角齿轮组的齿根弯曲应力进行了计算,并与美国齿轮制造商协会(AGMA)的计算公式进行了比较。结果:算例分析表明,忽略径向压应力时,平均高估了树根弯曲应力5.27%。忽略剪应力时,根弯曲应力平均低估7.49%。因此,重要的是要考虑圆柱齿轮根弯曲应力中的压缩和剪切应力。将修正Lewis模型估算的根弯曲应力与AGMA结果进行比较,偏差范围为-4.86% ~ 26.61%。修正刘易斯公式的应力估计大多高于AGMA的估计。结论:新的根弯曲应力模型使用应力集中因子(法向和剪切),这是独立的载荷施加在齿轮齿上的点。这种将应力集中系数与载荷力臂解耦的方法使新模型与AGMA公式区别开来,并使齿轮设计中的弯曲应力分析与经典的直、弯梁弯曲应力分析相一致。该模型既适用于普通接触比圆柱齿轮,也适用于高接触比圆柱齿轮。
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引用次数: 3
The Efficient and Tentative Model for Extenics Replications of the Moveable Robots 可移动机器人可拓复制的有效试探性模型
Pub Date : 2019-02-28 DOI: 10.2174/1874155X01913010001
K. S. Sakyi, Jian-Fei Lu
On the most elementary level, you and I (human beings) were created with five main mechanisms (or parts): • A body which is termed as the main structure of the human being. • A sensory system that takes certain information around the body and the immediate environment. • A muscle system to aid the body move easily. • A control base to trigger the muscles and sensors. • A brain system that develops sensory data and tells the muscles what to do in other words the way forward. Obviously, we likewise have some imperceptible qualities, for example, intellect and ethics, among others but on an absolute corporeal level. Robots, on the other hand, can be created with five main mechanisms or more. This research aims at implementing robots in some tedious jobs that as supposed to be executed by human beings in various factories and industries. This study also presents the practical and tentative model for Extenics replications of the moveable mechanical device (robot) useful on VIPRO stage. Momentary antiquity and indication of the pertinent hypothetical ideas are provided. The intelligent boundary for drawn-out switch uses a novel element for synthetic intelligence which is drawn-out control (Extenics) to expand DHFPC switch rapid enactment of mobile robots. Applying Extenics specific methods and application in vague interplanetary result in a novel, advanced application for the VIPRO stage which can be used to feign and device innovative switch approaches of moveable robots.
在最基本的层面上,你和我(人类)是由五个主要机制(或部分)创造的:•一个身体,被称为人类的主要结构。•一种感知系统,可以获取身体周围和周围环境的某些信息。•肌肉系统,帮助身体轻松移动。•用于触发肌肉和传感器的控制基座。•开发感觉数据并告诉肌肉该做什么的大脑系统,换句话说,就是前进的方向。显然,我们同样也有一些难以察觉的品质,例如智力和道德等等,但都是在绝对的物质层面上。另一方面,机器人可以由五种或更多的主要机构组成。这项研究的目的是在一些繁琐的工作中实现机器人,这些工作本来应该由人类在各种工厂和行业中执行。本研究还提出了可移动机械装置(机器人)在VIPRO舞台上的可伸缩复制的实用和试探性模型。提供了短暂的古代和有关的假设思想的指示。延长开关的智能边界采用延长控制(Extenics)这一新颖的合成智能元素,扩展了DHFPC开关在移动机器人中的快速实现。可拓学的具体方法及其在模糊行星际中的应用为VIPRO阶段提供了一种新颖、先进的应用,可用于设计和实现可移动机器人的创新开关方法。
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引用次数: 0
Controllable Magnetoactive Polymer Conduit 可控磁活性聚合物导管
Pub Date : 2018-11-23 DOI: 10.2174/1874155X01812010192
A. Diermeier, D. Sindersberger, L. Krenkel, X. Rosell, G. Monkman
Magneto-active Polymers (MAP) are smart materials whose mechanical characteristics, such as elastic and shear moduli, may be controllable by means of an externally applied magnetic field. Various additives may be used to influence the characteristics of the polymer matrix whilst a suspension of soft and/or hard magnetic particles determine the magnetic properties of the composite. Both pre-cure and post-cure magnetization is possible. A range of control strategies have been investigated for evaluation of the system using fluids of differing kinematic viscosity. Depending on the degree of magnetic field homogeneity, magneto-deformation and magnetostriction contribute to MAP actuation. This paper presents a novel application in the form of a peristaltic MAP tube system, applicable to flow control and pumping of hemorheological fluids in blood circulatory systems for biomedical research purposes.
磁活性聚合物(MAP)是一种智能材料,其机械特性,如弹性模量和剪切模量,可以通过外部施加的磁场来控制。可以使用各种添加剂来影响聚合物基体的特性,而软磁和/或硬磁颗粒的悬浮液决定复合材料的磁性能。固化前磁化和固化后磁化都是可能的。一系列的控制策略已经研究了评估系统使用不同的运动粘度流体。根据磁场均匀性的不同,磁变形和磁致伸缩有助于MAP的驱动。本文介绍了一种新的蠕动MAP管系统的应用,适用于生物医学研究中血液循环系统中血液流变液的流动控制和泵送。
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引用次数: 1
Experimental Studying of the Variations of Surface Roughness and Dimensional Accuracy in Dry Hard Turning Operation 干硬车削加工中表面粗糙度及尺寸精度变化的实验研究
Pub Date : 2018-10-26 DOI: 10.2174/1874155X01812010175
S. Yousefi, M. Zohoor
Hard turning in dry condition using cubic boron nitride tools, as an alternative of traditional grinding operation, is an advanced machining operation in which hardened steel with the hardness greater than 46 HRc is machined without the use of any coolant. In the hard turning process, due to its hard nature, usually the cutting depth is selected lower than or equal to the nose radius, and the cutting zone is mainly limited within the tool nose area. Thus, unlike the traditional turning, the effect of the nose radius on the surface finish and dimensional accuracy becomes more complicated. Therefore, in this paper, firstly, the effect of processing parameters such as nose radius on the surface roughness and dimensional accuracy is investigated. Then, the relationship between the surface finish and dimensional accuracy variations with vibration, cutting forces, and tool wear is studied experimentally. The results revealed that feed rate is the most important factor influencing the surface roughness, whereas spindle speed and cutting depth are insignificant factors. On the other hand, cutting depth and spindle speed have the greatest effect on the dimensional accuracy, while nose radius has no significant effect. The vibration and wear analysis revealed that compared with the vibration, the tool wear has no considerable effect on the dimensional accuracy. It was also observed that the spindle speed has a contradictory effect on the surface roughness and dimensional accuracy. The best dimensional accuracy is obtained at 500 rpm, while the best surface quality is achieved at 2000 rpm. The obtained results also showed that increasing the feed rate from a particular value not only leads to no significant changes in the surface roughness value but in some cases can also decrease the surface roughness. According to the analysis results, the lowest cutting depth, the moderate feed rate, and the speed lower than 1100 rpm provide the best dimensional accuracy. Compared with carbides and ceramics, cubic boron nitride tools produce a better surface roughness at both higher cutting depth and speed. 0.202 µm is the best surface roughness that was obtained at rε = 1.2 mm, N = 2000 rpm, f = 0.08 mm/rev, d = 0.5 mm which is comparable with the surface quality obtained by the conventional grinding operation.
使用立方氮化硼刀具在干燥条件下进行硬车削,作为传统磨削操作的替代方法,是一种先进的加工操作,在不使用任何冷却剂的情况下加工硬度大于46 HRc的硬化钢。在硬车削过程中,由于其硬性,通常选择切削深度低于或等于刀头半径,切削区域主要限制在刀头区域内。因此,与传统车削不同,机头半径对表面光洁度和尺寸精度的影响变得更加复杂。因此,本文首先研究了机头半径等加工参数对表面粗糙度和尺寸精度的影响。然后,实验研究了振动、切削力和刀具磨损对表面光洁度和尺寸精度变化的影响。结果表明,进给速度是影响表面粗糙度的最重要因素,主轴转速和切削深度对表面粗糙度影响较小。另一方面,切削深度和主轴转速对尺寸精度的影响最大,而机头半径对尺寸精度的影响不显著。振动和磨损分析表明,与振动相比,刀具磨损对尺寸精度的影响不大。主轴转速对表面粗糙度和尺寸精度的影响是相互矛盾的。最佳尺寸精度在500转/分时获得,而最佳表面质量在2000转/分时获得。结果还表明,在一定的进给量基础上增加进给量不仅不会导致表面粗糙度值的显著变化,而且在某些情况下还会降低表面粗糙度。分析结果表明,切削深度最小、进给速度适中、转速低于1100rpm时尺寸精度最佳。与碳化物和陶瓷刀具相比,在更高的切削深度和切削速度下,立方氮化硼刀具具有更好的表面粗糙度。在rε = 1.2 mm, N = 2000 rpm, f = 0.08 mm/rev, d = 0.5 mm的条件下,得到的表面粗糙度最佳为0.202µm,与常规磨削得到的表面质量相当。
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引用次数: 5
An Alternate View of Dimensional Homogeneity, and Its Impact on Engineering Science 尺寸同质性的另一种观点及其对工程科学的影响
Pub Date : 2018-08-31 DOI: 10.2174/1874155X01812010164
E. Adiutori
This article proposes an alternate view of dimensional homogeneity that greatly simplifies the solution of nonlinear engineering problems.The conventional view of dimensional homogeneity is generally credited to Fourier (1822).The objectives of this article are to describe the alternate view of dimensional homogeneity and to demonstrate its application to practical engineering problems.By presenting the solution of several nonlinear engineering problems, this article compares solutions based on the alternate view of dimensional homogeneity with solutions based on the conventional view.Example problems demonstrate that nonlinear engineering problems are much easier to solve if the solutions are based on the alternate view of dimensional homogeneity rather than the conventional view. The relative simplicity results because the alternate view of dimensional homogeneity reduces the number of variables in nonlinear problems.The widely accepted view of dimensional homogeneity should be replaced by the alternate view because the solution of nonlinear engineering problems is greatly simplified.
本文提出了另一种关于尺寸均匀性的观点,它极大地简化了非线性工程问题的求解。维度同质性的传统观点通常归功于傅立叶(1822)。本文的目的是描述尺寸同质性的另一种观点,并展示其在实际工程问题中的应用。本文通过对几个非线性工程问题的解法,比较了基于次元同质性的替代解法和基于常规解法的解法。实例问题表明,非线性工程问题的求解如果基于维度同质性的替代观点而不是传统观点,那么求解起来要容易得多。这种相对简单的结果是因为对维度同质性的替代观点减少了非线性问题中变量的数量。由于非线性工程问题的求解大大简化了,因此应采用替代的观点来取代被广泛接受的尺寸均匀性观点。
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引用次数: 2
Realistic Stacking Sequence Optimisation of an Aero-Engine Fan Blade-Like Structure Subjected to Frequency, Deformation and Manufacturing Constraints 受频率、变形和制造约束的航空发动机风扇叶片状结构的现实叠加序列优化
Pub Date : 2018-06-21 DOI: 10.2174/1874155X01812010151
G. Canale, S. Andrews, F. Rubino, A. Maligno, R. Citarella, P. Weaver
A procedure to optimise the stacking sequence of a composite fan blade-like structure is proposed in this article. The aim of the optimisation is to minimise weight when respecting deformation, frequency and strain constraints. The literature often deals with stacking sequence optimisation of airplane wings or wind turbine blades whilst less attention has been dedicated to aero-engines fan blades, the objective of the present paper. The manufacturing constraints are also implemented in the optimisation process in order to obtain a manufacturable structure.Stacking sequence of composite laminates can be tailored to drive the deformation towards the desired shape (potentially exploiting unbalanced laminates and their anisotropy). When optimising the stacking sequence (including blending/tapering) of an aero-engine fan blade-like structure, manufacturing constraints must be included in order to apply the results of the optimisation procedure into a “Real World” design.To define an engineering procedure able to provide a good design point to minimise the weight of a fan blade-like structure subjected to deformation (tip extension and untwist), frequency and strain constraints.A two-level optimisation procedure is proposed. At the first level, the stacking sequence is optimised in such a way to maximise stiffness (and therefore to minimise deformation). Less stringent limits are applied to the constraints of such a level 1 optimisation. In the second step of the optimisation, the blending/tapering of each ply of the stacking sequence is searched.The fan blade-like structure is loaded only with a centrifugal load (the main load acting on this kind of components). The stacking sequence obtained to minimise the weight contains 42.3% of 0 degrees fibres, 19.25% of 45 degrees fibres, 19.25% of -45 degrees fibres and 19.2% of 90 degrees fibres. Blending in terms of width and length of each layer is given in the numerical results section.When the fan blade-like structure is loaded with a centrifugal force only, in order to minimise weight by respecting untwist, tip extension, frequency and integrity constraints, no unbalance in the laminate has been found necessary. An “Optimum” point has been found after a two steps optimisation. This design point is claimed as a good industrial design point rather than as “optimum” in the mathematical sense. Such a “Best Solution” design point has been verified by exploring the design space near it. All the performance of the neighbour points has been found worse. A comparison between a quasi-isotropic laminate and a zero degreed dominated laminate has been also performed.
本文提出了一种优化复合材料扇叶状结构堆积顺序的方法。优化的目的是在考虑变形、频率和应变约束时最小化重量。文献通常涉及飞机机翼或风力涡轮机叶片的堆叠顺序优化,而对航空发动机风扇叶片的关注较少,这是本文的目的。制造约束也在优化过程中实现,以获得可制造结构。复合材料层压板的堆叠顺序可以定制,以驱动变形向所需的形状(潜在地利用不平衡层压板及其各向异性)。在优化航空发动机风扇叶片状结构的堆叠顺序(包括混合/变细)时,必须考虑制造限制,以便将优化过程的结果应用于“现实世界”的设计。定义一个工程程序,能够提供一个良好的设计点,以最大限度地减少风扇叶片状结构在变形(叶尖延伸和解扭)、频率和应变约束下的重量。提出了一种两级优化方法。在第一层,以这样一种方式优化堆叠顺序以最大化刚度(从而最小化变形)。较不严格的限制适用于这种一级优化的约束。在优化的第二步中,搜索堆叠序列的每一层的混合/锥形。风机叶片式结构只加载离心载荷(作用在这类部件上的主要载荷)。为使重量最小化而获得的堆叠顺序包含42.3%的0度纤维,19.25%的45度纤维,19.25%的-45度纤维和19.2%的90度纤维。数值结果部分给出了各层宽度和长度的混合。当风扇叶片状结构仅加载离心力时,为了通过考虑解扭、尖端延伸、频率和完整性约束来最小化重量,层压板中没有必要存在不平衡。经过两步优化,找到了一个“最优”点。这个设计点被认为是一个好的工业设计点,而不是数学意义上的“最优”。这样的“最佳解决方案”设计点已经通过探索其附近的设计空间得到了验证。所有相邻点的性能都被发现更差。对准各向同性层压板和零度主导层压板进行了比较。
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引用次数: 4
Lay-up Optimization of Laminated Composites Using a Modified Branch and Bound Method 基于改进分支定界法的层合复合材料铺层优化
Pub Date : 2018-06-20 DOI: 10.2174/1874155X01812010138
G. Canale, P. Weaver, F. Rubino, A. Maligno, R. Citarella
Composite materials are widely used in the aerospace, marine and automotive industries. One of their main advantages is that their stacking sequence can be tailored to maximise/minimise a specific structural performance. Efficient and non-computational-expensive algorithms are always needed to find the optimum stacking sequence of a composite laminate whose thickness is either to be minimised or may be kept constant (i.e.the thickness and the plies orientation percentages are pre-determined; the problem of the optimisation is therefore permutational).A modified branch and bound algorithm is proposed here and used to determine the stacking sequence for single and multi-objective optimisation problems. Laminate thickness and orientation percentages are either variables or determined a priori (the optimisation problem is therefore permutational). Computational time is drastically reduced when compared with other meta-heuristic techniques.The proposed method is a branch and bound algorithm, modified from the original work proposed by Kim and Hwang [10]. The main novelty is the starting point of the optimisation sequence: a laminate formed by “Ideal” layers, described in this paper.The modified branch and bound has been first tested with a laminate having fixed thickness and a fixed percentage of layer orientation. Three different problems have been investigated: maximisation of natural frequencies, minimisation of tip deflection and maximisation of buckling critical load. The algorithm has been also tested, secondly, for a problem of weight minimisation subjected to buckling and strength constraints.The MBB has been shown to give good fidelity and significant computational advantages compared with a GA. Despite the simplicity of the structures in the numerical examples, it is anticipated that the MBB can be used to determine lay-ups in multi-part structures. The method was used to determine stacking sequences for several problems. The modified branch and bound method was shown to determine good laminate designs and offer significant efficiency savings.A “Good Design” is here defined as a solution producing “Near Global Optima” fitness values by minimising the computational effort. It was shown that for a single objective without ply competition, global optima were obtained.
复合材料广泛应用于航空航天、船舶和汽车工业。它们的主要优点之一是它们的堆叠顺序可以定制,以最大化/最小化特定的结构性能。对于厚度最小化或保持恒定(即厚度和层向百分比是预先确定的)的复合材料层压板,总是需要高效且计算成本不高的算法来找到最佳堆叠顺序;因此,优化的问题是排列性的。本文提出了一种改进的分支定界算法,用于确定单目标和多目标优化问题的叠加顺序。层压板厚度和方向百分比要么是变量,要么是先验确定的(因此优化问题是排列的)。与其他元启发式技术相比,计算时间大大减少。本文提出的方法是在Kim和Hwang[10]的基础上改进的分支定界算法。主要的新颖之处在于优化序列的起点:由“理想”层形成的层压板,在本文中描述。首先用具有固定厚度和层向固定百分比的层压板测试改进的分支和束缚。研究了三个不同的问题:固有频率最大化、尖端挠度最小化和屈曲临界载荷最大化。其次,该算法还对屈曲和强度约束下的重量最小化问题进行了测试。与遗传算法相比,MBB具有良好的保真度和显著的计算优势。尽管数值例子中的结构很简单,但预计MBB可以用于确定多部分结构的铺层。用该方法确定了若干问题的叠加顺序。改进的分支定界法被证明可以确定好的层压板设计,并提供显著的效率节约。“好的设计”在这里被定义为通过最小化计算量来产生“接近全局最优”适应度值的解决方案。结果表明,对于不存在竞争的单目标,得到了全局最优解。
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引用次数: 4
Micro Hybridized Auto-rickshaw for Bangladesh: A Solution to Green Energy Vehicle 孟加拉微型混合机动人力车:绿色能源汽车的解决方案
Pub Date : 2018-05-23 DOI: 10.2174/1874155X01812010124
Avijit Mallik, Arman Arefin
Received: November 20, 2017 Revised: April 26, 2018 Accepted: April 27, 2018 Abstract: Background: Auto rickshaws are compact, three-wheeled vehicles which are normally used altogether in numerous Asian nations (i.e. China, Japan, Bangladesh, India, Pakistan and so forth) for transportation of people and products. The vehicles are little and have simple transportability in occupied Asian cities. In Bangladesh, auto rickshaws/simple bicycles regularly offer their taxi services, as they are fantastically reasonable to work. Simultaneously, these three-wheelers running on fuel cause extreme air-pollution and create impressive measures of greenhouse gasses (i.e. Carbon dioxide).
摘要:背景:机动人力车是一种紧凑的三轮交通工具,在许多亚洲国家(如中国、日本、孟加拉国、印度、巴基斯坦等)通常用于运送人员和货物。这些车辆很小,在被占领的亚洲城市具有简单的可运输性。在孟加拉国,机动人力车/简单的自行车经常提供出租车服务,因为它们非常合理。与此同时,这些使用燃料的三轮车造成了严重的空气污染,并产生了令人印象深刻的温室气体(即二氧化碳)。
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引用次数: 8
The Dynamics of One Way Coupling in a System of Nonlinear Mathieu Equations 非线性马蒂厄方程系统的单向耦合动力学
Pub Date : 2018-04-30 DOI: 10.2174/1874155X01812010108
Alexander Bernstein, R. Rand, R. Meller
RESEARCH ARTICLE The Dynamics of One Way Coupling in a System of Nonlinear Mathieu Equations Alexander Bernstein, Richard Rand and Robert Meller Center for Applied Mathematics, Cornell University, Ithaca, NY 14850, USA Dept. of Mathematics and Dept. of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY 14850, USA Cornell Lab for Accelerator-based Sciences and Education, Cornell University, Ithaca, NY 14850, USA
研究文章非线性马修方程系统中的单向耦合动力学亚历山大·伯恩斯坦,理查德·兰德和罗伯特·梅勒应用数学中心,伊萨卡,纽约州14850,美国康奈尔大学数学系和机械与航空航天工程系,伊萨卡,纽约州14850,美国康奈尔大学基于加速器的科学与教育实验室,伊萨卡,纽约州14850,美国
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引用次数: 2
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The Open Mechanical Engineering Journal
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