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Probabilistic HCF Life Estimation of a Mechanical Component 机械部件HCF寿命的概率估计
Pub Date : 2001-11-11 DOI: 10.1115/imece2001/pvp-25211
Murari P. Singh
Goodman Diagram method or similar methods are used to estimate safety of a mechanical structure under high cycle fatigue loading for any combination of alternating and mean stresses. Magnitude of the factor of safety (FS) indicates margin from nominal design capable of desired performance. The value of larger than one of FS is desired to account for uncertainty and variability in loads and material properties. This FS based on stress does not provide any direct knowledge about the life of the mechanical structure. A FS based on life can be derived and used in conjunction with Goodman concept. This method yields an estimate of FS based on life (FN) for a given stress based FS for any combination of alternating and mean stresses. A procedure is described in this paper that helps in estimating reliability of a mechanical structure. Reliability depends on the magnitude of stresses and material properties. Usually variability in load and in material properties can be quantified by a statistical distribution. Methods of probabilistic theories can be used to determine the influence of these variations on the reliability. The procedure utilizes established methods and theories to yield practical evaluation of reliability. First, the modified Goodman equation of factor of safety is combined with the life equation proposed by Jo Dean Morrow (Dowling, 1999). This provides a relationship between calculated factor of safeties based on stress and life. Finally, the developed equations are utilized in a probabilistic approach that incorporates statistical distribution of uncertainties. This procedure yields reliability assessment of a mechanical structure to perform an expected task.
古德曼图法或类似的方法用于估计机械结构在高周疲劳载荷下的任何交变应力和平均应力组合的安全性。安全系数(FS)的大小表示从标称设计能够达到期望性能的余量。大于FS的值需要考虑载荷和材料特性的不确定性和可变性。这种基于应力的FS不能提供有关机械结构寿命的任何直接知识。基于生活的金融系统可以与古德曼的概念结合使用。对于任意交替应力和平均应力的组合,该方法产生基于寿命(FN)的给定应力FS的估计。本文描述了一种评估机械结构可靠性的方法。可靠性取决于应力大小和材料性能。通常载荷和材料性能的变化可以用统计分布来量化。概率论的方法可以用来确定这些变化对可靠性的影响。该程序利用已建立的方法和理论对可靠性进行实际评估。首先,将修正后的Goodman安全系数方程与Jo Dean Morrow (Dowling, 1999)提出的寿命方程相结合。这提供了基于压力和寿命的计算安全系数之间的关系。最后,在包含不确定性统计分布的概率方法中利用所开发的方程。这个程序产生机械结构执行预期任务的可靠性评估。
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引用次数: 1
Semi-Analytical Modeling of Progressive Damage in Twill Woven Textile Composites 斜纹织物复合材料渐进损伤的半解析模型
Pub Date : 2001-11-11 DOI: 10.1115/imece2001/pvp-25212
P. Chaphalkar, Ajit O. Kelkar
Various alternative composite materials like, textile composites, especially woven, are being developed and tried in place of conventional multidirectional laminates, because they have better properties in mutually orthogonal directions and out of plane properties than the multidirectional laminates. In structural applications, predictions of the elastic modulii, Poisson’s ratios from the weave architecture and the properties of the constituents are required. There are various parameters that characterize the weave architecture of woven laminate composites. In repeated loading, the matrix cracking occurs, degrading matrix properties. This in turn degrades the effective properties of the woven composites. Analytical models are necessary to study the effects of these parameters on the behavior of woven fabric composites and to design efficient woven structure for particular application. The objective of the current paper is to study the effect of matrix cracking on the effective properties of the twill woven composites by degrading the matrix properties. First the effective properties of the composite material, without any matrix cracks, are determined by using an analytical model, which predicts the stiffness of the twill woven composites. This model takes into account effects of the actual fabric structure with various tow cross sections by considering tow undulations and continuity along both the fill and warp directions. In twill woven composites, there is a weaker matrix along with the stronger medium i.e. the glass fibers. The matrix first fails and then the load is transferred to the fibers. The matrix properties are degraded in the resin pockets and also in the transverse tows only. This is because normally matrix cracking first occurs in the transverse tows (cracks originate in the tows that run in the transverse direction to the loading). The degradation of the properties includes the Young’s Modulus and the Poisson’s ratio of the resin. With these modified properties of the resin, the homogeneous properties of the transverse tows are calculated. At each degradation step the effective properties of the composite material are evaluated. This progressive failure is continued till the matrix loses most of its strength.
各种替代复合材料,如纺织复合材料,特别是机织复合材料,正在开发和尝试取代传统的多向层压板,因为它们在相互正交方向上具有比多向层压板更好的性能和面外性能。在结构应用中,需要从编织结构和成分的性质中预测弹性模量、泊松比。有各种参数表征编织层压复合材料的组织结构。在重复加载过程中,基体发生开裂,使基体性能下降。这反过来又降低了编织复合材料的有效性能。分析模型对于研究这些参数对机织复合材料性能的影响以及设计适合特定应用的高效机织结构是必要的。本文的目的是通过降低基体性能来研究基体开裂对斜纹织物复合材料有效性能的影响。首先利用解析模型确定了斜纹织物复合材料在不存在基体裂纹的情况下的有效性能,并预测了斜纹织物复合材料的刚度。该模型考虑了纤维束在纬纱和经纱方向上的波动和连续性,考虑了不同纤维束横截面对实际织物结构的影响。在斜纹布复合材料中,存在较弱的基体和较强的介质,即玻璃纤维。基体首先失效,然后负荷转移到纤维上。基体性能在树脂袋和横向束中都有退化。这是因为通常情况下,基质开裂首先发生在横向拖曳中(裂缝起源于与载荷横向运行的拖曳)。性能的退化包括树脂的杨氏模量和泊松比。利用这些改性树脂的性能,计算了横向束的均匀性。在每个降解步骤中,对复合材料的有效性能进行了评价。这种渐进的破坏一直持续到基体失去大部分强度为止。
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引用次数: 1
Material Considerations in Optimization of Machine Tool Structure 机床结构优化中的材料考虑
Pub Date : 2001-11-11 DOI: 10.1115/imece2001/pvp-25216
E. Kushnir, M. R. Patel, T. Sheehan
The three most popular choices currently used for the main structural components of machine tools are steel weldments, metal (cast iron) castings and polymer composites. Among the three, polymer composite offers the highest vibration damping and the lowest thermal conductivity. All three approaches have been employed in the design of machine tools to meet the criteria for required rigidity, impact resistance and vibration damping. The final choice is also affected by additional factors including cost footprint (space) requirements and lead times. For most production applications of machine tool structures, (gray cast iron) metal castings remain the primary choice because of cost, ease of sourcing, good damping with relatively high strength, good machinability and well-established and consistently achievable manufacturing and processing requirements. However, fabrications are normally the preferred choice for low volume production of large structures, due mainly to the high up-front molding costs and the difficulties in process control inherent in very large castings. On the other hand, with increasing, emphasis on high speed machining, hard turning, and better and consistent machining accuracies, structural rigidity, thermal stability and vibration damping are becoming major design considerations making polymer composites a leading choice. For this reason, Hardinge Inc., a super precision machine tool builder has traditionally used its proprietary polymer composite (Harcrete®) in its lathe, grinder and machining center bases. Depending on the performance and cost requirements, the base can be all composite or a combination of conventional casting strategically reinforced with composite. With the current market forces and ever increasing competition in the industry, for most machines, value engineering has become a prominent factor. A major consideration is to identify the materials and designs that would provide the best performance of the machine while minimizing the cost. Therefore, new sets of evaluation criteria are necessary to arrive at designs with optimum cumulative impact on various technical, commercial and strategic requirements. This paper proposes such new criteria and examines their suitability based on testing and analyses of structural components in today’s demanding real-world machine tool applications.
目前用于机床主要结构部件的三种最流行的选择是钢焊接件,金属(铸铁)铸件和聚合物复合材料。在这三种材料中,聚合物复合材料具有最高的减振性能和最低的导热性。这三种方法都被用于机床的设计,以满足要求的刚度、抗冲击性和减振性的标准。最终选择还受到其他因素的影响,包括成本足迹(空间)需求和交货时间。对于大多数机床结构的生产应用,(灰铸铁)金属铸件仍然是主要的选择,因为成本低,易于采购,具有相对较高的强度,良好的阻尼,良好的可加工性以及完善且始终可实现的制造和加工要求。然而,对于大型结构的小批量生产,制造通常是首选,这主要是由于高昂的前期成型成本和非常大的铸件固有的过程控制困难。另一方面,随着对高速加工、硬车削以及更好和一致的加工精度的日益重视,结构刚度、热稳定性和减振成为主要的设计考虑因素,使聚合物复合材料成为首选。因此,超精密机床制造商哈定公司传统上在其车床,磨床和加工中心基地中使用其专有的聚合物复合材料(Harcrete®)。根据性能和成本要求,底座可以是全复合材料,也可以是常规铸件的复合材料的组合。随着当前的市场力量和日益激烈的行业竞争,对于大多数机器,价值工程已成为一个突出的因素。一个主要的考虑是确定材料和设计,将提供机器的最佳性能,同时最大限度地降低成本。因此,需要一套新的评价标准,以达到对各种技术、商业和战略要求具有最佳累积影响的设计。本文提出了这样的新标准,并检查其适用性基于测试和分析的结构部件在当今苛刻的现实世界的机床应用。
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引用次数: 12
Corrosion Resistance of Structural Steel Processed Using Electro-Plasma Methods 电等离子体法处理结构钢的耐腐蚀性能
Pub Date : 2001-11-11 DOI: 10.1115/imece2001/pvp-25215
P. Schilling, P. Herrington
Electro-plasma cleaning and deposition is a recently developed electrolytic method for cleaning mill scale and other debris from steel surfaces, and depositing protective metal coatings. Structural steel was processed using these methods and tested for corrosion resistance. Samples included freshly cleaned steel coupons and samples coated with a metallic zinc layer. Tests included linear polarization resistance, QUV weathering, salt fog exposure, and electrochemical impedance spectroscopy. Steel samples cleaned by electro-plasma methods exhibited superior corrosion resistance to those cleaned by shot-blasting. The zinc metal coatings demonstrated potential for long-term corrosion protection.
电等离子体清洗和沉积是最近发展起来的一种电解方法,用于清除钢表面的磨屑和其他碎屑,并沉积保护性金属涂层。用这些方法对结构钢进行了加工,并进行了耐腐蚀试验。样品包括刚清洗过的钢券和涂有金属锌层的样品。测试包括线性极化电阻、QUV风化、盐雾暴露和电化学阻抗谱。用电等离子体法清洗的钢样品比喷丸法清洗的钢样品具有更好的耐腐蚀性。锌金属涂层具有长期防腐的潜力。
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引用次数: 0
Laying Modeling of Submarine Pipelines Using Contact Elements Into a Corotational Formulation 基于接触单元的海底管道铺设建模
Pub Date : 2001-11-11 DOI: 10.1115/1.1555117
Cora E. Martínez, Raúl Goncalves
A new finite element formulation to analyze stresses and displacements in submarine pipelines during laying operations is presented in this paper. The method is based on the corotational formulation using Bernoulli non-linear beam elements to model the large displacements and rotations of the pipeline. The penalty method is used with spring-contact elements to accurately represent the actual boundary conditions. During the lay barge installation, the pipe rolls over the barge ramp and slides over the stinger before reaching the sea floor. The barge stinger is a ramp over floating supports that holds the pipeline in such a way that the pipe adopts an S-curve during the laying process. Since contact elements allow the pipeline to separate from the stinger at those points where the contact is lost, introducing these elements into the analysis makes it possible to accurately model the actual boundary conditions on the stinger. In addition, the use of contact elements allows the pipe to reach the sea floor at all those points, which naturally require this condition without imposing any displacement boundary condition during the convergence process. A real laying case of an oil transportation submarine pipeline is presented at the end of the paper to validate the results obtained with the developed formulation. A comparison with a finite element formulation introduced by the authors in a previous paper is also presented in order to verify the accuracy and computational effectiveness of the proposed method.
本文提出了一种新的分析海底管道铺设过程中应力和位移的有限元公式。该方法基于旋转公式,利用伯努利非线性梁单元来模拟管道的大位移和旋转。采用罚元法与弹簧接触单元结合,可以准确地表示实际边界条件。在铺设驳船安装过程中,管道在驳船斜坡上滚动,在到达海底之前滑过推力杆。驳船推力杆是浮式支架上的一个斜坡,在铺设过程中,它以s曲线的方式固定管道。由于接触元件允许管道在失去接触的地方与推力杆分离,因此将这些元件引入分析可以准确地模拟推力杆的实际边界条件。此外,接触单元的使用允许管道在所有这些点到达海底,这自然需要这个条件,而不需要在收敛过程中施加任何位移边界条件。最后给出了海底输油管道的实际敷设实例,验证了所建公式的正确性。为了验证所提出方法的准确性和计算效率,还与作者在以前的论文中介绍的有限元公式进行了比较。
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引用次数: 7
Biodynamics of Human Thorax With Body Armors Subject to Bullet Impact 子弹冲击下人体胸甲的生物动力学研究
Pub Date : 2001-11-11 DOI: 10.1115/imece2001/pvp-25206
Y. W. Kwon, J. A. Lobuono
The objective of this study is to develop a finite element model of the human thorax with a protective body armor system so that the model can adequately determine the thorax’s biodynamical response from a projectile impact. The finite element model of the human thorax consists of the thoracic skeleton, heart, lungs, major arteries, major veins, trachea, and bronchi. The finite element model of the human thorax is validated by comparing the model’s results to experimental data obtained from cadavers wearing a protective body armor system undergoing a projectile impact.
本研究的目的是建立一个具有保护性防弹衣系统的人体胸腔的有限元模型,以便该模型能够充分确定弹丸撞击时胸腔的生物动力学响应。人体胸腔的有限元模型由胸骨、心脏、肺、大动脉、大静脉、气管和支气管组成。通过将人体胸腔有限元模型的计算结果与穿着防弹衣系统的尸体在弹丸冲击下的实验数据进行比较,验证了人体胸腔有限元模型的有效性。
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引用次数: 0
The Effect of Precipitation Aging on the Mechanical Behavior and Microstructure of Aluminum-Lithium Alloys 沉淀时效对铝锂合金力学行为和组织的影响
Pub Date : 2001-11-11 DOI: 10.1115/imece2001/pvp-25208
J. Fragomeni
The effect of variations in microstructure as a consequence of heat treating and aging on the mechanical properties of aluminum-lithium alloys was studied. The thermal treatments and composition were correlated to the microstructure and subsequent mechanical behavior of aluminum-lithium and aluminum-lithium-copper alloys that were solution heat treated and artificially aged for a series of aging times and temperatures. The underaged, peak-aged, and overaged thermal heat treatments were considered in determining the effect of the microstructure and processing on the mechanical properties. Standard ASTM tensile testing of the alloys was performed to determine mechanical properties such as yield strength, ductility, and ultimate tensile strength. Quantitative microscopy of the intermetallic precipitates was performed to related the measured deformation behavior to the microstructural features. Thus, the intermetallic precipitates in the microstructure which impede dislocation motion and control the precipitation strengthening response as a function of aging practice were measured by quantitative methods, and are the basis for controlling the mechanical behavior depending on their size distribution, average size, and interparticle spacing. The microstructure was studied, and measurements were made to determine the size, distribution, and morphology for the intermetallic strengthening precipitates as a function of the processing and composition. For the aluminum-lithium alloys studied, the primary strengthening was a direct consequence of ordered coherent Al3Li intermetallic precipitates which were uniformly distributed throughout the microstructure, which restricted the glide motion of dislocations during plastic deformation.
研究了热处理和时效引起的组织变化对铝锂合金力学性能的影响。热处理工艺和成分与固溶热处理后的铝锂合金和铝锂铜合金的显微组织和随后的力学行为相关。在确定组织和工艺对力学性能的影响时,考虑了欠时效、峰时效和过时效热处理。对合金进行标准的ASTM拉伸试验,以确定屈服强度、延展性和极限拉伸强度等机械性能。对金属间相进行了定量显微观察,将测量到的变形行为与显微组织特征联系起来。因此,通过定量方法测量了组织中阻碍位错运动和控制析出强化响应的金属间相,并根据它们的尺寸分布、平均尺寸和粒间间距来控制力学行为。研究了显微组织,并进行了测量,以确定金属间强化相的大小、分布和形态,作为加工和成分的函数。对于所研究的铝锂合金,初次强化是有序的Al3Li金属间相的直接结果,这些相均匀分布在整个组织中,限制了塑性变形过程中位错的滑动运动。
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引用次数: 0
Estimating the Initial Crack Size in a Particulate Composite Material: An Analytical and Experimental Approach 颗粒复合材料初始裂纹尺寸的估算:一种分析与实验方法
Pub Date : 2001-10-11 DOI: 10.1115/imece2001/pvp-25202
C. Liu
In this study, a technique to predict the equivalent initial crack size (EICS) in a particulate composite material, containing hard particles embedded in a rubber matrix, was developed using constant strain rate crack propagation test data. The accuracy of the developed technique was determined. In addition, the statistical distribution of the equivalent initial crack size follows the second asymptotic distribution of maximum value.
在本研究中,利用恒应变速率裂纹扩展试验数据,开发了一种预测含有硬颗粒嵌入橡胶基体的颗粒复合材料等效初始裂纹尺寸(EICS)的技术。确定了所开发技术的准确性。等效初始裂纹尺寸的统计分布遵循最大值的第二次渐近分布。
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引用次数: 0
Stress Intensity Factors and Paths for Cracks in Photoelastic Motor Grain Models Under Internal Pressure 内压作用下光弹性马达颗粒模型裂纹的应力强度因子及路径
Pub Date : 2001-04-20 DOI: 10.1115/imece2001/pvp-25200
C. Smith, D. Constantinescu, C. Liu
Computational analysis and two-dimensional tensile tests on single motor grain fins suggest that cracks in fin tips are most likely to originate at the coalescence of a fin end tip radius, with a small radius from the side of the fin. Some manufacturers have also noticed defects formed during casting at the fin tip on the fin axis. The following is an experimental investigation utilizing frozen stress photoelastic models of an existing motor grain geometry in order to clarify stress intensity factor (SIF) values and crack growth paths for cracks emanating from the two above-noted potential critical loci. Comparisons between results from cracks grown from the two loci will be made, suggesting interesting conclusions.
计算分析和二维拉伸试验表明,鳍尖裂纹最可能起源于鳍端尖半径的接合处,距离鳍的侧面半径很小。一些制造商也注意到,在铸造过程中,鳍尖在鳍轴上形成缺陷。下面是一项利用现有运动晶粒几何形状的冻结应力光弹性模型的实验研究,目的是澄清应力强度因子(SIF)值和裂纹扩展路径,这些裂纹来自上述两个潜在的临界位置。将对两个基因座产生的裂缝的结果进行比较,得出有趣的结论。
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引用次数: 2
Modeling of Hydrostatic Pressure Effect on Progressive Damage in Particulate Composites 静水压力对颗粒复合材料进行性损伤影响的模拟
Pub Date : 2000-11-05 DOI: 10.1115/imece2000-1249
Y. W. Kwon, C. Liu
Hydrostatic pressure affects the damage growth in a particulate composite. As a result, an analytical model was presented to represent the damage growth in a particulate composite under various hydrostatic pressures. The model was based on a multi-level approach with damage description at the micro-level. A damage theory was presented to describe the material behavior under hydrostatic pressure. The predicted stress-strain curves compared well with the experimental measurements. Furthermore, the initial crack size at a notch tip was studied with and without hydrostatic pressure.
静水压力影响颗粒复合材料的损伤扩展。为此,提出了一种描述颗粒复合材料在不同静水压力下损伤扩展的解析模型。该模型基于多级方法,在微观层面上进行损伤描述。提出了一种描述材料在静水压力作用下的损伤理论。预测的应力-应变曲线与实验结果吻合较好。此外,还研究了有静水压力和无静水压力条件下缺口尖端的初始裂纹尺寸。
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引用次数: 0
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