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Algebraic multigrid methods for dual mortar finite element formulations in contact mechanics 下载免费PDF全文
T. A. Wiesner A. Popp M. W. Gee W. A. Wall 《International journal for numerical methods in engineering》2018,114(4):399-430
This paper proposes novel strategies to enable multigrid preconditioners within iterative solvers for linear systems arising from contact problems based on mortar finite element formulations. The so‐called dual mortar approach that is exclusively employed here allows for an easy condensation of the discrete Lagrange multipliers. Therefore, it has the advantage over standard mortar methods that linear systems with a saddle‐point structure are avoided, which generally require special preconditioning techniques. However, even with the dual mortar approach, the resulting linear systems turn out to be hard to solve using iterative linear solvers. A basic analysis of the mathematical properties of the linear operators reveals why the naive application of standard iterative solvers shows instabilities and provides new insights of how contact modeling affects the corresponding linear systems. This information is used to develop new strategies that make multigrid methods efficient preconditioners for the class of contact problems based on dual mortar methods. It is worth mentioning that these strategies primarily adapt the input of the multigrid preconditioners in a way that no contact‐specific enhancements are necessary in the multigrid algorithms. This makes the implementation comparably easy. With the proposed method, we are able to solve large contact problems, which is an important step toward the application of dual mortar–based contact formulations in the industry. Numerical results are presented illustrating the performance of the presented algebraic multigrid method. 相似文献
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通过介绍作者在工作中使用多项式拟合进行接收机频响补偿并取得的良好效果,说明多项式拟合是一种非常有用的工具。 相似文献
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Practical Considerations for Estimating Road Vehicle Frequency Response Functions from Response Data 下载免费PDF全文
This paper describes the application of a practical method to estimate the dynamic characteristics (frequency response function) of road vehicles using only on‐the‐road vertical vibration response data measured during nominally constant operating speeds. While several methods exist to estimate these dynamic characteristics, they are generally either inexact or prohibitively resource intensive. A review of two analytical approaches for estimating the frequency response function of road vehicles using only on‐the‐road vibration response data is presented. The first approach is based on the assumption that the road elevation profile takes the form of a specified spectral function. The second approach is based on the random decrement technique. A practical, step‐by‐step guide to undertaking on‐the‐road vehicle vibration measurements is included and provides numerous useful tips and considerations that should be taken into account. An investigation was also undertaken into the minimum record length (i.e. fraction of road length) required to accurately estimate the dynamic characteristics of road vehicles using a Monte Carlo simulation. From the study, it was found that a minimum road length of 10 – 15 km is sufficient to obtain a reasonably accurate estimate. Copyright © 2017 John Wiley & Sons, Ltd. 相似文献
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本文详细分析了现有输入噪声模型和输出噪声模型的抗噪声原理,提出了一种能同时抑制输入噪声和输出噪声的无偏差估计模型,它利用二次互功率谱代替通常估计中的自功率谱。使得由于噪声引起的误差可以通过多次平均完全消除。新估计模型的精度与输入噪声和输出噪声的水平无关,仅与统计次数有关。在输入、输出噪声不相关条件下,即使相干函数很低仍能通过多次平均获得具有足够精度的频响函数值。文章最后给出了不同噪声干扰下的(?)估计值、(?)估计值以及本文模型的(?)估计值,并与没有噪声干扰下的H_o 值进行比较。 相似文献
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关于结构高频响应分析中有限元网格划分的细化标准 总被引:7,自引:2,他引:7
本文以周边简支方板在随机面分布力作用下振动加速度响应分析为例,用MSC/NASTRAN有限元软件研究了0-1000Hz和0-2000Hz频率范围内结构模态数和振动加速度响应均方根值随单元大小的变化规律,与解析法结合验证了由波动理论导出的单元细化标准。作为补充提出了结构模态数的单元细化标准。用相同方法对简支圆筒壳体在随机外压作用下1000-2000Hz频率范围内的加速度响应做了研究,本文提出的单元细化标准进一步得到验证。 相似文献
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《钢弹簧浮置板轨道结构在不同频段的隔振效率》 总被引:3,自引:0,他引:3
建立了连续的三维钢弹簧浮置板轨道结构的动力传递特性有限元分析模型,针对不同设计参数和激振频率,研究了该轨道结构的动力传递特性和隔振效率。计算结果表明,所采用的方法可详细解剖浮置板相关设计参数对隔振效率的影响。 相似文献