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基于LuGre摩擦模型和线性互补问题(LCP)的数值算法,给出了具有双边约束含摩擦滑移铰平面多体系统动力学的数值算法.首先,根据滑移铰的特点,当间隙充分小时,将其视为双边约束,给出了滑移铰中滑道作用于滑块上的法向接触力的互补关系;LuGre摩擦模型能有效地描述机械系统中的黏滞与滑移运动,将该模型用于描述滑块与滑道间的摩擦力.其次,结合Baumgarte约束稳定化方法,应用第一类Lagrange方程,建立了该多体系统的动力学方程,给出了Lagrange乘子与滑移铰中作用于滑块上的法向接触力的关系式.然后,将滑块与滑道间多种接触状态的判断以及作用于滑块上的法向接触力的计算转换为线性互补问题的求解,并用常微分方程的数值算法求解该多体系统的动力学方程.最后,通过数值仿真算例揭示了滑移铰中滑块的黏滞与滑移现象,以及滑块在滑道内的多种接触状态;另外,在文中分别采用Coulomb干摩擦模型和LuGre摩擦模型,对算例中的某些工况进行了数值仿真,并且分别用本文方法得到的数值仿真结果与已有方法得到的数值仿真结果对比,表明了本文给出的方法的有效性. 相似文献
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传统的格子玻尔兹曼方法 (LBM),特别是基于均匀正方形网格的经典单松弛计算模型(SLBM),其算法鲁棒性和数值稳定性较差,限制了LBM的发展和应用.而网格细化策略可以有效缓解这一窘境,但是传统LBM中网格细化必然会导致计算效率骤降,计算设备要求攀高.为了解决这一问题,文章基于非均匀矩形网格结构,结合插值LBM算法的思路,在保证物面处和流动变化剧烈区域的局部网格细化以及计算精度的前提下,提出了25点拉格朗日插值LBM算法.以经典顶盖驱动方腔内流为算例,开展了包括不同网格分辨率和插值格式的对比分析研究.验证算例既包括了定常流动的数值模拟,也涉及了非定常周期性流动的求解.计算结果表明,相较于其他插值格式,拉格朗日插值格式表现优异;文章局部网格细化工作可以确保物面处及流动变化剧烈区域流动细节的捕捉;数值模拟算法可以为数值仿真提供可信的计算结果;同时大幅降低了总网格数量.因此很大程度上提升了计算效率;数值模拟方法鲁棒性较好,适用于包括定常和非定常流动的数值模拟. 相似文献
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提出一种新的网格自适应方法:在需要加密的网格单元中心加入新结点,并对加密后的相邻
三角形网格单元进行公共边变换, 构成新的网格单元. 与传统的在网格边界中点加入新节点的自
适应方法相比,新方法可以更加灵活地控制网格密度,加密后的网格继承原先的网格质量不
发生畸变,并且算法编程简便,容易实现. 将自适应网格生成方法和基于特征线方程的分离
算法相结合,对空腔内不可压缩黏性流动进行了计算. 在特征线方向上进行时间步离散,动
量方程求解过程中采用非增量型分离算法. 计算中,把求解变量梯度值作为判定准则,在
变化剧烈的区域进行网格局部加密. 计算结果表明该组合算法有很好的计算精度,并有效减
少了计算时间和存储量. 相似文献
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《Acta Mechanica Sinica》2014,(6)
正http://www.icfm7.org First Announcement and Call for PapersThe objective of International Conference on Fluid Mechanics(ICFM)is to provide a forum for researchers to exchange new ideas and recent advances in the fields of theoretical,experimental,computational Fluid Mechanics as well as interdisciplinary subjects.It was successfully convened by the Chinese Society of Theoretical and Applied Mechanics(CSTAM)in Beijing(1987, 相似文献
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《Acta Mechanica Solida Sinica》2014,(5):F0003-F0003
Contributions: The Journal, Acta Mechanica Solida Sinica, is pleased to receive papers from engineers and scientists working in various aspects of solid mechanics. All contributions are subject to critical review prior to acceptance and publication. 相似文献
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Yulong Ding Qingshan Zhu 《中国颗粒学报》2008,6(1):1-1
This special issue of PARTICUOLOGY is devoted to the first UK-China Particle Technology Forum taking place in Leeds, UK, on 1-3 April 2007. The forum was initiated by a number of UK and Chinese leading academics and organised by the University of Leeds in collaboration with Chinese Society of Particuology, Particle Technology Subject Group (PTSG) of the Institution of Chemical Engineers (IChemE), Particle Characterisation Interest Group (PCIG) of the Royal Society of Chemistry (RSC) and International Fine Particle Research Institute (IFPRI). The forum was supported financially by the Engineering and Physics Sciences Research Council (EPSRC) of United Kingdom, 相似文献
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针对捷联导引头无法直接获取视线角速度等信息的问题,研究了鲁棒滤波在大气层外飞行器捷联导引头视线角速度估计中的应用。为了建立非线性滤波估计模型,考虑目标视线角速度的慢变特性,采用一阶马尔科夫模型建立了状态方程;推导了视线角速度的解耦模型,并建立了量测方程;考虑到实际应用中存在系统噪声统计特性失准的问题,基于Huber-Based鲁棒滤波方法,设计了视线角速度滤波器,并完成了基于Huber-Based滤波方法和扩展卡尔曼滤波方法的数学仿真。仿真结果表明Huber-Based滤波方法的视线角、视线角速度及视线角加速度估计精度分别达到0.1140'、0.1423'/s、0.0203'/s2,而扩展卡尔曼滤波方法的视线角、视线角速度及视线角加速度估计精度仅分别为0.6577'、0.6415'/s、0.0979'/s~2。仿真结果证明了该方法可以有效地估计出相对视线角速度等信息,并且在非高斯噪声的条件下,依然可获得较高的估计精度,具有一定的鲁棒性。 相似文献
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《Acta Mechanica Sinica》2014,(3):F0003-F0003
正Each of the sections below provides essential information for authors.We recommend that you take the time to read them before submitting a contribution to Acta Mechanica Sinica.We hope our guide to authors may help you navigate to the appropriate section.How to prepare a submission This document provides an outline of the editorial process involved in publishing a scientific paper in Acta Mechanica 相似文献
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G.C. Sih 《Theoretical and Applied Fracture Mechanics》2010,53(2):94-112
Multiscale material intends to enhance the strength and life of mechanical systems by matching the transmitted spatiotemporal energy distribution to the constituents at the different scale, say—macro, micro, nano, and pico,—, depending on the needs. Lower scale entities are, particularly, critical to small size systems. Large structures are less sensitive to microscopic effects. Scale shifting laws will be developed for relating test data from nano-, micro-, and macro-specimens. The benefit of reinforcement at the lower scale constituents needs to be justified at the macroscopic scale. Filling the void and space in regions of high energy density is considered.Material inhomogeneity interacts with specimen size. Their combined effect is non-equilibrium. Energy exchange between the environment and specimen becomes increasingly more significant as the specimen size is reduced. Perturbation of the operational conditions can further aggravate the situation. Scale transitional functions and/or fj/j+1 are introduced to quantify these characteristics. They are represented, respectively, by , and (fmi/ma,fna/mi,fpi/na). The abbreviations pi, na, mi, and ma refer to pico, nano, micro and macro.Local damage is assumed to initiate at a small scale, grows to a larger scale, and terminate at an even larger scale. The mechanism of energy absorption and dissipation will be introduced to develop a consistent book keeping system. Compaction of mass density for constituents of size 10−12, 10−9, 10−6, 10−3 m, will be considered. Energy dissipation at all scales must be accounted for. Dissipations at the smaller scale must not only be included but they must abide by the same physical and mathematical interpretation, in order to avoid inconsistencies when making connections with those at the larger scale where dissipations are eminent.Three fundamental Problems I, II, and III are stated. They correspond to the commonly used service conditions. Reference is made to a Representative Tip (RT), the location where energy absorption and dissipation takes place. The RT can be a crack tip or a particle. At the larger size scales, RT can refer to a region. Scale shifting of results from the very small to the very large is needed to identify the benefit of using multiscale materials. 相似文献