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解Stiff常微分方程的精确指数拟合法 被引量:4
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作者 吴新元 《南京大学学报(自然科学版)》 CAS CSCD 1997年第1期1-6,共6页
提出解Stif方程的精确指数拟合法。一个数值方法称为精确指数拟合法,如果将它用于试验方程y=λy,Re(λ)<0所得到的数值解对一切λ(Reλ<0)都是精确的。显然,精确指数拟合法的要求比Liniger和Wilou... 提出解Stif方程的精确指数拟合法。一个数值方法称为精确指数拟合法,如果将它用于试验方程y=λy,Re(λ)<0所得到的数值解对一切λ(Reλ<0)都是精确的。显然,精确指数拟合法的要求比Liniger和Wiloughby[1]提出的指数拟合法更强。此外,我们建立解Stif方程的E稳定概念:一个单步方法说成是E稳定的,如果将它用于试验方程y=λy,Re(λ)<0时的数值解满足yn+1/yn=eλh,可见精确指数拟合法一定是E稳定的。又由E稳定可推出L稳定性和A稳定性。从而精确指数拟合法一定是E稳定的L稳定的和A稳定的。根据Stif方程解的特征,我们在积分区间的每个部分区间〔tn,tn+1〕上局部地用形如I(t)=AeBt或I(t)=A+BeCt的指数型函数来逼近微分方程的解y(t)。 展开更多
关键词 stiff方程 数值分析 常微分方程 指数拟合法
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偏心环空中Robertson-Stiff流体的波动压力计算模型 被引量:2
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作者 李琪 王再兴 +1 位作者 王耀稼 艾二鑫 《西安石油大学学报(自然科学版)》 CAS 北大核心 2016年第3期86-91,121,共7页
用窄槽流动模型模拟流体在偏心环空中的流动,结合流体流动的控制方程和Robertson-Stiff流体的流变方程,建立了稳态层流条件下的波动压力计算模型。利用自适应的辛普森积分法对其进行了数值求解,并对波动压力的影响因素进行了分析。结果... 用窄槽流动模型模拟流体在偏心环空中的流动,结合流体流动的控制方程和Robertson-Stiff流体的流变方程,建立了稳态层流条件下的波动压力计算模型。利用自适应的辛普森积分法对其进行了数值求解,并对波动压力的影响因素进行了分析。结果表明,建立的Robertson-Stiff流体在偏心环空中的波动压力计算模型预测结果准确,采用的数值求解方法精度高,与已有的偏心环空波动压力计算模型结果对比误差在10%以内;在井眼环空处于完全偏心的情况下,波动压力梯度降低为同心环空的50%左右;当流性指数和管柱井眼尺寸比较大时,要对起下钻的速度严格限制。 展开更多
关键词 波动压力 Robertson-stiff流体 偏心环空 窄槽流动模型 辛普森积分法
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液压系统Stiff隐式状态方程的数值解法 被引量:1
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作者 陈义华 姬孝斌 +1 位作者 钟孟光 许仰曾 《甘肃工业大学学报》 1991年第3期20-27,共8页
本文论述了液压系统模块式建模法中隐式状态方程的Stiff问题和数值解法,计算了含有稳定参数s的四阶Runge-Kutta型公式的绝对稳定区间,通过实例检验表明直接代数解法具有稳定可靠、精度高等优点。采用含稳定参数s的Runge-Kutta法的直接... 本文论述了液压系统模块式建模法中隐式状态方程的Stiff问题和数值解法,计算了含有稳定参数s的四阶Runge-Kutta型公式的绝对稳定区间,通过实例检验表明直接代数解法具有稳定可靠、精度高等优点。采用含稳定参数s的Runge-Kutta法的直接代数解法是解决液压仿真中Stiff问题的可行途径。 展开更多
关键词 液压系统 stiff问题 隐式状态方程
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网络环境中STIFF系统动态仿真的多帧速并行算法
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作者 杨晨 张雨英 高清 《系统仿真学报》 CAS CSCD 北大核心 2009年第10期2819-2823,共5页
提出了一种在通用网络环境下对大规模刚性(Stiff)系统进行动态仿真的多帧速并行算法。该算法以一个松耦合的微机组成的常规计算网络为计算平台,将大系统分解为若干个子系统,一台计算机执行一个子系统的仿真,通过有效的通讯策略和同步机... 提出了一种在通用网络环境下对大规模刚性(Stiff)系统进行动态仿真的多帧速并行算法。该算法以一个松耦合的微机组成的常规计算网络为计算平台,将大系统分解为若干个子系统,一台计算机执行一个子系统的仿真,通过有效的通讯策略和同步机制实现并行仿真。仿真时每一个子系统可采用各自的积分步长,并可根据不同子系统的性质采用不同的数值积分方法。仿真实例表明该算法具有较高的精度和可靠性,能够实现大规模复杂系统的动态仿真。 展开更多
关键词 动态仿真 stiff系统 多帧速算法 并行仿真
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解常微分方程初值问题的K步k+1阶线性多步公式集及其stiff稳定性
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作者 吴新元 吴宏伟 《南京大学学报(自然科学版)》 CAS CSCD 1990年第2期336-347,共12页
本文利用算子方法导出了一般的k步k+1阶线性多步公式集其中的系数β_i及误差系数C_(k+2)可以表示为α_i的函数(i=0,1,2,…,k):从而可以方便地构造出满足稳定性要求的任意k步k+1阶线性多步公式,并同时给出它的误差系数。是否存在k步k+1阶... 本文利用算子方法导出了一般的k步k+1阶线性多步公式集其中的系数β_i及误差系数C_(k+2)可以表示为α_i的函数(i=0,1,2,…,k):从而可以方便地构造出满足稳定性要求的任意k步k+1阶线性多步公式,并同时给出它的误差系数。是否存在k步k+1阶stiff稳定的线性多步公式?,对于k=1,2,3的情形,本文作出了论证,答案是否定的。 展开更多
关键词 常微分方程 线性多步法 stiff 稳定性
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具有高精度大稳定域的二阶导数方法及其stiff稳定性
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作者 吴新元 《南京大学学报(自然科学版)》 CAS CSCD 1991年第4期791-803,共13页
1974年Enright^1提出并构造了一类含二阶导数项的k步k+2阶stiff稳定的多步方法。之后,一些作者在增大稳定域及提高精确度方面做了一些有益的工作。本文将对这类方法作一系统研究,在建立一些理论结果的同时,构造了一类k步2k+1阶或k步2k阶... 1974年Enright^1提出并构造了一类含二阶导数项的k步k+2阶stiff稳定的多步方法。之后,一些作者在增大稳定域及提高精确度方面做了一些有益的工作。本文将对这类方法作一系统研究,在建立一些理论结果的同时,构造了一类k步2k+1阶或k步2k阶的stiff稳定的二阶导数方法,这些方法的稳定域比同阶的Enright方法大,从而更为适合于求解stiff方程。 展开更多
关键词 stiff方程组 数值分析 二阶导数法
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毛细压差对Robertson-Stiff流体启动压力梯度的影响研究
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作者 员美娟 《华中师范大学学报(自然科学版)》 CAS 北大核心 2014年第1期46-48,52,共4页
运用Robertson-Stiff(RS)型非牛顿流体理论研究了石油钻井和完井过程中钻井液和水泥浆在多孔介质中的渗流特性.针对毛细压差的影响,运用分形几何理论建立了RS流体的启动压力梯度的解析模型,模型表示为流体特性参数、介质结构参数和压降... 运用Robertson-Stiff(RS)型非牛顿流体理论研究了石油钻井和完井过程中钻井液和水泥浆在多孔介质中的渗流特性.针对毛细压差的影响,运用分形几何理论建立了RS流体的启动压力梯度的解析模型,模型表示为流体特性参数、介质结构参数和压降的函数.运用模型分析了毛细压差对启动压力梯度的影响表明,对于低孔隙度多孔介质,毛细压差的影响不能忽略.RS流体分形模型的建立为研究宾汉姆、幂律和牛顿流体提供了便利. 展开更多
关键词 分形 多孔介质 Robertson-stiff流体 启动压力梯度 毛细压差
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An Adaptive Simulation Algorithm Based on Fuzzy Stiffness Recognition and Its Application to Power Station Simulation 被引量:1
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作者 Wang Ruifang Automation Department, Chongqing University, 630044, P. R. China Chen Rui Research and Training Center of Locomotive Driving Simulation, Southwest Jiaotong University, Chengdu, P. R. China Xu Song Automation Department, Chongqi 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 1998年第1期78-82,共5页
The adaptive simulation algorithm (ASA) based on stiffness recognition is an effective and applicable simulation method. In this paper, a principle of the said method is briefly introduced and more importance is stres... The adaptive simulation algorithm (ASA) based on stiffness recognition is an effective and applicable simulation method. In this paper, a principle of the said method is briefly introduced and more importance is stressed in studying the value of its application by realizing it in MMS. 展开更多
关键词 stiff system Simulation algorithm ADAPTIVE Power station simulation Fuzzy stiffness recognition.
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求解stiff常微分方程的二阶导数多步方法 被引量:1
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作者 徐洪义 吴新元 《南京大学学报(自然科学版)》 CAS CSCD 1990年第2期187-195,共9页
本文给出含有二阶导数k步k+2阶的方法,其系数表达式是容易在计算机生成的。文中还构造出一类stiff稳定的含有二阶导数的多步方法,它们与文[1]、[2]中所述方法相比较,改进了方法的稳定性。这些方法适合求解stiff方程。
关键词 stiff方程 二阶导数 多步法 稳定性
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Experimental study and analysis on fatigue stiffness of RC beams strengthened with CFRP and steel plate 被引量:13
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作者 卢亦焱 胡玲 +1 位作者 李杉 王康昊 《Journal of Central South University》 SCIE EI CAS CSCD 2016年第3期701-707,共7页
The objective of this work is to investigate the fatigue behavior of reinforced concrete(RC) beams strengthened with externally bonded carbon fiber reinforced polymer(CFRP) and steel plate. An experimental investigati... The objective of this work is to investigate the fatigue behavior of reinforced concrete(RC) beams strengthened with externally bonded carbon fiber reinforced polymer(CFRP) and steel plate. An experimental investigation and theoretical analysis were made on the law of deflection development and stiffness degradation, as well as the influence of fatigue load ranges. Test results indicate that the law of three-stage change under fatigue loading is followed by both midspan deflection and permanent deflection, which also have positive correlation with fatigue load amplitude. Fatigue stiffness of composite strengthened beams degrades gradually with the increasing of number of cycles. Based on the experimental results, a theoretical model by effective moment of inertia method is developed for calculating the sectional stiffness of such composite strengthened beams under fatigue loading, and the calculated results are in good agreement with the experimental results. 展开更多
关键词 carbon fiber reinforced polymer steel plate composite strengthening technique reinforced concrete beams fatigue stiffness
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Effect analysis of friction and damping on anti-backlash gear based on dynamics model with time-varying mesh stiffness 被引量:7
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作者 杨政 尚建忠 罗自荣 《Journal of Central South University》 SCIE EI CAS 2013年第12期3461-3470,共10页
A nonlinear model of anti-backlash gear with time-varying friction and mesh stiffness was proposed for the further study on dynamic characteristics of anti-backlash gear. In order to improve the model precision, appli... A nonlinear model of anti-backlash gear with time-varying friction and mesh stiffness was proposed for the further study on dynamic characteristics of anti-backlash gear. In order to improve the model precision, applied force analysis was completed in detail, and single or double tooth meshing states of two gear pairs at any timing were determined according to the meshing characteristic of anti-backlash gear. The influences of friction and variations of damping ratio on dynamic transmission error were analyzed finally by numerical calculation and the results show that anti-backlash gear can increase the composite mesh stiffness comparing with the mesh stiffness of the normal gear pair. At the pitch points where the frictions change their signs, additional impulsive effects are observed. The width of impulsive in the same value of center frequency is wider than that without friction, and the amplitude is lower. When gear pairs mesh in and out, damping can reduce the vibration and impact. 展开更多
关键词 FRICTION DAMPING anti-backlash gear dynamics time-varying mesh stiffness dynamic transmission error
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Mesh stiffness calculation of cycloid-pin gear pair with tooth profile modification and eccentricity error 被引量:7
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作者 LI Xuan CHEN Bing-kui +1 位作者 WANG Ya-wen LIM Teik Chin 《Journal of Central South University》 SCIE EI CAS CSCD 2018年第7期1717-1731,共15页
Cycloid speed reducers are widely used in many industrial areas due to the advantages of compact size, high reduction ratio and high stiffness. However, currently, there are not many analytical models for the mesh sti... Cycloid speed reducers are widely used in many industrial areas due to the advantages of compact size, high reduction ratio and high stiffness. However, currently, there are not many analytical models for the mesh stiffness calculation, which is a crucial parameter for the high-fidelity gear dynamic model. This is partially due to the difficulty of backlash determination and the complexity of multi-tooth contact deformation during the meshing process. In this paper, a new method to calculate the mesh stiffness is proposed including the effects of tooth profile modification and eccentricity error. The time-varying mesh parameters and load distribution of cycloid-pin gear pair are determined based on the unloaded tooth contact analysis (TCA) and the nonlinear Hertzian contact theory, allowing accurate calculations of the contact stiffness of single tooth pair and the torsional stiffness of multi-tooth pairs. A detailed parametric study is presented to demonstrate the influences of tooth profile modification, applied torque and eccentricity error on the torsional mesh stiffness, loaded transmission error, Hertzian contact stiffness and load sharing factor. This model can be applied to further study the lost motion and dynamic characteristics of cycloid speed reducer and assist the optimization of its precision, vibration and noise levels. 展开更多
关键词 cycloid speed reducer mesh stiffness tooth contact analysis load distribution MODIFICATION
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关于求解Stiff常微分方程具有参数的一类块方法
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作者 徐洪义 吴宏伟 吴新元 《南京大学学报(自然科学版)》 CAS CSCD 1989年第3期17-24,共8页
本文给出求解Stiff常数分方程含有参数的一类高阶块方法,并给出计算其绝对稳定域的算法.通过对参数的选取,改进了文[1]中的方法的稳定性.对于K=3,4,5,6,我们构造出一类Stiff稳定的块方法,它们是具有很小的非稳定域.
关键词 stiff方程组 块方法 常微分方程
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Adaptive robust output force tracking control of pneumatic cylinder while maximizing/minimizing its stiffness 被引量:4
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作者 孟德远 陶国良 +1 位作者 班伟 钱鹏飞 《Journal of Central South University》 SCIE EI CAS 2013年第6期1510-1518,共9页
The system considered in this work consists of a cylinder which is controlled by a pair of three-way servo valves rather than a four-way one.Therefore,the cylinder output stiffness is independently controllable of the... The system considered in this work consists of a cylinder which is controlled by a pair of three-way servo valves rather than a four-way one.Therefore,the cylinder output stiffness is independently controllable of the output force.A discontinuous projection based adaptive robust controller (ARC) was constructed to achieve high-accuracy output force trajectory tracking for the system.In ARC,on-line parameter adaptation method was adopted to reduce the extent of parametric uncertainties due to the variation of friction parameters,and sliding mode control method was utilized to attenuate the effects of parameter estimation errors,unmodelled dynamics and disturbance.Furthermore,output stiffness maximization/minimization was introduced to fulfill the requirement of many robotic applications.Extensive experimental results were presented to illustrate the effectiveness and the achievable performance of the proposed scheme.For tracking a 0.5 Hz sinusoidal trajectory,maximum tracking error is 4.1 N and average tracking error is 2.2 N.Meanwhile,the output stiffness can be made and maintained near its maximum/minimum. 展开更多
关键词 servo-pneumatic systems output force control cylinder output stiffness sliding mode control adaptive control
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The Matrix Stiffness and Physical Confinement of Hydrogel Microchannel Jointly Induce the Mesenchymal-Amoeboid Transition for Cancer Cell Migration 被引量:2
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作者 Meng Wang Bo Cheng +4 位作者 Yaowei Yang Han Liu Guoyou Huang Fei Li Feng Xu 《医用生物力学》 EI CAS CSCD 北大核心 2019年第A01期137-138,共2页
The migration mode transition of cancer cell enhances its invasive capability and the drug resistance,where physical confinement of cell microenvironment has been revealed to induce the mesenchymal-amoeboid transition... The migration mode transition of cancer cell enhances its invasive capability and the drug resistance,where physical confinement of cell microenvironment has been revealed to induce the mesenchymal-amoeboid transition(MAT).However,most existing studies are performed in PDMS microchannels,of which the stiffness is much higher than that of most mammalian tissues.Therefore,the amoeboid migration transition observed in these studies is actually induced by the synergistic effect of matrix stiffness and confinement.Since the stiffness of cell microenvironment has been reported to influence the cell migration in 2D substrate,the decoupling of stiffness and confinement effects is thus in need for elucidating the underlying mechanism of MAT.However,it is technically challenging to construct microchannels with physiologically relevant stiffness and channel size,where existing microchannel platforms with physiological relevance stiffness are all with>10μm channel width.Such size is too wide to mimic the physical confinement that migrating cancer cells confront in vivo,and also larger than the width of PDMS channel,in which the MAT of cancer cell was observed.Therefore,an in vitro cell migration platform,which could mimic both stiffness and confinement of the native physical microenvironment during cancer metastasis,could profoundly contribute to researches on cancer cell migration and cellular mechanotransduction.In this paper,we overcome the limitations of engineering soft materials in microscale by combining the collagen-alginate hydrogel with photolithography.This enables us to improve the accuracy of molded microchannel,and thus successfully construct a 3D microchannel platform,which matches the stiffness and width ranges of native environmental confinement that migrating cancer cells confront in vivo.The stiffness(0.3~20 kPa),confinement(channel width:3.5~14μm)and the adhesion ligand density of the microchannel can be tuned independently.Interestingly,using this platform,we observed that the migration speed of cancer cell is influenced by the synergistic effect of channel stiffness and width,and the increasing stiffness reverses the effect of channel width on the migration speed of cancer cells.In addition,MAT has a strong correlation with the channel stiffness.These findings make us reconsider the widely accepted hypothesis:physical confinement can induce MAT.Actually,this transition can only occur in stiff confined microenvironment not in soft one.For soft microchannels,the compliance of the channel walls could cause little cell/nucleus deformation,and the MAT could not be induced.To further investigate the mechanism of MAT,we developed a computational model to simulate the effect of nucleus deformation on MAT.With the model,we found that deforming the cell nuclear by decreasing the nucleus stiffness will reduce the cellmigration speed.This implies that nuclear stiffness plays an important role in the regulation of cancer migration speed and thus MAT in microchannels.The effect of channel stiffness on MAT and migration speed as observed in our experiment could partially explain previous findings reported in the literature,where the increasing matrix stiffness of tumor microenvironment promotes cancer metastasis.Our observations thus highlight the critical role of cell nuclear deformation not only in MAT,but also in regulating cellular mechanotransduction and cell-ECM interactions.This developed platform is capable of mimicking the native physical microenvironment during metastasis,providing a powerful tool for high-throughput screening applications and investigating the interaction between cancer migration and biophysical microenvironment. 展开更多
关键词 The MATRIX stiffNESS PHYSICAL CONFINEMENT HYDROGEL MICROCHANNEL Jointly Cancer Cell Migration MATRIX
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Reinforcement by polyurethane to stiffness of air-supported fabric formwork for concrete shell construction 被引量:2
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作者 GUO Xiao QIAN Sheng-shen +1 位作者 QING Qiang GONG Jing-hai 《Journal of Central South University》 SCIE EI CAS CSCD 2019年第9期2569-2577,共9页
By spraying concrete on inner surface,air-supported fabric structures can be used as formwork to construct reinforced concrete shell structures.The fabric formwork has the finished form of concrete structure.Large dev... By spraying concrete on inner surface,air-supported fabric structures can be used as formwork to construct reinforced concrete shell structures.The fabric formwork has the finished form of concrete structure.Large deviation from the desired shape of concrete shells still remains as central problem due to dead weight of concrete and less stiffness of fabric formwork.Polyurethane can be used not only as a bonding layer between fabrics and concrete but also as an additional stiffening layer.However,there is little research on mechanical behaviors of the polyurethane shell structure.This paper presents experimental studies on an inflated fabric model with and without polyurethane,including relief pressure tests,vertical loading tests and horizontal loading tests.Experimental results show that the additional polyurethane layer can significantly enhance the stiffness of the fabric formwork.Compared with the experiment,a numerical model using shell layered finite elements has a good prediction.The reinforcement by polyurethane to improve stiffness of air-supported fabric formwork is expected to be considered in the design and construction of the concrete shell,especially dealing with the advance of shape-control. 展开更多
关键词 fabric formwork POLYURETHANE stiffNESS thin-shell structure loading experiment shell layered finite element
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Performance analysis of high-static-low-dynamic stiffness vibration isolator with time-delayed displacement feedback 被引量:1
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作者 CHENG Chun LI Shun-ming +1 位作者 WANG Yong JIANG Xing-xing 《Journal of Central South University》 SCIE EI CAS CSCD 2017年第10期2294-2305,共12页
The displacement feedback with time delay considered is introduced in order to enhance the vibration isolation performance of a high-static-low-dynamic stiffness(HSLDS) vibration isolator. Such feedback is detailedly ... The displacement feedback with time delay considered is introduced in order to enhance the vibration isolation performance of a high-static-low-dynamic stiffness(HSLDS) vibration isolator. Such feedback is detailedly analyzed from the viewpoint of equivalent damping. Firstly, the primary resonance of the controlled HSLDS vibration isolator subjected to a harmonic force excitation is obtained based on the multiple scales method and further verified by numerical integration. The stability of the primary resonance is subsequently investigated. Then, the equivalent damping is defined to study the effects of feedback gain and time delay on primary resonance. The condition of jump avoidance is obtained with the purpose of eliminating the adverse effects induced by jumps. Finally, the force transmissibility of the controlled HSLDS vibration isolator is defined to evaluate its isolation performance. It is shown that an appropriate choice of feedback parameters can effectively suppress the force transmissibility in resonant region and reduce the resonance frequency. Furthermore, a wider vibration isolation frequency bandwidth can be achieved compared to the passive HSLDS vibration isolator. 展开更多
关键词 vibration ISOLATOR high-static-low-dynamic stiffNESS PIECEWISE nonlinear time-delayed feedback multiple scales method
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Suppression of thermal postbuckling and nonlinear panel flutter motions of variable stiffness composite laminates using piezoelectric actuators 被引量:2
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作者 TAO Ji-xiao YI Sheng-hui +1 位作者 DENG Ya-jie HE Xiao-qiao 《Journal of Central South University》 SCIE EI CAS CSCD 2021年第12期3757-3777,共21页
Variable stiffness composite laminates(VSCLs)are promising in aerospace engineering due to their designable material properties through changing fiber angles and stacking sequences.Aiming to control the thermal postbu... Variable stiffness composite laminates(VSCLs)are promising in aerospace engineering due to their designable material properties through changing fiber angles and stacking sequences.Aiming to control the thermal postbuckling and nonlinear panel flutter motions of VSCLs,a full-order numerical model is developed based on the linear quadratic regulator(LQR)algorithm in control theory,the classical laminate plate theory(CLPT)considering von Kármán geometrical nonlinearity,and the first-order Piston theory.The critical buckling temperature and the critical aerodynamic pressure of VSCLs are parametrically investigated.The location and shape of piezoelectric actuators for optimal control of the dynamic responses of VSCLs are determined through comparing the norms of feedback control gain(NFCG).Numerical simulations show that the temperature field has a great effect on aeroelastic tailoring of VSCLs;the curvilinear fiber path of VSCLs can significantly affect the optimal location and shape of piezoelectric actuator for flutter suppression;the unstable panel flutter and the thermal postbuckling deflection can be suppressed effectively through optimal design of piezoelectric patches. 展开更多
关键词 active control finite element method linear quadratic regulator algorithm nonlinear flutter thermal postbuckling variable stiffness composite laminates
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Evaluation of reclaimed asphalt pavement binder stiffness without extraction and recovery 被引量:1
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作者 马涛 黄晓明 U.B.Hussain 《Journal of Central South University》 SCIE EI CAS 2011年第4期1316-1320,共5页
A new testing procedure to estimate the low-temperature stiffness of the reclaimed asphalt pavement (RAP) binder was developed. In the testing procedure, the SuperpaveTM Bending Beam Rheometer (BBR) with special m... A new testing procedure to estimate the low-temperature stiffness of the reclaimed asphalt pavement (RAP) binder was developed. In the testing procedure, the SuperpaveTM Bending Beam Rheometer (BBR) with special modifications and binder blending charts by Asphalt Institute were utilized. Modifications involved the development of a new kind of sample mold and different testing parameters were made to BBR testing procedure to capture the theological properties of bitumen mortars produced by mixing fresh binder with fine RAP materials or RAP aggregate. The stiffness relationship between binder and bitumen mortar was established based on the BBR test results. The blended binder stiffness in bitumen RAP mortar was estimated from the RAP mortar stiffness based on the binder-mortar relationship. And finally, the RAP binder stiffness was estimated from the blended binder and fresh binder stiffness based on the blending charts by Asphalt Institute. The results indicate that the new procedure can capture the rheological properties of bitumen mortar and can be used to estimate the low temperature stiffness of RAP binder without binder extraction and/or any chemical treatments. 展开更多
关键词 aged binder reclaimed asphalt pavement MORTAR stiffNESS Bending Beam Rheometer blending chart
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一类求解Stiff方程高精度L─稳定的显示单步方法 被引量:1
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作者 向开理 张建国 《西南石油学院学报》 CAS CSCD 1994年第1期102-109,共8页
求文在参考文献[1]、[2]的基础上,构造了一类求解Stiff方程组L-稳定的高精度显式单步法.本文方法是对参考文献[1]、[2]中的方法的改进与推广.与现有的隐式方法相比,具有稳定性好,精度高计算简便,适用范围广泛... 求文在参考文献[1]、[2]的基础上,构造了一类求解Stiff方程组L-稳定的高精度显式单步法.本文方法是对参考文献[1]、[2]中的方法的改进与推广.与现有的隐式方法相比,具有稳定性好,精度高计算简便,适用范围广泛等特点.对于某些类型的Stiff问题是很有效的. 展开更多
关键词 常微分方程 L-稳定性 斯蒂夫方程
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