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Design and Implementation of Closed-Loop Control of Vector Force in Static Push-the-bit Rotary Steering System
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作者 Liang Yao Kang Hong-bo +4 位作者 Liu Yue Chen wen Sun Yan Ma Li Zhao Yan-Wei 《Applied Geophysics》 2025年第3期796-803,896,共9页
Rotary steering systems(RSSs)have been increasingly used to develop horizontal wells.A static push-the-bit RSS uses three hydraulic modules with varying degrees of expansion and contraction to achieve changes in the p... Rotary steering systems(RSSs)have been increasingly used to develop horizontal wells.A static push-the-bit RSS uses three hydraulic modules with varying degrees of expansion and contraction to achieve changes in the pushing force acting on the wellbore in different sizes and directions within a circular range,ultimately allowing the wellbore trajectory to be drilled in a predetermined direction.By analyzing its mathematical principles and the actual characteristics of the instrument,a vector force closed-loop control method,including steering and holding modes,was designed.The adjustment criteria for the three hydraulic modules are determined to achieve rapid adjustment of the vector force.The theoretical feasibility of the developed method was verified by comparing its results with the on-site application data of an imported rotary guidance system. 展开更多
关键词 static push-the-bit hydraulic modules closed-loop control vector force working mode
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Static aerobic composting of municipal sewage sludge with forced ventilation:Using matured compost as bulking conditioner 被引量:5
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作者 欧阳建新 施周 +3 位作者 钟华 刘卫 柴琦 袁兴中 《Journal of Central South University》 SCIE EI CAS 2014年第1期303-309,共7页
Static aerobic composting of municipal sewage sludge with forced ventilation or air ventilation using matured compost as bulking conditioner was investigated. Physical and chemical parame ,eters, e.g., temperature, mo... Static aerobic composting of municipal sewage sludge with forced ventilation or air ventilation using matured compost as bulking conditioner was investigated. Physical and chemical parame ,eters, e.g., temperature, moisture content, VSS, CODcr, pH, and germination index (GI), were analyzed to characterize the composting process. Fermentation starts quickly in both forced and air ventilation compost heaps and reaches high-temperature stage after 2 d, owing to the bulking function of matured compost. Compared to air ventilation, however, forced ventilation enables the high-temperature stage to last longer for approximately 7 d. The moisture content of both compost bodies decreases from 62% to about 50% as a result of evaporation, and it decreases slightly faster in forced ventilation compost heap after 13 d due to the higher temperature and better ventilation condition. Although no obvious differences of VSS and pH are observed between both compost heaps, the soluble CODcr and GI show differences during the second half period of fermentation. In forced ventilation compost, the soluble CODcr has a small rebound after 13 d, and GI decreases from 46% to 35% but then increases. These results show that in general, the matured compost is a good conditioner and force ventilation with a proper air supply strategy can be more efficient than air ventilation. 展开更多
关键词 municipal sewage sludge static aerobic composting forced ventilation matured compost bulking conditioner
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Reaction Forces on a Fixed Ladder in Static Equilibrium: Analysis and Definitive Experimental Test of the Ladder Problem 被引量:2
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作者 M. P. Silverman 《World Journal of Mechanics》 2018年第9期311-342,共32页
The development of a theoretical model to predict the four equilibrium forces of reaction on a simple ladder of non-adjustable length leaning against a wall has long remained an unresolved matter. The difficulty is th... The development of a theoretical model to predict the four equilibrium forces of reaction on a simple ladder of non-adjustable length leaning against a wall has long remained an unresolved matter. The difficulty is that the problem is statically indeterminate and therefore requires complementary information to obtain a unique solution. This paper reports 1) a comprehensive theoretical analysis of the three fundamental models based on treating the ladder as a single Euler-Bernoulli beam, and 2) a detailed experimental investigation of the forces of reaction as a function of applied load and location of load. In contrast to previous untested proposals that the solution to the ladder problem lay in the axial constraint on compression or the transverse constraint on flexure, the experimental outcome of the present work showed unambiguously that 1) the ladder could be modeled the best by a pinned support at the base (on the ground) and a roller support at the top (at the wall), and 2) the only complementary relation needed to resolve the static indeterminacy is the force of friction at the wall. Measurements were also made on the impact loading of a ladder by rapid ascent and descent of a climber. The results obtained were consistent with a simple dynamical model of the ladder as a linear elastic medium subject to a pulse perturbation. The solution to the ladder problem herein presented provides a basis for theoretical extension to other types of ladders. Of particular importance, given that accidents involving ladders in the workplace comprise a significant fraction of all industrial accidents, the theoretical relations reported here can help determine whether a collapsed structure, against which a ladder was applied, met regulatory safety limits or not. 展开更多
关键词 REACTION forceS on a LADDER REACTION forceS on a Beam IMPULSE Load on a LADDER LADDER in static EQUILIBRIUM statically INDETERMINATE forceS
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Internal Force Analysis Due to the Supporting Translation in Statically (Indeterminate) Structures for Different Elastic Modulus 被引量:1
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作者 姚文娟 叶志明 《Journal of Shanghai University(English Edition)》 CAS 2004年第3期274-280,共7页
For statically indeterminate structure, the internal force will be changed with the translation of the supports, because the internal force is related to the absolute value of the stiffness EI. When the tension is dif... For statically indeterminate structure, the internal force will be changed with the translation of the supports, because the internal force is related to the absolute value of the stiffness EI. When the tension is different with the compression modulus, EI is the function of internal force and is not constant any more that is different from classic mechanics. In the other words, it is a nonlinear problem to calculate the internal force. The expression for neutral axis of the statically indeterminate structure was derived in the paper. The iterative program for nonlinear internal force was compiled. One case study was presented to illustrate the difference between the results using the different modulus theory and the single modulus theory as in classical mechanics. Finally, some reasonable suggestions were made for the different modulus structures. 展开更多
关键词 different moduli in tension and compression statically indeterminate structure translation of support nonlinear internal force iteration.
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Multi-Channel Force Control System for Static Loading
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作者 陈彩可 王军政 +1 位作者 马立玲 李金仓 《Journal of Beijing Institute of Technology》 EI CAS 2003年第S1期1-6,共6页
An eight-channel force loading system is presented, which adopts position control system and force control system switching model, small flow servo valve controlled capacious cylinder system scheme, intelligent PID al... An eight-channel force loading system is presented, which adopts position control system and force control system switching model, small flow servo valve controlled capacious cylinder system scheme, intelligent PID algorithm and distributed load approach. Through the analyses of the equivalent model of valve controlled cylinder force subsystem, a controller based on intelligent PID algorithm is designed, which is not sensitive to the variation of parameters such as environmental stiffness. According to the coupling of multiple load channels, a distributed load approach is employed in the superior monitor computer. Experimental results show that the system designed has high precision and robustness. 展开更多
关键词 electro-hydraulic servo loading system static force loading force control
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Perception of Static and Dynamic Forces with a Bio-inspired Tactile Fingertip
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作者 Longhui Qin Xiaowei Shi +1 位作者 Yihua Wang Zhitong Zhou 《Journal of Bionic Engineering》 SCIE EI CSCD 2023年第4期1544-1554,共11页
With the aid of different types of mechanoreceptors,human is capable of perceiving stimuli from surrounding environments and manipulating various objects dexterously.In this paper,a bio-inspired tactile fingertip is d... With the aid of different types of mechanoreceptors,human is capable of perceiving stimuli from surrounding environments and manipulating various objects dexterously.In this paper,a bio-inspired tactile fingertip is designed mimicking human fingertip in both structures and functionalities.Two pairs of strain gages and(Polyvinylidene Fluoride)PVDF films are perpendicularly arranged to simulate the Fast-Adapting(FA)and Slowly Adapting(SA)type mechanoreceptors in human hands,while silicones,Polymethyl Methacrylate(PMMA),and electronic wires are applied to mimic the skin,bone and nerve fibers.Both static and dynamic forces can be perceived sensitively.A preprocessing electric circuit is further designed to transform the resistor changes into voltages,and then filter and amplify the four-channel signals.In addition to strong robustness due to the embedded structure,the developed fingertip is found sensitive to deformations via a force test experiment.Finally,two robotic experiments explore its recognition ability of contact status and object surface.Excellent performance is found with high accuracy of 99.72%achieved in discriminating six surfaces that are ubiquitous in daily life,which demonstrates the effectiveness of our designed tactile sensor. 展开更多
关键词 Tactile fingertip static force Dynamic force Contact status Surface recognition BIONIC
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Static Force-Based Modeling and Parameter Estimation for a Deformable Link Composed of Passive Spherical Joints With Preload Forces
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作者 Gaofeng Li Dezhen Song +3 位作者 Lei Sun Shan Xu Hongpeng Wang Jingtai Liu 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2021年第11期1817-1826,共10页
To balance the contradiction between higher flexibility and heavier load bearing capacity,we present a novel deformable manipulator which is composed of active rigid joints and deformable links.The deformable link is ... To balance the contradiction between higher flexibility and heavier load bearing capacity,we present a novel deformable manipulator which is composed of active rigid joints and deformable links.The deformable link is composed of passive spherical joints with preload forces between socket-ball surfaces.To estimate the load bearing capacity of a deformable link,we present a static force-based model of spherical joint with preload force and analyze the static force propagation in the deformable link.This yields an important result that the load bearing capacity of a spherical joint only depends on its radius,preload force,and static friction coefficient.We further develop a parameter estimation method to estimate the product of preload force and static friction coefficient.The experimental results validate our model.80.4%of percentage errors on the maximum payload mass prediction are below 15%. 展开更多
关键词 Deformable link parameters identification spherical joint with preload force static force-based model
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A Geometrical Theorem about the Static Equilibrium of a Common-point-force System and its Application
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作者 Guo-quan Zhou 《Open Journal of Applied Sciences》 2013年第1期65-69,共5页
A geometrical theorem for the static equilibrium of a common-point-force system has been proven by means of virtual-work principle: The equilibrium point of a common-point force system has a minimal weighted distance ... A geometrical theorem for the static equilibrium of a common-point-force system has been proven by means of virtual-work principle: The equilibrium point of a common-point force system has a minimal weighted distance summation to every fixed point arbitrarily given on each force line with a weighing factor proportional to corresponding force value. Especially the mechanical simulating technique for its inverse problem has been realized by means of pulley block. The conclusions for the inverse problem derived from mechanic method are in accordance with that given by the pure mathematical method, and the self-consistence of the theorem and its inverse problem has been demonstrated. Some application examples in engineering, economy and mathematics have been discussed, especially the possible application in the research of molecular structure, has also been predicted. 展开更多
关键词 Spatial Common-point-force System static Equilibrium Minimum THEOREM Principle of Virtual Work DEPOT Problem Transportation
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A study of jacking force for a curved pipejacking 被引量:12
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作者 K.J.Shou J.M.Jiang 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE 2010年第4期298-304,共7页
For a pipejacking, the jacking force is critical to balance the resistance force and to move the pipe string forwards. The driving mechanism of a curved pipejacking is more complicated than a straight-line pipejacking... For a pipejacking, the jacking force is critical to balance the resistance force and to move the pipe string forwards. The driving mechanism of a curved pipejacking is more complicated than a straight-line pipejacking, and its jacking force is also more difficult to be determined. The paper theoretically studies the jacking force of a curved pipejacking by considering the static equilibrium of earth pressure, resistance at cutting face, friction at pipe surface, and the driving force behind the pipe string. The derived theoretical formula can be used to estimate the driving forces of a straight-line or a curved pipejacking. Case study was performed by applying the theoretical and empirical formulae. After calibration, the corrected formula is more accurate and more applicable. 展开更多
关键词 pipejacking curved pipejacking jacking force statics analysis
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Calculation and Analysis of Force in Roll System of 20-High Sendzimir Mill 被引量:6
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作者 WANG Zhao-hui GAO Quan-jie +2 位作者 YAN Chao XIA Zhi-yong ZHANG Yao-bing 《Journal of Iron and Steel Research International》 SCIE EI CAS CSCD 2013年第9期33-39,共7页
The calculation of force for a roll system has significant effects on cold roiled thin strip gauge adjustment of a 20-high Sendzimir mill. According to the rolling parameters and rolling plans of a ZR 22B-42 Sendzimir... The calculation of force for a roll system has significant effects on cold roiled thin strip gauge adjustment of a 20-high Sendzimir mill. According to the rolling parameters and rolling plans of a ZR 22B-42 Sendzimir mill in a silicon steel factory, the contact force and the resultant force of each roll in the roll system were calculated both in the static state and in the rolling state through C++ programs. It was found that the contact force between the see ond intermediate driven roll and the back up rolls B and C was much lower than that between the other rolls in static state. The results also demonstrated that the resultant force are 59.5%-62%, 37.7%-40.3%, 87.1%-88.7% and 53.9%-56.7% of the rolling force at the second intermediate driven roll, the second intermediate idler roll, the back-up rolls B and C and the back-up rolls A and D, respectively. It was also revealed that the minimum contact force generated between the first intermediate roll and the second intermediate idler roll is 206.7 kN on the first roll ing pass, and that on the second rolling pass, the minimum contact force generated between the second intermediate driven roll and the back-up roll C is 470.7 kN. 展开更多
关键词 Sendzimir mill roll system static state rolling force
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Mooring Model Experiment and Mooring Line Force Calculation 被引量:2
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作者 向溢 杨建民 +1 位作者 谭家华 张承懿 《China Ocean Engineering》 SCIE EI 2001年第1期25-36,共12页
Mooring model experiment and mooring line tension determination are of significance to the design of mooring systems and berthing structures. This paper mainly involves: (a) description and analysis of a mooring model... Mooring model experiment and mooring line tension determination are of significance to the design of mooring systems and berthing structures. This paper mainly involves: (a) description and analysis of a mooring model experiment; (b) derivation of static equilibrium equations for a moored ship subjected to wind, current and waves; (c) solution of mooring equations with the Monte Carlo method; (d) qualitative analysis of effects of pier piles on mooring line forces. Special emphasis is placed on the derivation of static equilibrium equations, solution method and the mooring model experiment. 展开更多
关键词 berthed ship environmental forces mooring line static analysis Monte Carlo method
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Optimal design and experiment research of an orthogonal-parallel six-axis force/torque sensor
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作者 Wang Zhijun Liu Lu +2 位作者 Cui Bingyan He Jing Li Zhanxian 《High Technology Letters》 EI CAS 2021年第2期184-192,共9页
A novel orthogonal-parallel six-axis force/torque sensor is studied based on a modified Stewart platform architecture,and the optimal design and experiment research of the sensor are discussed.Firstly,the model of ort... A novel orthogonal-parallel six-axis force/torque sensor is studied based on a modified Stewart platform architecture,and the optimal design and experiment research of the sensor are discussed.Firstly,the model of orthogonal parallel six-axis force/torque sensor based on improved Stewart platform architecture and its static mathematical model are proposed.Secondly,according to the actual working condition of the sensor,the sensor is optimized and the optimal solution is obtained.Then,the experimental prototype and calibration system is developed.Finally,the superiority of the sensor structure and the effectiveness of the optimization method are verified by calibration experiments.The results of the proposed method are useful for the further research and application of the orthogonal-parallel six-axis force/torque sensor. 展开更多
关键词 six-axis force sensor optimal design online static calibration working condition
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基于商标纸摩擦系数的烟包输送故障分析与预测
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作者 张冰 崔庆军 +4 位作者 贾晓慧 王海涛 王高升 张正健 王玉峰 《中国造纸》 北大核心 2026年第1期165-173,共9页
针对烟包在卷烟包装机输送过程中时常发生运行不畅的问题,基于6种典型商标纸在不同摩擦接触面上摩擦系数的差异性,分别探讨了商标纸摩擦系数对卷烟包装机开、停机时和八轮后烟包输送的影响。结果表明,实际生产中使用的传送带为接触面时... 针对烟包在卷烟包装机输送过程中时常发生运行不畅的问题,基于6种典型商标纸在不同摩擦接触面上摩擦系数的差异性,分别探讨了商标纸摩擦系数对卷烟包装机开、停机时和八轮后烟包输送的影响。结果表明,实际生产中使用的传送带为接触面时测得的摩擦系数能更准确地反映商标纸的表面摩擦状况。对卷烟包装机停机与开机时的烟包进行受力分析,通过测量商标纸与所用传送带间的摩擦系数,计算烟包所受摩擦力大小,根据卷烟包装机的生产速度、制动(释放)时间等参数可以预测烟包在输送过程中的运行状况。卷烟包装机八轮后输送阶段,可以根据烟包2个接触侧面的动摩擦系数的相对大小来调节上传送带对烟包施加的压力,以保证烟包平稳运行。 展开更多
关键词 卷烟商标纸 摩擦系数 卷烟包装机 静摩擦力 动摩擦力
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惯性力导数对飞行载荷弹性修正的影响研究
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作者 杨仕福 姚日通 杨荣 《科技创新与应用》 2026年第3期94-97,共4页
在飞机飞行载荷弹性修正设计中,惯性力导数与飞行马赫数、高度、飞机刚度特性和质量分布等参数等紧密相关,计算工况设置较多,耗时巨大,且其数值较小通常在飞行载荷弹性修正中被舍弃。该文论述静气动弹性分析中惯性力导数的计算与载荷修... 在飞机飞行载荷弹性修正设计中,惯性力导数与飞行马赫数、高度、飞机刚度特性和质量分布等参数等紧密相关,计算工况设置较多,耗时巨大,且其数值较小通常在飞行载荷弹性修正中被舍弃。该文论述静气动弹性分析中惯性力导数的计算与载荷修正应用理论,以某大型民用飞机载荷弹性修正为例,分析了惯性力导数对载荷弹性修正的影响。数值算例表明,惯性力导数对飞机飞行载荷修正有一定的影响,不应被忽略。 展开更多
关键词 气动弹性 飞行载荷 静气动弹性 惯性力导数 载荷修正
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Effective static wind-induced force estimation for clips between purlins and metal panels of standing-seam metal roofing system
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作者 Yuanqi LI Yu ZHENG +1 位作者 Shujuan DAI Akihito YOSHIDA 《Frontiers of Structural and Civil Engineering》 2025年第1期108-122,共15页
This paper mainly focuses on the establishment of an effective static estimation method for the extreme wind-induced force for clips between purlins and metal panels of the standing-seam metal roofing system(hereinaft... This paper mainly focuses on the establishment of an effective static estimation method for the extreme wind-induced force for clips between purlins and metal panels of the standing-seam metal roofing system(hereinafter referred to as SMRS)of typical double-slope light-weight steel portal frame structure considering dynamic characteristics of wind and structure.First,simultaneous pressure measurement with rigid gable roof models was conducted mainly considering the length-span ratio in the boundary layer wind tunnel of Tokyo Polytechnic University,Japan.Then,finite element modeling for SMRS according to the wind load path in the roofing system was carried out to check the actual wind load of the clips based on the traditional calculation method provided in design codes,and the spatial correlation of fluctuating wind pressure on the roof surface,as well as the dynamic effect of the roof structure itself,had been considered.According to the related Chinese,American,and Japanese codes,a magnification coefficient based on the traditional method of static wind-induced force for the clips was calculated and compared.Finally,a simplified estimation method of effective wind-induced force for the clips in typical zones on the roof surface considering dynamic characteristics was proposed. 展开更多
关键词 effective static wind-induced force estimation CLIPS standing-seam metal roofing system dynamic characteristics
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Grain Refinement During Directionally Solidifying GCr18Mo Steel at Low Pulling Speeds Under an Axial Static Magnetic Field 被引量:3
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作者 Yuan Hou Zhen-Qiang Zhang +3 位作者 Wei-Dong Xuan Jiang Wang Jian-Bo Yu Zhong-Ming Ren 《Acta Metallurgica Sinica(English Letters)》 SCIE EI CAS CSCD 2018年第7期681-691,共11页
The present work investigates how axial static magnetic field affects the solidification structure and the solute distribution in directionally solidified GCr18Mo steel. Experimental results show that grain refinement... The present work investigates how axial static magnetic field affects the solidification structure and the solute distribution in directionally solidified GCr18Mo steel. Experimental results show that grain refinement and the colunmar to equiaxed transition is enhanced with the increases in the magnetic field intensity (B) and temperature gradient (G) and the decrease in the growth speed. This phenomenon is simultaneously accompanied by more uniformly distributed alloying elements. The corresponding numerical simulations verify a thermoelectric (TE) magnetic convection pattern in the mushy zone due to the interaction between the magnetic field and TE current. The TE magnetic convection in the liquid should be responsible for the motion of dendrite fragments. The TE magnetic force acting on the dendrite is one of the driving forces trigging fragmentation. 展开更多
关键词 GCr18Mo steel Grain refinement Axial static magnetic field Columnar to equiaxed transitionThermoelectric magnetic force
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Comparison between static and dynamic warm-up exercise regimes on lower limb muscle power 被引量:1
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作者 Jose Shelton G. V. Praveen Kumar 《Health》 2009年第2期117-120,共4页
Aim: The purpose of this study was to compare static and dynamic warm-up regimes on lower limb muscle power and thereby the perform-ance of the individual. Methodology: Twenty eight (28) subjects were assigned into gr... Aim: The purpose of this study was to compare static and dynamic warm-up regimes on lower limb muscle power and thereby the perform-ance of the individual. Methodology: Twenty eight (28) subjects were assigned into groups consisting of 2 members. From each group, 1 subject performed the static stretching and the other subject performed dynamic stretching as warm-up. This was followed by non-counter movement jumps on a force platform and the vertical jump heights were recorded. Data were analysed using one-way ANOVA and paired t-test at 0.05 alpha. Result: The results showed that dynamic stretching as warm-up causes significant increase (p=0.01) in the vertical jump height as compared to static stretching (p=0.03). Discussion: The increase in vertical jump height could be related to the increase in force pro-duction which plays an important role during the vertical jump test. On the other hand the decrease in vertical jump height following static stretching could be attributed to a decrease in the force production in the muscles. Conclusion: Dynamic warm-up increases the vertical lump height, whereas static stretching decreases the jump height of the athlete. 展开更多
关键词 static STRETCHING Dynamic STRETCHING force Production Post ACTIVATION POTENTIATION
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Sensitivity analysis for a type of statically stable sailcrafts 被引量:1
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作者 Zheng-Xue Li Jun-Feng Li He-Xi Baoyin 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2012年第2期532-542,共11页
Two types of sensitivities are proposed for stat- ically stable sailcrafts. One type is the sensitivities of solar-radiation-pressure force with respect to position of the center of mass, and the other type is the sen... Two types of sensitivities are proposed for stat- ically stable sailcrafts. One type is the sensitivities of solar-radiation-pressure force with respect to position of the center of mass, and the other type is the sensitivities of solar-radiation-pressure force with respect to attitude. The two types of sensitivities represent how the solar-radiation- pressure force changes with the position of mass center and the attitude. Sailcrafts with larger sensitivities undergo larger error of the solar-radiation-pressure force, leading to larger orbit error, as demonstrated by simulation. Then as a case study, detailed formulas are derived to calculate the sensi- tivities for sailcrafts with four triangular sails. According to these formulas, in order to reduce both types of sensitivities, the angle between opposed sails should not be too large, and the center of mass should be as close to the axis of symmetry of the four sails as possible and as far away from the center of pressure of the sailcraft as possible. 展开更多
关键词 statically stable sailcraft Sensitivity Solar- radiation-pressure force error. Mass center and pressure cen- ter errors Attitude and orbit errors
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Effect of axial static magnetic field on cleanliness and microstructure in magnetically controlled electroslag remelted bearing steel 被引量:1
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作者 Qiang Li Zhi-bin Xia +4 位作者 Yi-feng Guo Zhe Shen Tian-xiang Zheng Biao Ding Yun-bo Zhong 《Journal of Iron and Steel Research International》 SCIE EI CSCD 2021年第12期1562-1573,共12页
The effect of the axial static magnetic field(ASMF)on cleanliness and microstructure in magnetically controlled electroslag remelted GCr15 bearing steel ingots was investigated experimentally.The results show that a m... The effect of the axial static magnetic field(ASMF)on cleanliness and microstructure in magnetically controlled electroslag remelted GCr15 bearing steel ingots was investigated experimentally.The results show that a magnetically controlled spin-vibration induced by the interaction of the ASMFs and the remelting current exists at the consumable electrode tip,resulting in thinner liquid melt film and smaller droplets.With the increase in magnetic flux density,the optimization effect of ASMFs on electroslag remelting process increases and reaches the peak with a 40 mT ASMF,then decreases.The cleanliness of the ingots was improved,and the count of inclusions larger than 5μm was reduced.The microstructure of the ingots processed with a 40 mT ASMF was significantly refined.The depth of the metallic molten pool was reduced from 45.2 to 17.5 mm with the application of 40 mT ASMF.The tensile strength,impact toughness,and Rockwell hardness of the ingots obtained under the 40 mT ASMF were significantly improved.The mechanisms of the spin-vibration occurring at the electrode tip end were interpreted in detail to elucidate the effect of ASMFs. 展开更多
关键词 Magnetically controlled electroslag remelting Axial static magnetic field Inclusion removal Molten pool Alternating Lorentz force CLEANLINESS GCr15 bearing steel
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The Role of Friction in the Static Equilibrium of a Fixed Ladder: Theoretical Analysis and Experimental Test
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作者 M. P. Silverman 《World Journal of Mechanics》 2018年第12期445-463,共19页
In a recent publication the author derived and experimentally tested several theoretical models, distinguished by different boundary conditions at the contacts with horizontal and vertical supports, that predicted the... In a recent publication the author derived and experimentally tested several theoretical models, distinguished by different boundary conditions at the contacts with horizontal and vertical supports, that predicted the forces of reaction on a fixed (i.e. inextensible) ladder. This problem is statically indeterminate since there are 4 forces of reaction and only 3 equations of static equilibrium. The model that predicted the empirical reactions correctly used a law of static friction to complement the equations of static equilibrium. The present paper examines in greater theoretical and experimental detail the role of friction in accounting for the forces of reaction on a fixed ladder. The reported measurements confirm that forces parallel and normal to the support at the top of the ladder are linearly proportional with a constant coefficient of friction irrespective of the magnitude or location of the load, as assumed in the theoretical model. However, measurements of forces parallel and normal to the support at the base of the ladder are linearly proportional with coefficients that depend sensitively on the location (although not the magnitude) of the load. This paper accounts quantitatively for the different effects of friction at the top and base of the ladder under conditions of usual use whereby friction at the vertical support alone is insufficient to keep the ladder from sliding. A theoretical model is also proposed for the unusual circumstance in which friction at the vertical support can keep the ladder from sliding. 展开更多
关键词 forceS on a LADDER static Equilibrium Law of static FRICTION statically INDETERMINATE forceS of Reaction
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