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Application of the alternative variational iteration method to solve delay differential equations 交替变分迭代法在求解时滞微分方程中的应用
Pub Date : 2020-07-31 DOI: 10.5897/ijps2020.4879
Ahmad A. H. Mtawal, S. A. E. Muhammed, Ayiman A. Almabrok
In this paper, alternative variational iteration method (AVIM) is presented to solve linear and nonlinear delay differential equations (DDEs). A general lagrange multiplier is used to construct a correction functional. The proposed series solutions are found to converge to exact solution rapidly. The computation of three test examples of DDEs was presented to confirm the efficacy and validity of AVIM. The results obtained show that the AVIM is very simple and efficient. Key words: Alternative variational iteration method (AVIM), Lagrange multiplier, Delay differential equations (DDEs).
提出了一种求解线性和非线性时滞微分方程的变分迭代法。一般拉格朗日乘子用于构造修正泛函。发现所提出的级数解能迅速收敛到精确解。通过对三个DDEs测试实例的计算,验证了AVIM的有效性和有效性。实验结果表明,该方法简单、高效。关键词:交替变分迭代法,拉格朗日乘法器,延迟微分方程。
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引用次数: 6
Thermo-mechanical properties of V-5Cr-5Ti alloy: 3D molecular dynamics simulation V-5Cr-5Ti合金热力学性能:三维分子动力学模拟
Pub Date : 2020-07-31 DOI: 10.5897/ijps2020.4886
M. M. Aish, S. A. Aljasar
This paper presents the results of the study of 3D molecular dynamics simulation to investigate the thermomechanical properties of the V-5Cr-5Ti ternary alloy. The main purpose of this work is to evaluate the quality of the Finnis-Sinclair potential for V-rich V-Cr-Ti random alloys with a body-centered-cubic (bcc) structure. The results demonstrated that the elastic constants of the V-5Cr-5Ti alloy are close to the corresponding value of pure metal vanadium. The two-phase method coexistence solid-liquid was applied to determine the melting point of this alloy at standard pressure. The equilibrium melting point was found at 2237 K, slightly higher than the melting point of Vanadium at the same pressure. Key words: Thermomechanical, V-5Cr-5Ti, Finnis Sinclair potential, elastic constant, melting point, two-phase method.
本文采用三维分子动力学模拟方法研究了V-5Cr-5Ti三元合金的热力学性能。本工作的主要目的是评估具有体心立方(bcc)结构的富V-Cr-Ti随机合金的finni - sinclair电位的质量。结果表明,V-5Cr-5Ti合金的弹性常数接近纯金属钒的相应值。采用固液共存两相法测定了该合金在标准压力下的熔点。平衡熔点为2237 K,略高于相同压力下钒的熔点。关键词:热机械,V-5Cr-5Ti, Finnis Sinclair势,弹性常数,熔点,两相法
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引用次数: 0
Interpretation of aeromagnetic data over some parts of Sokoto Basin, Nigeria, using source parameter imaging and 3D Euler deconvolution methods 利用源参数成像和三维欧拉反褶积方法解释尼日利亚Sokoto盆地部分地区的航磁数据
Pub Date : 2020-06-30 DOI: 10.5897/ijps2020.4864
Suleiman Taufiq, F. Okeke, N. Obiora
This investigation is aimed at determining depth to the bottom of magnetic source and to reveal some certain geological features across Sokoto basin using source parameter imaging and 3D Euler deconvolution techniques. The investigation employed fifteen number aeromagnetic sheets covering longitude 4°30'E - 6°00E and latitude 11°00'N - 13°30'N. The total magnetic intensity of the area was subjected to reduction to magnetic equator using a geomagnetic inclination angle of 1.4°, declination of 1.7° and a standard deviation of 0.1. Similarly, the total magnetic intensity was also subjected to regional - residual separation using polynomial fitting of the second order, of the least square method. Consequently, the total magnetic intensity and the reduction to equator revealed intensities ranging from -67.16 to 118.27 nT and -58.33 to 119.21 nT/m, respectively. Similarly, the results from 3D Euler deconvolution revealed depths of 1.38, 2.14, 2.58 and 2.80 km for structural indexes of 0, 1, 2 and 3, respectively. Finally, the source parameter imaging result revealed a maximum depth of 1.65 km and a minimum of 0.1 km in the study area. The implication of these results is that, even if other conditions are met, the possibility of hydrocarbon exploration in the basin may be very marginal. Key words: Aeromagnetic data, reduction to equation, Euler deconvolution, source parameter imaging, Sokoto basin.
本次研究的目的是利用磁源参数成像和3D欧拉反褶积技术,确定磁源底部的深度,并揭示索科托盆地的一些地质特征。调查采用了15号航磁片,覆盖经度4°30′e - 6°00′e和纬度11°00′n - 13°30′n。利用地磁倾角为1.4°,赤纬为1.7°,标准差为0.1,将该地区的总磁场强度还原为磁赤道。同样,利用最小二乘法的二阶多项式拟合,也对总磁场强度进行了区域残差分离。总磁场强度和赤道还原强度分别为-67.16 ~ 118.27 nT和-58.33 ~ 119.21 nT/m。同样,三维欧拉反褶积结果显示,构造指数0、1、2和3的深度分别为1.38、2.14、2.58和2.80 km。最后,源参数成像结果显示,研究区最大深度为1.65 km,最小深度为0.1 km。这些结果表明,即使满足其他条件,该盆地油气勘探的可能性也非常小。关键词:航磁数据,方程化简,欧拉反褶积,源参数成像,索科托盆地
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引用次数: 1
Determination and establishment of empirical relationship between magnetic susceptibility and mechanical properties of typical basement rocks in Southwestern Nigeria 尼日利亚西南部典型基岩磁化率与力学性质经验关系的测定与建立
Pub Date : 2020-06-30 DOI: 10.5897/IJPS2020.4870
O. Akintorinwa, C. A. Ajayi, A. Oyedele
Magnetic susceptibility and mechanical properties of rocks in a typical basement complex Southwestern Nigeria were correlated with the aim of establishing empirical equations relating the two parameters and evaluate the parameters as related to its competency in hosting civil structures. A total of thirty rock samples were taken across the geology of the area and subjected to mechanical properties determinations. Magnetic susceptibility measurements were carried out on in-situ fresh rock outcrops and it ranges from 2.1 × 10-4 to 9.5 × 10-4. This signifies the amount of iron content in the rocks and its level of induration. The values of uniaxial compressive strength (UCS), Young’s modulus (E), shear modulus (µ), bulk modulus (K) and Poisson’s ratio (Ѵ) ranges from 49 - 107 MPa, 1003 - 3321 MPa, 416 - 1310 MPa, 707 - 2728 MPa and 0.232 - 0.316, respectively. The cross plots of the mechanical parameters with the magnetic susceptibility exhibit a direct linear relationship. The relationship shows a good correlation with coefficient of correlation (R) ranging from 0.60 to 0.85 for uniaxial compressive strength, bulk modulus and Poisson’s ratio. The magnetic susceptibility relationship with shear and Young’s Modulus are relatively weak with coeffecient of correlation (R) of 0.44 and 0.47, respectively. This implies that, magnetic susceptibility measurement may not be reliably applicable in determination of the stiffness of rocks and the rate of resistance of rocks to prevailing shearing loads. The validation results show that, reliable mechanical properties of rocks can be estimated from magnetic susceptibility measurements using the established empirical equations. Key words: Magnetic, susceptibility, mechanical, properties, rocks.
在尼日利亚西南部的一个典型的基底复杂岩体中,岩石的磁化率和力学性质是相互关联的,目的是建立两个参数相关的经验方程,并评估与土木结构承载能力相关的参数。在整个地区的地质中总共采集了30个岩石样本,并进行了力学特性测定。对露头新鲜岩体进行了磁化率测量,磁化率范围为2.1 × 10-4 ~ 9.5 × 10-4。这表示岩石中的铁含量及其硬化程度。单轴抗压强度(UCS)、杨氏模量(E)、剪切模量(µ)、体积模量(K)和泊松比(Ѵ)的取值范围分别为49 ~ 107 MPa、1003 ~ 3321 MPa、416 ~ 1310 MPa、707 ~ 2728 MPa和0.232 ~ 0.316。力学参数与磁化率的交叉图表现出直接的线性关系。该关系与单轴抗压强度、体模量和泊松比的相关系数(R)在0.60 ~ 0.85之间具有良好的相关性。磁化率与剪切和杨氏模量的关系较弱,相关系数R分别为0.44和0.47。这意味着磁化率测量可能不可靠地适用于确定岩石的刚度和岩石对现行剪切载荷的阻力率。验证结果表明,利用所建立的经验方程,可以从磁化率测量中可靠地估计岩石的力学性质。关键词:磁性,磁化率,力学,性质,岩石
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引用次数: 1
Influence of natural additives and crushed bricks on the physical and mechanical properties of repair and restoration mortars 天然添加剂和碎砖对修复砂浆物理力学性能的影响
Pub Date : 2020-05-31 DOI: 10.5897/ijps2020.4867
Abderrahim Mahindad Naima
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引用次数: 1
Preparation of thermal neutron absorber based B4C/TiO2/polyaniline nanocomposite 热中子吸收剂B4C/TiO2/聚苯胺纳米复合材料的制备
Pub Date : 2020-04-30 DOI: 10.5897/ijps2019.4851
S. H. Hosseini, Mona Tarakameh, S. S. Hosseini
B4C nanoparticles (NPs) have been integrated at that point veiled by TiO2 NPs lastly composited by utilizing polyaniline (PANI), (B4C/TiO2/PANI). Shields of thermal neutrons by B4C/TiO2/PANI have been considered, B4C/TiO2/PANI nanocomposite was described by FTIR spectroscopy, and nanometer size, morphology, and structures of tests were estimated by SEM and XRD. The electric property was additionally performed by the four-test system. The thermal neutron ingestion of nanocomposites was researched at 0.025 eV. The lessening coefficients of neutrons of B4C/TiO2/PANI with various thicknesses were estimated, without advantageous materials. The straight lessening coefficients, level of ingestion and half-esteem thickness (HVT) have been estimated and determined by means of full width at half most extreme (FWHM). Key words: B4C nanoparticles, polyaniline, nanocomposite, thermal neutron absorber.
B4C纳米粒子(NPs)在这一点上被二氧化钛纳米粒子(NPs)所覆盖,最后由聚苯胺(PANI)合成,(B4C/TiO2/PANI)。研究了B4C/TiO2/PANI对热中子的屏蔽作用,利用FTIR光谱对B4C/TiO2/PANI纳米复合材料进行了表征,并利用SEM和XRD对材料的纳米尺寸、形貌和结构进行了表征。另外,通过四测试系统对其电性能进行了测试。研究了0.025 eV下纳米复合材料的热中子吸收。在没有优势材料的情况下,计算了不同厚度的B4C/TiO2/PANI的中子衰减系数。用半极全宽法估计并确定了直减系数、摄入水平和半重厚度。关键词:B4C纳米粒子,聚苯胺,纳米复合材料,热中子吸收剂
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引用次数: 2
Performance assessment of cross polarization models at millimetre wavelengths along EarthSpace path in Nigeria 尼日利亚地球空间路径上毫米波长交叉偏振模式的性能评估
Pub Date : 2020-03-31 DOI: 10.5897/IJPS2019.4858
H. David, M. Ajewole, John Sunday Ojo, A. Adediji
Rain-induced depolarization impairments have been a constraint on the effective use of satellite communication systems at millimetre wave band especially in the tropical regions like Nigeria. This region often experiences high and varying degree of rainfall intensity accompanied with large raindrops due to distortion of raindrops when dual orthogonal polarization is employed to double the channel capacity without increasing the bandwidth. This paper examines the performance of five cross polarization discrimination (XPD) models at millimetre wavelengths over ten (10) different locations in Nigeria using five years climatological data acquired from Tropospheric Observatory Data Acquisition Network (TRODAN) of the Centre for Atmospheric Research (CAR). The performance of five different XPD models namely: recent ITU-R 618-15, old ITU-R-722, SIM, CHU and DHW were tested based on the level of estimated interference due to tropospheric effects. The results revealed that at Ku-band uplink/downlink frequencies (10/14 GHz), the unwanted signals will completely overshadow the co-polarized signal between 0.001 and 0.018% of time for the new ITU-R model at Jos, Yola, Sokoto and Nsukka. However, at fade level between 8.93 and 11.08 dB, the crosstalk is prevalent at the receiving station. Though, the recent ITU-R model received wider acceptance, the performance in this study is ranked the lowest while SIM model displayed the best performance. The study therefore recommends, SIM model as the most preferred model to be adopted in estimating depolarization in this region. However, further experimental data for validation is suggested to substantiate this assertion. Key words: Millimeter waves, cross polarization discrimination (XPD) models, co-polar attenuation, earth-space paths, tropical region.
雨水引起的去极化障碍是有效利用毫米波波段卫星通信系统的一个制约因素,特别是在象尼日利亚这样的热带地区。当采用双正交偏振在不增加带宽的情况下使信道容量翻倍时,由于雨滴的畸变,该区域经常经历高且不同程度的降雨强度并伴有大雨滴。本文利用大气研究中心(CAR)对流层观测站数据采集网络(TRODAN)获得的5年气候数据,研究了尼日利亚10个不同地点的5种毫米波长交叉极化判别(XPD)模式的性能。基于对流层影响的估计干扰水平,测试了五种不同的XPD模型(即最新的ITU-R 618-15、旧的ITU-R 722、SIM、CHU和DHW)的性能。结果表明,在ku波段上行/下行频率(10/14 GHz),新ITU-R模型在Jos, Yola, Sokoto和Nsukka的0.001至0.018%的时间内,不需要的信号将完全掩盖共极化信号。然而,在8.93和11.08 dB之间的衰落电平,串扰在接收站是普遍存在的。虽然最近的ITU-R模型得到了更广泛的接受,但在本研究中,性能排名最低,而SIM模型表现出最佳性能。因此,研究建议,SIM模型作为估计该地区去极化的首选模型。然而,进一步的实验数据验证建议,以证实这一主张。关键词:毫米波,交叉极化鉴别(XPD)模型,共极衰减,地空路径,热带地区
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引用次数: 0
Solar events and seasonal variation of foF2 at Korhogo station from 1992 to 2002 1992 - 2002年Korhogo站foF2的太阳活动和季节变化
Pub Date : 2020-03-31 DOI: 10.5897/IJPS2019.4849
Karim Guibula, J. Zerbo, Salfo Kabor e, F. Ouattara
In this paper we report the effect of solar events (CMEs and solar winds) on foF2 diurnal profiles at Korhogo Station (Long 8.427° W; Lat: 9.336° N; dip: -1.88°) from 1992 to 2002. We reviewed on seasons and all the four geomagnetic activity classes (Quiet activity, recurrent activity, Shock activity, and Fluctuating activity). The results show that (1) Coronal Mass Ejections (CMEs) and high-speed solar winds affect trough around midday on foF2 profiles during winter and spring when fluctuating solar winds have no effect on this characteristic. (2) In autumn, CMEs and solar winds do not affect the nighttime peak, but in winter CMEs, high-stream solar winds and fluctuating solar winds affect this characteristic of foF2 profile. In spring, only storms generated by CMEs and fluctuating solar winds have an effect on the nighttime peak. (3) Most of the time, the ionospheric storms observed at Korhogo station are positive storms and the CMEs always cause stronger positive storms compared to the solar winds effects. We assume that, these storms are mainly related to the combination of the phenomena of rapid penetration eastward electric and equatorward neutral winds during daytime but at nighttime they are mainly related to neutral winds alone. Key words: Geomagnetic activity, trough, peak, positive storm, negative storm.
本文报道了太阳活动(cme和太阳风)对Korhogo站(Long 8.427°W;纬度:9.336°N;倾角:-1.88°),从1992年到2002年。我们回顾了季节和所有四种地磁活动类别(安静活动,周期性活动,冲击活动和波动活动)。结果表明:(1)在冬季和春季,日冕物质抛射(cme)和高速太阳风对foF2剖面午间槽产生影响,而波动太阳风对这一特征没有影响。(2)在秋季,日冕物质抛射和太阳风对夜间峰值没有影响,而在冬季,高流太阳风和波动太阳风对foF2廓线的夜间峰值有影响。在春天,只有日冕物质抛射产生的风暴和波动的太阳风对夜间高峰有影响。(3) Korhogo站观测到的电离层风暴大部分时间为正风暴,日冕物质抛射引起的正风暴总是比太阳风效应更强。我们认为,这些风暴在白天主要与快速渗透的东向电和赤道中性风现象的组合有关,而在夜间主要与中性风单独有关。关键词:地磁活动,槽,峰,正风暴,负风暴。
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引用次数: 1
Evaluation of Factors Influencing Rock fragmentation by Blasting using Interrelations Diagram Method 用关联图法评价爆破破岩影响因素
Pub Date : 2020-03-19 DOI: 10.47941/JPS.382
S. Mulenga
Purpose: The purpose of this study is to develop an interrelations diagram for the factors affecting rock fragmentation by blasting and to determine their theoretical percentage contribution to rock fragmentation by blastingMethodology: In order to develop an interrelations diagram for factors affecting rock fragmentation by blasting, first, factors that affect rock fragmentation by blasting were identified through literature review. Secondly, uncontrollable factors whose influencing factors are difficult to pin point where group into three major categories of hardness factor, joints and in-situ block size. Thirdly, the cause and effect relationship between al factors affecting rock fragmentation were identified. The factors affecting rock fragmentation by blasting were then arranged in an orderly fashion and the arrows indicating the direction of influence were drawn among them. The arrows entering and leaving each factor were counted and count value for each factor was used to calculate the theoretical percentage contribution for each factor.Findings: Based on the Interrelations Diagram method, the top four influential controllable parameters towards rock fragmentation are Burden with 12%, Blasthole diameter with 9%, Powder factor with 7% and Delay timing with 7%. The most influential uncontrollable parameter towards rock fragmentation is Hardness Factor with 4%. It was further revealed that Controllable factors are more influential toward rock fragmentation by blasting than uncontrollable factors. This can be seen from the cumulative percentage contribution of 90% for controllable factors compared to cumulative percentage contribution of 10% for uncontrollable factors.Unique contribution to theory, practice and policy: Application of the interrelation diagram gives insight on how factors affecting rock fragmentation by blasting are generally interrelated and identifies the theoretical percentage contributions of factor towards influencing rock fragmentation by blasting
目的:本研究的目的是建立一个影响爆破破岩因素的相互关系图,并确定它们对爆破破岩的理论贡献百分比。方法:为了建立一个影响爆破破岩因素的相互关系图,首先通过文献综述确定影响爆破破岩的因素。其次,影响因素难以定位的不可控因素分为硬度因素、节理因素和原位块体尺寸三大类。再次,确定了影响岩石破碎的各因素之间的因果关系。然后对影响爆破破岩的因素进行有序排列,并在各因素之间画出指示影响方向的箭头。对进入和离开各因子的箭头进行计数,并利用各因子的计数值计算各因子的理论贡献率百分比。结果:基于关联图法,对破岩影响最大的4个可控参数分别为:料重(12%)、炮眼直径(9%)、粉重因子(7%)和延迟时间(7%)。对岩石破碎影响最大的不可控参数是硬度系数,为4%。进一步揭示了可控因素比不可控因素对爆破破岩的影响更大。这可以从可控因素的累计百分比贡献90%和不可控因素的累计百分比贡献10%中看出。对理论、实践和政策的独特贡献:相互关系图的应用揭示了影响爆破破岩的因素通常是如何相互关联的,并确定了影响爆破破岩的因素的理论贡献百分比
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引用次数: 4
Estimation of swelling potential of Enugu Shale using cost effective methods 利用经济有效的方法估算Enugu页岩的膨胀潜力
Pub Date : 2020-02-29 DOI: 10.5897/ijps2020.4865
Chidiebere H. Nnamani, O. Igwe
The behavior of swelling soils is mainly governed by its mineralogical composition as well as its environmental factors and stress history. Enugu Shale is one of these shales that assessment of its soil swelling potential cannot only be based on its mineralogical composition alone. The identification of its clay mineral types is basic to understand the roles of other factors of swelling in the soils. The results of particle size distribution indicated that Enugu Shale is dominated by fine-grains with average mean of 69.65, 23.68 sands and 6.67% gravels. While the Atterberg’s limit values are moderate to high, with liquid limit ranging from 22-66%, plastic limit 0-39% and plasticity index 0-39%, abundance of major elemental oxides show that SiO2 (50.4-88.1%), Al2O3 (6.29-28.23%) and Fe2O3 (0.98-12.25%) constitute over 90% of the bulk chemical compositions of the studied area. The studied area is dominated by A-7 soils and low plasticity clay soils according to AASHTO and USCS classification system. The results of free swell ratio range from 1.02-1.45 which indicates that studied area is dominated by mixture of swelling and non-swelling clay minerals. The Van der Merwe’s charts shows low to medium swelling potential. These results show that the study area is dominated by low to medium swelling soils which need to be modified and upgraded before it can be used as subgrade material. Key words: Swelling potential, Enugu Shale, free swelling ratio, correlation and Van der Merwe’s chart.
膨胀土的行为主要受其矿物组成、环境因素和应力历史的影响。Enugu页岩是其中的一种页岩,其土壤膨胀潜力的评估不能仅基于其矿物组成。其粘土矿物类型的确定是了解其他因素在土壤中膨胀作用的基础。粒度分布结果表明,埃努古页岩以细粒为主,平均砂粒含量为69.65、23.68,砾石含量为6.67%。Atterberg极限值为中高,液态极限值为22 ~ 66%,塑性极限值为0 ~ 39%,塑性极限值为0 ~ 39%,主要元素氧化物丰度表明,SiO2(50.4 ~ 88.1%)、Al2O3(6.29 ~ 28.23%)和Fe2O3(0.98 ~ 12.25%)占研究区整体化学成分的90%以上。根据AASHTO和USCS分类系统,研究区以A-7土和低塑性粘土土为主。自由膨胀比为1.02 ~ 1.45,表明研究区以溶胀型和非溶胀型粘土矿物混合为主。Van der Merwe图表显示低至中等膨胀势。结果表明,研究区以中低膨胀土为主,需要对其进行改造和升级,才能作为路基材料。关键词:膨胀势,埃努古页岩,自由膨胀比,对比,Van der Merwe图
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引用次数: 0
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International Journal of Physical Sciences
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