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Journal articles on the topic 'Inclined Impact'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Zohrabi Chakaneh, J., S. M. Javid, and M. Passandideh-Fard. "Surface roughness effect on droplet impact characterization: Experimental and theoretical study." Journal of Mechanical Engineering and Sciences 13, no. 2 (2019): 5104–25. http://dx.doi.org/10.15282/jmes.13.2.2019.23.0420.

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In this paper, the effect of surface roughness on the both normal and inclined droplet impact is investigated experimentally by image processing. The impingement of water droplets with 2.9 mm diameter and 1m/s velocity impacting on three types of stainless steel surfaces with respective arithmetic average surface roughness values of 2.24 μm (Smooth), 6.04 (Medium) and 30.2 (Rough) is examined using a high-speed camera. The dynamic behavior of the impact including droplet deformation, the maximum spreading diameter and length, contact angle and the number of fingers are studied. Experimental re

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2

Elias, Randjbaran, Zahari Rizal, Laila Majid Dayang, Thariq Hameed Sultan Mohamed, and Mazlan Norkhairunnisa. "RESEARCH PAPER IN LITERATURE OF INCREASING THICKNESS BY INCLINED TARGET." International Journal of Engineering Science Technologies 1, no. 1 (2017): 20–30. https://doi.org/10.5281/zenodo.273484.

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This paper displays the discoveries of the scientists about the impacts of slanted protection in ballistic effect resistance. The rule favoured stance to ascertaining the cautious layer of a composite plate is that it assembles the Line-of-Sight (LOS) thickness of the plate. Another favoured viewpoint of having slanted fortification is that it has a much higher plausibility of diverting shots than a vertical plate of tantamount thickness.

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3

Šikalo, Š., C. Tropea, and E. N. Ganić. "Impact of droplets onto inclined surfaces." Journal of Colloid and Interface Science 286, no. 2 (2005): 661–69. http://dx.doi.org/10.1016/j.jcis.2005.01.050.

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4

Medi?, M., and J. Peklenik. "Inclined planing impact on surface morphology." Holz als Roh- und Werkstoff 61, no. 3 (2003): 189–200. http://dx.doi.org/10.1007/s00107-002-0339-4.

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5

LeClear, Sani, Johnathon LeClear, Abhijeet, Kyoo-Chul Park, and Wonjae Choi. "Drop impact on inclined superhydrophobic surfaces." Journal of Colloid and Interface Science 461 (January 2016): 114–21. http://dx.doi.org/10.1016/j.jcis.2015.09.026.

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6

Del Vecchio, Luke, John Whitting, Jennifer Hollier, Annabelle Keene, and Mike Climstein. "Reliability and Practical Use of a Commercial Device for Measuring Punch and Kick Impact Kinetics." Sports 10, no. 12 (2022): 206. http://dx.doi.org/10.3390/sports10120206.

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Martial arts, boxing and combat sports such as mixed martial arts participation have gained popularity in recent years internationally. One common aspect to these sports is the training and skill in maximizing strike impact of punches and kicks, referred to as impact kinetics, with commercial devices now available to assess punching and kicking power in athletes training facilities and gyms. We, therefore, assessed the reliability of a commercial device, the PowerKubeTM (Strike Research Ltd., Norwich, England) via the technical error of measurement (TEM) in both linear and non-linear simulated

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7

Reham K. Jaafar, M. A. Abdelrahman, Mina G. Mourad, Adnan A. Ateeq, and M. Moawed. "Modified Trailing Edge Impact on the Aerodynamic Performance of Wind Turbine Airfoil." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 91, no. 2 (2022): 133–44. http://dx.doi.org/10.37934/arfmts.91.2.133144.

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One of the most important factors affecting wind turbine performance is the airfoil. The impact of the NACA 0012 trailing edge design on airfoil performance is investigated numerically in this paper. Computational fluid dynamics calculations are used to design and simulate the airfoils. The thick trailing edge is inclined to various angles to achieve further improvement in the lift/drag ratio and lift coefficient. The results reveal that, when compared with baseline airfoil, all the designed airfoils demonstrated higher lift coefficients. The lift coefficient increases with the angle of the in

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8

Srivastava, Tushar, Santosh Kumar Jena, and Sasidhar Kondaraju. "Droplet Impact and Spreading on Inclined Surfaces." Langmuir 37, no. 46 (2021): 13737–45. http://dx.doi.org/10.1021/acs.langmuir.1c02457.

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9

Wang, Yujie, Ayoub El Bouhali, Sijia Lyu, et al. "Leidenfrost drop impact on inclined superheated substrates." Physics of Fluids 32, no. 11 (2020): 112113. http://dx.doi.org/10.1063/5.0027115.

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10

Heibges, Lars, and Hamid Sadegh-Azar. "Inclined projectile impact on reinforced concrete structures." Nuclear Engineering and Design 438 (July 2025): 114043. https://doi.org/10.1016/j.nucengdes.2025.114043.

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11

Kocher, Lydia M., Jonisha P. Pollard, Ashley E. Whitson, and Mahiyar F. Nasarwanji. "Effects of Metatarsal Work Boots on Gait During Level and Inclined Walking." Journal of Applied Biomechanics 36, no. 5 (2020): 284–91. http://dx.doi.org/10.1123/jab.2019-0338.

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Footwear plays an important role in worker safety. Work boots with safety toes are often utilized at mine sites to protect workers from hazards. Increasingly, mining operations require metatarsal guards in addition to safety toe protection in boots. While these guards provide additional protection, the impact of metatarsal guards on gait are unknown. This study aimed to measure the effects of 4 safety work boots, steel toe, and steel toe with metatarsal protection in wader- and hiker-style boots, on level and inclined walking gait characteristics, during ascent and descent. A total of 10 parti

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12

Ma, Zhou, Ren, and Zhai. "A Comprehensive Study of the Wave Impact Loads on an Inclined Plate." Journal of Marine Science and Engineering 7, no. 4 (2019): 103. http://dx.doi.org/10.3390/jmse7040103.

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Water wave impact on a wet deck is an important issue in ocean engineering, and the plate-shaped structure in the splash zone tends to suffer tremendous impact loads. This work presents a method for predicting the wave slamming uplift force on a fixed plate with different inclined angles. Both numerical simulation and the scale model test of the wave impact loads on an inclined plate were performed, and a good agreement was obtained. In addition, the influence of three important wave parameters on the slamming uplift force was systematically investigated: relative deck width B/LS, relative wav

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13

Cahya, E. N., R. Haribowo, and E. Arifi. "Inclined porous concrete surface impact on infiltration using recycled concrete aggregate." IOP Conference Series: Earth and Environmental Science 930, no. 1 (2021): 012100. http://dx.doi.org/10.1088/1755-1315/930/1/012100.

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Abstract Predicting the infiltration rate on inclined surfaces is a pending case, especially when compared to rain intensity. The inclined surface has less ability to generate ponding, leading to higher runoff and higher erosion rates. In the rainy season, on the highway with a very steep slope, erosion usually occurs and becomes very dangerous. By using porous concrete, it is expected to receive higher infiltration and less runoff. This study aimed to determine the impact of the inclined surface of porous concrete on infiltration capacity. The research was conducted using both natural coarse

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14

Yang, Zhichao, Feiyang He, and Muhammad Khan. "An Empirical Torsional Spring Model for the Inclined Crack in a 3D-Printed Acrylonitrile Butadiene Styrene (ABS) Cantilever Beam." Polymers 15, no. 3 (2023): 496. http://dx.doi.org/10.3390/polym15030496.

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This paper presents an empirical torsional spring model for the inclined crack on a 3D-printed ABS cantilever beam. The work outlined deals mainly with our previous research about an improved torsional spring model (Khan-He model), which can represent the deep vertical (90°) crack in the structure. This study used an experimental approach to investigate the relationships between the crack angle and torsional spring stiffness. ABS cantilever beams with different crack depths (1, 1.3 and 1.6 mm) and angles (30, 45, 60, 75 and 90°) were manufactured by fused deposition modelling (FDM). The impact

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15

Zhang, Jie, Zheng Liang, and Chuanjun Han. "Numerical Simulation of Pipeline Deformation Caused by Rockfall Impact." Scientific World Journal 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/161898.

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Rockfall impact is one of the fatal hazards in pipeline transportation of oil and gas. The deformation of oil and gas pipeline caused by rockfall impact was investigated using the finite element method in this paper. Pipeline deformations under radial impact, longitudinal inclined impact, transverse inclined impact, and lateral eccentric impact of spherical and cube rockfalls were discussed, respectively. The effects of impact angle and eccentricity on the plastic strain of pipeline were analyzed. The results show that the crater depth on pipeline caused by spherical rockfall impact is deeper

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16

Dorogoy, A., D. Rittel, and A. Brill. "A study of inclined impact in polymethylmethacrylate plates." International Journal of Impact Engineering 37, no. 3 (2010): 285–94. http://dx.doi.org/10.1016/j.ijimpeng.2009.06.013.

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17

Zhang, Yanyan, and Xilin Fu. "On periodic motions of an inclined impact pair." Communications in Nonlinear Science and Numerical Simulation 20, no. 3 (2015): 1033–42. http://dx.doi.org/10.1016/j.cnsns.2014.06.025.

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18

Zen, Tain-Shi, Fu-Chu Chou, and Ju-Lung Ma. "Ethanol drop impact on an inclined moving surface." International Communications in Heat and Mass Transfer 37, no. 8 (2010): 1025–30. http://dx.doi.org/10.1016/j.icheatmasstransfer.2010.05.003.

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19

AL-Bukhaiti, Khalil, Liu Yanhui, Zhao Shichun, et al. "Effect of the axial load on the dynamic response of the wrapped CFRP reinforced concrete column under the asymmetrical lateral impact load." PLOS ONE 18, no. 6 (2023): e0284238. http://dx.doi.org/10.1371/journal.pone.0284238.

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This study investigated the impact of axial load on the dynamic response of reinforced concrete (RC) members to asymmetrical lateral impact loads. A series of asymmetrical-span impact tests were conducted on circular and square RC members with and without Carbon Fiber Reinforced Polymers (CFRP) while varying the axial compression ratios. The impact process was simulated using ABAQUS software, and the time history curves of deflection and impact were measured. The study found that specific impact loads caused bending and shearing failures. The axial compression ratio ranged from 0.05 to 0.13 wh

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20

Zhang, Yanyan, and Xilin Fu. "Stability of periodic motions in an inclined impact pair." European Physical Journal Special Topics 228, no. 6 (2019): 1441–57. http://dx.doi.org/10.1140/epjst/e2019-800237-6.

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21

Mohapatra, P. K., S. Murty Bhallamudi, and V. Eswaran. "Numerical Simulation of Impact of Bores against Inclined Walls." Journal of Hydraulic Engineering 126, no. 12 (2000): 942–45. http://dx.doi.org/10.1061/(asce)0733-9429(2000)126:12(942).

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22

Goel, A., and V. S. Deshpande. "Impact of High-velocity Granular Media on Inclined Targets." Procedia Engineering 173 (2017): 41–48. http://dx.doi.org/10.1016/j.proeng.2016.12.018.

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23

Takizawa, Shinta, Hirofumi Niiya, Takahiro Tanabe, Hiraku Nishimori, and Hiroaki Katsuragi. "Impact-induced collapse of an inclined wet granular layer." Physica D: Nonlinear Phenomena 386-387 (January 2019): 8–13. http://dx.doi.org/10.1016/j.physd.2018.08.002.

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24

Khoi, Phan Van. "Dynamic amplification factor in the problem of inclined impact." Vietnam Journal of Mechanics 22, no. 2 (2000): 124–28. http://dx.doi.org/10.15625/0866-7136/9970.

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The purpose of this article is to investigate an advanced method for presentation of the impact problem between the rigid body and the elastic beam. Results show that this method gives a solution which is more general than the solutions illustrated in the textbook of Strength of Materials. The developed formulations may expand the applied sphere of the dynamic amplification factor (DAF), kd as in the case of driving inclined piles.

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25

Cui, Jie, Xueli Chen, Fuchen Wang, Xin Gong, and Zunhong Yu. "Study of liquid droplets impact on dry inclined surface." Asia-Pacific Journal of Chemical Engineering 4, no. 5 (2009): 643–48. http://dx.doi.org/10.1002/apj.309.

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26

Syu, Jia-Jia, and Liang-Cheng Zhang. "Impact of Differential-Item-Functioning on the Personal Epistemological Beliefs for Senior High School Students." European Journal of Psychological Assessment 33, no. 1 (2017): 22–29. http://dx.doi.org/10.1027/1015-5759/a000268.

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Abstract. The purpose of this study is to investigate whether the expression of items used to examine personal epistemological beliefs could affect the probabilities of response for compared groups and research outcomes. Differential-item-functioning (DIF) analysis on school types and location of school according to the Rasch model was performed in this study. Nonacademically inclined school students (n = 212) and academically inclined school students (n = 197) were selected to complete the questionnaire. The questionnaire consisted of three dimensions of beliefs about knowing and two dimensio

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27

Huang, Quan Hua, Hong Jun Ding, and Xing Yu Lin. "A productivity prediction method for condensate gas reservoir." E3S Web of Conferences 213 (2020): 02001. http://dx.doi.org/10.1051/e3sconf/202021302001.

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At present, multiphase flow productivity calculation requires many parameters, and most of them only consider oil and gas two-phase flow, which is complicated and limited. Therefore, a reasonable productivity formula of condensate gas reservoir with producing water is needed. The three-zone model of condensate gas reservoirs is generally applied to the physical model for inferring productivity. On this basis, an improved model is established, which includes that different seepage characteristics are considered for different zones. Moreover, the effects of inclined angle and water production on

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28

Deng, Yumeng, Miao Jin, Lisha Dong, Jiakun Tan, and Chao Ni. "Investigations into Effects of Inclined Channels on the Forced Foam Drainage." Separations 12, no. 2 (2025): 43. https://doi.org/10.3390/separations12020043.

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Gangue particle entrainment during flotation remains a significant challenge in mineral processing. Previous studies have shown that incorporating inclined plates into the froth zone can reduce the recovery of fine gangue particles. However, the effects of inclined channels on froth drainage have not been fully investigated. This study employed a custom-designed forced drainage system to systematically examine the impact of inclined channels on foam drainage and the underlying mechanisms. Results revealed that, at an SDS solution injection flow rate of 36 mL/min and an inclined channel angle o

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29

Kinate, Bright, and Somiari Epelle. "Investigation of the Impact of Wellbore Trajectory on the Onset of Liquid Loading." Journal of Earth Energy Science, Engineering, and Technology 7, no. 2 (2024): 53–59. http://dx.doi.org/10.25105/jeeset.v7i2.21112.

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Liquid loading phenomenon and the influencing factors requires adequate investigation to avoid it and continue production without dropout. It is important to accurately predict liquid loading at an early stage and also when and where it starts to occur in the well in order to put together a suitable solution to combat it. In this work, the impact of wellbore trajectory on the onset of liquid loading in gas wells was investigated. Numerical simulation approach was adopted with two case scenarios of a wellbore model, “trajectory_1” inclined at 45.33° and a second wellbore model “trajectory_2” in

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30

Hu, Zhifeng, Fuqiang Chu, Yukai Lin, and Xiaomin Wu. "Contact Time of Droplet Impact on Inclined Ridged Superhydrophobic Surfaces." Langmuir 38, no. 4 (2022): 1540–49. http://dx.doi.org/10.1021/acs.langmuir.1c03001.

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31

Mizrahi, Guy, Alex Furman, and Noam Weisbrod. "Infiltration under Confined Air Conditions: Impact of Inclined Soil Surface." Vadose Zone Journal 15, no. 9 (2016): vzj2016.04.0034. http://dx.doi.org/10.2136/vzj2016.04.0034.

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32

Jo, Jong-Hyun, and Young-Shin Lee. "A Study of Failure Mechanism for Inclined Impact of PELE." Journal of the Korea Institute of Military Science and Technology 15, no. 5 (2012): 712–19. http://dx.doi.org/10.9766/kimst.2012.15.5.712.

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33

JO, JONG-HYUN, and YOUNG-SHIN LEE. "A STUDY OF RICOCHET PHENOMENON FOR INCLINED IMPACT OF PROJECTILE." International Journal of Modern Physics: Conference Series 06 (January 2012): 443–48. http://dx.doi.org/10.1142/s2010194512003583.

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In this study, the numerical simulation using AUTODYN-3D program was investigated for trajectory prediction for inclined impacts of projectiles. The penetration and perforation of polycarbonate( PC ) plate by 7.62 mm projectile was investigated numerically. The characteristic structure of the projectile's trajectory in the PC plates was studied. Two combined failure criteria were used in the target plate, and the target plate was modeled with the properties of polycarbonate for simulating the ricochet phenomenon. The numerical analyses were used to study the effect of the angle of inclination

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34

Jiang, Mengcheng, and Biao Zhou. "Numerical Study of Droplet Impact on Inclined Surface: Viscosity Effects." ECS Transactions 83, no. 1 (2018): 127–36. http://dx.doi.org/10.1149/08301.0127ecst.

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35

Heiman, M. S., P. J. Sherman, and A. K. Bajaj. "On the dynamics and stability of an inclined impact pair." Journal of Sound and Vibration 114, no. 3 (1987): 535–47. http://dx.doi.org/10.1016/s0022-460x(87)80022-6.

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36

Gao, Qing. "Impact of electrode length on EDM inclined hole drilling process." International Journal of Advanced Manufacturing Technology 94, no. 1-4 (2017): 1171–75. http://dx.doi.org/10.1007/s00170-017-0937-2.

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37

Kyner, Anne, Vikram S. Deshpande, and Haydn N. G. Wadley. "Impulse transfer during granular matter impact with inclined sliding surfaces." International Journal of Impact Engineering 130 (August 2019): 79–96. http://dx.doi.org/10.1016/j.ijimpeng.2019.04.003.

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38

Yeong, Yong Han, James Burton, Eric Loth, and Ilker S. Bayer. "Drop Impact and Rebound Dynamics on an Inclined Superhydrophobic Surface." Langmuir 30, no. 40 (2014): 12027–38. http://dx.doi.org/10.1021/la502500z.

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39

Arogeti, Merav, Diana Sher, and Eran Sher. "Drop impact on a small target with an inclined plane." Experimental Thermal and Fluid Science 99 (December 2018): 140–48. http://dx.doi.org/10.1016/j.expthermflusci.2018.07.020.

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40

Sahoo, Nilamani, Gargi Khurana, A. R. Harikrishnan, Devranjan Samanta, and Purbarun Dhar. "Post impact droplet hydrodynamics on inclined planes of variant wettabilities." European Journal of Mechanics - B/Fluids 79 (January 2020): 27–37. http://dx.doi.org/10.1016/j.euromechflu.2019.08.013.

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41

Fu, Xilin, and Yanyan Zhang. "Stick motions and grazing flows in an inclined impact oscillator." Chaos, Solitons & Fractals 76 (July 2015): 218–30. http://dx.doi.org/10.1016/j.chaos.2015.04.005.

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42

Bapat, C. N. "The general motion of an inclined impact damper with friction." Journal of Sound and Vibration 184, no. 3 (1995): 417–27. http://dx.doi.org/10.1006/jsvi.1995.0325.

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43

Shangben, Bai, Tian Wanliang, and Chang Chunhui. "Practice of Optimizing and Adjusting the Single Width of Railed Transport Inclined Shaft in Dabashan Tunnel." Journal of Electrical Electronics Engineering 3, no. 6 (2024): 01–09. https://doi.org/10.33140/jeee.03.06.09.

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This thesis studies the optimization of the right width of the ventilation inclined shaft of Dabashan Tunnel, according to the results of the tunnel site investigation, combined with the mountainous terrain to adjust the location of the inclined shaft opening, and the intersection location with the main line, optimize the original design of the inclined shaft of 670m, longitudinal slope -33%, to an inclined shaft of 1,582m, combined longitudinal slope -9.6%, to achieve the purpose of the change from the tracked to the rail-free transportation system, this paper analyzes the technical advantage

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44

Turanov, Khabibulla, Yadgor Ruzmetov, and Natalia Vlasova. "Calculating cargo securing elements on a railway platform under the impact of a spatial force system." E3S Web of Conferences 135 (2019): 02006. http://dx.doi.org/10.1051/e3sconf/201913502006.

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Form a design (or dynamic) model on the basis of studying the physical model of a mechanical system (object); build mathematical models of cargo securing with inclined side surfaces of stop elements (bars) with simultaneous influence of longitudinal and lateral forces; perform a mathematical solution of the problem in the form of specific analytical formulas for calculating inclined stop bars as one of the cargo securing elements on the railway platform; make a specific example of the calculation of the forces acting on the cargo securing elements.

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45

Fedoskina, Olena, Valerii Fedoskin, and Anastasiia Loginova. "The issue of loading the material in a vibro-impact grinder." E3S Web of Conferences 109 (2019): 00024. http://dx.doi.org/10.1051/e3sconf/201910900024.

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The article discusses the basic principles of force loading of a material in a vibro-impact grinder with a vertical and inclined working chamber. It is shown that in a grinder with a vertical working chamber the control of the material loading is limited by the presence of a relationship between the vertical and rotational oscillations of the jaws. Vibro-impact grinder with an inclined working chamber represents a new class of machines. A mathematical model of the process of interaction of the jaw with a piece of material when moving it in the working chamber is presented. Equations and graphi

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46

Dao, Doan Viet. "Behavior of twin inclined shafts excavated for +30 levels surface stability in Ha Lam coal mine." Journal of Mining and Earth Sciences 63, no. 3a (2022): 87–94. http://dx.doi.org/10.46326/jmes.2022.63(3a).10.

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The process of excavating roadway, shafts, and exploiting coal seams located near the ground may cause subsidence of the ground surface, cracking, damage to structures on the surface. Therefore, it is necessary to rely on the specific conditions of the site to calculate and forecast the level of impact on the works on the surface, ground subsidence when excavated roadway, shafts, exploiting coal seams located near the ground. Based on the topographical conditions, geological hydrogeological conditions and current status of works on the surface, the technical design of the excavation of the twi

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47

Zhou, Yadong, Youchao Sun, and Tianlin Huang. "Impact-Damage Equivalency for Twisted Composite Blades with Symmetrical Configurations." Symmetry 11, no. 10 (2019): 1292. http://dx.doi.org/10.3390/sym11101292.

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In spite of potential advantages for aircraft structures, composite laminates can be subjected to bird-strike hazard in civil aviation. For purpose of future surrogate experiments, in this study, impact-damage equivalency for twisted composite blades is numerically investigated by Smoothed Particle Hydrodynamics (SPH) and finite element method (FEM). Cantilever slender flat plates are usually used for basic impact tests, the impact-damage equivalency is being considered by comparing damage modes and energies of three impact configurations: (1) twisted blade; (2) flat blade (axisymmetric); and

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48

Sun, Qian, Hao Yuan, Lei Jiang, Guangxiang Xu, and Xujin Zhang. "Numerical Simulations of Air Cavities in Inclined Plunging Jets." Mathematical Problems in Engineering 2020 (October 5, 2020): 1–15. http://dx.doi.org/10.1155/2020/5296531.

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The dynamic process of circular water jets plunging into a quiescent pool was analyzed in this study based on the RNG k∼ε turbulence model and VOF method. The effects of jet velocity and inclination angles relative to horizontal on the cavity shapes and sizes were analyzed. The simulation successfully captured the formation, development, pinch-off, and disintegration phenomena of cavities. The shape of the cavity is mainly affected by the impact angle, while the impact velocity mainly affects the size of the cavity. The cavity pinch-off initially appears at a certain point in any direction for

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49

Guo, Can, Baicang Liu, Chen Chen, et al. "Development of an efficient approach for separating bubbles and flocs in a submerged membrane ultrafiltration process." Water Supply 18, no. 3 (2017): 808–18. http://dx.doi.org/10.2166/ws.2017.153.

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Abstract This work was carried out to investigate the impact of air scouring and membrane configuration on ultrafiltration (UF) performance in a hybrid process of coagulation-UF. To eliminate the adverse impacts of air scouring, the concept of separating flocs in the submerged membrane module was proposed. The performance of three types of floc separation devices, including a cylinder module, a module without a floc separation device and a stacked inclined plate module, was compared. In the coagulation-UF process (i.e., without air scouring), the average transmembrane pressure (TMP) growth rat

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50

Jiang, Lichun, Haoyu Ji, and Luanluan Xue. "Shaft Wall Damage to High-Depth Inclined Ore Passes under Impact Wear Behavior." Applied Sciences 13, no. 24 (2023): 13065. http://dx.doi.org/10.3390/app132413065.

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In order to study shaft wall damage resulting from ore drawing in ore passes, a theoretical model for predicting the shaft wall damage to high-depth inclined ore passes is constructed based on field surveys of 25 ore passes in a deep mine in Yunnan, China. The mathematical expression of the total shaft wall damage volume is derived using the contact mechanics theory. Considering the structural characteristics of ore passes, and taking No. 1, 2, 3, and 9 ore passes as examples, combined with numerical simulation and an engineering case, the rationality of the proposed theoretical model is verif

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