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1

Petroski, Henry. "Pyramids as Inclined Planes." American Scientist 92, no. 3 (2004): 1. http://dx.doi.org/10.1511/2004.47.1.

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2

Glaister, P. "Projectiles on inclined planes." Physics Education 27, no. 5 (September 1992): 269–72. http://dx.doi.org/10.1088/0031-9120/27/5/006.

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3

Nunes, A. M., and J. P. Silva. "Tilted boxes on inclined planes." American Journal of Physics 68, no. 11 (November 2000): 1042–49. http://dx.doi.org/10.1119/1.1286047.

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4

Deters, Kelly. "An Inquiry Lab on Inclined Planes." Physics Teacher 43, no. 3 (March 2005): 177–79. http://dx.doi.org/10.1119/1.1869430.

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5

Cassar, C., M. Nicolas, and O. Pouliquen. "Submarine granular flows down inclined planes." Physics of Fluids 17, no. 10 (2005): 103301. http://dx.doi.org/10.1063/1.2069864.

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6

Ruyer-Quil, C., and P. Manneville. "Modeling film flows down inclined planes." European Physical Journal B 6, no. 2 (November 1998): 277–92. http://dx.doi.org/10.1007/s100510050550.

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7

Sheppard, Scott S., and David C. Jewitt. "The Abundant Irregular Satellites of the Giant Planets." Highlights of Astronomy 13 (2005): 898–900. http://dx.doi.org/10.1017/s1539299600017469.

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AbstractIrregular satellites have eccentric orbits that can be highly inclined or even retrograde relative to the equatorial planes of their planets. These objects cannot have formed by circumplanetary accretion as did the regular satellites which follow un-inclined, nearly circular, pro-grade orbits. Instead, they are likely products of early capture from heliocentric orbit. The study of the irregular satellites provides a unique window on processes operating in the young solar system. Recent discoveries around Jupiter (45 new satellites), Saturn (13), Uranus (9), and Neptune (5) have almost increased the number of known irregular satellites by a factor of ten and suggest that the gas and ice giant planets all have fairly similar irregular satellite systems. Dynamical groupings were most likely produced by collisional shattering of precursor objects after capture by their planets. Jupiter is considered as a case of special interest. Its proximity allows us to probe the fainter, smaller irregular satellites to obtain large population statistics in order to address the questions of planet formation and capture.
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8

Chen, Liheng, and William Wei. "Motion of Polygonal Prisms Down Inclined Planes." STEM Fellowship Journal 3, no. 2 (December 1, 2017): 1–16. http://dx.doi.org/10.17975/sfj-2017-017.

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An experiment was carried out to determine the rolling times of square, hexagonal and circular prisms down inclined ramps of various angles. Each roll was recorded on video and rolling times were determined by counting frames. A model was created to predict the times of descent for n-sided prisms under the assumption of persistent contact between prism and ramp. A second model was created without this assumption. Animations of the prisms’ motion were created according to the models. Predicted times of the models approached experimental times for polygonal prisms as the number of sides increased. Notable properties of the rolling motions are discussed, and reasons for discrepancies between models and results are addressed.
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9

‘t Mannetje, D. J. C. M., C. U. Murade, D. van den Ende, and F. Mugele. "Electrically assisted drop sliding on inclined planes." Applied Physics Letters 98, no. 1 (January 3, 2011): 014102. http://dx.doi.org/10.1063/1.3533362.

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10

Lord, Nick. "Two quick observations about rough inclined planes." Mathematical Gazette 102, no. 554 (June 18, 2018): 352–53. http://dx.doi.org/10.1017/mag.2018.80.

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11

Ruyer-Quil, C., and P. Manneville. "Improved modeling of flows down inclined planes." European Physical Journal B 15, no. 2 (May 2000): 357–69. http://dx.doi.org/10.1007/s100510051137.

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12

Boué, Gwenaël, and Daniel C. Fabrycky. "Spin-orbit angle in compact planetary systems perturbed by an inclined companion. Application to the 55 Cancri system." Proceedings of the International Astronomical Union 9, S310 (July 2014): 62–65. http://dx.doi.org/10.1017/s1743921314007844.

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AbstractThe stellar spin orientation relative to the orbital planes of multiplanet systems are becoming accessible to observations. For example, 55 Cancri is a system composed of 5 planets orbiting a member of a stellar binary for which a projected obliquity of 72±12 ° relative to the orbit of the innermost planet has been reported (Bourrier & Hébrard 2014). This large obliquity has been attributed to the perturbation induced by the binary. Here we describe the secular evolution of similar systems and we discuss the case of the 55 Cancri system more deeply. We provide two different orbital configurations compatible with the currently available observations.
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13

Pavlica, Zlatko, and Vojteh Cestnik. "Management of Lingually Displaced Mandibular Canine Teeth in Five Bull Terrier Dogs." Journal of Veterinary Dentistry 12, no. 4 (December 1995): 127–29. http://dx.doi.org/10.1177/089875649501200409.

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Lingually displaced mandibular canine teeth (304, 404) were treated by applying inclined planes in five bull terrier dogs aged 10–19 months. The inclined planes produced interrupted tipping forces and were left in place for 3 weeks. The orthodontic movement technique successfully resolved the malocclusions. In two cases the treatment had to be repeated, perhaps because the animals were 10 and 12 months old and the device was removed too early. Canine teeth occlusion was normal in all five dogs when last examined 3 months following completion of treatment.
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14

Prato, A., F. Mazzoleni, and A. Schiavi. "Evaluation and correction of systematic effects in a simultaneous 3-axis vibration calibration system." ACTA IMEKO 9, no. 5 (December 31, 2020): 388. http://dx.doi.org/10.21014/acta_imeko.v9i5.1007.

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This paper presents a calibration method, recently realized at INRIM, suitable for the calibration of 3-axis accelerometers in frequency domain. The procedure, allows to simultaneously evaluate the main and transverse sensitivities on three axes by means of a single-axis vibration excitation of inclined planes. Nevertheless, the excitation system is subjected to spurious motions mainly due to the vibrational modes of the inclined planes and to the horizontal motions of the shaker. In order to provide the proper sensitivities to the 3-axis sensors, the evaluation of systematic effects is experimentally carried out and the related correction is proposed.
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15

Zhang, Lin, Baoyu Wang, Enguang Guan, Xun Liu, Muhammad Saqib, and Yanzheng Zhao. "Adaptive Skid-Steering Control Approach for Robots on Uncertain Inclined Planes with Redundant Load-Bearing Mobility." Biomimetics 9, no. 2 (January 23, 2024): 64. http://dx.doi.org/10.3390/biomimetics9020064.

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Climbing manufacturing robots can create a revolutionary manufacturing paradigm for large and complex components, while the motion control of climbing manipulation-oriented robots (CMo-Rs) is still challenging considering anti-slippage problems. In this study, a CMo-R with full-scenery climbing capability and redundant load-bearing mobility is designed based on magnetic adsorption. A four-wheel kinematic model considering the slipping phenomenon is established. An adaptive kinematic control algorithm based on slip estimation using Lyapunov theory is designed for uncertain inclined planes. For comparison, the traditional PID-based algorithm without slip consideration is implemented as well. Numeric simulations are conducted to tackle the trajectory tracking problems for both circular and linear trajectories on the horizontal plane (HP), 50° inclined plane (50° IP), 60° inclined plane (60° IP), and vertical plane (VP). The results prove that our approach achieves better tracking accuracy. It demonstrated applicability in various climbing scenarios with uncertain inclined planes. The results of experiments also validate the feasibility, applicability, and stability of the proposed approach.
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16

Govindhan, Elumalai, A. S. Ganeshraja, B. Bhavana, Krishnamoorthy Anbalagan, and Arunachalam SubbiahPandi. "catena-Poly[[[bis(1H-imidazole-κN3)zinc(II)]-μ2-imidazol-1-ido-κ2N:N′] nitrate]." Acta Crystallographica Section E Structure Reports Online 70, no. 8 (July 11, 2014): m298—m299. http://dx.doi.org/10.1107/s1600536814015232.

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The title compound, {[Zn(C3H3N2)(C3H4N2)2]NO3}n, is a one-dimensional coordination polymer along [01-1] with the ZnIIatom coordinating to four imidazole/imidazolide rings. The ZnIIatom has a regular tetrahedral geometry with the planes of the two monodentate imidazole rings inclined to one another by 87.94 (17)°, while the planes of the bridging imidazolide rings are inclined to one another by 39.06 (17)°. In the crystal, the chains are linkedviabifurcated N—H...(O,O) hydrogen bonds, forming sheets parallel to (001). These two-dimensional networks are linkedviaC—H...O hydrogen bonds and a C—H...π interaction, forming a three-dimensional structure.
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17

Zhao, Yan, Jianchao Yuan, Jie Zhao, and Shenglan Zhao. "Crystal structure of (2E,3E)-N2,N3-bis(3-ethyl-[1,1′-biphenyl]-4-yl)butane-2,3-diimine." Acta Crystallographica Section E Crystallographic Communications 71, no. 4 (March 21, 2015): o251—o252. http://dx.doi.org/10.1107/s2056989015005071.

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In the title compound, C32H32N2, synthesized by the condensation reaction of 2-ethyl-4-phenylaniline and 2,3-butanedione, the conformation about the C=N bonds isEand the substituted biphenyl units aretransto one another. In the two biphenyl ring systems, the planes of the two rings are inclined to one another by 25.25 (19) and 28.01 (19)°. The planes of the ethyl-substituted benzene rings are inclined to one another by 20.23 (19)° and to the mean plane of the butane-2,3-diimine unit [maximum deviation = 0.014 (4) Å] by 83.19 (19) and 63.38 (19)°. In the crystal, molecules are linked by C—H...π interactions, forming sheets lying parallel to (101).
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18

Zhang, Q. L., Cheng Yong Wang, Ying Ning Hu, and Yue Xian Song. "Experimental Study on the Dynamic Characteristics of High Speed Milling on Inclined Planes." Advanced Materials Research 188 (March 2011): 99–103. http://dx.doi.org/10.4028/www.scientific.net/amr.188.99.

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High speed milling (HSM) on inclined plane is the basic process of die and mould. The dynamic characteristics of the process are experimentally studied by changing the factors as inclined plane, cutting parameter and feeding mode on the high speed milling machine tool. The angles of inclined plane, spindle speed, feed amount and cutting depth are evaluated by the parameters of cutting forces and vibration. The feeding of projection process limits the milling vibrations mainly from horizontal (X) and (Y) directions. The cutting force reaches the peak value when the angle of inclined plane is 45°. The radial cutting depth shows more effects than the axial cutting depth to cutting force and vibration. However, the axial cutting depth should keep a minimum value when using ball mill.
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19

Wittge, J., A. N. Danilewsky, D. Allen, P. McNally, Z. Li, T. Baumbach, E. Gorostegui-Colinas, et al. "Dislocation sources and slip band nucleation from indents on silicon wafers." Journal of Applied Crystallography 43, no. 5 (August 19, 2010): 1036–39. http://dx.doi.org/10.1107/s0021889810029894.

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The nucleation of dislocations at controlled indents in silicon during rapid thermal annealing has been studied byin situX-ray diffraction imaging (topography). Concentric loops extending over pairs of inclined {111} planes were formed, the velocities of the inclined and parallel segments being almost equal. Following loss of the screw segment from the wafer, the velocity of the inclined segments almost doubled, owing to removal of the line tension of the screw segments. The loops acted as obstacles to slip band propagation.
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20

Gao, Bingtuan, Chuande Liu, and Hongtai Cheng. "Virtual Constraints Based Control Design of an Inclined Translational Oscillator with Rotational Actuator System." Shock and Vibration 2015 (2015): 1–9. http://dx.doi.org/10.1155/2015/769151.

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Translational oscillator with rotational actuator (TORA) system, whose translational and rotational movements occur in horizontal planes, is a benchmark of underactuated mechanical systems for studying of control techniques. Currently, the research work of the benchmark mainly focuses on stabilizing control of equilibrium points of the dynamical system. The problem of steering TORA to arbitrary points in its state space is rarely studied. In this paper, the movements of the TORA system are extended to inclined planes and dynamics of the inclined TORA system is presented firstly. Following that, a trajectory tracking control method based on virtual constraints is proposed to steer the oscillations of the inclined TORA system. A virtual constraints based method is presented to generate periodic trajectories which pass through desired point; and a Lyapunov based control design is proposed to track the generated trajectories. Finally, the performance and feasibility of the proposed control design methodology are illustrated and analyzed according to numerical simulations.
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21

Guo, Jia, and Liping Lei. "Flow Characteristics of a Straight-Bladed Vertical Axis Wind Turbine with Inclined Pitch Axes." Energies 13, no. 23 (November 28, 2020): 6281. http://dx.doi.org/10.3390/en13236281.

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Currently, vertical axis wind turbines (VAWT) are considered as an alternative technology to horizontal axis wind turbines in specific wind conditions, such as offshore farms. However, complex unsteady wake structures of VAWTs exert a significant influence on performance of wind turbines and wind farms. In the present study, instantaneous flow fields around and downstream of an innovative VAWT with inclined pitch axes are simulated by an actuator line model. Unsteady flow characteristics around the wind turbine with variations of azimuthal angles are discussed. Several fluid parameters are then evaluated on horizontal and vertical planes under conditions of various fold angles and incline angles. Results show that the total estimated wind energy in the shadow of the wind turbine with an incline angle of 30° and 150° is 4.6% higher than that with an incline angle of 90°. In this way, appropriate arrangements of wind turbines with various incline angles have the potential to obtain more power output in a wind farm.
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22

Brosseau, Quentin, Florencio Balboa Usabiaga, Enkeleida Lushi, Yang Wu, Leif Ristroph, Michael D. Ward, Michael J. Shelley, and Jun Zhang. "Metallic microswimmers driven up the wall by gravity." Soft Matter 17, no. 27 (2021): 6597–602. http://dx.doi.org/10.1039/d1sm00554e.

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23

Ikin, J. B., H. M. Thompson, P. H. Gaskell, and C. J. Noakes. "Practical Limitations to Carrier Layer Formation on Inclined Planes." International Polymer Processing 22, no. 1 (March 2007): 9–15. http://dx.doi.org/10.3139/217.0053.

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24

Pouliquen, O. "Scaling laws in granular flows down rough inclined planes." Physics of Fluids 11, no. 3 (March 1999): 542–48. http://dx.doi.org/10.1063/1.869928.

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25

Flores, Alfinio, and Erin E. Turner. "Inclined Planes and Motion Detectors: A Study of Acceleration." School Science and Mathematics 101, no. 3 (March 2001): 154–62. http://dx.doi.org/10.1111/j.1949-8594.2001.tb18018.x.

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26

Chaney, RC, KR Demars, S. Lalarakotoson, P. Villard, and JP Gourc. "Shear Strength Characterization of Geosynthetic Interfaces on Inclined Planes." Geotechnical Testing Journal 22, no. 4 (1999): 284. http://dx.doi.org/10.1520/gtj11240j.

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27

Robledo, Luis, and Alfonso soler. "Modelling irradiance on inclined planes with an anisotropic model." Energy 23, no. 3 (March 1998): 193–201. http://dx.doi.org/10.1016/s0360-5442(97)00083-2.

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28

Wierschem, A., V. Bontozoglou, C. Heining, H. Uecker, and N. Aksel. "Linear resonance in viscous films on inclined wavy planes." International Journal of Multiphase Flow 34, no. 6 (June 2008): 580–89. http://dx.doi.org/10.1016/j.ijmultiphaseflow.2007.12.001.

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29

Heining, C., V. Bontozoglou, N. Aksel, and A. Wierschem. "Nonlinear resonance in viscous films on inclined wavy planes." International Journal of Multiphase Flow 35, no. 1 (January 2009): 78–90. http://dx.doi.org/10.1016/j.ijmultiphaseflow.2008.07.005.

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30

Feuermann, D., and A. Zemel. "Validation of models for global irradiance on inclined planes." Solar Energy 48, no. 1 (1992): 59–66. http://dx.doi.org/10.1016/0038-092x(92)90177-c.

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31

Mohammadi, Ali, and Seyed Hamid Zahiri. "Inclined planes system optimization algorithm for IIR system identification." International Journal of Machine Learning and Cybernetics 9, no. 3 (September 10, 2016): 541–58. http://dx.doi.org/10.1007/s13042-016-0588-x.

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32

Steurer, Walter, and Antonio Cervellino. "Quasiperiodicity in decagonal phases forced by inclined net planes?" Acta Crystallographica Section A Foundations of Crystallography 57, no. 3 (April 27, 2001): 333–40. http://dx.doi.org/10.1107/s0108767300019917.

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33

Frère, Christian. "Reconstruction in inclined planes of curved computer generated holograms." Applied Optics 29, no. 32 (November 10, 1990): 4761. http://dx.doi.org/10.1364/ao.29.004761.

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34

Marks, Benjy, Pierre Rognon, and Itai Einav. "Grainsize dynamics of polydisperse granular segregation down inclined planes." Journal of Fluid Mechanics 690 (November 14, 2011): 499–511. http://dx.doi.org/10.1017/jfm.2011.454.

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AbstractGranular materials segregate by size when sheared, which increases the destructive power in avalanches and causes demixing in industrial flows. Here we present a concise theory to describe this phenomenon for systems that for the first time include particles of arbitrary size. The evolution of the grainsize distribution during flow is described based on mass and momentum conservation. The theory is derived in a five-dimensional space, which besides position and time, includes a grainsize coordinate. By coupling the theory with a simple constitutive law we predict the kinematics of the flow, which depends on the grainsize dynamics. We show that the underpinning mechanism controlling segregation is a stress variation with grainsize. The theory, solved by a finite difference scheme, is found to predict the dynamics of segregation consistent with results obtained from discrete element simulations of polydisperse granular flow down inclined planes. Moreover, when applied to bimixtures, the general polydisperse theory reveals the role of grainsize contrast.
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35

Zalipaev, V. V. "Short-wave grazing scattering by periodic inclined half-planes." Journal of Soviet Mathematics 57, no. 3 (November 1991): 3101–6. http://dx.doi.org/10.1007/bf01098976.

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36

Alves, Luis M., and Paulo A. F. Martins. "Mechanical Joining of Tubes to Sheets Along Inclined Planes." steel research international 83, no. 12 (August 22, 2012): 1135–40. http://dx.doi.org/10.1002/srin.201200035.

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37

Amirah Saraswati Pronorahardjo, Prawati Nuraini, Putri Qomaria Andarini, Meidy Damayanti, Siti Nurlestari, and Firli Cahaya Khairani. "Inclined bite plane for managing anterior crossbite: A case report." World Journal of Advanced Research and Reviews 22, no. 2 (May 30, 2024): 1655–57. http://dx.doi.org/10.30574/wjarr.2024.22.2.1532.

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Introduction: Anterior crossbite, occurring in approximately 4-5% of the population, poses challenges primarily during mixed dentition. Early correction of anterior crossbite is critical for preventing malocclusion. Case History: A 6-year-old male with complaint of the left upper incisor was behind the lower incisor and affecting the boy’s confidence. The patient was cooperative (Frankl scale number 4). Discussion: Treatment options include various appliances such as tongue blades, Hawley retainers, and inclined bite planes, each with advantages and disadvantages. The inclined bite planes appliance, chosen in this case, aims to achieve a stable relationship between overjet and overbite, promoting proper tooth alignment. Conclusion: Successful treatment prioritizes patient comfort, tissue safety, swift correction, and natural growth support. This emphasizes the importance of selecting the most suitable appliance, such as the Catlan’s, for effective correction.
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38

Zhu, Hai Yan, Qing You Liu, Xiao Hua Xiao, Jia Jia Jing, and Chao He. "A 3D FEM Methodology for Air Hammer Bit Design." Advanced Materials Research 156-157 (October 2010): 1435–39. http://dx.doi.org/10.4028/www.scientific.net/amr.156-157.1435.

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Based on the failure mode of air hammer bit, a mechanical model of the tooth on the inclined plane is established. And then a new air hammer flat bit with double declined planes and a big central plat (the outer inclined plane is 40° and the inner one is 20°) is designed. In order to reduce the design cost and cut down the design cycle, we establish a 3D contact model of 12 1/4″ full-scale flat bit, teeth and rock to choose a better end face structure from single and double declined planes, verify the rationality of bit parameters and tooth arrangement, design reasonable shrink range between tooth and tooth-Hole. This 3D FEM methodology for air hammer bit design is economical and useful, it can be used to optimize bit structure and design a new bit.
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39

Shiller, Zvi, and William Serate. "Trajectory Planning of Tracked Vehicles." Journal of Dynamic Systems, Measurement, and Control 117, no. 4 (December 1, 1995): 619–24. http://dx.doi.org/10.1115/1.2801122.

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This paper presents a method for computing the track forces and track speeds of planar tracked vehicles, required to follow a given path at specified speeds on horizontal and inclined planes. It is shown that the motions of a planar tracked vehicle are constrained by a velocity dependent nonholonomic constraint, derived from the force equation perpendicular to the tracks. This reduces the trajectory planning problem to determining the slip angle between the vehicle and the path tangent that satisfies the nonholonomic constraint along the entire path. Once the slip angle has been determined, the track forces are computed from the remaining equations of motion. Computing the slip angle is shown to be an initial boundary-value problem, formulated as a parameter optimization. This computational scheme is demonstrated numerically for a planar vehicle moving along circular paths on horizontal and inclined planes.
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40

Esmaeili, Mohammad Reza, and Seyed Hamid Zahiri. "Epileptic seizure detection using Inclined Planes system Optimization algorithm(IPO)." Signal and Data Processing 13, no. 4 (March 1, 2017): 29–42. http://dx.doi.org/10.18869/acadpub.jsdp.13.4.29.

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41

Mungan, Carl E., and Trevor C. Lipscombe. "Minimum descent time along a set of connected inclined planes." European Journal of Physics 38, no. 4 (April 28, 2017): 045002. http://dx.doi.org/10.1088/1361-6404/aa6c19.

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42

Pouliquen, O. "On the shape of granular fronts down rough inclined planes." Physics of Fluids 11, no. 7 (July 1999): 1956–58. http://dx.doi.org/10.1063/1.870057.

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43

Goujon, C., N. Thomas, and B. Dalloz-Dubrujeaud. "Monodisperse dry granular flows on inclined planes: Role of roughness." European Physical Journal E 11, no. 2 (June 2003): 147–57. http://dx.doi.org/10.1140/epje/i2003-10012-0.

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44

Tamburrino, Aldo, and Christian F. Ihle. "Roll wave appearance in bentonite suspensions flowing down inclined planes." Journal of Hydraulic Research 51, no. 3 (April 24, 2013): 330–35. http://dx.doi.org/10.1080/00221686.2013.769468.

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45

SABAH, Münire Ece. "CORRECTION OF SINGLE TOOTH ANTERIOR CROSRITES USING FIXED INCLINED PLANES." Turkish Journal of Orthodontics 16, no. 1 (April 2003): 33–36. http://dx.doi.org/10.13076/1300-3550-16-1-33.

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46

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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47

Khamsehpour, B., and ST Davies. "Focused ion beam preparation of inclined planes in semiconductor materials." Vacuum 47, no. 5 (May 1996): 451–54. http://dx.doi.org/10.1016/0042-207x(95)00236-7.

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48

Park, Dong Ho, V. Ramkumar, and P. Parthiban. "Crystal structure of 2,6-bis(2,5-dimethoxyphenyl)-3,5-dimethylpiperidin-4-one." Acta Crystallographica Section E Structure Reports Online 70, no. 11 (October 15, 2014): o1160. http://dx.doi.org/10.1107/s1600536814022041.

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In the title molecule, C23H29NO5, the central piperidine ring has a chair conformation. The planes of the two benzene rings are inclined each to other at 61.7 (1)°. The crystal packing exhibits no directional interactions only van der Waals contacts.
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49

FORTERRE, YOËL, and OLIVIER POULIQUEN. "Stability analysis of rapid granular chute flows: formation of longitudinal vortices." Journal of Fluid Mechanics 467 (September 24, 2002): 361–87. http://dx.doi.org/10.1017/s0022112002001581.

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In a recent article (Forterre & Pouliquen 2001), we have reported a new instability observed in rapid granular flows down inclined planes that leads to the spontaneous formation of longitudinal vortices. From the experimental observations, we have proposed an instability mechanism based on the coupling between the flow and the granular temperature in rapid granular flows. In order to investigate the relevance of the proposed mechanism, we perform in the present paper a three-dimensional linear stability analysis of steady uniform flows down inclined planes using the kinetic theory of granular flows. We show that in a wide range of parameters, steady uniform flows are unstable under transverse perturbations. The structure of the unstable modes is in qualitative agreement with the experimental observations. This theoretical analysis shows that the kinetic theory is able to capture the formation of longitudinal vortices and validates the instability mechanism.
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50

Miller, P. "A study of wall jets resulting from single and multiple inclined jet impingement." Aeronautical Journal 99, no. 986 (July 1995): 201–16. http://dx.doi.org/10.1017/s0001924000049599.

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Abstract:
An experimental investigation into the wall jets created by a single inclined, twin inclined and a four inclined jet impingement arrangement is described. Wall jet velocity profiles were recorded at various azimuthal and radial locations for a range of nozzle heights at jet pressures representative of current V/Stol technology. Use was made of wall jet properties established for a normal jet impingement to provide a means of comparing the attributes of the various configurations. Non-splayed twin inclined impinging jets generate symmetry plane reinforcement and weakening in regions remote from the interaction. Splayed jet geometries show significant height effects on ground plane flow development. The four-jet configuration also demonstrates velocity reinforcement at the lines of wall jet interaction, together with a weakening of the flows remote from the interaction planes. Reinforcement velocities for the four-jet case are significantly lower than those expected from the constituent twin-jet flows.
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