• Title/Summary/Keyword: geometric law

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Design of Augmented Guidance Law Considering Geometric Pursuit Angle

  • Kim, You-Dan;Kim, Ki-Seok;Moon, Gwan-Young
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.125.5-125
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    • 2001
  • Until now, many guidance laws have been developed. They mainly used the classical tail-pursuit guidance method based on geometric angle information, the proportional navigation method based on the line of sight(LOS) rate, and the optimal guidance law based on optimal control theorem. In the augmented guidance law, target acceleration information and autopilot characteristics are added the guidance command. In this study, new guidance laws considering geometric angle are proposed. Two guidance laws are developed for the midcourse guidance law, and a guidance law is developed for the terminal guidance respectively. The proposed guidance laws utilize the LOS rate and the geometric angle information simultaneously. In the midcourse guidance, the guidance command is ...

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Analytical Study on Performance Evaluation of Large-Sized Silencer using Geometric Similarity Law (기하상사법을 이용한 대형 소음기의 성능평가에 관한 해석적 연구)

  • Yang, Jun-Hyuk;Lee, Boo-Youn;Kim, Won-Jin
    • Journal of Advanced Marine Engineering and Technology
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    • v.34 no.2
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    • pp.275-281
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    • 2010
  • In this paper, a geometric similarity law is introduced to the performance test of a large-sized silencer used in ship engine or plant system. A test of scale-down model enable to yield the cost and time saving in developing large-sized silencer considerably. Two types of silencer, resonator and expansion chamber, were analyzed by a theoretical method and an acoustical FEM(finite element method) in order to obtain geometric similarity variables. A method is proposed to estimate the transmission loss of prototype model using the test results of scale-down model. Two actual large-sized silencer, which consist of resonator and expansion chamber, were analysed by an acoustical FE analysis. Consequently, the proposed method predicts effectively the performance of prototype silencers using those of scale-down models.

Optimization of 3D Triangular Mesh Watermarking Using ACO-Weber's Law

  • Narendra, Modigari;Valarmathi, M.L.;Anbarasi, L.Jani
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.14 no.10
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    • pp.4042-4059
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    • 2020
  • The development of new multimedia techniques such as 3D printing is increasingly attracting the public's attention towards 3D objects. An optimized robust and imperceptible watermarking method based on Ant Colony Optimization (ACO) and Weber Law is proposed for 3D polygonal models. The proposed approach partitions the host model into smaller sub meshes and generates a secret watermark from the sub meshes using Weber Law. ACO based optimized strength factor is identified for embedding the watermark. The secret watermark is embedded and extracted on the wavelet domain. The proposed scheme is robust against geometric and photometric attacks that overcomes the synchronization problem and authenticates the secret watermark from the distorted models. The primary characteristic of the proposed system is the flexibility achieved in data embedding capacity due to the optimized strength factor. Extensive simulation results shows enhanced performance of the recommended framework and robustness towards the most common attacks like geometric transformations, noise, cropping, mesh smoothening, and the combination of such attacks.

In Newton's proof of the inverse square law, geometric limit analysis and Educational discussion (Newton의 역제곱 법칙 증명에서 기하학적 극한 분석 및 교육적 시사점)

  • Kang, Jeong Gi
    • Journal of the Korean School Mathematics Society
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    • v.24 no.2
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    • pp.173-190
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    • 2021
  • This study analyzed the proof of the inverse square law, which is said to be the core of Newton's , in relation to the geometric limit. Newton, conscious of the debate over infinitely small, solved the dynamics problem with the traditional Euclid geometry. Newton reduced mechanics to a problem of geometry by expressing force, time, and the degree of inertia orbital deviation as a geometric line segment. Newton was able to take Euclid's geometry to a new level encompassing dynamics, especially by introducing geometric limits such as parabolic approximation, polygon approximation, and the limit of the ratio of the line segments. Based on this analysis, we proposed to use Newton's geometric limit as a tool to show the usefulness of mathematics, and to use it as a means to break the conventional notion that the area of the curve can only be obtained using the definite integral. In addition, to help the desirable use of geometric limits in school mathematics, we suggested the following efforts are required. It is necessary to emphasize the expansion of equivalence in the micro-world, use some questions that lead to use as heuristics, and help to recognize that the approach of ratio is useful for grasping the equivalence of line segments in the micro-world.

Multiple UAVs Nonlinear Guidance Laws for Stationary Target Observation with Waypoint Incidence Angle Constraint

  • Kim, Mingu;Kim, Youdan
    • International Journal of Aeronautical and Space Sciences
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    • v.14 no.1
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    • pp.67-74
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    • 2013
  • Nonlinear guidance law combined with a pseudo pursuit guidance is proposed, to perform stationary target observation mission. Multiple UAVs are considered, with waypoint constraint. The whole guidance is divided into two steps: firstly, waypoint approach, with specified incidence angle; and secondly, loitering around the stationary target. Geometric approach is used to consider the constraint on the waypoint, and a specified phase angle between the loitering UAV and the approaching UAV. In the waypoint approach step, UAVs fly to the waypoint using the pseudo pursuit guidance law. After passing the waypoint, UAVs turn around the target, using a distance error dynamics-based guidance law. Numerical simulations are performed, to verify the performance of the proposed guidance law.

THE COMPUTATION OF UNSTEADY FLOWS AROUND THREE DIMENSIONAL WINGS ON DYNAMICALLY DEFORMING MESH (변형격자계를 이용한 3차원 날개 주변의 비정상 유동 해석)

  • Yoo, Il-Yong;Lee, Seung-Soo
    • 한국전산유체공학회:학술대회논문집
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    • 2009.11a
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    • pp.34-37
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    • 2009
  • Deforming mesh should be used when bodies are deforming or moving relative to each other due to the presence of aerodynamic forces and moments. Also, the flow solver for such a flow problem should satisfy the geometric conservation law to ensure the accuracy of the solutions. In this paper, a RANS(Reynolds Averaged Navier-Stokes) solver including automatic mesh capability using TFI(Transfinite Interpolation) method and GCL is developed and applied to flows induced by oscillating wings with given frequencies. The computations are performed both on deforming meshes and on rigid meshes. The computational results are compared with experimental data, which shows a good agreement.

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THE COMPUTATION OF UNSTEADY FLOWS AROUND THREE DIMENSIONAL WINGS ON DYNAMICALLY DEFORMING MESH (변형격자계를 이용한 3차원 날개 주변의 비정상 유동 해석)

  • Yoo, Il-Yong;Lee, Byung-Kwon;Lee, Seung-Soo
    • Journal of computational fluids engineering
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    • v.15 no.1
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    • pp.37-45
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    • 2010
  • Deforming mesh should be used when bodies are deforming or moving relative to each other due to the presence of aerodynamic forces and moments. Also, the flow solver for such a flow problem should satisfy the geometric conservation law to ensure the accuracy of the solutions. In this paper, a RANS(Reynolds Averaged Navier-Stokes) solver including automatic mesh capability using TFI(Transfinite Interpolation) method and GCL is developed and applied to flows induced by oscillating wings with given frequencies. The computations are performed both on deforming meshes and on rigid meshes. The computational results are compared with experimental data, which shows a good agreement.

The Study on image correction of geometric distortion in digital radiography image (방사선투과영상의 기하학적 왜곡 보정에 관한 연구)

  • Park, S.K.;Ahn, Y.S.;Gil, D.S.
    • Journal of Power System Engineering
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    • v.15 no.4
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    • pp.25-30
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    • 2011
  • This study is made to provide with a method for correcting the geometric distortion of the digital radiography image by analytical approach based upon the inverse square law and Beer's law. This study is aimed to find out and improve a mathematic model of nonlinear type. Variations in the alignment of the X-ray source, the object, and imaging plate affect digital radiography images. A model which is expressed in parameter values; e.g, angle, position, absorption coefficient, length, width and pixel account of radiography source, is developed so as to match the sample image. For the best correction of the digital image that is the most similar to the model image, a correction technique based upon tangent is developed; then applied to the digital radiography images of steel tubes. As a result, the image correction is confirmed to be made successfully.

Geometric analysis of Missile applied in Frenet-Serret formula & Missile guidance applied in Fuzzy Control (Frenet-Sorret formula를 적용한 미사일의 기하학적 분석과 퍼지제어를 이용한 미사일유도)

  • Park, Sung-Chul;Hwang, Eun-Ju;Park, Mignon
    • Proceedings of the KIEE Conference
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    • 2005.10b
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    • pp.632-634
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    • 2005
  • In this paper, The Frenet-Serret formula of classical geometric curve theory with the concept of a missile pointing velocity vector are used to analyze and design a missile guidance law. The capture capability of this guidance law is qualitatively studied by comparing the rotations of the velocity vectors of missile and target relative to the line of sight vector. when fuzzy Table look-up theory applied in target-missile distance & angle displacement, this research. It's performance is better then classical research.

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A Study of Scaling Law for the Response of V-shape Structure Protecting Landmine (지뢰폭압 방호용 V형 구조물의 거동에 대한 상사법칙 연구)

  • Kim, Dong Kyu
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.25 no.5
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    • pp.337-344
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    • 2015
  • As many of armored vehicles are seriously exposed to threat of IEDs(Improvised Explosive Devices) in the Afghanistan war and the Iraq war. V-shaped military vehicles are deeply studied in order to protect crews and mounted soldiers against land mines. Generally the experiment on full-scaled V-shaped structure needs excessively high cost, which becomes a huge barrier to study. In this paper, we explore the possibility to make a half-scaled model of the V-shaped structure by using the geometric similarity scaling. We demonstrate the geometric similarity scaling between the original model and the half-scaled model is established on the momentum and deflections of structure via computer simulations and experiments. At this stage, we conduct only numerical analysis of predicting vibration of V-shaped structure because measuring vibration of structure is difficult in the mass-explosion experiment, which is remained as future work.