• Title/Summary/Keyword: Upper Bound Method

Search Result 341, Processing Time 0.026 seconds

A Study on Determination of Bearing Capacity of Eccentrically Loaded Strip Footing (편심하중을 받는 줄기초의 지지력 산정에 관한 연구)

  • Kwon, Oh Kyun;Chung, Choong-Ki;Kim, Tae Soo;Kim, Myoung Mo
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.13 no.5
    • /
    • pp.245-254
    • /
    • 1993
  • In this study, the influence of eccentricity on bearing capacity of strip footing has been investigated by the model tests using the carbon rods, the upper bound method of limit analysis, and Meyerhof method of the limit equilibrium method. In applying the upper bound, the failure mechanism based on model tests was used. There was good agreement between the result of model tests and the upper bound method of limit analysis, but Meyerhof method yielded low bearing capacity and underestimated the effect of eccentricity on bearing capacity. Besides, the influences of footing width, embedment depth and base friction on the bearing capacity have been examined.

  • PDF

Security Analysis of Block Ciphers Designed with BOGI Strategy against Differential Attacks (BOGI 전략으로 설계된 블록 암호의 차분 공격에 대한 안전성 분석)

  • Lee, Sanghyeop;Kim, Seonggyeom;Hong, Deukjo;Sung, Jaechul;Hong, Seokhie
    • Journal of the Korea Institute of Information Security & Cryptology
    • /
    • v.29 no.6
    • /
    • pp.1259-1270
    • /
    • 2019
  • The upper bound of differential characteristic probability is mainly used to determine the number of rounds when constructing a block cipher. As the number of rounds affects the performance of block cipher, it is critical to evaluate the tight upper bound in the constructing process. In order to calculate the upper bound of differential characteristic probability, the previous searching methods for minimum number of active S-boxes constructed constraint equations for non-linear operations and linear operations, independently. However, in the case of BOGI design strategy, where linear operation is dependent on non-linear operation, the previous methods may present the less tight upper bound. In this paper, we exploit the properties of BOGI strategy to propose a new method to evaluate a tighter upper bound of differential characteristic probability than previous ones. Additionally, we mathematically proved the validity of our method. Our proposed method was applied to GIFT-64 and GIFT-128, which are based on BOGI strategy, and the upper bounds of differential characteristic probability were derived until 9 round. Previously, the upper bounds of differential characteristic probability for 7-round GIFT-64 and 9-round GIFT-128 were 2-18.395 and 2-26.885, respectively, while we show that the upper bounds of differential characteristic probability are more tight as 2-19.81 and 2-28.3, respectively.

A Study of the Twisting and Extrusion Process of the Product with Involute Helical Fin from the Round Billet by the Upper Bound Analysis (상계해법에 의한 원형빌렛으로부터 인볼루트 헬리컬핀을 가진 제품의 비틀림 압출가공법에 관한 연구)

  • 박대윤;진인태
    • Transactions of Materials Processing
    • /
    • v.10 no.4
    • /
    • pp.302-310
    • /
    • 2001
  • The twisting and extrusion process of the product with involute helical fin from the round billet is developed by the upper bound analysis. The twisting of extruded product is caused by the twisted inclined die surface connecting the die enterance section and the die exit section linearly. In the analysis, the internal shear surface is defined as the curved twisted plane from the twisting of die surface and the shear work is calculated by the consumption of shear energy. The increase rate of angular velocity is determined by the minimization of plastic work. The angular velocity of die exit can be controlled by the land length and the length of inclined die. The alular velocity assums to be increased linearly by the axial distance from the die enterance to the die exit. The results of the analysis show that the angular velocity of the extruded product increases with the die twisting angle, the reduction of area, and decreases with the die length, the friction constant.

  • PDF

A Study on Material Characterization of Semi-Solid Materials (I) -Proposal of New Velocity Field for Upper Bound Analysis of Backward Extrusion- (반용융 재료의 물성치 평가에 관한 연구(I) -후방압출의 상계해석을 위한 동적 가용 속도장의 제안-)

  • 이주영;김낙수
    • Transactions of Materials Processing
    • /
    • v.8 no.4
    • /
    • pp.364-373
    • /
    • 1999
  • For material characterization of semi-solid materials, backward extrusion process, which has been used in forming of hollow-sectioned products, was analyzed by the upper bound analysis in the current study. The existing kinematically admissible velocity field was applied to steady state at which there was no change in the assumed regions of velocity field. For unsteady state, new velocity field, as a function of dead zone angle, was proposed. Through the whole analysis, fiction between die and workpiece was also considered. It has been studied how the process variables, such as friction factor and punch velocity, and material parameters, such as strength coefficient, strain rate sensitivity could affect on analysis results. Finally, by the comparison with the finite element analysis, the reliability and efficiency of the proposed velocity field were discussed.

  • PDF

Upper Bound Analysis for Forging of Circular Gears (원호 기어의 단조 상계해석)

  • 조해용;최재찬;최종웅;민규식;박형진
    • Proceedings of the Korean Society of Precision Engineering Conference
    • /
    • 1996.04a
    • /
    • pp.761-765
    • /
    • 1996
  • This paper describes the forging of circular tooth profiled gears as a series of development of simulator for non-axisymmetric parts that being used at the pump pulley, timing belt pulley etc. in automobiles. The half pitch of gear is divided into 6 deformation regious and kinematically admissible velocity fields for those regions are proposed. The neutral surface is introduced torepresent inner flow of material during forging operation with flat punch and, for each step, it is assumed as a circle. The upper bound solutions obtained from the suggested kinematically admissible velocity fields are in good agreement with experimental results and they are useful to predict the capacity of forging press for forging of circular gears.

  • PDF

Upper-bound Analysis for Cold Forging of Helical Gear ( II ) (헬리컬 기어의 냉간단조에 관한 상계해석 (II))

  • Choi, Jae-Chan;Tak, Sung-Jun;Choi, Young
    • Proceedings of the Korean Society of Precision Engineering Conference
    • /
    • 1996.11a
    • /
    • pp.144-149
    • /
    • 1996
  • In this paper, the clamping type forging of helical gears has been investigated. Clamping type forging is an operation in which the product is constrained to extrude sideways through an orifice in the container wall. Punch is cylindrical shaped. The punch compresses a cylindrical billet placed in a die insert. As a consequence the material flows in a direction perpendicular to that of punch movement. The forging has been analysed by using the upper-bound method. A kinematically admissible velocity field has been developed, wherein, an involute curve has been introduced to represent tooth profile of the gear. Numerical calculations have been carried out to investigate the effects of various parameters, such as module, number of teeth, helix angle, friction factor and initial height of billet on the forging of helical gears.

  • PDF

A Study on Material Characterization of Semi-Solid Materials(II) -Determination of Flow Stress For Semi-Solid Materials Using Backward Extrusion Experiment with Model Material and Upper Bound Analysis- (반용융 재료의 물성치 평가에 관한 연구(II) -모델재료의 후방압출 실험과 상계해석을 통한 반용융 재료의 유동응력식 결정-)

  • 이주영;김낙수
    • Transactions of Materials Processing
    • /
    • v.8 no.4
    • /
    • pp.374-383
    • /
    • 1999
  • To determine the flow stress of semi-solid materials, a new combined method has been studied by experimental and analytic technique in the current approach. Using backward extrusion experiment and its numerical analysis, the characterization scheme of semi-solid materials according to the change of initial solid volume fraction has been proposed. Because that solid volume fraction is sensitive to temperature change, it is required to precisely control the temperature setting. Model materials can guarantee the establishment of material characterization technique from the noise due to temperature change. Thus, clay mixed with bonded abrasives was used for experiment and the change of initial solid fraction was copied out through the variation of mixing ratio. Upper bound method was adapted to increase in efficiency of the calculation in numerical analysis and new kinematically admissible velocity field was employed to improve the accuracy of numerical solution. It is thought that the material characterization scheme proposed in this study can be applied to not only semi-solid materials, but also other materials that is difficult to obtain the simple stress state.

  • PDF

The Improved Estimation of the Least Upper Bound to Search for RSA's Private key

  • Somsuk, Kritsanapong
    • KSII Transactions on Internet and Information Systems (TIIS)
    • /
    • v.16 no.6
    • /
    • pp.2074-2093
    • /
    • 2022
  • RSA is known as one of the best techniques for securing secret information across an unsecured network. The private key which is one of private parameters is the aim for attackers. However, it is exceedingly impossible to derive this value without disclosing all unknown parameters. In fact, many methods to recover the private key were proposed, the performance of each algorithm is acceptable for the different cases. For example, Wiener's attack is extremely efficient when the private key is very small. On the other hand, Fermat's factoring can quickly break RSA when the difference between two large prime factors of the modulus is relatively small. In general, if all private parameters are not disclosed, attackers will be able to confirm that the private key is unquestionably inside the scope [3, n - 2], where n is the modulus. However, this scope has already been reduced by increasing the greatest lower bound to [dil, n - 2], where dil ≥ 3. The aim of this paper is to decrease the least upper bound to narrow the scope that the private key will remain within this boundary. After finishing the proposed method, the new scope of the private key can be allocated as [dil, dir], where dir ≤ n - 2. In fact, if the private key is extremely close to the new greatest lower bound, it can be retrieved quickly by performing a brute force attack, in which dir is decreased until it is equal to the private key. The experimental results indicate that the proposed method is extremely effective when the difference between prime factors is close to each other and one of two following requirement holds: the first condition is that the multiplier of Euler totient function is very close to the public key's small value whereas the second condition is that the public key should be large whenever the multiplier is far enough.

An Upper Bound Analysis of the Three-Dimensional extrusion of Shapes with the Use of Dual Stream Functions( I ) (유선함수를 이용한 3 차원압출의 상계해석)

  • 김희송;조용이
    • Journal of the Korean Society of Safety
    • /
    • v.7 no.4
    • /
    • pp.85-94
    • /
    • 1992
  • This paper, discribes analysis of theree - dimensional extrusion with the use of dual stream functions, By this method admissible velocity fields for the extrusion of three- dimensional flow was newly derived kinematically. For square section the extrusion pressure was calculated by numerical solution program which was based on the upper bound analysis. The relationship between relative extrusion pressure and reduction of area, relative die length and constant friction factors were successfully calculated which was newly developed in this study. The results could be applied to design extrusion die.

  • PDF

Guaranteed cost control for singular systems with time delays using LMI

  • Kim, Jong-Hae
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 2002.10a
    • /
    • pp.44.1-44
    • /
    • 2002
  • This paper is concerned with the problem of designing a guaranteed cost state feedback controller for singular systems with time-varying delays. The sufficient condition for the existence of a guaranteed cost controller, the controller design method, and the optimization problem to get the upper bound of guaranteed cost function are proposed by LMI(linear matrix inequality), singular value decomposition, Schur complements, and change of variables. Since the obtained sufficient conditions can be changed to LMI form, all solutions including controller gain and upper bound of guaranteed cost function can be obtained simultaneously.

  • PDF