• Title/Summary/Keyword: Series Expansion

Search Result 687, Processing Time 0.028 seconds

An Evaluation of the Second-order Approximation Method for Engineering Optimization (최적설계시 이차근사법의 수치성능 평가에 관한 연구)

  • 박영선;박경진;이완익
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.16 no.2
    • /
    • pp.236-247
    • /
    • 1992
  • Optimization has been developed to minimize the cost function while satisfying constraints. Nonlinear Programming method is used as a tool for the optimization. Usually, cost and constraint function calculations are required in the engineering applications, but those calculations are extremely expensive. Especially, the function and sensitivity analyses cause a bottleneck in structural optimization which utilizes the Finite Element Method. Also, when the functions are quite noisy, the informations do not carry out proper role in the optimization process. An algorithm called "Second-order Approximation Method" has been proposed to overcome the difficulties recently. The cost and constraint functions are approximated by the second-order Taylor series expansion on a nominal points in the algorithm. An optimal design problem is defined with the approximated functions and the approximated problem is solved by a nonlinear programming numerical algorithm. The solution is included in a candidate point set which is evaluated for a new nominal point. Since the functions are approximated only by the function values, sensitivity informations are not needed. One-dimensional line search is unnecessary due to the fact that the nonlinear algorithm handles the approximated functions. In this research, the method is analyzed and the performance is evaluated. Several mathematical problems are created and some standard engineering problems are selected for the evaluation. Through numerical results, applicabilities of the algorithm to large scale and complex problems are presented.presented.

The Impact of Japan's Pursuit of Constitutional Amendment on Marine Security and Countermeasures (일본의 개헌(改憲) 추진이 우리 해양안보에 미치는 영향과 대응방안)

  • Heo, Song
    • Strategy21
    • /
    • s.44
    • /
    • pp.54-78
    • /
    • 2018
  • The core of the current constitutional amendment pursued by the Abe administration depends on the status of the Japanese Self-Defense Forces, which include the right to engage in war, in the legal and regular military positions. This is an important turning point for the Abe administration, which aims to become a normal country for Japan, and it is a series of steps that followed in the revision of the U.S. and Japan guidelines in 2015 and the overhaul of the security law in 2016. In this paper, we propose building "A navy Attractive to Alliances" as a way to secure Korea's maritime security under the current security environment. The term "attraction" refers to the alliance "first priority" especially in the United States. The way to do this is to transform the paradigm of the ROK-U.S. alliance into a naval hub in the vast seas, which will allow us to strengthen our national defense and even deter threats from neighboring countries. To this end, our navy needs to have a more active approach to U.S. East Asian strategy. If we can convince the United States to be a nation that contributes more to its East Asian strategy, it will only lead to a strengthening of the status of its alliance and expansion of its unilateral support and military capability against Japan, thus minimizing Japan's influence.

A Efficient Calculation for log and exponent with A Dual Phase Instruction Architecture (효율적인 로그와 지수 연산을 위한 듀얼 페이즈 명령어 구조)

  • Kim, Jun-Seo;Lee, Kwang-Yeob;Kwak, Jae-Chang
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
    • /
    • 2010.05a
    • /
    • pp.320-323
    • /
    • 2010
  • This paper proposes efficient log and exponent calculation methods using a dual phase instruction set without additional ALU unit for a mobile enviroment. Using the Dual Phase Instruction set, it extracts exponent and mantissa from expression of floating point and calculates 24bit single precision floating point of log approximation using the Taylor series expansion algorithm. And with dual phase instruction set, it reduces instruction excution cycles. The proposed Dual Phase architecture reduces the performance degradation and maintain smaller size.

  • PDF

Regulation Control of Two-Link Robot Arm with the Input Constraint using Sum of Squares Method (SOS 제어기법을 이용한 입력제한이 있는 2관절 로봇팔의 조정제어)

  • Jeong, Jin-Gang;Chwa, Dongkyoung
    • The Transactions of The Korean Institute of Electrical Engineers
    • /
    • v.65 no.7
    • /
    • pp.1270-1276
    • /
    • 2016
  • This paper proposes the controller design for regulation control of two-link robot arm using sum of squares (SOS) control method that takes into account the input constraint. The existing studies of two link robotic arm system used a linear model of all the non-linearity of the system is linearized. For a linear controller, since the model of the system is simplified, it is possible to design a controller in consideration of constraints on the disturbance. However, there is a limit to the performance using a linearized model for a system with a complex nonlinear properties. To compensate for this in the case of using a fuzzy LMI method, it is necessary to have a large number of linear models and thus there is a disadvantage that the system becomes complicated. To solve these problems, we represents a two-link robot arm system with a polynomial model using a Taylor series expansion and design the controller considering the case where the magnitude of the control input is limited using SOS method. We demonstrate by simulations the feasibility of the proposed algorithm.

Synthesis and Characterization of Colorless Polyimide Nanocomposite Films Containing Pendant Trifluoromethyl Groups

  • Jin, Hyo-Seong;Chang, Jin-Hae;Kim, Jeong-Cheol
    • Macromolecular Research
    • /
    • v.16 no.6
    • /
    • pp.503-509
    • /
    • 2008
  • A series of colorless polyimide (PI) nanocomposite films were synthesized from 2,2'-bis(3,4-dicarboxyphenyl)hexafluoropropane dianhydride (6FDA) and 2,2'-bis(trifluoromethyl)-4,4'-diaminobiphenyl (TFDB) with various organoclay contents by solution intercalation polymerization to poly(amic acid)s, followed by thermal imidization. The variation with the organoclay content of the thermomechanical properties, morphology, and optical transparency of the hybrids was examined at organoclay loadings ranging from 0 to 1.0 wt%. The hybrid films showed high optical transparency and almost no color, with cut-off wavelengths ranging from 352 and 356 nm and very low $b^*$ values of 1.19-1.77. The hybrid PI films showed good thermal properties with a glass transition temperature of $280-287^{\circ}C$. Most films did not show any significant thermal decomposition below $490^{\circ}C$. The addition of only a small amount of organoclay was sufficient to improve the tensile properties of the PI films with maximum enhancement being observed at 0.25 wt% organoclay. Moreover, these PI hybrids also had low coefficients of thermal expansion (CTE).

Auxin-responsive SMALL AUXIN UP RNA genes : recent research progress and its application for crop improvement (옥신 반응 SMALL AUXIN UP RNA 유전자의 최근 연구 동향 및 작물 개량을 위한 적용)

  • Lee, Sang Ho
    • Journal of Plant Biotechnology
    • /
    • v.40 no.2
    • /
    • pp.59-64
    • /
    • 2013
  • Auxin is a key plant hormone which regulates overall plant growth development. A number of researches to investigate auxin signaling identified three major classes of early auxin response genes: AUX/IAA, GH3 and SMALL AUXIN UP RNA (SAUR). Among these genes, in planta functions of SAUR gene family are largely ambiguous, while both AUX/IAA and GH3 genes are analyzed to mediate negative feedback on auxin response. SAUR genes encode small plant-specific proteins. SAUR gene products are highly unstable and transiently expressed in the tissue- and developmental-specific manners in response to auxin and various environmental stimuli. In the decades, molecular and genetic approaches to elucidate in planta functions of SAURs have been hampered by several factors such as the unstable molecular features and functional redundancy among them. However, a series of recent studies focusing on several subgroups of SAUR gene family made significant progress in our understanding of its biochemical and physiological functions. These works suggest that many SAUR proteins mainly regulate auxin-related cell expansion and auxin transport. In this review, the recent progress in SAUR research and prospects for crop improvement through its genetic manipulation are discussed.

A Development of Two-Point Reciprocal Quadratic Approximation Mehtod for Configuration Optimization of Discrete Structures (불연속구조물의 배치최적설계를 위한 이점역이차근사법의 개발)

  • Park, Yeong-Seon;Im, Jae-Mun;Yang, Cheol-Ho;Park, Gyeong-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.20 no.12
    • /
    • pp.3804-3821
    • /
    • 1996
  • The configuration optimization is a structural optimization method which includes the coordinates of a structure as well as the sectional properties in the design variable set. Effective reduction of the weight of discrete structures can be obrained by changing the geometry while satisfying stress, Ei;er bickling, displacement, and frequency constraints, etc. However, the nonlinearity due to the configuration variables may cause the difficulties of the convergence and expensive computational cost. An efficient approximation method for the configuration optimization has been developed to overcome the difficulties. The method approximates the constraint functions based onthe second-order Taylor series expansion with reciprocal design variables. The Hessian matrix is approzimated from the information on previous design points. The developed algotithms are coded and the examples are solved.

Acoustic holography for an engine radiation noise using equivalent sources (등가음원을 이용한 엔진 방사 소음의 음향 홀로그래피에 대한 연구)

  • Jeon, In-Youl;Ih, Jeong-Guon
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2004.11a
    • /
    • pp.1101-1106
    • /
    • 2004
  • This study presents the reconstruction of sound field radiated from an automotive engine using equivalent sources. Basic concept of the method presented is to replace the engine noise source with elementary sources of multipoles, e.g., monopoles and dipoles. The so-called Helmholtz equation least-squares (HELS) method can reconstruct the sound radiation fields from spherical geometries in a series expansion of spherical Hankel functions and spherical harmonics. In this paper, multi-Point, multipole equivalent sources are employed to reconstruct the sound field radiated from an automotive engine with a fixed rotation speed. To ensure and improve the accuracy of reconstruction, the spatial filters of multipole coefficients and wave-vectors are adopted for suppressing the adverse effect of high-order multipoles. Optimal filter shapes are designed with regularization parameters minimizing the generalized cross validation (GCV) function between actual and reproduced model. After regeneration of field pressures using the proposed method as many as necessary, the vibro-acoustic field of an engine could be reconstructed by using the BEM-based near-field acoustic holography (NAH) technique in a cost-effective manner.

  • PDF

Free Vibration of a Rectangular Plate Partially in Contact with a Liquid at Both Sides (양면에서 부분적으로 유체와 접하는 사각평판의 고유진동)

  • Jeong, Kyeong-Hoon;Lee, Gyu-Mahn;Kim, Tae-Wan;Park, Keun-Bae
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.18 no.1
    • /
    • pp.123-130
    • /
    • 2008
  • An analytical method for the free vibration of a flexible rectangular plate in contact with water is developed by the Rayleigh-Ritz method. The plate clamped along the edges is partially contacted with water at both sides. It is assumed that the contained water is incompressible and inviscid. The wet mode shape of the plate is assumed as a combination of the dry mode shapes of a clamped beam. The liquid motion is described by using the liquid displacement potential and determined by using the compatibility conditions along the liquid interface with the plate. Minimizing the Rayleigh quotient based on the energy conservation gives an eigenvalue problem. It is found that the theoretical results can predict excellently the fluid-coupled natural frequencies comparing with the finite element analysis result.

A Development Model of Korean Urban Neighborhood: - focusing on the Neighborhood Growth and the Educational Facility - (한국 도시동네의 형태변화 모델 - 동네의 성장과 교육시설과의 관계를 중심으로 -)

  • Han, GwangYa;Kim, Min-ji;Ha, Sung-Hyun
    • Journal of the Korean Institute of Educational Facilities
    • /
    • v.28 no.6
    • /
    • pp.15-28
    • /
    • 2021
  • This study aims to propose a hypothetical urban neighborhood, HanGyo-dong, which is a model for understanding the relationship between the neighborhood change and educational facilities. Three issue layers of the model derived from preceding case studies are: establishment, relocation and redevelopment of educational facilities; formation and redevelopment of adjacent residential areas; and growth of neighborhood commercial cores. The neighborhood changes observed through HanGyo-dong include (1) the formation of educational base and commercial activities along the stream, (2) the growth of student and intellectual community and the installment of public transportation nodes, and (3) the relocation of schools and hospitals followed by a series of redevelopments of single family house into multi-family housing of low-rise residence and high rise apartment complex. The findings call for the collaborative practice of educational administration and neighborhood planning regarding how educational facilities, which were the tool for urban expansion policy, will contribute to the development of the neighborhood's identity as a localized hub.