• 제목/요약/키워드: transcendental functions

검색결과 55건 처리시간 0.03초

Geometrically nonlinear analysis of plane frames with semi-rigid connections accounting for shear deformations

  • Gorgun, H.;Yilmaz, S.
    • Structural Engineering and Mechanics
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    • 제44권4호
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    • pp.539-569
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    • 2012
  • The behaviour of beam-to-column connections plays an important role in the analysis and design of steel structures. A computer-based method is presented for nonlinear steel frames with semi-rigid connections accounting for shear deformations. The analytical procedure employs transcendental stability functions to model the effect of axial force on the stiffness of members. The member stiffness matrix, and the fixed end forces for various loads were found. The nonlinear analysis method is applied for three planar steel structures. The method is readily implemented on a computer using matrix structural analysis techniques and is applicable for the efficient nonlinear analysis of frameworks.

Critical buckling load optimization of the axially graded layered uniform columns

  • Alkan, Veysel
    • Structural Engineering and Mechanics
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    • 제54권4호
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    • pp.725-740
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    • 2015
  • This study presents critical buckling load optimization of the axially graded layered uniform columns. In the first place, characteristic equations for the critical buckling loads for all boundary conditions are obtained using the transfer matrix method. Then, for each case, square of this equation is taken as a fitness function together with constraints. Due to explicitly unavailable objective function for the critical buckling loads as a function of segment length and volume fraction of the materials, especially for the column structures with higher segment numbers, initially, prescribed value is assumed for it and then the design variables satisfying constraints are searched using Differential Evolution (DE) optimization method coupled with eigen-value routine. For constraint handling, Exterior Penalty Function formulation is adapted to the optimization cycle. Different boundary conditions are considered. The results reveal that maximum increments in the critical buckling loads are attained about 20% for cantilevered and pinned-pinned end conditions and 18% for clamped-clamped case. Finally, the strongest column structure configurations will be determined. The scientific and statistical results confirmed efficiency, reliability and robustness of the Differential Evolution optimization method and it can be used in the similar problems which especially include transcendental functions.

지역사회 노인주거시설에 관한 연구 - 미국을 중심으로 - (The research regarding the community residential welfare facilities for the Aged - Focused on instance of the United States -)

  • 조철호
    • 한국실내디자인학회논문집
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    • 제19권2호
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    • pp.225-233
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    • 2010
  • At this point in time South Korea is rapidly metastasizing to a aging society. A major cause of aging can be summarized as increased life expectancy, decrease of nuclear family and birthrate, and South Korea's progress is faster than any other country. From the 1970s, western society has changed social welfare to deinstitutionalization and community care because of problems about economic reason and facilities protection, so the type of elderly social service has also changed from the facility welfare service which is accommodated old people in certain facility to community welfare service which provides various welfare services with living together. Public facilities for low income group which are supported by government are lower, 6.6%, than the United States or Japan, 50%. They are divided into private manage facilities and subscription elderly facilities. These subscription elderly residential facilities show poor administration because of focusing on development and market analysis for investment returns. Therefore, in order to vitalize the elderly welfare residential facilities in Korea, we need plans about systematic services facilities for welfare and phased medical treatments. Therefore, the purpose of this study is that (1) the types and functions of residents for community elderly residential facilities in elderly welfare policies of U.S., and supported policies are researched as a transcendental model, (2) data about operating system with the principles of the market is analyzed, and (3) basic data about welfare facility plan for community residential elderly people is provided.

The stability of semi-rigid skeletal structures accounting for shear deformations

  • Gorgun, Halil
    • Structural Engineering and Mechanics
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    • 제57권6호
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    • pp.1065-1084
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    • 2016
  • The analysis and design of skeletal structures is greatly influenced by the behaviour of beam-to-column connections, where patented designs have led to a wide range of types with differing structural quantities. The behaviour of beam-to-column connections plays an important role in the analysis and design of framed structures. This paper presents an overview of the influence of connection behaviour on structural stability, in the in-plane (bending) mode of sway. A computer-based method is presented for geometrically nonlinear plane frames with semi-rigid connections accounting for shear deformations. The analytical procedure employs transcendental modified stability functions to model the effect of axial force on the stiffness of members. The member stiffness matrix were found. The critical load has been searched as a suitable load parameter for the loss of stability of the system. Several examples are presented to demonstrate the validity of the analysis procedure. The method is readily implemented on a computer using matrix structural analysis techniques and is applicable for the efficient nonlinear analysis of frameworks. Combined with a parametric column effective length study, connection and frame stiffness are used to propose a method for the analysis of semi-rigid frames where column effective lengths are greatly reduced and second order (deflection induced) bending moments in the column may be distributed via the connectors to the beams, leading to significant economies.

호텔 객실 디자인에 내재된 상징적 표현에 관한 연구 - C.G. Jung의 상징이론을 중심으로 - (A Study on the Symbolic Expressions Immanent in Designs of Hotel Guest Rooms - Based on the Symbolic Theory of C.G. Jung -)

  • 김정아
    • 한국실내디자인학회논문집
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    • 제18권4호
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    • pp.88-96
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    • 2009
  • Contemporary hotels adopt distinctive designs in order to symbolize themes of various spaces they consist of. This phenomenon shows that the importance of spiritual values reflected through themes of spaces is emphasized as much as those of basic functions and structures of hotels. Above all, a variety of expression methods pervading throughout spaces of guest rooms consist of thematic spaces, visualization of emotions, as well as mixture of artistic genres, ones that are originated from unconsciousness of symbolic theory of C.G. Jung and widely perceived as variations of archetype. Meanings of symbolic expressions derived from the analysis of various hotels can be defined by attributes of local cultures as well as propensities of mythicism, which feature local pride enlightened by natural environments, the spirit of the times, historical events and other transcendental and fantastic topics. These symbolic expressions are metaphysical forms that are made unconsciously and such symbols are far beyond mere historical and cultural signs which require us profound and mature methods to approach. It is pleasing to know that we are living in the modern society in which progresses are being made to better understand minds and metal states of human beings. Given such a circumstantial advantage, researches on meanings of symbolic expressions should not be limited to only those of hotel designs, but also those of religious architectures and museums in which spiritual values are emphasized throughout designs of the spaces they consist of.

모바일 벡터 그래픽 프로세서용 역코사인 함수의 하드웨어 설계 (Hardware Design of Arccosine Function for Mobile Vector Graphics Processor)

  • 최병윤;이종형
    • 한국정보통신학회논문지
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    • 제13권4호
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    • pp.727-736
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    • 2009
  • 본 논문에서는 모바일 벡터 그래픽 가속기용 역코사인 연산 회로를 설계하였다. 모바일 그래픽스 응용은 기존 데스크 톱 컴퓨터에 비해 면적, 연산 시간, 전력 소모와 정밀도 측면에서 제약이 크다. 설계한 역코사인 함수 회로는 연산시간과 정밀도 조건을 만족하기 위해 IEEE 표준 부동 소수점 데이터 형식을 사용하며, 계수 테이블을 사용하는 2차 다항식 근사 기법을 채택하였으며, 하드웨어 공유 기법을 통해 면적을 감소시켰다. 역코사인 회로는 약 15,280개의 게이트로 구성되며, $0.35{\mu}m$ CMOS 공정 조건에서 약 125 Mhz의 동작 주파수를 가진다. 7개의 클록 사이클에 역코사인 함수를 구현하므로, 설계된 회로는 약 17.85 MOPS의 연산 성능을 갖고 있어서 OpenVG 프로세서에 적용이 가능하다. 또한 융통성 있는 구조 특성으로 설계된 회로는 ROM 내용의 교체와 속규모의 하드웨어 변경을 통해 지수함수, 삼각함수, 로그 함수와 같은 다른 초월함수에 적용이 가능하다.

지각 오디오 부호화기에서의 스펙트럼 에너지 기반 톤 성분 검출 알고리듬 (Tonality Detection based on Spectrum Energy in Perceptual Audio Coder)

  • 이근섭;연규철;박영철;윤대희
    • 한국통신학회논문지
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    • 제29권6C호
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    • pp.770-776
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    • 2004
  • 지각 오디오 부호화기는 신호의 지각적 중복성과 함께 지각에 무관한 성분들을 줄이기 위해 인간의 청각 특성인 마스킹 효과를 이용하여 부호화 과정에서 발생하는 양자화 잡음을 귀에 들리지 않는 수준 이하로 낮춘다. 이때 마스킹 하는 주체인 입력 신호의 특성이 들, 잡음 중 어떤 성분에 가까운지에 따라 주위의 작은 신호들을 마스킹하는 양이 달라지기 때문에 입력 신호의 특성을 알아내는 것은 지각 부호화기의 성능을 좌우하는 중요한 요소이다. 본 논문에서는 낮은 복잡도로 구현 가능한 새로운 톤 성분 검출 알고리듬을 제안하였다. 제안한 알고리듬은 MPEG 심리음향 모델-II 비해 초월함수가 적게 사용되며 사용되는 연산도 단순하기 때문에 낮은 복잡도의 부호화기 구현에 적합하다. 제안한 알고리듬은 다양한 신호들에 대해 성능평가가 수행되었으며, DSP를 사용한 구현 결과 약 3 MIPS 정도로 구현 가능하였다.

Effects of deformation of elastic constraints on free vibration characteristics of cantilever Bernoulli-Euler beams

  • Wang, Tong;He, Tao;Li, Hongjing
    • Structural Engineering and Mechanics
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    • 제59권6호
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    • pp.1139-1153
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    • 2016
  • Elastic constraints are usually simplified as "spring forces" exerted on beam ends without considering the "spring deformation". The partial differential equation governing the free vibrations of a cantilever Bernoulli-Euler beam considering the deformation of elastic constraints is firstly established, and is nondimensionalized to obtain two dimensionless factors, $k_v$ and $k_r$, describing the effects of elastically vertical and rotational end constraints, respectively. Then the frequency equation for the above Bernoulli-Euler beam model is derived using the method of separation of variables. A numerical analysis method is proposed to solve the transcendental frequency equation for the continuous change of the frequency with $k_v$ and $k_r$. Then the mode shape functions are given. Finally, effects of $k_v$ and $k_r$ on free vibration characteristics of the beam with different slenderness ratios are calculated and analyzed. The results indicate that the effects of $k_v$ are larger on higher-order free vibration characteristics than on lower-order ones, and the impact strength decreases with slenderness ratio. Under a relatively larger slenderness ratio, the effects of $k_v$ can be neglected for the fundamental frequency characteristics, while cannot for higher-order ones. However, the effects of $k_r$ are large on both higher- and lower-order free vibration characteristics, and cannot be neglected no matter the slenderness ratio is large or small.

향상된 연산시간, 회로면적, 소비전력의 절충관계를 위한 혼합가산기 기반 CORDIC (CORDIC using Heterogeneous Adders for Better Delay, Area and Power Trade-offs)

  • 이병석;이정근;이정아
    • 한국컴퓨터정보학회논문지
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    • 제15권2호
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    • pp.9-18
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    • 2010
  • 모바일 임베디드 시스템에서는 성능이 우수하면서도 작은 칩 크기와 저 전력의 동작 조건이 요구된다. CORDIC 연산기는 초월 함수들을 효율적으로 계산하는 알고리즘으로, 특유의 하드웨어 간결성으로 인하여 모바일 임베디드 시스템에 매우 적합한 연산기이다. 하지만 CORDIC 알고리즘은 내부 연산의 반복 횟수에 따라 성능이 저하되는 문제점이 있다. CORDIC 연산기를 분석하면 가산기의 영향이 매우 크다는 것을 알 수 있다. 가산기의 알고리즘 종류에 따라 필요 이상의 성능 증가로 인하여 회로 면적과 소비 전력이 증가하면서 성능이 낭비되는 문제점을 해결하기 위하여 연산 시간, 회로 면적, 소비 전력에 대한 보다 심층적인 절충 관계 분석이 필요하다. 본 논문에서는 가산기에 따른 자원 낭비를 최소화하는 방법으로 혼합 가산기를 이용한 CORDIC 연산기를 제안하고, 혼합 가산기를 사용하면 요구 조건에 보다 최적화된 CORDIC 연산기를 설계할 수 있음을 실험 결과를 이용하여 보였다.

MPEG 심리음향 모델-ll 알고리듬의 ASIC 구현을 위한 고정 소수점 연산 최적화 (Fixed-point Processing Optimization of MPEG Psychoacoustic Model-II Algorithm for ASIC Implementation)

  • 이근섭;박영철;윤대희
    • 한국통신학회논문지
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    • 제29권11C호
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    • pp.1491-1497
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    • 2004
  • 구현하기 위하여 고정 소수점 연산기에 적합하도록 최적화를 수행하였다. 최적화 과정은 크게 부호화기의 음질을 고려하여 프로세서의 데이터 워드 길이를 결정하는 과정과 자주 사용되는 초월 함수를 고정 소수점 연산을 통해 구현하는 것으로 구성된다. 데이터 워드 길이를 결정하기 위하여 심리음향 모델 과정의 고정 소수점 연산 오차와 이 오차가 비트 할당 과정에 영향을 미칠 확률 사이의 관계를 통계적 모델로 정의하였다. 여기서 정의된 모델을 사용하여 고정 소수점 연산 오차에 의한 영향이 1% 이내가 되도록 24비트의 데이터 워드를 선택하였다. 최적화된 고정 소수점 심리음향 모델을 사용한 MP3 부호화기의 음질은 부동 소수점 부호화기에 비해 W-R의 음질평가 점수를 기준으로 평균 -0.2 이내의 구분하기 힘든 수준의 음질 저하를 보였다