• 제목/요약/키워드: regular forms

검색결과 162건 처리시간 0.025초

On forced and free vibrations of cutout squared beams

  • Almitani, Khalid H.;Abdelrahman, Alaa A.;Eltaher, Mohamed A.
    • Steel and Composite Structures
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    • 제32권5호
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    • pp.643-655
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    • 2019
  • Perforation and cutouts of structures are compulsory in some modern applications such as in heat exchangers, nuclear power plants, filtration and microeletromicanical system (MEMS). This perforation complicates dynamic analyses of these structures. Thus, this work tends to introduce semi-analytical model capable of investigating the dynamic performance of perforated beam structure under free and forced conditions, for the first time. Closed forms for the equivalent geometrical and material characteristics of the regular square perforated beam regular square, are presented. The governing dynamical equation of motion is derived based on Euler-Bernoulli kinematic displacement. Closed forms for resonant frequencies, corresponding Eigen-mode functions and forced vibration time responses are derived. The proposed analytical procedure is proved and compared with both analytical and numerical analyses and good agreement is noticed. Parametric studies are conducted to illustrate effects of filling ratio and the number of holes on the free vibration characteristic, and forced vibration response of perforated beams. The obtained results are supportive in mechanical design of large devices and small systems (MEMS) based on perforated structure.

PROPERTIES OF REGULAR FUNCTIONS WITH VALUES IN BICOMPLEX NUMBERS

  • Kim, Ji Eun;Shon, Kwang Ho
    • Bulletin of the Korean Mathematical Society
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    • 제53권2호
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    • pp.507-518
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    • 2016
  • In this paper, using forms of conjugations, we give some algebraic properties of bicomplex numbers. We research differential operators, elementary functions and the analogous Cauchy-Riemann system in bicomplex number systems. Also, we investigate the definition and properties of regular functions with values in bicomplex settings in Clifford analysis.

SOME STRONG FORMS OF (g,g')-CONTINUITY ON GENERALIZED TOPOLOGICAL SPACES

  • Min, Won-Keun;Kim, Young-Key
    • Honam Mathematical Journal
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    • 제33권1호
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    • pp.85-91
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    • 2011
  • We introduce and investigate the notions of super (g,g')-continuous functions and strongly $\theta$(g,g')-continuous functions on generalized topological spaces, which are strong forms of (g,g')-continuous functions. We also investigate relationships among such the functions, (g,g')-continuity and (${\delta},{\delta}'$)-continuity.

A Study on the Family Finance Management in Jeju Island -with Research on some housholds in Jeju City- (제주도의 가계관리실태에 관한 조사연구 -제주시를 중심으로-)

  • 황덕순
    • Journal of the Korean Home Economics Association
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    • 제19권2호
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    • pp.39-56
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    • 1981
  • This study aims to examine the patterns of family finance management I Jeju island. and then to suggest the desirable directions of family finance management of Jeju households. for the purposes, 157 households were surveyed with questionnaires. This study dealt with the family income forms and family finance management behavior and the relationship between the family income forms and the family finance management behavior. percentage and $X^{2}$were undertaken as statistical methods. the following results were obtained. 1. The family income forms of the households of Jeju Island showed the trend of irregularity and unbalance. And there were 5 types of family income forms. 2. In most of the households, the couple was centered o managing the family finance. 3. In many households, wife holds the responsibility for the cost of family living, and she manages it and the total income. Here we can conclude as follows. For the desirable and balanced household management, they must have some regular and continuous income sources, and try to plan and budget.

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A Study on Bow Motions of High Speed Vessel in Regular Head Waves (고속선형의 선수운동에 관한 연구)

  • 김순갑
    • Journal of the Korean Institute of Navigation
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    • 제1권1호
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    • pp.45-62
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    • 1977
  • The advanced researches of the ship's motion in the seaway can predict the heaving, pitching and slamming of ship's motion. The researches as of today are that of displacement type such as a small typical fishing boat and U, UV and V bow ship forms under low speed. In recent day, the study of behaviours of high speed planning boat in the regular waves has been carried out by Bessho [5]. The calculation about behaviours of a high speed vessel in the longitudinal regular waves is calculated by Ordinary Strip Method in this paper. The data of the results were discussed and compared with Bessho's results. The conclusions deduced from this study are as follow, (1) The acceleration of motion calculated by the O.S.M. is similar with Bessho's data for the Fn 0.5 (2) The amplitudes of the behaviours of motions take peak at 1.0<λ/L<1.4.

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A Study on Bow Motions of High Speed Vessel in Regular Head Waves (고속선형의 선수운동에 관한 연구)

  • 김순갑
    • Journal of the Korean Institute of Navigation
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    • 제3권2호
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    • pp.1-19
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    • 1979
  • The advanced researches of the ship's motion in the seaway can predict the heaving, pitching and slamming of ship's motion. The researches as of today are that of displacement type such as a small typical fishing boat and U, UV and V bow ship forms under low speed. In recent day, the study of behaviours of high speed planning boat in the regular waves has been carried out by Bessho [5]. The calculation about behaviours of a high speed vessel in the longitudinal regular waves is calculated by Ordinary Strip Method in this paper. The data of the results were discussed and compared with Bessho's results. The conclusions deduced from this study are as follow, (1) The acceleration of motion calculated by the O.S.M. is similar with Bessho's data for the Fn 0.5 (2) The amplitudes of the behaviours of motions take peak at 1.0<λ/L<1.4.

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All Regular Elements in HypG(2)

  • Puninagool, Wattapong;Leeratanavalee, Sorasak
    • Kyungpook Mathematical Journal
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    • 제51권2호
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    • pp.139-143
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    • 2011
  • In this paper we consider mappings ${\sigma}$ which map the binary operation symbol f to the term ${\sigma}$(f) which do not necessarily preserve the arities. We call these mappings generalized hypersubstitutions. Any generalized hypersubstitution ${\sigma}$ can be extended to a mapping $\hat{\sigma}$ on the set of all terms of type ${\tau}$ = (2). We de ne a binary operation on the set $Hyp_G$(2) of all generalized hypersubstitutions of type ${\tau}$ = (2) by using this extension The set $Hyp_G$(2) together with the identity generalized hypersubstitution ${\sigma}_{id}$ which maps f to the term f($x_1,x_2$) forms a monoid. We determine all regular elements of this monoid.

Study on Extraction of the Center Point of Steam Generator Tubes (증기발생기 세관의 중심좌표추출에 대한 연구)

  • 조재완;김창회;서용칠;최영수;김승호
    • Proceedings of the IEEK Conference
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    • 대한전자공학회 2002년도 하계종합학술대회 논문집(4)
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    • pp.263-266
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    • 2002
  • This paper describes extraction procedure for the center coordinates of steam generator tubes of Youngkwang NPP #6, which are arrayed in triangular patterns. Steam generator tube images taken with wide field-of-view lens and low-light lamp mounted on a ccd camera tend to have low contrast, because steam generator is sealed and poorly illuminated. The extraction procedures consists of two steps. The first step is to process the region with superior contrast in entire image of steam generator tubes and to extract the center points. Using the extracted coordinates in the first step and the geometrical array characteristics of tubes lined up in regular triangle forms, the central points of the rest region with low contrast are estimated. The straight lines from center point of a tube to neighbour points in horizontal and 60, 120$^{\circ}$ degree directions are derived. The intersections of straight line In horizontal direction and slant line in regular triangle direction are selected as the center coordinates of steam generator tubes. The Chi-square interpolation method is used to determine the line's coefficients in horizontal and regular triangle direction.

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The Effect of Forebody Forms on the Ship Motion in Water of Finite Depth (유한(有限)깊이의 물에서의 선체운동(船體運動) -선수선형(船首船型)의 영향(影響)-)

  • J.H.,Hwang;K.P.,Rhee
    • Bulletin of the Society of Naval Architects of Korea
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    • 제13권1호
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    • pp.11-16
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    • 1976
  • The effect of the bow shape on the ship motion response in longitudinal regular waves of water of finite depth is investigated by employing the strip theory. The two-dimensional hydrodynamic forces(added mass and damping) were calculated by close-fit method for water of finite depth. The models for investigation are U and V bow ship forms of block coefficient 0.8 with constant after body which were used by Yourkov [2] and recently by Kim [3] for their deep water investigations. The following results are obtained by the present numerical experiments. (1) It is confirmed that the damping coefficient of the V-bow ship is greater than that of U-bow ship and in consquence the amplitude of heave and pitch of V-bow ship is smaller than that of U-bow ship among longitudinal regular head waves in water of finite depth (2) The merit of the V-bow ship on the motion damping is more significant in heave than in pitch, and is decreasing with the shallowness of water depth. (3) The change of bow form gives little effect on the wave exciting force and moment compared with the motion responce.

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The Effect of Forebody Forms on the Ship Motion in Regular Head Waves (선형(船型)이 선체운동(船體運動)에 미치는 영향(影響)에 관(關)한 연구(硏究))

  • Jin-Ahn,Kim
    • Bulletin of the Society of Naval Architects of Korea
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    • 제12권1호
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    • pp.47-58
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    • 1975
  • The effect of the bow shape on the ship motion response among longitudinal regular waves, is investigated employing the strip theory. The two dimensional hydrodynamic forces such as added mass and damping are calculated by the integral equation method for arbitrary sections. Nine ship models are selected for investigation. They are U, UV and V bow ship forms of different block coefficient of 0.6, 0.7 and 0.8 with constant after body. The heave amplitude of the V bow ship is smaller than that of the U bow ship in the whole range of wave length except extremely short wave as were stated by the earlier investigators. This results holds also in the case of bow vertical motions such as vertical relative displacement, velocity and acceralation. As to the pitch amplitudes, the V bow ship gives smaller value in long waves but larger value in short waves. However, heave and pitch phase angles are practically not influenced by the form of the fore body sections. In the bow motions, a little difference in phase angle is appeared in the vicinity of the wave which has same ship length. With respect to the wave exiting force and moment unfovourable effects could be expected in V bow ships. And these tendency hold also in the wave bending moment.

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