• 제목/요약/키워드: mathematical structures

검색결과 937건 처리시간 0.023초

가설공사 비계의 정적구조 해석에 관한 연구 (A Methodology of the Static Analysis for Scaffolding Structure)

  • 손기상
    • 한국안전학회지
    • /
    • 제8권2호
    • /
    • pp.16-22
    • /
    • 1993
  • Accidents, especially fatal accidents in construction work are being not reduced, but increased, despite of more concerns of related authority and companies themselves. It is investigated that major reasons of which these accident increase are caused to set up wrong temporary structures : scaffolding with insufficient components or safety guards. Approximately 50% of falling accident, one of three major accidents; falling collapsing of structures or soil, accidents from heavy equipments, are due to defects of temporary structures. Therefore, technical standards for these temporary structures made by the ministry of labour in 1984, should be promptly revised because of its insufficient considerations for structural concepts. A method to effectively ensure the construction safety are shown through an experimental method, mathematical analysis structural planning against overturning and collapsing of scaffold-ing components, consideration of safety factor in loading, formulations of safety structure against falling or dropping from schaffolding.

  • PDF

LQ/LTR 제어기법을 이용한 지진응답의 능동적 진동제어 (Active Control of Earthquake Responses using LQG/LTR Method)

  • 고현무
    • 한국지진공학회:학술대회논문집
    • /
    • 한국지진공학회 1999년도 추계 학술발표회 논문집 Proceedings of EESK Conference-Fall
    • /
    • pp.244-250
    • /
    • 1999
  • Active vibration control method for the reduction of vibration of structures have been developed. For the application of real structures active control system that has robustness must be designed because the mathematical model incompletely described has intrinsically modeling error. In this research we propose LQG/LTR method in designing control system with robustness. A combination of acceleration feedback and model-order reduction technique is used for the application of real structures and the computation efficiency. In case of such structures as the building and the tower the inter-story relative displacements represent an important constraint in seismic design. Therefore selection method of design parameters is also proposed in order to reduce the inter-story relative displacements.

  • PDF

Integrability of the Metallic Structures on the Frame Bundle

  • Islam Khan, Mohammad Nazrul
    • Kyungpook Mathematical Journal
    • /
    • 제61권4호
    • /
    • pp.791-803
    • /
    • 2021
  • Earlier investigators have made detailed studies of geometric properties such as integrability, partial integrability, and invariants, such as the fundamental 2-form, of some canonical f-structures, such as f3 ± f = 0, on the frame bundle FM. Our aim is to study metallic structures on the frame bundle: polynomial structures of degree 2 satisfying F2 = pF +qI where p, q are positive integers. We introduce a tensor field Fα, α = 1, 2…, n on FM show that it is a metallic structure. Theorems on Nijenhuis tensor and integrability of metallic structure Fα on FM are also proved. Furthermore, the diagonal lifts gD and the fundamental 2-form Ωα of a metallic structure Fα on FM are established. Moreover, the integrability condition for horizontal lift FαH of a metallic structure Fα on FM is determined as an application. Finally, the golden structure that is a particular case of a metallic structure on FM is discussed as an example.

수학적 지식의 구성에서 유추적 사고의 역할 (The Role of Analogical Reasoning in Mathematical Knowledge Construction)

  • 이경화
    • 대한수학교육학회지:수학교육학연구
    • /
    • 제19권3호
    • /
    • pp.355-369
    • /
    • 2009
  • 수학자들은 종종 유추적 사고에 의해 수학적 지식을 구성한다. 유추적 사고는 서로 다른 대상 사이의 유사성을 찾아 연결함으로써, 고립된 것처럼 보였던 대상 사이의 관계성을 확보할 수 있게 한다. 수학적 개념, 절차, 원리, 법칙 등은 관계성의 확보에 의해 낱낱의 지식에서 이론으로 발전한다. 이와 같이 유추적 사고는 수학의 주요한 도구로 활용되고 있으므로, 수학교육에서도 유추적 사고를 활용하는 방안에 대한 연구가 필요하다. 이를 위해서는 수학자들의 유추적 사고 활용의 주요 양상이나 세부 과정, 특징에 대한 연구가 필요하다. 이 연구에서는 수학자들이 유추적 사고를 어떤 맥락에서 어떻게 활용했는지 파악함으로써, 유추적 사고 모델을 개발한다. 이를 토대로 교육적 시사점과 후속연구 주제를 도출한다.

  • PDF

Vertical coherence functions of wind forces and influences on wind-induced responses of a high-rise building with section varying along height

  • Huang, D.M.;Zhu, L.D.;Chen, W.;Ding, Q.S.
    • Wind and Structures
    • /
    • 제21권2호
    • /
    • pp.119-158
    • /
    • 2015
  • The characteristics of the coherence functions of X axial, Y axial, and RZ axial (i.e., body axis) wind forces on the Shanghai World Trade Centre - a 492 m super-tall building with section varying along height are studied via a synchronous multi-pressure measurement of the rigid model in wind tunnel simulating of the turbulent, and the corresponding mathematical expressions are proposed there from. The investigations show that the mathematical expressions of coherence functions in across-wind and torsional-wind directions can be constructed by superimposition of a modified exponential decay function and a peak function caused by turbulent flow and vortex shedding respectively, while that in along-wind direction need only be constructed by the former, similar to that of wind speed. Moreover, an inductive analysis method is proposed to summarize the fitted parameters of the wind force coherence functions of every two measurement levels of altitudes. The comparisons of the first three order generalized force spectra show that the proposed mathematical expressions accord with the experimental results well. Later, the influences of coherence functions on wind-induced dynamic responses are analyzed in detail based on the proposed mathematical expressions and the frequency-domain method of random vibration theory.

Assessment of some parameters of corrosion initiation prediction of reinforced concrete in marine environments

  • Moodi, Faramarz;Ramezanianpour, Aliakbar;Jahangiri, Ehsan
    • Computers and Concrete
    • /
    • 제13권1호
    • /
    • pp.71-82
    • /
    • 2014
  • Chloride ion ingress is one of the major problems that affect the durability of concrete structures such as bridge decks, concrete pavements, and other structures exposed to harsh saline environments. Therefore, durability based design of concrete structures in severe condition has gained great significance in recent decades and various mathematical models for estimating the service life of rein-forced concrete have been proposed. In spite of comprehensive researches on the corrosion of rein-forced concrete, there are still various controversial concepts in quantitation of durability parameters such as chloride diffusion coefficient and surface chloride content. Effect of environment conditions on the durability of concrete structures is one of the most important issues. Hence, regional investigations are necessary for durability based design and evaluation of the models. Persian Gulf is one of the most aggressive regions of the world because of elevated temperature and humidity as well as high content of chloride ions in seawater. The aim of this study is evaluation of some parameters of durability of RC structures in marine environment from viewpoint of corrosion initiation. For this purpose, some experiments were carried out on the real RC structures and in laboratory. The result showed that various uncertainties in parameters of durability were existed.

ANALYSIS OF POSSIBLE PRE-COMPUTATION AIDED DLP SOLVING ALGORITHMS

  • HONG, JIN;LEE, HYEONMI
    • 대한수학회지
    • /
    • 제52권4호
    • /
    • pp.797-819
    • /
    • 2015
  • A trapdoor discrete logarithm group is a cryptographic primitive with many applications, and an algorithm that allows discrete logarithm problems to be solved faster using a pre-computed table increases the practicality of using this primitive. Currently, the distinguished point method and one extension to this algorithm are the only pre-computation aided discrete logarithm problem solving algorithms appearing in the related literature. This work investigates the possibility of adopting other pre-computation matrix structures that were originally designed for used with cryptanalytic time memory tradeoff algorithms to work as pre-computation aided discrete logarithm problem solving algorithms. We find that the classical Hellman matrix structure leads to an algorithm that has performance advantages over the two existing algorithms.

Mathematical Model of Shock Absorber for Performance Prediction of Automobile

  • Park, Jae-Woo;Lee, Jong-Heon;Kim, Jin-Wook
    • Journal of Advanced Marine Engineering and Technology
    • /
    • 제27권4호
    • /
    • pp.467-478
    • /
    • 2003
  • Automotive shock absorber may not be regarded as only one(simple) damping machine because it is composed of many components, and shows non-linear damping characteristics. No matter how advanced form of shock absorber is developed, the oil shock absorber can not be neglected. because their structures are based on the oil shock absorber. Therefore it is essential to accurately analyze the dynamic characteristics of oil shock absorber. It stands mainly roi damper valve tuning which nowadays is still exhaustively done by means of ride work. In this study, damping mechanism and dynamic characteristics for oil shock absorber of twin tube type are analyzed, based on the mathematical model considering internal flow and pressure. For the reliability of numerical prediction. the database is constructed within the limit of adequate reliability. Finally, the programmed system that gives out necessary specification by inputting damping specification and tolerance is to be constructed.

2-ENGELIZER SUBGROUP OF A 2-ENGEL TRANSITIVE GROUPS

  • Moghaddam, Mohammad Reza R.;Rostamyari, Mohammad Amin
    • 대한수학회보
    • /
    • 제53권3호
    • /
    • pp.657-665
    • /
    • 2016
  • A general notion of ${\chi}$-transitive groups was introduced by C. Delizia et al. in [6], where ${\chi}$ is a class of groups. In [5], Ciobanu, Fine and Rosenberger studied the relationship among the notions of conjugately separated abelian, commutative transitive and fully residually ${\chi}$-groups. In this article we study the concept of 2-Engel transitive groups and among other results, its relationship with conjugately separated 2-Engel and fully residually ${\chi}$-groups are established. We also introduce the notion of 2-Engelizer of the element x in G and denote the set of all 2-Engelizers in G by $E^2(G)$. Then we construct the possible values of ${\mid}E^2(G){\mid}$.

CONFORMAL CHANGES OF A RIZZA MANIFOLD WITH A GENERALIZED FINSLER STRUCTURE

  • Park, Hong-Suh;Lee, Il-Yong
    • 대한수학회보
    • /
    • 제40권2호
    • /
    • pp.327-340
    • /
    • 2003
  • We are devoted to dealing with the conformal theory of a Rizza manifold with a generalized Finsler metric $G_{ij}$ (x,y) and a new conformal invariant non-linear connection $M^{i}$ $_{j}$ (x,y) constructed from the generalized Cern's non-linear connection $N^{i}$ $_{j}$ (x,y) and almost complex structure $f^{i}$ $_{j}$ (x). First, we find a conformal invariant connection ( $M_{j}$ $^{i}$ $_{k}$ , $M^{i}$ $_{j}$ , $C_{j}$ $^{i}$ $_{k}$ ) and conformal invariant tensors. Next, the nearly Kaehlerian (G, M)-structures under conformal change in a Rizza manifold are investigate.