• Title/Summary/Keyword: Formulae

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Local buckling behaviour of steel plate elements supported by a plastic foam material

  • Mahendran, M.;Jeevaharan, M.
    • Structural Engineering and Mechanics
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    • v.7 no.5
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    • pp.433-445
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    • 1999
  • Sandwich panels comprising steel facings and a polystyrene foam core are increasingly used as roof and wall claddings in buildings in Australia. When they are subjected to loads causing bending and/or axial compression, the steel plate elements of their profiled facing are susceptible to local buckling. However, when compared to panels with no foam core, they demonstrate significantly improved local buckling behaviour because they are supported by foam. In order to quantify such improvements and to validate the use of available design buckling stress formulae, an investigation using finite element analyses and laboratory experiments was carried out on steel plates that are commonly used in Australia of varying yield stress and thickness supported by a polystyrene foam core. This paper presents the details of this investigation, the buckling results and their comparison with available design buckling formulae.

On a New Theorem Involving the $\bar{H}$-function and a General Class of Polynomials

  • SHARMA, R.P.
    • Kyungpook Mathematical Journal
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    • v.43 no.4
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    • pp.489-494
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    • 2003
  • In this paper, we first establish an interesting theorem involving the $\bar{H}$-function introduced by Inayat-Hussain ([7], [8]). The convergence and existence condition, basic properties of this function were given by Buschman and Srivastava ([2]). Next, we obtain certain new integrals and an expansion formula by the application of our theorem. On account of the most general nature of the functions involved herein, our main findings are capable of yielding a large number of new, interesting and useful integrals, expansion formulae involving simple special functions and polynomials as their special cases. A known special case of our main theorem in also given ([11]).

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An Estimation of the Stress Concentration Factor for Mast Lug of Yacht with Different Shapes (해양레저용 요트의 마스트 러그 형상에 따른 응력집중계수 추정)

  • Roh, Ji-Sun;Oh, Dong-Jin;Kim, Myung-Hyun
    • Journal of Welding and Joining
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    • v.30 no.1
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    • pp.72-77
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    • 2012
  • Recently, according to the increase of income and development of quality of life, the leisure industry has been developed. In particular, the interest of design and manufacture technology of leisure yacht has significantly increased. However, domestic market of leisure ships is currently in its initiating stage. So research and development for structural strength of leisure yacht need to be investigated. In this study, lug of yacht's mast which is known for a critical damage region is explicitly considered. This paper deals with the estimation of stress concentration factors (SCFs) for lug of yacht's mast depending on dimensions of lug using hot spot stress. Also, SCF formulae is suggested using parametric study.

GENERALIZATION OF MULTI-VARIABLE MODIFIED HERMITE MATRIX POLYNOMIALS AND ITS APPLICATIONS

  • Singh, Virender;Khan, Mumtaz Ahmad;Khan, Abdul Hakim
    • Honam Mathematical Journal
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    • v.42 no.2
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    • pp.269-291
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    • 2020
  • In this paper, we get acquainted to a new generalization of the modified Hermite matrix polynomials. An explicit representation and expansion of the Matrix exponential in a series of these matrix polynomials is obtained. Some important properties of Modified Hermite Matrix polynomials such as generating functions, recurrence relations which allow us a mathematical operations. Also we drive expansion formulae and some operational representations.

Antistress effects of Lycii Radicis Cortex in the passive avoidance test and the forced swimming test (지골피(地骨皮)가 스트레스로 인한 기억저하와 우울행동에 미치는 영향)

  • Koh, Dong-Kyun;Lee, Tae-Hee
    • The Korea Journal of Herbology
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    • v.22 no.2
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    • pp.137-146
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    • 2007
  • Objectives : Investigation of the anitstress effects of Lycii Radicis Cortex. Methods : Behavior was measured in PAT and FST after applying stress to rats. Also, TH expression-degree in the regions of VTA and LC was measured, respectively. Results : The memory was improved in the LH 50mg/kg treated group in the passive avoidance test(P<0.01). The duration of immobility in the forced swimming test was significantly decreased in the LR 50mg/kg and 400mg/kg treated groups(P<0.0l). Stress-induced TH increases were meaningfully suppressed in the LR 100mg/kg and 400mg/kg treated group(P<0.001). Conclusion : Lycii Radicis Cortes has the effect of memory improving and antidepressant.

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