• 제목/요약/키워드: best-fit paradigm

검색결과 4건 처리시간 0.017초

Function space formulation of the 3-noded distorted Timoshenko metric beam element

  • Manju, S.;Mukherjee, Somenath
    • Structural Engineering and Mechanics
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    • 제69권6호
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    • pp.615-626
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    • 2019
  • The 3-noded metric Timoshenko beam element with an offset of the internal node from the element centre is used here to demonstrate the best-fit paradigm using function space formulation under locking and mesh distortion. The best-fit paradigm follows from the projection theorem describing finite element analysis which shows that the stresses computed by the displacement finite element procedure are the best approximation of the true stresses at an element level as well as global level. In this paper, closed form best-fit solutions are arrived for the 3-noded Timoshenko beam element through function space formulation by combining field consistency requirements and distortion effects for the element modelled in metric Cartesian coordinates. It is demonstrated through projection theorems how lock-free best-fit solutions are arrived even under mesh distortion by using a consistent definition for the shear strain field. It is shown how the field consistency enforced finite element solution differ from the best-fit solution by an extraneous response resulting from an additional spurious force vector. However, it can be observed that when the extraneous forces vanish fortuitously, the field consistent solution coincides with the best-fit strain solution.

An improved parametric formulation for the variationally correct distortion immune three-noded bar element

  • Mukherjee, Somenath;Manju, S.
    • Structural Engineering and Mechanics
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    • 제38권3호
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    • pp.261-281
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    • 2011
  • A new method of formulation of a class of elements that are immune to mesh distortion effects is proposed here. The simple three-noded bar element with an offset of the internal node from the element center is employed here to demonstrate the method and the principles on which it is founded upon. Using the function space approach, the modified formulation is shown here to be superior to the conventional isoparametric version of the element since it satisfies the completeness requirement as the metric formulation, and yet it is in agreement with the best-fit paradigm in both the metric and the parametric domains. Furthermore, the element error is limited to only those that are permissible by the classical projection theorem of strains and stresses. Unlike its conventional counterpart, the modified element is thus not prone to any errors from mesh distortion. The element formulation is symmetric and thus satisfies the requirement of the conservative nature of problems associated with all self-adjoint differential operators. The present paper indicates that a proper mapping set for distortion immune elements constitutes geometric and displacement interpolations through parametric and metric shape functions respectively, with the metric components in the displacement/strain replaced by the equivalent geometric interpolation in parametric co-ordinates.

The unsymmetric finite element formulation and variational incorrectness

  • Prathap, G.;Manju, S.;Senthilkumar, V.
    • Structural Engineering and Mechanics
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    • 제26권1호
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    • pp.31-42
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    • 2007
  • The unsymmetric finite element formulation has been proposed recently to improve predictions from distorted finite elements. Studies have also shown that this special formulation using parametric functions for the test functions and metric functions for the trial functions works surprisingly well because the former satisfy the continuity conditions while the latter ensure that the stress representation during finite element computation can retrieve in a best-fit manner, the actual variation of stress in the metric space. However, a question that remained was whether the unsymmetric formulation was variationally correct. Here we determine that it is not, using the simplest possible element to amplify the principles.

4차 산업혁명 시대의 사물인터넷 산업 발전전략에 관한 연구: 기업측면의 비즈니스 모델혁신 방향을 중심으로 (A Study on the Strategy of IoT Industry Development in the 4th Industrial Revolution: Focusing on the direction of business model innovation)

  • 정민의;유성진
    • 지능정보연구
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    • 제25권2호
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    • pp.57-75
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    • 2019
  • 본 논문에서는 4차 산업혁명 핵심기술 중 가장 활발하게 산업화가 진행되고 있는 사물인터넷 산업을 대상으로 비즈모델 혁신방향 중심의 연구를 수행하였다. 글로벌 트렌드 분석을 위해 PEST분석을 활용하여 정책적, 경제적, 사회적, 기술적 이슈를 도출하였고, Gartner, International Data Corporation 등 ICT관련 조사 분석기관의 사물인터넷산업에 대한 미래전망을 제시하였는데, 사물인터넷은 인프라 및 플랫폼을 기반으로 산업인터넷(IIoT), 소물인터넷(IoST) 등으로 네트워크 기술경쟁이 이슈가 될 것으로 전망하였다. 4차 산업혁명으로 인해 급변하는 산업계에 대응하기 위해 기존의 비즈니스 모델 혁신을 위한 다양한 경영학적 방법론들을 검토하였고, '적용성', '민첩성', '다양성', '연계성' 4가지 기준을 가지고 전문가 설문조사를 수행하여 Business Model Canvas 모델이 비즈니스 모델 혁신 방법론으로 가장 적합하다는 AHP 분석결과를 도출하였다. Business Model Canvas는 비즈니스 모델 혁신을 위한 방법론으로 비교적 최근에 제시된 경영전략이며, 9개의 블록 접근 방식을 통해 비즈니스모델의 가치를 식별하며, 비즈니스의 4대 핵심 영역인 고객, 주문, 인프라, 사업타당성 분석 등을 포괄한다. 결론적으로 ICT융합산업 분야에서 어떠한 Business Model Canvas 모델을 방향으로 적용할지에 대한 고찰을 기술하였다.