• 제목/요약/키워드: nonlinear bending

검색결과 487건 처리시간 0.022초

Nonlinear effect on wave loads of large ships in time domain

  • Kim, Mun-Sung;Park, Jong-Jin;Kim, Byung-Woo;Eom, Jae-Kwang
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제3권1호
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    • pp.95-104
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    • 2011
  • As sea state harsher in the ocean space, more large motion and wave loads occurs on ships hull by non-linear phenomena. To consider nonlinear effect on ships hull in the structural design verification, the direct calculation method with numerical approach is used rather than rule values for the reliable accuracy. In this paper, the non-linear wave loads analysis in time domain is performed by using a Rankine Panel Method together with numerical schemes. Linear calculations have been carried out based on DNV CSA-2 notation to generate the motion responses and wave loads of large ships. By short and long term analysis, the design wave amplitudes are selected for the nonlinear analysis. The maximum wave induced bending moment in hogging and sagging conditions are calculated in the nonlinear analysis. Also, the green water effect on the wave induced vertical bending moment was investigated. The results show the vertical bending moments are more influenced by green water in sagging condition than in hogging condition due to green water loading.

Nonlinear cylindrical bending analysis of E-FGM plates with variable thickness

  • Kaci, Abdelhakim;Belakhdar, Khalil;Tounsi, Abdelouahed;Bedia, El Abbes Adda
    • Steel and Composite Structures
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    • 제16권4호
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    • pp.339-356
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    • 2014
  • This paper presents a study of the nonlinear cylindrical bending of an exponential functionally graded plate (simply called E-FG) with variable thickness. The plate is subjected to uniform pressure loading and his geometric nonlinearity is introduced in the strain-displacement equations based on Von-Karman assumptions. The material properties of functionally graded plates, except the Poisson's ratio, are assumed to vary continuously through the thickness of the plate in accordance with the exponential law distribution; and the solution is obtained using Hamilton's principle for constant plate thickness. In order to analyze functionally graded plate with variable thickness, a numerical solution using finite difference method is used, where parabolic variation of the plate thickness is studied. The results for E-FG plates are given in dimensionless graphical forms; and the effects of material and geometric properties on displacements and normal stresses through the thickness are determined.

Nonlinear bending analysis of laminated composite stiffened plates

  • Patel, Shuvendu N.
    • Steel and Composite Structures
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    • 제17권6호
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    • pp.867-890
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    • 2014
  • This paper deals with the geometric nonlinear bending analysis of laminated composite stiffened plates subjected to uniform transverse loading. The eight-noded degenerated shell element and three-noded degenerated curved beam element with five degrees of freedom per node are adopted in the present analysis to model the plate and stiffeners respectively. The Green-Lagrange strain displacement relationship is adopted and the total Lagrangian approach is taken in the formulation. The convergence study of the present formulation is carried out first and the results are compared with the results published in the literature. The stiffener element is reformulated taking the torsional rigidity in an efficient manner. The effects of lamination angle, depth of stiffener and number of layers, on the bending response of the composite stiffened plates are considered and the results are discussed.

Geometrically nonlinear thermo-mechanical bending analysis of deep cylindrical composite panels reinforced by functionally graded CNTs

  • Salami, Sattar Jedari;Boroujerdy, Mostafa Sabzikar;Bazzaz, Ehsan
    • Advances in nano research
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    • 제10권4호
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    • pp.385-395
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    • 2021
  • This research concentrates on the effects of distributions and volume fractions of carbon nanotubes (CNT) on the nonlinear bending behavior of deep cylindrical panels reinforced by functionally graded carbon nanotubes under thermo-mechanical loading, hitherto not reported in the literature. Assuming the effects of shear deformation and moderately high value of the radius-to-side ratio (R/a), based on the first-order shear deformation theory (FSDT) and von Karman type of geometric nonlinearity, the governing system of equations is obtained. The analytical solution of field equations is carried out using the Ritz method together with the Newton-Raphson iterative scheme. The effects of radius-to-side ratio, temperature change, and boundary conditions on the nonlinear response of the functionally graded carbon nanotubes reinforced composite deep cylindrical panel (FG-CNTRC) are investigated. It is concluded that, among the five possible distribution patterns of CNT, FG-V CNTRC deep cylindrical panel is strongest with the highest bending moment and followed by UD, X, O, and Ʌ-ones. Also, considering the present deep cylindrical panel formulation increases the accuracy of the results. Hence, according to the noticeable amount of R/a in FG-CNTRC cylindrical panels, it is mandatory to apply strain-displacement relations of deep cylindrical panels for bending analysis of FG-CNTRC which certainly is desirable for industrial application.

Thickness stretching and nonlinear hygro-thermo-mechanical loading effects on bending behavior of FG beams

  • Faicel, Khadraoui;Abderahmane, Menasria;Belgacem, Mamen;Abdelhakim, Bouhadra;Fouad, Bourada;Soumia, Benguediab;Kouider Halim, Benrahou;Mohamed, Benguediab;Abdelouahed, Tounsi
    • Structural Engineering and Mechanics
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    • 제84권6호
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    • pp.783-798
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    • 2022
  • This study attempts to investigate the impact of thickness stretching and nonlinear hygro-thermo-mechanical loading on the bending behavior of FG beams. Young's modulus, thermal expansion, and moisture concentration coefficients vary gradually and continuously according to a power-law distribution in terms of the volume fractions of the constituent materials. In addition, the interaction between the thermal, mechanical, and moisture loads is involved in the governing equilibrium equations. Using the present developed analytical model and Navier's solution technique, the numerical results of non-dimensional stresses and displacements are compared with those obtained by other 3D theories. Furthermore, the present analytical model is appropriate for investigating the static bending of FG beams exposed to intense hygro-thermo-mechanical loading used for special technical applications in aerospace, automobile, and civil engineering constructions.

비전통적 오차 최소화 방식에 기초한 비선형 빔의 휨에 대한 혼합형 유한요소해석 모델 연구 (A Study on the Mixed Finite Element Models of Nonlinear Beam Bending Based on the Unconventional Residual Minimizing Method)

  • 김우람;최윤대
    • 한국군사과학기술학회지
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    • 제12권6호
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    • pp.785-795
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    • 2009
  • In this paper, new type of finite element models for the analysis of nonlinear beam bending are developed by using unconventional residual minimizing method to increase accuracy of finite element solutions and overcome some of computational drawbacks. Developing procedures of the new models are presented along with the comparison of the numerical results of existing beam bending models.

Simplified equations for Vierendeel design calculations of composite beams with web openings

  • Panedpojaman, Pattamad
    • Steel and Composite Structures
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    • 제27권4호
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    • pp.401-416
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    • 2018
  • Composite beams with web openings are vulnerable to Vierendeel bending failure. The available methods provide quite conservative estimates of Vierendeel bending resistance. An alternative design method to compute the resistance was proposed in this study, based on quadratic nonlinear interactions of normalized shear force, axial force and Vierendeel bending moment. The interactions of the top and bottom Tee section must satisfy mutual conditions to prevent the Vierendeel failure. The normalized shear force and Vierendeel bending moment of the composite part were used instead in the top Tee interaction. The top Tee axial force was computed based on force equilibrium. Based on a rigid-plastic model, the composite resistance is estimated using an effective slab width of the vertical shear resistance. On using the proposed method, nonlinear reductions due to shear loads and axial forces are not required, in contrast to prior methods. The proposed method was validated against experiments from literature. The method limitations and accuracy as well as the Vierendeel behavior were investigated by finite element simulations, with varied composite beam parameters. The proposed design loads are less conservative than earlier estimates and deviate less from the simulations.

Nonlinear flexural analysis of laminated composite flat panel under hygro-thermo-mechanical loading

  • Kar, Vishesh R.;Mahapatra, Trupti R.;Panda, Subrata K.
    • Steel and Composite Structures
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    • 제19권4호
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    • pp.1011-1033
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    • 2015
  • In this article, large amplitude bending behaviour of laminated composite flat panel under combined effect of moisture, temperature and mechanical loading is investigated. The laminated composite panel model has been developed mathematically by introducing the geometrical nonlinearity in Green-Lagrange sense in the framework of higher-order shear deformation theory. The present study includes the degraded composite material properties at elevated temperature and moisture concentration. In order to achieve any general case, all the nonlinear higher order terms have been included in the present formulation and the material property variations are introduced through the micromechanical model. The nonlinear governing equation is obtained using the variational principle and discretised using finite element steps. The convergence behaviour of the present numerical model has been checked. The present proposed model has been validated by comparing the responses with those available published results. Some new numerical examples have been solved to show the effect of various parameters on the bending behaviour of laminated composite flat panel under hygro-thermo-mechanical loading.

컨테이너선의 최종 종강도 평가를 위한 비선형 유한요소 해석의 적용 (Nonlinear Finite Element Analysis for Ultimate Hull Girder Strength of Container Ship)

  • 염철웅;문정우;노인식
    • 대한조선학회논문집
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    • 제52권4호
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    • pp.349-355
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    • 2015
  • Through the recent accident, the checking of ultimate hull girder capacity for container ship should be needed. Smith’s method is well known as the only simplified method to access rapidly for ultimate hull girder capacity except very expensive nonlinear F.E approach. This simplified method, however, is admitted to apply only to bulker and tanker in accordance with Classification Rules up to now. The targets of this study are to verify effectiveness of the simplified method for container ship’s ultimate hull girder strength and to propose the safety factor considering the local bending in double bottom structures due to out of plane loads through the nonlinear F.E analyses. Two different sized ships and three loading conditions which are pure bending, homo-loading and one-bay empty condition were used for this study. Based on the F.E results, the present study showed that CSR’s simplified method is available for the ultimate hull girder strength of container ship and over 1.2 of safety factor should be applied to consider the local bending effect in double bottom structures due to out of plane loads such as sea pressure an cargo.

DNA 벤딩(휨) 없이 돌연변이 cAMP 수용체 단백질의 결합 (Mutant cAMP Receptor Protein Binds to DNA without DNA Bending)

  • 강종백
    • 생명과학회지
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    • 제16권7호
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    • pp.1225-1228
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    • 2006
  • cAMP와 복합체를 형성한 cAMP 수용성 단백질은 DNA와 결합하여 ${\sim}90$도 정도의 예리한 DNA bending을 유도한다. 그러나 이전의 논문[5]에 의하면 돌연변이 CRP:cGMP 복합체는 돌연변이 CRP:cAMP 복합체보다 아크릴아미드 겔에서 상대적으로 빠른 이동속도를 보였다. CRP와 cyclic nucleotide 존재하에서 DNA의 구조 변화를 알아보기 위하여 6가지 준비된 DNA조각들을 사용하여 몰 고리화 인자(molar cyclization factor)[13]를 측정하였다. 이들 자료를 사용하여 nonlinear regression analysis를 통하여 cGMP 존재하에서 돌연변이 CRP는 DNA bending을 형성하지 않으나 CAMP 존재하에서 나선 꼬임과 같은 DNA 구조 변화없이 DNA bending을 형성한다.