• 제목/요약/키워드: Shell theory

검색결과 538건 처리시간 0.024초

RC 쌍곡포물선 내림마루형식 지붕 쉘의 거동 (Behavior of RC Gabled Hyperbolic Paraboloid Shell)

  • 민창식;이재석
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1995년도 가을 학술발표회 논문집
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    • pp.207-214
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    • 1995
  • Muller-Scordelis RC Gabled Hyperbolic Paraboloid (HP) shell is divided by 40 40 mesh and analyzed using a finite element computer program which was developed by Mahamoud and Gupta and migrated to a Cray Y-U 00 at SERI. The results are compared with membrane theory and Muller-Scordelis's results. Comparing with Muller-Scordelis's result it shows that good agreements between two analyses, except a discrepancy in the normal deflections of the crown beam. The behavior of the crown beam is quite sensitive and needs further study. The analysis shows that Gabled HP shells do not behave as the typical shells according to the membrane theory. To design such Gabled HP shells we rather use a finite element analysis which simulates realistically membrane and honing actions of the shells.

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박판 탄성구조물의 최적해석을 위한 계층적 모델에 관한 연구 (A Study of Hierarchical Models for the Optimal Analysis of Thin Elastic Structures)

  • 조진래
    • 대한기계학회논문집A
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    • 제21권6호
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    • pp.933-941
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    • 1997
  • In the analysis of thin elastic structures such as plate and shell-like structures, classical lower-order theories like Kirchhoff and Reissner-Mindin theories are insufficient to describe the behavior of such structures in the region where the state of stresses is complex. On the other hand, the fully three dimensional theory of linear elasticity can provide desired analysis accuracy, but requires expensive computational implementation compared to the classical theories. This paper is concerned with the development of hierarchical models for elastic structures which can be used for hierarchical modeling for the analysis of such structures. Derivation and limit model analysis (when the thickness of structures tends to zero) of hierarchical models are presented together with a introduction of modeling error estimation. Also, numerical results supporting theoretical results are given.

Secondary buckling analysis of spherical caps

  • Kato, Shiro;Chiba, Yoshinao;Mutoh, Itaru
    • Structural Engineering and Mechanics
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    • 제5권6호
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    • pp.715-728
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    • 1997
  • The aim of this paper is to investigate the secondary buckling behaviour and mode-coupling of spherical caps under uniformly external pressure. The analysis makes use of a rotational finite shell element on the basis of strain-displacement relations according to Koiter's shell theory (Small Finite Deflections). The post-buckling behaviours after a bifurcation point are analyzed precisely by considering multi-mode coupling between several higher order harmonic wave numbers: and on the way of post-buckling path the positive definiteness of incremental stiffness matrix of uncoupled modes is examined step by step. The secondary buckling point that has zero eigen-value of incremental stiffness matrix and the corresponding secondary mode are obtained, moreover, the secondary post-buckling path is traced.

동하중을 받는 복합재료 원통셸의 동적거동 해석 (On the Dynamic Response of Laminated Circular Cylindrical Shells under Dynamic Loads)

  • 이영신;이기두
    • 대한기계학회논문집
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    • 제17권11호
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    • pp.2684-2693
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    • 1993
  • The free vibration and dynamic response of cross-ply for CFRP and GFRP laminated circular cylindrical shells under dynamic loadings are investigated by using the first-order shear deformation shell theory. The modal analysis technique is used to develop the analytical solutions of simply supported cylindrical shells under dynamic load. The analysis is based on an expansion of the loads, displacements and rotations in a double Fourier series which satisfies the and boundary conditions of simply support. Analytical solution is assumed to be separable into a function of time and a function of position. In this paper, the considered load forces are step pulse, sine pulse, triangular(1, 2, 3) pulse and exponential pulse. The solution for a given loading pulse can be found by involving the convolution integral. The results show that the dynamic response are governed primarily by the natural period of the structure.

Multi-phase magneto-electro-elastic stability of nonlocal curved composite shells

  • Song, Yu;Xu, Jiangyang
    • Steel and Composite Structures
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    • 제41권6호
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    • pp.775-785
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    • 2021
  • Analysis of nonlinear stability behaviors of composite magneto-electro-elastic (MEE) nano-scale shells have been represented in this reaserch. The shell is assumed to be under a transverse mechanical load. Composite MEE material has been produced form piezoelectric and magnetic ingradients in which the material charactristics may be varied according to the percentages of the ingradients. The governing equations including scale effects have been developed in the framework of nonlocal elasticity. It has been demonstrated that nonlinear stability behaviors of MEE nano-sized shells in electrical-magnetic fields rely on the percentages of the ingradients. Also, the efficacy of nonlocality parameter, magnetic intensities and electrical voltages on stability loads of the nanoshells have been researched.

A numerical study on vibration behavior of fiber-reinforced composite panels in thermal environments

  • Al-Toki, Mouayed H.Z.;Ali, Hayder A.K.;Ahmed, Ridha A.;Faleh, Nadhim M.;Fenjan, Raad M.
    • Structural Engineering and Mechanics
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    • 제82권6호
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    • pp.691-699
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    • 2022
  • This paper is devoted to the presentation of a numerical study on vibration behavior of composite panels reinforced by glass fibres and carbon nanotubes (CNTs) subjected to thermal environments. The effect of temperature variation has been included as thermal load acting on in-plane direction of the panel. To model the composite material, a micromechanical model which contains random dispersion of nanotubes and single-direction fibers has been selected. The geometry of the panel has been considered to have a single curveture along its width. Based on the above assumptions, the governing equations have been derived by using thin shell theory capturing the panel curveture and also nonlinear deflections. Finally, the panel dependence on various factors such as the curveture, nanotube amount, fiber volume, fiber direction and temperature variation has been researched.

Correlation between frequency and Poisson's ratio: Study of durability of armchair SWCNTs

  • Muzamal Hussain;Mohamed A. Khadimallah;Abdelouahed Tounsi
    • Computers and Concrete
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    • 제32권3호
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    • pp.303-311
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    • 2023
  • An analysis of the Poisson's ratios influence of single walled carbon nanotubes (SWCNTs) based on Sander's shell theory is carried out. The effect of Poisson's ratio, boundary conditions and different armchairs SWCNTs is discussed and studied. The Galerkin's method is applied to get the eigen values in matrix form. The obtained results shows that, the decrease in ratios of Poisson, the frequency increases. Poisson's ratio directly measures the deformation in the material. A high Poisson's ratio denotes that the material exhibits large elastic deformation. Due to these deformation frequencies of carbon nanotubes increases. The frequency value increases with the increase of indices of single walled carbon nanotubes. The prescribe boundary conditions used are simply supported and clamped simply supported. The Timoshenko beam model is used to compare the results. The present method should serve as bench mark results for agreeing the results of other models, with slightly different value of the natural frequencies.

원통형 셸에 발생한 구조손상의 규명 (Identification of the Structural Damages in a Cylindrical Shell)

  • 김성환;이우식
    • 대한기계학회논문집A
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    • 제29권12권
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    • pp.1586-1596
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    • 2005
  • In this paper, a structural damage identification method (SDIM) is developed to identify the line crack-like directional damages generated within a cylindrical shell. First, the equations of motion for a damaged cylindrical shell are derived. Based on a theory of continuum damage mechanics, a small material volume containing a directional damage is represented by the effective orthotropic elastic stiffness, which is dependent of the size and the orientation of the damage with respect to the global coordinates. The present SDIM is then derived from the frequency response function (FRF) directly solved from the equations of motion of a damaged shell. In contrast with most existing SDIMs which require the modal parameters measured in both intact and damaged states, the present SDIM may require only the FRF-data measured at damaged state. By virtue of utilizing FRF-data, one may choose as many sets of excitation frequency and FRF measurement point as needed to acquire a sufficient number of equations for damage identification analysis. The numerically simulated damage identification tests are conducted to study the feasibility of the present SDIM.

2층 원통쉘의 탄성 충격응답 해석 (A Elastic Analysis for the Impact Response Analysis of Two-Layered Cylindrical Shells)

  • 박승진;미카미 타카시
    • 한국강구조학회 논문집
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    • 제12권6호
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    • pp.639-648
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    • 2000
  • 충격하중을 받는 단순지지된 2층 원통쉘의 탄성 충격응답해석에 대한 모델해석을 실시하였다. 2층 원통쉘에 대한 지배방정식은 전단변형과 회전관성을 고려한 단층 수정쉘 이론을 적용하여 충격하중을 받는 철-콘크리트 원통쉘에 대해서 해석하였다. 수치결과에서 알 수 있듯이 응답의 기본적 특성 이해 및 유한요소법 등의 수치해법에 대한 정도 확립에 유효하게 이용될 수 있다고 생각한다.

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SEA를 이용한 셸과 실린더의 최적 용접 조건 (Optimum Welding Position between Shell and Cylinder based on SEA)

  • 이장우;양보석;안병하
    • 한국소음진동공학회논문집
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    • 제14권5호
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    • pp.370-376
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    • 2004
  • The overall aim of this paper is to determine coupling loss factor of welding point between shell and cylinder using loss factor and structural loss factor. For this purpose, two kinds of loss factor were adopted. One is loss factor of each sub structure, another is structural loss factor based on the complex welded or assembled structure. Using these two parameters, it ispossible to derive the coupling loss factor which represent characteristic condition of SEA theory. Coupling loss factor of conjunction in complex structure was expressed as power balance equation. The derived equation for a coupling loss factor has been simplified on the assumption of one way (uni-directional) power flow between multi-sub structures. Using these conditions, it is possible to find the equation of coupling loss factor expressed as above two loss factors. To check the effectiveness of above equation, this paper used two-stage application. The first approach was application between simple cylinder and shell. The next was adopted rotary compressor. Rotary compressor has three main conjunctions between shell and internal vibration part. This equation was applied to find out the optimum welding point with respect to reduce the noise propagation. It shows the effective tool to evaluate the coupling loss factor in complex structure