• Title/Summary/Keyword: Shell elements

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Parametric modeling and shape optimization of four typical Schwedler spherical reticulated shells

  • Wu, J.;Lu, X.Y.;Li, S.C.;Xu, Z.H.;Li, L.P.;Zhang, D.L.;Xue, Y.G.
    • Structural Engineering and Mechanics
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    • v.56 no.5
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    • pp.813-833
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    • 2015
  • Spherical reticulated shells are widely applied in structural engineering due to their good bearing capability and attractive appearance. Parametric modeling of spherical reticulated shells is the basis of internal analysis and optimization design. In the present study, generation methods of nodes and the corresponding connection methods of rod elements are proposed. Modeling programs are compiled by adopting the ANSYS Parametric Design Language (APDL). A shape optimization method based on the two-stage algorithm is presented, and the corresponding optimization program is compiled in FORTRAN environment. Shape optimization is carried out based on the objective function of the minimum total steel consumption and the restriction condition of strength, stiffness, slenderness ratio, stability. The shape optimization of four typical Schwedler spherical reticulated shells is calculated with the span of 30 m~80 m and rise to span ratio of 1/7~1/2. Compared with the shape optimization results, the variation rules of total steel consumption along with the span and rise to span ratio are discussed. The results show that: (1) The left and right rod-Schwedler spherical reticulated shell is the most optimized and should be preferentially adopted in structural engineering. (2) The left diagonal rod-Schwedler spherical reticulated shell is second only to left and right rod regarding the mechanical behavior and optimized results. It can be applied to medium and small-span structures. (3) Double slash rod-Schwedler spherical reticulated shell is advantageous in mechanical behavior but with the largest total weight. Thus, this type can be used in large-span structures as far as possible. (4) The mechanical performance of no latitudinal rod-Schwedler spherical reticulated shell is the worst and with the second largest weight. Thus, this spherical reticulated shell should not be adopted generally in engineering.

Development Plan for the First GMT ASM Reference Body

  • Yang, Ho-Soon;Oh, Chang-Jin;Biasi, Roberto;Gallieni, Daniele
    • The Bulletin of The Korean Astronomical Society
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    • v.46 no.2
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    • pp.76.3-77
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    • 2021
  • GMT secondary mirror system consists of 7 segmented adaptive mirrors. Each segment consists of a thin shell mirror, actuators and a reference body. The thin shell has a few millimeters of thickness so that it can be easily bent by push and pull force of actuators to compensate the wavefront disturbance of light due to air turbulence. The one end of actuator is supported by the reference body and the other end is adapted to this thin shell. One of critical role of the reference body is to provide the reference surface for the thin shell actuators. Therefore, the reference body is one of key components to succeed in development of GMT ASM. Recently, Korea Research Institute of Standards and Science (KRISS) and University of Arizona (UA) has signed a contract that they will cooperate to develop the first set of off-axis reference body for GMT ASM. This project started August 2021 and will be finished in Dec. 2022. The reference body has total 675 holes to accommodate actuators and 144 pockets for lightweighting. The rear surface has a curved rib shape with radius of curvature of 4387 mm with offset of 128.32mm. Since this reference body is placed just above the thin shell so that the front surface shape needs to be close to that of thin shell. The front surface has a concave off-axis asphere, of which radius of curvature is 4165.99 mm and off-axis distance is about 1088 mm. The material is Zerodur CTE class 1 (CTE=0.05 ppm/oC) from SCHOTT. All the actuator holes and pockets are machined normal to the front surface. It is a very complex challenging optical elements that involves sophisticated machining process as well as accurate metrology. After finishing the fabrication of reference body in KRISS, it will be shipped to UA for final touches and finally sent to Adoptica in Italy, in early 2023. This paper presets the development plan for the GMT ASM Reference Body and relevant fabrication and metrology plans.

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Numerical Study of the Formability of Fiber Metal Laminates Based on Self-reinforced Polypropylene (자기 강화형 폴리프로필렌을 이용한 섬유 금속 적층판의 성형성에 관한 수치해석적 연구)

  • Lee, B.E.;Kim, J.;Kang, B.S.;Song, W.J.
    • Transactions of Materials Processing
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    • v.22 no.3
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    • pp.150-157
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    • 2013
  • Fiber metal laminates (FMLs) are layered materials comprised of thin metal sheets and fiber reinforced plastic (FRP). This paper presents the numerical study of the formability enhancement of FMLs composed of an aluminum alloy and self-reinforced polypropylene (SRPP) composite. In this study, a numerical simulation based on finite element (FE) modeling is proposed to evaluate the formability of FMLs using ABAQUS/Explicit. The FE model, which included a single layer of solid and shell elements to model the blank, used discrete layers of the solid element with a contact model and shell elements with a friction based model for the aluminum alloy-composite interface conditions. This method allowed the description of each layer of FMLs and was able to simulate the interaction between the layers. It is noted through this research that the proposed numerical simulation described properly the formability enhancement of the FMLs and the simulation results showed good agreement with experimental results.

Structural Analysis of Composite Sandwich Panel under Compression Loading (압축하중을 받는 복합재료 샌드위치 패널의 구조해석)

  • Kim, Kwang-Soo;Jang, Young-Soon
    • Aerospace Engineering and Technology
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    • v.9 no.1
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    • pp.9-16
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    • 2010
  • In this study, structural analyses were carried out on the composite sandwich panel which was tested under compression loading. In the structural analyses, three types of finite element modelling were considered and linear buckling analysis and nonlinear analysis were performed for each FE-model. Through the analyses, it was found that shell elements for face parts and solid elements for core part were appropriate for the better prediction of the buckling load of the panel. If the material failure of the face is critical than overall buckling of the sandwich panel, the use of one shell element through the thickness direction was suitable in the FE-model for the better predictions of failure location and failure load.

Numerical Analysis for the Injection Molding of an Aspheric Lens for a Photo Pick-up Device (광픽업용 비구면 렌즈 사출성형 공정의 수치해석)

  • 박근;한철엽
    • Journal of the Korean Society for Precision Engineering
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    • v.21 no.11
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    • pp.163-170
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    • 2004
  • In order to produce high-quality optical components, aspheric lenses have been widely applied in recent years. An aspheric lens consists of aspheric surfaces instead of spherical ones, which causes difficulty in the design process as well as the manufacturing procedure. Although injection molding is widely used to fabricate optical lenses owing to its high productivity, there remains lots of difficulty to determine appropriate mold design factors and injection molding parameters. In the injection molding fields, computer simulation has been effectively applied to analyze processes based on the shell analysis so far. Considering the geometry of optical lenses, however, numerical analysis based on solid elements has been reported as more reliable approach than shell -based one. The present work covers three-dimensional injection molding simulation using MP1/Flow3D and relevant deformation analysis of an injection molded plastic lens based on solid elements. Numerical analysis has been applied to the injection molding processes of an aspheric lens for a photo pick-up device. The reliability of the proposed approach has been verified in comparison with the experiments.

Effects of Alloying Elements on the Mechniacal Properties of 3.6wt%C-2.6wt%Si Ductile Cast Iron Poured into Shell Stack Mold (쉘 스택 주조 3.6wt%C-2.6wt%Si 조성 구상흑연주철의 기계적 성질에 미치는 합금 원소의 영향)

  • Kim, Hyo-Min;Kwon, Hae-Wook;Yeo, In-Dong;Nam, Won-Sick
    • Journal of Korea Foundry Society
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    • v.29 no.3
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    • pp.128-137
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    • 2009
  • The effects of alloying elements on the mechanical properties of 3.6wt%C-2.6wt%C ductile cast iron poured into shell stack molds were investigated. The strength and hardness of the specimens obtained from the center layer in the 5-story stack mold were the lowest and those for other specimens were increased with increased distance from the center. The strength and hardness of the specimens obtained from the center layer were decreased with increased number of layers of the shell stack mold. The strength and hardness of the smaller specimens with the diameter of 9.5 mm were higher than those of 17.5 mm. On the other hand, the elongation of the former was lower than that of the latter. The strength and hardness were increased and the elongation was decreased roughly with the increased amounts of manganese and copper added, respectively. The strength and hardness were increased with the incrcased amount of molybdenum added to 0.40wt% and rather decreased with that to 0.80wt%. Those were greatly increased with the increased amount of tin added and the elongation was roughly decreased with it.

Ductile Fracture of a Marine Structural Steel based on HC-DSSE Combined Fracture Strain Formulation (HC-DSSE 조합 파단 변형률 정식화에 기반한 선박해양 구조물용 강재의 연성 파단 예측)

  • Park, Sung-Ju;Lee, Kangsu;Cerik, Burak Can;Kim, Younghyn;Choung, Joonmo
    • Journal of the Society of Naval Architects of Korea
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    • v.56 no.1
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    • pp.82-93
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    • 2019
  • In this paper, the ductile fracture criteria for a marine structural steel (EH36) are presented and validated. The theoretical background of the recently developed Hosford-Coulomb (HC) fracture strain model and the DSSE fracture strain model which was developed to apply to the shell elements is described. In order to accurately estimate the flow stress in the large strain range up to the fracture, the material constants for the combined Swift-Voce constitutive equation were derived by the numerical analyses of the smooth and notched specimens made from the EH36 steel. As a result of applying the Swift-Voce flow stress to the other notched specimen model, a very accurate load - displacement curve could be derived. The material constants of the HC fracture strain and DSSE fracture strain models were independently calibrated based on the numerical analyses for the smooth and notch specimen tests. The user subroutine (VUMAT of Abaqus) was developed to verify the accuracy of the combined HC-DSSE fracture strain model. An asymmetric notch specimen was used as verification model. It was confirmed that the fracture of the asymmetric specimen can be accurately predicted when a very small solid elements are used together with the HC fracture strain model. On the other hand, the combined HC-DSSE fracture strain model can predict accurately the fracture of shell element model while the shell element size effect becomes less sensitive.

Finite Element Analysis of Bolted Connections Using Joint Elements (접합요소를 이용한 볼트 접합부의 유한요소해석)

  • 변대근;윤성기;박성수
    • Computational Structural Engineering
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    • v.7 no.2
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    • pp.139-146
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    • 1994
  • In this study, the finite element analysis using joint elements, bolt elements, and shell elements is presented to investigate the behavior of bolted connections. The contact of plates and the high-strength, pretensioned bolts are simply idealized by joint elements and bolt elements, respectively. The initial stiffness is determined through the presented method and the non-linear analysis is archived by a constant-arc-length method based on Newton-Raphson method. The analysis results of a semi-rigid connection(web & flange angles) and a moment connection (shear & moment plates) demonstrate the exactness and applicability of the presented method. And the results indicates that the consideration of slip and 3-dimensional deformation is needed for an accurate prediction of bolted connections.

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Three dimensional dynamic analysis of underground tunnels by coupling of boundary and finite elements (유한요소-경계요소 조합에 의한 터널의 3차원 동적해석)

  • 이찬우;김문겸;황학주
    • Computational Structural Engineering
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    • v.8 no.3
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    • pp.91-102
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    • 1995
  • For the wave propagation problems, the influence of time-dependent dynamic behavior must be accounted in the analysis. In this study, the dynamic analysis method which combines finite elements and boundary elements is developed for the wave propagation problem modelling the infinity of medium through 3-D boundary elements and underground structure through degenerated finite shell elements. Performing dynamic analysis of underground tunnels by the proposed coupling method of boundary and finite elements, it is found that the change of the stiffness of structures has a good effect on the response. It is also found that the consideration of the repeating effect due to moving traffic loads which is difficult with existing 2-D dynamic analysis can be possible with the 3-D analysis in time domain.

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On the Free Vibration Analysis of Thin-Walled Box Beams having Variable Cross-Sections (단면형상이 변하는 박판보의 진동해석에 관한 연구)

  • Lee, Gi-Jun;Sa, Jin-Yong;Kim, Jun-Sik
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.30 no.2
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    • pp.111-117
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    • 2017
  • In this paper, a local deformation effect in thin-walled box beams is investigated via a finite element modal analysis. The analysis is carried out for single-cell and multi-cell box beam configurations. The single-cell box beam with and without a neck, which mimics a simple wind-turbine blade, is analyzed first. The results obtained by shell elements are compared to those of one-dimensional(1D) beam elements. It is observed that the wall thickness plays a crucial role in the natural frequencies of the beam. The 1D beam analysis deviates from the shell analysis when the wall thickness is either thin or thick. The shell modes(local deformations) are dominant as it becomes thin, whereas the shear deformation effects are significant as it does thick. The analysis is extended to the single-cell box beam with a neck, in which the shell modes are confined to near the neck. Finally the multi-cell box beam with a taper, which is quite similar to real wind-turbine blade configuration, is considered to investigate the local deformation effect. The results reveal that the 1D beam analysis cannot match with the shell analysis due to the local deformation, especially for the lagwise frequencies. There are approximately 5~7% errors even if the number of segments is increased.