• Title/Summary/Keyword: Elastic bending structure

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Deflections and rotations in rectangular beams with straight haunches under uniformly distributed load considering the shear deformations

  • Barquero-Cabrero, Jose Daniel;Luevanos-Rojas, Arnulfo;Lopez-Chavarria, Sandra;Medina-Elizondo, Manuel;Velazquez-Santillan, Francisco;Sandoval-Rivas, Ricardo
    • Smart Structures and Systems
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    • v.22 no.6
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    • pp.689-697
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    • 2018
  • This paper presents a model of the elastic curve for rectangular beams with straight haunches under uniformly distributed load and moments in the ends considering the bending and shear deformations (Timoshenko Theory) to obtain the deflections and rotations on the beam, which is the main part of this research. The traditional model of the elastic curve for rectangular beams under uniformly distributed load considers only the bending deformations (Euler-Bernoulli Theory). Also, a comparison is made between the proposed and traditional model of simply supported beams with respect to the rotations in two supports and the maximum deflection of the beam. Also, another comparison is made for beams fixed at both ends with respect to the moments and reactions in the support A, and the maximum deflection of the beam. Results show that the proposed model is greater for simply supported beams in the maximum deflection and the traditional model is greater for beams fixed at both ends in the maximum deflection. Then, the proposed model is more appropriate and safe with respect the traditional model for structural analysis, because the shear forces and bending moments are present in any type of structure and the bending and shear deformations appear.

Static performance of a new GFRP-metal string truss bridge subjected to unsymmetrical loads

  • Zhang, Dongdong;Yuan, Jiaxin;Zhao, Qilin;Li, Feng;Gao, Yifeng;Zhu, Ruijie;Zhao, Zhiqin
    • Steel and Composite Structures
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    • v.35 no.5
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    • pp.641-657
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    • 2020
  • A unique lightweight string truss deployable bridge assembled by thin-walled fiber reinforced polymer (FRP) and metal profiles was designed for emergency applications. As a new structure, investigations into the static structural performance under the serviceability limit state are desired for examining the structural integrity of the developed bridge when subjected to unsymmetrical loadings characterized by combined torsion and bending. In this study, a full-scale experimental inspection was conducted on a fabricated bridge, and the combined flexural-torsional behavior was examined in terms of displacement and strains. The experimental structure showed favorable strength and rigidity performances to function as deployable bridge under unsymmetrical loading conditions and should be designed in accordance with the stiffness criterion, the same as that under symmetrical loads. In addition, a finite element model (FEM) with a simple modeling process, which considered the multi segments of the FRP members and realistic nodal stiffness of the complex unique hybrid nodal joints, was constructed and compared against experiments, demonstrating good agreement. A FEM-based numerical analysis was thereafter performed to explore the effect of the change in elastic modulus of different FRP elements on the static deformation of the bridge. The results confirmed that the change in elastic modulus of different types of FRP element members caused remarkable differences on the bending and torsional stiffness of the hybrid bridge. The global stiffness of such a unique bridge can be significantly enhanced by redesigning the critical lower string pull bars using designable FRP profiles with high elastic modulus.

Mechanical characterization of 100 nm-thick Au thin film using strip bending test (띠 굽힘 시험을 통한 100 nm 두께 금 박막의 기계적 특성 평가)

  • Kim, J.H.;Lee, H.J.;Han, S.W.;Baek, C.W.;Kim, J.M.;Kim, Y.K.
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.252-257
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    • 2004
  • Nanometer-sized structures are being applied to many devices including micro/nano electronics, optoelectronics, quantum devices, MEMS/NEMS, biosensors, etc. Especially, the thin film with submicron thickness is a basic structure for fabricating these devices, but its mechanical behaviors are not well understood. The mechanical properties of the thin film are different from those of the bulk structure and are difficult to measure because of its handling inconvenience. Several techniques have been applied to mechanical characterization of the thin film, such as nanoindentation test, micro/nano tensile test, strip bending test, etc. In this study, we focus on the strip bending test because of its high accuracy and moderate specimen preparation efforts, and measure Au thin film, which is a very popular material in micro/nano electronic devices. Au film is deposited on Si substrate by evaporation process, of which thickness is 100nm. Using the strip bending test, we obtain elastic modulus, yield and ultimate tensile strength, and residual stress of Au thin film.

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Elastic Properties and Repeated Deformation Reliabilities of Stiffness-Gradient Stretchable Electronic Packages (강성도 경사형 신축 전자패키지의 탄성특성 및 반복변형 신뢰성)

  • Han, Kee Sun;Oh, Tae Sung
    • Journal of the Microelectronics and Packaging Society
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    • v.26 no.4
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    • pp.55-62
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    • 2019
  • Stiffness-gradient stretchable electronic packages of the soft PDMS/hard PDMS/FPCB structure were processed using the polydimethylsiloxane (PDMS) as the base substrate and the more stiff flexible printed circuit board (FPCB) as the island substrate. The elastic characteristics of the stretchable packages were estimated and their long-term reliabilities on stretching cycles and bending cycles were characterized. With 0.28 MPa, 1.74 MPa, and 1.85 GPa as the elastic moduli of the soft PDMS, hard PDMS, and FPCB, respectively, the effective elastic modulus of the soft PDMS/hard PDMS/FPCB package was estimated as 0.6 MPa. The resistance of the stretchable packages varied for 2.8~4.3% with stretching cycles ranging at 0~0.3 strain up to 15,000 cycles and for 0.9~1.5% with 15,000 bending cycles at a bending radius of 25 mm.

Simulation of Stable Cloth on Triangular Mesh via LOD-Based Bending Springs on Strain-Based Dynamics

  • Jong-Hyun Kim
    • Journal of the Korea Society of Computer and Information
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    • v.28 no.9
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    • pp.73-79
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    • 2023
  • This paper describes a level of detail (LOD) based bending spring structure and damping technique that can reliably represent strain-based dynamics (SBD) on a triangular mesh. SBD models elastic energy using strain instead of energy based on the edge length of a triangular mesh. However, when a large external force occurs, the process of calculating the elastic energy based on edges results in a degenerate triangle, which stretches in the wrong direction because it calculates an unstable strain. In this paper, we introduce an LOD-based bending spring generation and energy calculation method that can efficiently handle this problem. As a result, the technique proposed in this paper can reliably and efficiently handle SBD based on bending springs, which can provide a stable representation of cloth simulation.

The Influence of Encapsulation Layer Incorporated into Flexible Substrates for Bending Stress (Flexible 기판의 Bending Stress에 대한 Encapsulation Layer의 영향)

  • Park, Jun-Baek;Seo, Dae-Shik;Lee, Sang-Keuk;Lee, Joon-Ung;Kim, Yong-Hoon;Moon, Dae-Gyu;Han, Jeong-In
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2003.11a
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    • pp.473-476
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    • 2003
  • This paper shows necessity of encapsulation layer to maximite flexibility of brittle indium-tin-oxide (ITO) on polymer substrates. And, Young's modulus (E) of encapsulation layer have an significant effect on external bending stress and the coefficient of thermal expansion (CTE) of that have a significant effect on internal thermal stress. To compare magnitude of total mechanical stress including both bending stress and thermal stress, the mechanical stress of triple-layer structure (substrate / ITO / encapsulation layer or substrate / buffer layer / ITO) can be quantified and numerically analyzed through the farthest cracked island position. As a result, it should be noted that multi-layer structures with more elastic encapsulation material have small mechanical stress compared to that of buffer and encapsulation structure of large Young's modulus material when they were externally bent.

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Simulation of Valveless Pump Using Pumping Chamber Connected to Elastic Tube (탄성 튜브가 연결된 펌핑 챔버를 이용한 무밸브 펌프의 수치해석)

  • Shin, Soo Jai;Chang, Cheong Bong;Sung, Hyung Jin
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.37 no.2
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    • pp.111-117
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    • 2013
  • A valveless pump consisting of a pumping chamber with an elastic tube was simulated using an immersed boundary method. The interaction between the motion of the elastic tube and the pumping chamber generated a net flow toward the outlet through a full cycle of the pump. The net flow rate of the valveless pump was examined by varying the stretching coefficient, bending coefficient, and aspect ratio of the elastic tube. Photographs of the fluid velocity vectors and the wave motions of the elastic tube were examined over one cycle of the pump to gain a better understanding of the mechanism underlying the valveless pump. The relationship between the gap in the elastic tube and the average flow rate of the pump was analyzed.

Stress Analysis for U-bolt Atructure by Pipe Supporting Condition (배관 지지 조건에 따른 U-bolt 구조의 응력 해석)

  • 김상일;강중규
    • Journal of the Society of Naval Architects of Korea
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    • v.40 no.2
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    • pp.63-68
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    • 2003
  • With the trend of large-sized ship in Korea, recently several hundreds of thousands of U-bolts for a year have been used as a pipe fastener In this paper, we have evaluated the strength for present U-bolt structure by pipe supporting conditions(deck, ceiling and wall mounting type) For this purpose, the equivalent and bending stresses have been calculated by linear elastic analysis using the finite element program ABAQUS. At the same time, a variety of load conditions such as design pressure, weight effect and acceleration are also considered.

A study on prediction of whipping effect of very large container ship considering multiple sea states

  • Kim, Beomil;Choung, Joonmo
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.12 no.1
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    • pp.387-398
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    • 2020
  • In the design stage of the very large container ships, some methodologies for the whipping effects have been developed, but most of them are based on single sea state. We developed a methodology that considers multiple sea states. Fluid-structure Interaction (FSI) analyses with one dimensional structural model were carried out to capture slamming-induced transient whipping behaviors. Because of the nature of random phases of the applied wave spectra, the required period for entire FSI analyses was determined from the convergence study where the whipping effect became stable. Low pass filtering was applied to the transient whipping responses to obtain the hull girder bending moment processes. Peak counting method for the filtered whipping responses was used to obtain collection of the vertical bending moment peaks. The whipping effect from this new method is compared with that from based on single sea state approach. The efficiency and advantage of the new methodology are presented.

Combined influence of porosity and elastic foundation parameters on the bending behavior of advanced sandwich structures

  • Malek Hadji;Abdelhakim Bouhadra;Belgacem Mamen;Abderahmane Menasria;Abdelmoumen Anis Bousahla;Fouad Bourada;Mohamed Bourada;Kouider Halim Benrahou;Abdelouahed Tounsi
    • Steel and Composite Structures
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    • v.46 no.1
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    • pp.1-13
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    • 2023
  • Elastic bending of imperfect functionally graded sandwich plates (FGSPs) laying on the Winkler-Pasternak foundation and subjected to sinusoidal loads is analyzed. The analyses have been established using the quasi-3D sinusoidal shear deformation model. In this theory, the number of unknowns is condensed to only five unknowns using integral-undefined terms without requiring any correction shear factor. Moreover, the current constituent material properties of the middle layer is considered homogeneous and isotropic. But those of the top and bottom face sheets of the graded porous sandwich plate (FGSP) are supposed to vary regularly and continuously in the direction of thickness according to the trigonometric volume fraction's model. The corresponding equilibrium equations of FGSPs with simply supported edges are derived via the static version of the Hamilton's principle. The differential equations of the system are resolved via Navier's method for various schemes of FGSPs. The current study examine the impact of the material index, porosity, side-to-thickness ratio, aspect ratio, and the Winkler-Pasternak foundation on the displacements, axial and shear stresses of the sandwich structure.