• Title/Summary/Keyword: bending and buckling

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Vibration Analysis of Rotating Cantilever Beams with an Elastically Restrained Root (탄성지지단을 갖는 회전하는 외팔 보의 진동해석)

  • Yun, Kyung-Jae;Yoo, Hong-Hee
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.689-694
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    • 2000
  • This paper presents a modeling method for the vibration analysis of cantilever beams with an elastically restrained root. Mass and stiffness matrices are derived explicitly by considering the elastically restrained root coupling effect between stretching and bending motion. Numerical results show that the two effects influence the vibration characteristics of rotating beams significantly. The results also present the magnitude of the elastic stiffness of the root to avoid the dynamic buckling. The method presented in this paper can be used to provide accurate predictions of the variations of natural frequencies of rotating beams with an elastically restrained root.

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Seismic Performance of High-Strength Concrete Columns

  • Hwang Sun-Kyoung;Yun Hyun-Do;Han Byung-Chan;Park Wan-Shin;Kim Sun-Woo;Han Min-Ki
    • Proceedings of the Korea Concrete Institute Conference
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    • 2004.11a
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    • pp.41-44
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    • 2004
  • This experimental investigation was conducted to examine the behaviour of eight one-third scale columns made of high-strength concrete (HSC). The columns were subjected to a constant axial load corresponding to 30 per cent of the column axial load capacity and a cyclic horizontal load-inducing reversed bending moment. The variables studied in this research are the volumetric ratio of transverse reinforcement, tie configuration and tie yield strength. Columns with 42 per cent higher amounts of transverse reinforcement than that required by seismic provisions of ACI 318-02 showed ductile behaviour. Relationships between the calculated damage index and the observed damage such as initial crack, spalling of concrete, buckling of longitudinal bar, and crushing of concrete are propose.

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A study on the material mechanical properties and the flexural wrinkling of foam-filled sandwich beams (포옴심재를 갖는 샌드위치 보의 재료 기계적 성질 및 굽힘 국소좌굴에 관한 연구)

  • Han, Dong Ju;Hong, Chang Seon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.31 no.5
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    • pp.44-54
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    • 2003
  • The experiments are performed to evaluate mechanical properties about foam and face materials of sandwich beams. These results are applied to the flexural wrinkling estimation of sandwich beam. The 3 point bending test shows that it is reasonable to include pre-buckling behavior in flexural wrinkling analysis, which is closer to experimental result. It is also conducted to survey the wrinkling behavior.

Minimum Thickness of FRP Member Applicable to FRP-Concrete Composite Deck (FRP-콘크리트 합성 바닥판에 적용 가능한 FRP 부재의 최소 두께)

  • Cho, Keun-Hee;Park, Sung-Yong;Kim, Sung-Tae;Cho, Jeong-Rae;Kim, Byung-Suk
    • Proceedings of the Korea Concrete Institute Conference
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    • 2006.11a
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    • pp.317-320
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    • 2006
  • In order to determine a minimum thickness of the pultruded GFRP panel as a structural member, some experimental studies were performed. GFRP tubes with 2mm, 4mm, 6mm thickness were manufactured by pultrusion process. First, coupon tests for finding mechanical properties were carried out. Comparisons between test results and analysis results based on classical laminate theory showed large differences in case of 2mm, 4mm specimens. The reason is that it is difficult to apply appropriate pultruding force and keep layered stitched fabric flat for the pultrusion process of complex shaped FRP member with small thickness. On the consequence, we decide 6mm as a minimum thickness of FRP member. Second, 4-point bending tests were performed and the results with compared with numerical analysis. The behavior of FRP tube can be exactly predicted by numerical analysis if buckling analysis is included.

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Experimental Study on Flexural Structural Performance of Sinusoidal Corrugated Girder (파형 웨브주름 보의 휨성능에 관한 실험적 연구)

  • Kim, Jong Sung;Chae, Il Soo
    • Journal of Korean Society of Steel Construction
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    • v.27 no.6
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    • pp.503-511
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    • 2015
  • In long span steel structure, the plate girder reinforced with stiffeners are commonly used. When choosing the cross section with deep depth of girder as well as narrow width, however, out of plane buckling can be a problem due to web slenderness. In an effort to solve this issue, current study determined the applicability of using corrugated web girder with deep depth as bending member, which is generally being utilized in both factory and warehouse nationwide. To accomplish this, we performed the loading test of H-shaped beam with sinusoidal corrugated web. Corrugated web CP-2.3 specimen exhibited 12% less maximal bending strength but CP-3.2 specimen exerted 24% increase in strength compared to plate web P-4.5. this result indicates that corrugated web provides enough strength even with unfavorable width-thickness ratio of plate. And bending as well as shear strength estimated by the Eurocode (EN 1993-1-5) were compared with both bending strength by loading test and shear strength estimated by KBC2009. In case of eurocode, increase in plate thickness did not help in bending performance improvement. moreover, shear performance was sensitive to the thickness of the web folds and the shape of the web plate.

An Experimental Study on the Behavior of Aluminum-Honeycomb Sandwich Panels (알루미늄하니콤 샌드위치판의 거동에 관한 실험적 연구)

  • Lee, Yong W.;Chun, Min S.;Paik, Jeom K.
    • Journal of the Society of Naval Architects of Korea
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    • v.33 no.4
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    • pp.106-123
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    • 1996
  • This paper experimentally investigates the characteristics of Al-honeycomb sandwich panels which are considered as a promising primary strength member of weight critical large structures. Some tests on the aluminum honeycomb panels subject to 3-point bending or uniaxial compression or crushing load are carried out. Based on the test results, linear elastic response, buckling/ultimate strength and crushing/energy absorption capacity are discussed. Some guidelines for design of aluminum honeycomb panels are given.

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Two-dimensional curved panel vibration and flutter analysis in the frequency and time domain under thermal and in-plane load

  • Moosazadeh, Hamid;Mohammadi, Mohammad M.
    • Advances in aircraft and spacecraft science
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    • v.8 no.4
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    • pp.345-372
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    • 2021
  • The analysis of nonlinear vibrations, buckling, post-buckling, flutter boundary determination and post-flutter behavior of a homogeneous curved plate assuming cylindrical bending is conducted in this article. Other assumptions include simply-supported boundary conditions, supersonic aerodynamic flow at the top of the plate, constant pressure conditions below the plate, non-viscous flow model (using first- and third-order piston theory), nonlinear structural model with large deformations, and application of mechanical and thermal loads on the curved plate. The analysis is performed with constant environmental indicators (flow density, heat, Reynolds number and Mach number). The material properties (i.e., coefficient of thermal expansion and modulus of elasticity) are temperature-dependent. The equations are derived using the principle of virtual displacement. Furthermore, based on the definitions of virtual work, the potential and kinetic energy of the final relations in the integral form, and the governing nonlinear differential equations are obtained after fractional integration. This problem is solved using two approaches. The frequency analysis and flutter are studied in the first approach by transferring the handle of ordinary differential equations to the state space, calculating the system Jacobin matrix and analyzing the eigenvalue to determine the instability conditions. The second approach discusses the nonlinear frequency analysis and nonlinear flutter using the semi-analytical solution of governing differential equations based on the weighted residual method. The partial differential equations are converted to ordinary differential equations, after which they are solved based on the Runge-Kutta fourth- and fifth-order methods. The comparison between the results of frequency and flutter analysis of curved plate is linearly and nonlinearly performed for the first time. The results show that the plate curvature has a profound impact on the instability boundary of the plate under supersonic aerodynamic loading. The flutter boundary decreases with growing thermal load and increases with growing curvature.

Stability Analysis of Shear-Flexible and Semi-Rigid Plane Frames (전단변형효과를 고려한 부분강절 평면뼈대구조의 안정성 해석)

  • Min, Byoung Cheol;Min, Dong Ju;Jung, Myung Rag;Kim, Moon Young
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.31 no.1A
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    • pp.9-18
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    • 2011
  • Generally the connection of structural members is assumed as hinge, rigid and semi-rigid connections. The exact tangent stiffness matrix of a semi-rigid frame element is newly derived using the stability functions considering shear deformations. Also, linearized elastic- and geometric-stiffness matrices of shear deformable semi-rigid frame are newly proposed. For the exact stiffness matrix, an accurate displacement field is introduced by equilibrium equation for beam-column under the bending and the axial forces. Also, stability functions considering sway deformation and force-displacement relations with elastic rotational spring on ends are defined. In order to illustrate the accuracy of this study, various numerical examples are presented and compared with other researcher's results. Lastly, shear deformation and semi-rigid effects on buckling behaviors of structure are parametrically investigated.

Numerical Analysis of Inelastic Lateral Torsional Buckling Strength of HSB800 Steel Plate Girders with Doubly Symmetric Section (이축대칭단면 HSB800 강재 플레이트거더의 비탄성 횡비틂좌굴강도의 해석적 평가)

  • Park, Yong Myung;Lee, Kun Joon;Choi, Byung Ho;Hwang, Min O
    • Journal of Korean Society of Steel Construction
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    • v.25 no.2
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    • pp.141-151
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    • 2013
  • In this paper, lateral-torsional buckling(LTB) strength of HSB800 steel plate girder under uniform bending moment was estimated by the nonlinear analysis. Doubly symmetric sections with slender, noncompact and compact webs were considered and the LTB strength in the inelastic range was estimated by taking initial imperfection and residual stress into account. For the numerical analysis, single-panel model and three-panel model were considered and analysis of SM490 steel plate girder was performed to judge the validity of the constructed models by comparing the results with AASHTO, AISC, Eurocode and KHBDC(LSD) codes. By using the same models, LTB strength of HSB800 girder was evaluated and it was acknowledged that the current codes can be applied to HSB800 girders with doubly symmetric section in the inelastic LTB range.

Thermal stability analysis of solar functionally graded plates on elastic foundation using an efficient hyperbolic shear deformation theory

  • El-Hassar, Sidi Mohamed;Benyoucef, Samir;Heireche, Houari;Tounsi, Abdelouahed
    • Geomechanics and Engineering
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    • v.10 no.3
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    • pp.357-386
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    • 2016
  • In this research work, an exact analytical solution for thermal stability of solar functionally graded rectangular plates subjected to uniform, linear and non-linear temperature rises across the thickness direction is developed. It is assumed that the plate rests on two-parameter elastic foundation and its material properties vary through the thickness of the plate as a power function. The neutral surface position for such plate is determined, and the efficient hyperbolic plate theory based on exact neutral surface position is employed to derive the governing stability equations. The displacement field is chosen based on assumptions that the in-plane and transverse displacements consist of bending and shear components, and the shear components of in-plane displacements give rise to the quadratic distribution of transverse shear stress through the thickness in such a way that shear stresses vanish on the plate surfaces. Therefore, there is no need to use shear correction factor. Just four unknown displacement functions are used in the present theory against five unknown displacement functions used in the corresponding ones. The non-linear strain-displacement relations are also taken into consideration. The influences of many plate parameters on buckling temperature difference will be investigated. Numerical results are presented for the present theory, demonstrating its importance and accuracy in comparison to other theories.