• 한국강구조학회 논문집
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• 제9권1호통권30호
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• pp.37-49
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• 1997

The buckling behavior of the web of steel girders are largely dependent on the size and the location of stiffeners and the restraining effect of top and bottom flanges. Elastic and inelastic buckling analyses based or the Spline Finite Strip Method were executed to study the stiffening effect of the longitudinal stiffener on the web of box girders and to find how the top and bottom flanges had effects on the web, where geometric boundary conditions were limited by both hinged, both fixed and the flange sections. The basic assumption for the longitudinal end boundary conditions was that the vertical stiffeners had the rigidity enough to force nil deflection line on the web panel so that the junction line between web and vertical stiffener was assumed to be hinged boundary conditions. The provisions on the longitudinal stiffener of the plate and box girders of the Korean Standard Highway Bridge Specifications(1995) and AASHTO Specifications(1994 LRFD) were compared with the results obtained numerically for the various longitudinal stiffener size of box girders. Simple equations and design curves for the longitudinal stiffener of the web were proposed for the practical use.

• Structural Engineering and Mechanics
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• 제57권4호
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• pp.617-639
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• 2016

In this work, an analytical formulation based on both hyperbolic shear deformation theory and stress function, is presented to study the nonlinear post-buckling response of symmetric functionally graded plates supported by elastic foundations and subjected to in-plane compressive, thermal and thermo-mechanical loads. Elastic properties of material are based on sigmoid power law and varying across the thickness of the plate (S-FGM). In the present formulation, Von Karman nonlinearity and initial geometrical imperfection of plate are also taken into account. By utilizing Galerkin procedure, closed-form expressions of buckling loads and post-buckling equilibrium paths for simply supported plates are obtained. The effects of different parameters such as material and geometrical characteristics, temperature, boundary conditions, foundation stiffness and imperfection on the mechanical and thermal buckling and post-buckling loading capacity of the S-FGM plates are investigated.

• Smart Structures and Systems
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• 제15권5호
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• pp.1233-1252
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• 2015

This study investigates the problem of crack detection in post-buckled beam-type structures. The beam under the axial compressive force has a crack, assumed to be open and through the width. The crack, which is modeled by a massless rotational spring, divides the beam into two segments. The crack detection is considered as an optimization problem, and the weighted sum of the squared errors between the measured and computed natural frequencies is minimized by the bees algorithm. To find the natural frequencies, the governing nonlinear equations of motion for the post-buckled state are first derived. The solution of the nonlinear differential equations of the two segments consists of static and dynamic parts. The differential quadrature method along with an arc length strategy is used to solve the static part, while the same method is utilized for the solution of the linearized dynamic part and the extraction of the natural frequencies of the cracked beam. The investigation includes several numerical as well as experimental case studies on the post-buckled simply supported and clamped-clamped beams having open cracks. The results show that several parameters such as the amount of applied compressive force and boundary conditions influences the outcome of the crack detection scheme. The identification results also show that the crack position and depth can be predicted well by the presented method.

• Structural Engineering and Mechanics
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• 제35권5호
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• pp.555-570
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• 2010

Shallow fixed arches have a nonlinear primary equilibrium path with limit points and an unstable postbuckling equilibrium path, and they may also have bifurcation points at which equilibrium bifurcates from the nonlinear primary path to an unstable secondary equilibrium path. When a shallow fixed arch is subjected to a central step load, the load imparts kinetic energy to the arch and causes the arch to oscillate. When the load is sufficiently large, the oscillation of the arch may reach its unstable equilibrium path and the arch experiences an escaping-motion type of dynamic buckling. Nonlinear dynamic buckling of a two degree-of-freedom arch model is used to establish energy criteria for dynamic buckling of the conservative systems that have unstable primary and/or secondary equilibrium paths and then the energy criteria are applied to the dynamic buckling analysis of shallow fixed arches. The energy approach allows the dynamic buckling load to be determined without needing to solve the equations of motion.

• Earthquakes and Structures
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• 제26권4호
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• pp.251-259
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• 2024

In this paper, the thermal post-buckling behavior of graphene platelets reinforced metal foams (GPLRMFs) plate with initial geometric imperfections on nonlinear elastic foundations are studied. First, the governing equation is derived based on the first-order shear deformation theory (FSDT) of plate. To obtain a single equation that only contains deflection, the Galerkin principle is employed to solve the governing equation. Subsequently, a comparative analysis was conducted with existing literature, thereby verifying the correctness and reliability of this paper. Finally, considering three GPLs distribution types (GPL-A, GPL-B, and GPL-C) of plates, the effects of initial geometric imperfections, foam distribution types, foam coefficients, GPLs weight fraction, temperature changes, and elastic foundation stiffness on the thermal post-buckling characteristics of the plates were investigated. The results show that the GPL-A distribution pattern exhibits the best buckling resistance. And with the foam coefficient (GPLs weight fraction, elastic foundation stiffness) increases, the deflection change of the plate under thermal load becomes smaller. On the contrary, when the initial geometric imperfection (temperature change) increases, the thermal buckling deflection increases. According to the current research situation, the results of this article can play an important role in the thermal stability analysis of GPLRMFs plates.

• Advances in aircraft and spacecraft science
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• 제11권1호
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• pp.55-81
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• 2024

This paper presents the exact solutions and closed forms for of nonlinear stability and vibration behaviors of straight and curved beams with nonlinear viscoelastic boundary conditions, for the first time. The mathematical formulations of the beam are expressed based on Euler-Bernoulli beam theory with the von Karman nonlinearity to include the mid-plane stretching. The classical boundary conditions are replaced by nonlinear viscoelastic boundary conditions on both sides, that are presented by three elements (i.e., linear spring, nonlinear spring, and nonlinear damper). The nonlinear integro-differential equation of buckling problem subjected to nonlinear nonhomogeneous boundary conditions is derived and exactly solved to compute nonlinear static response and critical buckling load. The vibration problem is converted to nonlinear eigenvalue problem and solved analytically to calculate the natural frequencies and to predict the corresponding mode shapes. Parametric studies are carried out to depict the effects of nonlinear boundary conditions and amplitude of initial curvature on nonlinear static response and vibration behaviors of curved beam. Numerical results show that the nonlinear boundary conditions have significant effects on the critical buckling load, nonlinear buckling response and natural frequencies of the curved beam. The proposed model can be exploited in analysis of macrosystem (airfoil, flappers and wings) and microsystem (MEMS, nanosensor and nanoactuators).

• 대한토목학회논문집
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• 제11권4호
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• pp.17-26
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• 1991

이 논문(論文)은 단순지지(單純支持) 변단면(變斷面) 기둥의 임계하중(臨界荷重) 및 후좌굴(後挫屈) 거동(擧動)에 관한 연구(硏究)이다. 이 논문(論文)에서는 변단면(變斷面)을 갖는 후좌굴(後挫屈) 기둥의 정확탄성곡선(正確彈性曲線)을 지배(支配)하는 미분방정식(微分方程式)을 3차이론(次理論)에 의(依)하여 유도(誘導)하고, 이 미분방정식(微分方程式)을 Runge-Kutta method와 Regula-Falsi method를 이용하여 임계하중(臨界荷重)과 후좌굴(後挫屈) 기둥의 정확탄성곡선(正確彈性曲線)을 산출(算出)하였다. 실제(實際)의 수치해석(數値解析) 예(例)에서는 변화(變化)높이 구형단면(矩形斷面), 변화폭(變化幅) 구형단면(矩形斷面), 정방형단면(正方形斷面)/원형단면(圓形斷面)의 3가지 단면형상(斷面形狀)에 대하여 수치해석(數値解析)하였다. 수치해석(數値解析)의 결과(結果)로, 하중(荷重)-처짐의 평형경로(平衡經路), 후좌굴(後挫屈) 기둥의 정확탄성곡선(正確彈性曲線), 임계하중(臨界荷重)-단면화(斷面化) 사이의 관계(關係)를 그림에 나타내었다. 또한 단면형상계수(斷面形狀係數)가 임계하중(臨界荷重)과 후좌굴(後挫屈) 거동(擧動)에 미치는 영향(影響)을 분석(分析)하였다.

• 한국강구조학회 논문집
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• 제21권5호
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• pp.537-544
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• 2009

AISC(2005)나 KBC(2005)등의 기준에서는 콘크리트 충전 강관(Concrete Filled Steel Tube) 기둥의 내력산정에서 폭두께비의 제한을 두고 있으며 최대 폭두께비를 초과하는 기둥에 대해서는 설계식을 제시하지 않고 있다. 본 연구는 stiffened (양단지지) 플레이트에서는 좌굴이 발생하더라도 바로 내력저하가 발생하지 않고 상당한 양의 좌굴 후 강도를 발휘할 수 있어 폭두께비가 큰 강관을 사용하는 것이 경제적일 수 있다는 점을 착안, 유효폭 개념을 도입해서 폭두께비가 큰 각형 CFT의 강도를 계산할 수 있는 설계식을 제안하였다. AISC 2005, KBC 2005와 본 연구에서 제안한 식을, 폭두께비를 변수로 수행한 4개의 각형 CFT 기둥 실험결과와 비교하였며 제안된 설계식의 적용가능성을 확인하였다. 이에 Uy(2005), Dalin Liu(2005)는 폭두께비가 큰 단주 CFT에 한에서 선행 연구된 실험데이타를 근거로 제안 설계식을 단순적용 하였다. 폭두께비가 초과된 각형CFT 단주를 검토 대상기본으로 1. 용접 조립된 정사각형 단면 2. 모살용접된 정사각형 단면 (b/t 60mm. 80mm, 100mm) 3. 한 폭면의 폭두께비가 초과하는 직사각형단면의 (b/t 45.5) 실험체를 선정하여 제안식의 타당성을 검토해 보고자 한다.

• 한국군사과학기술학회지
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• 제23권6호
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• pp.533-541
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• 2020

This study using ABAQUS investigates the nonlinear vibration responses when thermal and random acoustic loads are applied simultaneously to the stiffened composite panels. The nonlinear vibration analyses are performed with changing the number of stiffeners, and layup condition of the skin panel. The panel and stiffeners both are modeled using shell elements. Thermal load (ΔT) is assumed to have the temperature gradient through the thickness direction of the stiffened composite panel. The random acoustic load is represented as stationary white-Gaussian random pressure with zero mean and uniform magnitude over the panels. The thermal postbuckling analysis is conducted using RIKS method, and the nonlinear dynamic analysis is performed using Hilber-HughesTaylor time integration method. When ΔT = 25.18 ℃ and SPL = 105 dB are applied to the stiffened composite panel, the effect of the number of stiffener is investigated, and the snap-through responses are observed for composite panels without stiffeners and with 1 and 3 stiffeners. For investigation of the effect of layup condition of the skin panel, when ΔT = 38.53 ℃ and SPL = 110 dB are applied to the stiffened composite panel, the snap-through responses are shown when the fiber angle of the skin panel is 0°, 30°, and 60°.

• 한국공간구조학회:학술대회논문집
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• 한국공간구조학회 2008년도 춘계 학술발표회 논문집
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• pp.107-112
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• 2008

본 연구에서는 이산계열 대공간구조물의 크기최적화에 따른 후 좌굴거동의 변화에 대하여 조사하고 그 결과를 기술하였다. 본 연구에서는 35개의 부재를 가지는 얕은 아치형 2차원 공간트러스 구조물을 이용하여 연구를 수행하였다. 먼저 트러스의 최적의 부재 크기 패턴을 조사하기 위하여 수학적 프로그래밍 기법을 도입하였다. 이때 최소화해야하는 트러스의 전체 부재의 중량을 목적함수로 이용하고 하중이 가해지는 절점에서 발생하는 변위 값과 각 부재에서 발생하는 응력 값을 허용치 이하로 제한하는 제약조건으로 사용하였다. 크기최적화에서 도출된 트러스 구조물의 후좌굴 거동은 통합 비선형해석기법을 이용하여 조사 분석하였다. 본 연구에서 제시한 결과는 이산계열 대공간구조물의 설계에 기본 데이터로 유용하게 사용될 것으로 판단된다.