• Coupled systems mechanics
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• 제10권1호
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• pp.79-102
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• 2021

In this paper we deal with instability problems of structures under nonconservative loading. It is shown that such class of problems should be analyzed in dynamics framework. Next to analytic solutions, provided for several simple problems, we show how to obtain the numerical solutions to more complex problems in efficient manner by using the finite element method. In particular, the numerical solution is obtained by using a modified Euler-Bernoulli beam finite element that includes the von Karman (virtual) strain in order to capture linearized instabilities (or Euler buckling). We next generalize the numerical solution to instability problems that include shear deformation by using the Timoshenko beam finite element. The proposed numerical beam models are validated against the corresponding analytic solutions.

• 한국기계가공학회지
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• 제21권4호
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• pp.77-83
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• 2022

Amorphous alloys exhibit excellent mechanical properties; therefore, application technology development is being attempted in various fields. However, industrial use of application technology is limited owing to the limitations in fabrication. In this study, micropattern fabrication of an amorphous alloy was conducted using laser beam machining. Although microhole fabrication is possible without the deformation of the amorphous phase through nanosecond pulsed laser beam machining, there are limitations in the generation of recast layers and spatters. In cover plate laser beam machining (c-LBM), a cover plate is used to reduce the thermal deformation and processing area. Therefore, it is possible to fabricate holes at the level of several micrometers. In this study, it was confirmed that recast layers are hardly generated in c-LBM. Furthermore, square-shaped micropatterns were successfully fabricated using c-LBM.

• 한국전산구조공학회논문집
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• 제25권3호
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• pp.185-194
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• 2012

이 연구는 회전관성과 전단변형을 동시에 고려한 변단면 Timoshenko 보의 자유진동에 관한 연구이다. 변단면 보의 단면은 폭이 포물선 함수로 변화하는 변화폭 직사각형 단면으로 채택하였다. 이러한 보의 자유진동을 지배하는 수직변위에 대한 4계 상미분방정식을 유도하였다. 이 상미분방정식을 수치해석하여 고유진동수와 진동형을 산출하였다. 수치해석 예에서는 회전-회전, 회전-고정, 고정-고정 지점을 고려하였다. 진동형은 변위의 진동형뿐만 아니라 합응력의 진동형도 산출하여 그림에 나타내었다. 휨 회전각과 전단변형에 의한 수직변위 및 전단면 회전각의 구성비율을 산정하였다.

• Smart Structures and Systems
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• 제20권3호
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• pp.369-383
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• 2017

In this work, the effects of moisture and temperature on free vibration characteristics of functionally graded (FG) nanobeams resting on elastic foundation is studied by proposing a novel simple trigonometric shear deformation theory. The main advantage of this theory is that, in addition to including the shear deformation influence, the displacement field is modeled with only 2 unknowns as the case of the classical beam theory (CBT) and which is even less than the Timoshenko beam theory (TBT). Three types of environmental condition namely uniform, linear, and sinusoidal hygrothermal loading are studied. Material properties of FG beams are assumed to vary according to a power law distribution of the volume fraction of the constituents. Equations of motion are derived from Hamilton's principle. Numerical examples are presented to show the validity and accuracy of present shear deformation theories. The effects of hygro-thermal environments, power law index, nonlocality and elastic foundation on the free vibration responses of FG beams under hygro-thermal effect are investigated.

• Steel and Composite Structures
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• 제28권2호
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• pp.195-207
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• 2018

First-order reliability method (FORM) is enhanced based on the search direction using relaxed conjugate reliability (RCR) approach for the embedded nanocomposite beam under buckling failure mode. The RCR method is formulated using discrete conjugate map with a limited scalar factor. A dynamical relaxed factor is proposed to control instability of proposed RCR, which is adjusted using sufficient descent condition. The characteristic of equivalent materials for nanocomposite beam are obtained by micro-electro-mechanical model. The probabilistic model of nanocomposite beam is simulated using the sinusoidal shear deformation theory (SSDT). The beam is subjected to external applied voltage in thickness direction and the surrounding elastic medium is modeled by Pasternak foundation. The governing equations are derived in terms of energy method and Hamilton's principal. Using exact solution, the implicit buckling limit state function of nanocomposite beam is proposed, which is involved various random variables including thickness of beam, length of beam, spring constant of foundation, shear constant of foundation, applied voltage, and volume fraction of ZnO nanoparticles in polymer. The robustness, accuracy and efficiency of proposed RCR method are evaluated for this engineering structural reliability problem. The results demonstrate that proposed RCR method is more accurate and robust than the excising reliability methods-based FORM. The volume fraction of ZnO nanoparticles and the applied voltage are the sensitive variables on the reliable levels of the nanocomposite beams.

• 한국콘크리트학회:학술대회논문집
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• 한국콘크리트학회 2008년도 추계 학술발표회 제20권2호
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• pp.301-304
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• 2008

본 연구에서는 싱글 플레이트 전단접합에 앵글을 접합한 새로운 방식의 철골 커플링보를 개발하여 여러 가지 구조적 성능을 평가하고자 한다. 주요 변수는 앵글유무, 콘크리트 보강 유무, 매립길이, 결손단면이다. 실험은 커플링 보의 가운데 지점을 2,000kN Actuator를 이용하여 횡방향 반복가력을 가하여 구조물의 전체적인 거동을 알아본다. 실험결과 싱글 플레이트 전단 접합부로 이루어진 실험체보다 앵글을 접합한 실험체가 강도, 변형능력, 강성, 에너지 소산 능력 등 전반적인 구조적 성능이 훨씬 우수한 것으로 나타났다. 매립된 철골보 주위에 전단철근을 보강하지 않은 경우 PC벽체의 조기 지압파괴로 인해 그 성능이 현저히 떨어지는 것으로 나타났다. 그러나 전단철근이 배근이 된 경우 철골 커플링 보의 전단 항복이 발생할 때까지 PC벽체의 파괴가 충분히 지연되는 것으로 나타났다. 앵글이 접합된 경우 매립길이가 작아도 그 성능이 떨어지지 않았다. 결손 단면이 있을 경우 강도는 작게 나타났으나 접합부 전단 강도보다 훨씬 작도록 설계된 관계로 PC벽체의 파괴가 발생하기 전에 충분히 전단 거동을 통해 우수한 성능을 발휘하였다. 이러한 결과는 시공성과 경제성 향상을 위해 앵글을 접합한 철골 커플링 보 방식이 매우 유용할 것으로 사료된다.

• Structural Engineering and Mechanics
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• 제54권6호
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• pp.1061-1073
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• 2015

This paper presents a nonlocal sinusoidal shear deformation beam theory (SDBT) for the nonlinear vibration of single walled carbon nanotubes (CNTs). The present model is capable of capturing both small scale effect and transverse shear deformation effects of CNTs, and does not require shear correction factors. The surrounding elastic medium is simulated based on Pasternak foundation. Based on the nonlocal differential constitutive relations of Eringen, the equations of motion of the CNTs are derived using Hamilton's principle. Differential quadrature method (DQM) for the natural frequency is presented for different boundary conditions, and the obtained results are compared with those predicted by the nonlocal Timoshenko beam theory (TBT). The effects of nonlocal parameter, boundary condition, aspect ratio on the frequency of CNTs are considered. The comparison firmly establishes that the present beam theory can accurately predict the vibration responses of CNTs.

• Steel and Composite Structures
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• 제18권3호
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• pp.793-809
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• 2015

In this scientific work, constructing of a novel shear deformation beam model including the stretching effect is of concern for flexural and free vibration responses of functionally graded beams. The particularity of this model is that, in addition to considering the transverse shear deformation and the stretching effect, the zero transverse shear stress condition on the beam surface is assured without introducing the shear correction parameter. By employing the Hamilton's principle together with the concept of the neutral axe's position for such beams, the equations of motion are obtained. Some examples are performed to demonstrate the effects of changing gradients, thickness stretching, and thickness to length ratios on the bending and vibration of functionally graded beams.

• Structural Engineering and Mechanics
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• 제10권6호
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• pp.589-601
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• 2000

A simplified analysis procedure utilizing the strut-tie modeling technique is developed to take a close look into the post-elastic deformation capacity of beam-column connections in ductile reinforced concrete frame structures. Particular emphasis is given to the effect of concrete strength decay and quantity and arrangement of joint shear steel. For this a fan-shaped crack pattern is postulated through the joints. A series of hypothetical rigid nodes are assumed through which struts, ties and boundaries are connected to each other. The equilibrium consideration enables all forces in struts, ties and boundaries to be related through the nodes. The boundary condition surrounding the joints is obtained by the mechanism analysis of the frame structures. In order to avoid a complexity from the indeterminacy of the truss model, it is assumed that all shear steel yielded. It is noted from the previous research that the capacity of struts is limited by the principal tensile strain of the joint panel for which the strain of the transverse diagonal is taken. The post-yield deformation of joint steel is taken to be the only source of the joint shear deformation beyond the elastic range. Both deformations are related by the energy consideration. The analysis is then performed by iteration for a given shear strain. The analysis results indicate that concentrating most of the joint steel near the center of the joint along with higher strength concrete may enhance the post-elastic joint performance.

• Steel and Composite Structures
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• 제30권6호
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• pp.567-576
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• 2019

Time-dependent creep analysis of a rotating functionally graded cantilever beam with trapezoidal longitudinal cross section subjected to thermal and inertia loading is investigated using first-order shear deformation theory (FSDT). The model described in this paper is a simple simulation of a turbine blade working under creep condition. The material is a metal based composite reinforced by a ceramic where the creep properties of which has been described by the Sherby's constitutive model. All mechanical and thermal properties except Poisson's ratio are assumed to be variable longitudinally based on the volume fraction of constituent. The principle of virtual work as well as first order shear deformation theory is used to derive governing equations. Longitudinal distribution of displacements and stresses are investigated for various volume fractions of reinforcement. Method of successive elastic solution is employed to obtain history of stresses and creep deformations. It is found that stresses and displacements approach their steady state values after 40000 hours. The results presented in this paper can be used for selection of appropriate longitudinal distribution of reinforcement to achieve the desired stresses and displacements.