• Structural Engineering and Mechanics
• /
• 제85권5호
• /
• pp.665-677
• /
• 2023

In the present study, the limit point buckling and postbuckling behaviors of sinusoidal, shallow arches with pinned supports subjected to localized sinusoidal loading, based on the Euler-Bernoulli beam theory, are numerically analyzed. There are some studies on the buckling of sinusoidal shallow arches under the effect of sinusoidal loading. However, in these studies, the sinusoidal loading acts along the horizontal projection of the entire shallow arch. No study has been found in the relevant literature pertaining to the stability of the shallow arches subjected to various lengths of sinusoidal loading. Therefore, the purpose of this paper is to contribute to the literature by examining the effect of the length of the localized sinusoidal loading and the initial rise of the shallow arch on the limit point buckling and postbuckling behaviors. Equilibrium paths corresponding to certain values of the length of the localized sinusoidal loading and various values of the initial rise parameter are presented. It has been observed that the length of the sinusoidal loading and the initial rise parameter affects the transition from no buckling to limit point instability remarkably. The deformed configurations of the sinusoidal shallow arch under localized loading regarding buckling and postbuckling states are illustrated, as well. The effects of the length of the localized sinusoidal loading on the internal forces of the shallow arch are investigated during various stages of the loading.

• 한국지반공학회:학술대회논문집
• /
• 한국지반공학회 2005년도 춘계 학술발표회 논문집
• /
• pp.320-327
• /
• 2005

Liquefaction characteristics of saturated sand under various dynamic loadings such as sinusoidal, wedge, increasing wedge and real earthquake loading are investigated focusing on the excess pore water pressure build up instead of liquefaction resistance strength in this paper. There are large differences between two types of earthquake loading - impact and vibration in liquefaction characteristics. The angle of phase change line of sinusoidal loading is very close to the vibration type, whereas the cumulative deviator stress and cumulative plastic strain are larger than two types of real earthquake loadings. On the other hand, the liquefaction characteristics of increasing wedge loadings are located in the range between vibration and impact earthquake loadings. It is concluded that the sinusoidal loading overestimates the resistance of soil under real earthquake loading. Based on results obtained, the increasing wedge loading can reflect the liquefaction behavior under real earthquake loadings more efficiently than sinusoidal loading based on equivalent uniform stress concept.

• 한국방재학회 논문집
• /
• 제6권1호
• /
• pp.39-48
• /
• 2006

본 시험은 다양한 sine파형을 가진 인장 및 압축 하중 하에서 아스팔트 혼합물의 모듀율값 을 비교평가하기 위하여 수행되었다. 즉, 휴식시간을 가진 반복 인장 haversine 하중, 휴식시간을 가진 반복 압축 haversine 하중, 주기적 인장하중, 주기적 압축하중, 그리고 주기적 인장-압축 반복하중이라는 총 5개의 하중형태가 32, 50, 68, 86, $104^{\circ}F$ (0, 10, 20, 30, $40^{\circ}C$) 라는 5개의 온도하에서 평가되었다. 시험결과, 휴식시간을 가진 반복 haversine 하중으로 인한 아스팔트 콘크리트의 인장 및 압축 모듀율 값은 저온에서 유사한 값을 나타내었지만, 고온에서는 상이한 값을 보였다. 특히, 고온에서 압축 모듀율 값은 인장 모듀율 값보다 높은 수치를 보였다. 또한, 저온에서 일축 직접인장 시험으로부터 구한 모듀율 값은 간접 인장시험으로부터 구한 모듀율 값보다 높은 값을 나타내었다. 그러나, 고온에서는 서로 유사한 값을 보였다. 일반적으로, 휴식시간을 갖는 반복 haversine 하중을 이용하여 얻은 모듀율 값은 주기적 sine파형을 가진 하중으로부터 구한 모듀율 값보다 항상 낮은 값을 나타내었으며 그 두 가지 하중으로부터 구한 모듀율 값의 차이는 온도가 감소함에 따라 더욱 증가되었다.

• 한국원자력학회:학술대회논문집
• /
• 한국원자력학회 1998년도 춘계학술발표회논문집(2)
• /
• pp.837-843
• /
• 1998

This paper presents the thermomechanical and fracture mechanics evaluation procedure of thermal striping damage on the secondary piping of LMFR using Green's function method and standard FEM. The thermohydraulic loading conditions used in the present analysis are simplified sinusoidal thermal loads and the random type data thermal load. The thermomechainical fatigue damage was evaluated according to ASME code subsectionNH. The analysis results of fatigue for the sinusoidal and random load cases show that fatigue failure would occur at a geometrically discontinuous location during 90,000 hours of operation The fracture mechanics analysis showed that the crack would be initiated at an early stage of the operation. The fatigue crack was evaluated to propagate up to 5 ㎜ along the thickness direction during the first 944 and 1083 hours of operation for the sinusoidal and the random loading cases, respectively.

• Interaction and multiscale mechanics
• /
• 제6권1호
• /
• pp.15-29
• /
• 2013

Phononic system composed of periodical elastic structures exhibit band gap phenomenon, and all elastic wave cannot propagate within the band gap. In this article, we consider one-dimensional binary materials which are periodically arranged as a 20-layered medium instead of infinite layered system for phononic system. The layered medium with finite dimension is subjected to a uniformly distributed sinusoidal loading at the upper surface, and the bottom surface is assumed to be traction free. The transient wave propagation in the 20-layered medium is analyzed by Laplace transform technique. The analytical solutions are presented in the transform domain and the numerical Laplace inversion (Durbin's formula) is performed to obtain the transient response in time domain. The numerical results show that when a sinusoidal loading with a specific frequency within band gap is applied, stress response will be significantly decayed if the receiver is away from the source. However, when a sinusoidal force with frequency is out of band gap, the attenuation of the stress response is not obvious as that in the band gap.

• 대한토목학회논문집
• /
• 제39권6호
• /
• pp.811-819
• /
• 2019

2016년 경주지진과 2017년 포항지진이 발생한 이후, 우리나라 내진설계에 있어서 다양한 실내진동시험의 수행이 증가하고 있으나, 액상화 평가나 수치해석의 입력파라미터를 산정하기 위한 실내진동시험에서는 이전부터 사용해 오던 정현하중의 이용이 계속되고 있다. 그러나, 최근 정현하중으로는 지진하중으로 야기되는 지반 내 과잉간극수압의 거동을 정확하게 모사하기 어렵다는 연구결과가 발표되며 정현하중을 대신하여 동하중의 개발에 대한 논의가 주목을 받기 시작하였다. 이 연구에서는 이러한 문제를 해결하고자 조합형 정현하중을 제안하고 주문진 표준사를 대상으로 한 진동전단실험과 진동삼축압축시험을 통해 그 적용성을 검토하였으며 추가로 진동대시험과 유효응력해석모델에 기초한 수치해석을 통해 그 타당성을 검토하였다. 검토 결과, 제안된 조합형 정현하중이 정현하중보다 실지진하중 하에서의 포화지반 내 과잉간극수압의 거동변화를 잘 모사할 수 있음을 발견하였다.

• Journal of Mechanical Science and Technology
• /
• 제17권1호
• /
• pp.85-96
• /
• 2003

In the present investigation, the nonlinear dynamic buckling of a curved plate subjected to sinusoidal loading is examined. By the theoretical analyses, a highly nonlinear snap-through motion of a clamped-free-clamped-free plate and its effect on the overall vibration response are investigated. The problem is reduced to that of a single degree of freedom system with the Rayleigh-Ritz procedure. The resulting nonlinear governing equation is solved using Runge-Kutta (RK-4) numerical integration method. The snap-through boundaries, which vary with different damping coefficient and linear circular frequency of the flat plate are studied and given in terms of force and displacement. The relationships between static and dynamic responses at the start of a snap-through motion are also predicted. The analysis brings out various characteristic features of the phenomenon, i.e. 1) small oscillation about the buckled position-softening spring type motion, 2) chaotic motion of intermittent snap-through, and 3) large oscillation of continuous snap-through motion crossing the two buckled positions-hardening spring type. The responses of buckled plate were found to be greatly affected by the snap-through motion. Therefore, better understanding of the snap-through motion is needed to predict the full dynamic response of a curved plate.

• 한국방재안전학회논문집
• /
• 제11권2호
• /
• pp.29-35
• /
• 2018

이 연구의 목적은 액상화를 유발시키는 진동하중의 특성을 분석하여 실지진하중 하에서의 지반 내 과잉간극수압의 거동을 잘 모사할 수 있는 표준 진동하중을 제안하고 그 타당성을 검토하는 것이다. 이를 위해 우선, 실내진동시험에서 사용해 오던 정현하중이 실제 지진 하에서의 발생하는 액상화 거동과 다소 차이가 있음을 사례연구와 실험연구를 통해 재고찰하였다. 또한, 실지진하중 하에서의 지반 내 과잉간극수압의 거동을 잘 모사할 수 있는 새로운 유형의 조합형 정현하중을 제안하고 이를 실내진동시험 및 진동대시험을 통해 타당성을 검토하였다. 진동대시험은 주문진 표준사를 이용하여 상대밀도 40%로 재성형하였으며 정현하중 및 조합형 정현하중 시험에서는 1 Hz의 진동재하주기로 통일하여 실험을 수행하였다. 이때, 정현하중시험에서는 0.3g로 최대하중을 재하하였으며 조합형 정현하중실험에서는 최대하중 0.03 g의 1차 정현하중과 0.3 g의 2차 정현하중을 재하하였다. 또한, 1차 정현하중의 재하시간은 5 초, 10 초 및 15 초로 변화시켜 시험을 수행하였다. 연구결과, 기존의 정현하중시험과 1차 정현하중을 5초간 재하한 조합형 정현하중시험에서는 과잉간극수압의 변화가 점진적으로 증가하는 경향을 나타낸 반면, 1차 정현하중을 10초와 15초로 재하한 경우에는 2차 정현하중이 재하되는 시점에서 과잉간극수압이 급격히 상승하는 경향을 나타냄으로 실지진하중 하에서의 유발되는 지반 내 과잉간극수압을 잘 모사하는 것으로 나타났다. 연구결과, 상대밀도가 40%인 모래지반에 대해서는 제안된 조합형 정현하중이 효과가 있을 것으로 판단되며 이때, 1차 정현하중의 재하시간은 10초를 초과하는 것이 적절하다고 판단된다.

• 한국소음진동공학회논문집
• /
• 제23권11호
• /
• pp.943-950
• /
• 2013

This paper discusses a harmonic response estimation method on the L$\acute{e}$vy plate with two opposite edges simply supported and the other two edges having free boundary conditions. Since the equation of motion of the plate is not self-adjoint, the modes are not orthogonal to each other on the domain. Noting that the L$\acute{e}$vy plate can be expressed using one term sinusoidal function that is orthogonal to other sinusoidal functions, this paper suggested the calculation method that is equivalent to finding a least square error minimization solution of the finite number of algebraic equations. Example problems subjected to a distributed area loading and a distributed line loading are defined and their solutions are provided. The solutions are compared to those of the commercial code, ANSYS. According to the verification results, it is expected that the suggested method will be useful to predict the forced response on the L$\acute{e}$vy plate with the distributed area or line loading conditions.

• Steel and Composite Structures
• /
• 제39권2호
• /
• pp.215-228
• /
• 2021

This paper investigates the effect of micromechanical models on the bending behavior of bidirectional functionally graded (BDFG) beams subjected to different mechanical loading. The material properties of the beam are considered to be graded in both axial and thickness directions according to a power law. The beam's behavior is modeled by the mean of quasi 3D displacement field that contain undetermined integral terms and involves a reduced unknown functions. Navier's method is employed to determine and compute the displacements and stress for a simply supported beam. Different homogenization schemes such as Voigt, Reus, and Mori-Tanaka are employed to analyze the response of the BDFG beam subjected to linear, uniform, exponential and sinusoidal distributed loading. The results obtained by the present method are compared with available results in the literature and a good agreement was found. Several numerical results are presented in tabular form and in figures to examine the effects of the material gradation, micromechanical models and types of loading on the bending response of BDFG beams. It can be concluded that the present theory is not only accurate but also simple in predicting the bending response of BDFG beam subjected to different static loads.