콘크리트는 수화반응에 필요한 물 이외의 자유수가 증발하게 되면 건조수축이 발생하며 이로 인해 발생한 균열은 구조물의 강도 및 내구성 저하에 영향을 미친다. 이에 건조수축에 의한 균열을 억제하기 위한 대처 방안으로 강섬유를 혼입한 강섬유보강콘크리 트에 관한 연구가 진행되고 있다. 본 연구에서는 아치형 강섬유 혼입량에 따른 건조수축 특성을 파악하고 구속건조수축 변형률을 콘크 리트에 발생하는 잔류 인장응력으로 치환하여 기존 연구 결과와 비교하였다. 자유건조수축 실험을 통해 아치형 강섬유 혼입량에 따른 건조수축 변형률의 저감효과는 미미한 수준임을 확인하였다. 구속건조수축 실험 결과, 아치형 강섬유 혼입량 증가에 따라 균열의 발생 지연 및 균열 폭 저감에 효과적인 것으로 나타났다. 또한 아치형 강섬유를 60kg/m3 혼입하였을 때 무보강 콘크리트에 발생하는 잔류 인장응력에 비해 52.4% 높은 인장강도를 가지며 구속건조수축에 대한 저항성능이 향상될 수 있음을 확인하였다.

The study aims to analyze the geometric characteristics of the pointed arches proposed by Al-Kāshī in his book "Miftāḥ al-Ḥisāb" (Key of Arithmetic) and investigate their planning principles, architectural application, and typological characteristics. Al-Kāshī completed this significant work in 1427 and dedicated it to Ulugh Beg, a Timurid Sultan in Samarkand. In the ninth chapter, titled "Al-‘Imārāt wa al-Abnīya" (Amīr’s Mansion and Building), Al-Kāshī sought to measure the surface areas and volumes of barrel vaults (Azaj) and domes (Qubba). To achieve this, he proposed five kinds of pointed arches (Ṭāq) and analyzed their drawing methods and composition principles. The Īwān and Qubba structures, which are curved architectural elements, hold significant importance in Islamic architecture. However, previous research has predominantly focused on comparing the drawings in Al-Kāshī's book with historical buildings, neglecting the inherent characteristics of the drawings themselves. This study intends to contribute to a deeper understanding of Al-Kāshī's remarkable work and shed light on the geometric aspects of monumental structures in the Timurid Period.

In this paper, the physical model and governing equations of a shallow arch with a moving boundary were studied. A model with a moving boundary can be easily found in a long span retractable roof, and it corresponds to a problem of a non-cylindrical domain in which the boundary moves with time. In particular, a motion equation of a shallow arch having a moving boundary is expressed in the form of an integral-differential equation. This is expressed by the time-varying integration interval of the integral coefficient term in the arch equation with an un-movable boundary. Also, the change in internal force due to the moving boundary is also considered. Therefore, in this study, the governing equation was derived by transforming the equation of the non-cylindrical domain into the cylindrical domain to solve this problem. A governing equation for vertical vibration was derived from the transformed equation, where a sinusoidal function was used as the orthonormal basis. Terms that consider the effect of the moving boundary over time in the original equation were added in the equation of the transformed cylindrical problem. In addition, a solution was obtained using a numerical analysis technique in a symmetric mode arch system, and the result effectively reflected the effect of the moving boundary.

The seismic behaviors of the arch structure vary according to the rise-span ratio of the arch structure. In this study, the rise-span ratio (H/L) of the example arch structure was set to 1/4, 1/6, and 1/8. And the installation angle of the seismic isolator was set to 15°, 30°, 45°, 60° and 90°. The installation angles of the seismic isolator were set by analyzing the horizontal and vertical reaction forces according to the rise-span ratio of the arch structure. Due to the geometrical and dynamic characteristics of the arch structure, the lower the rise-span ratio, the greater the horizontal reaction force of the static load, but the smaller the horizontal reaction force of the dynamic load. And if the seismic isolator is installed in the direction of the resultant force of the reaction forces caused by the seismic load, the horizontal seismic response becomes small. Also, as the installation angle of the seismic isolator increases, the hysteresis behavior of the seismic isolator shows a plastic behavior, and residual deformation appears even after the seismic load is removed. In the design of seismic isolators for seismic response control of large space structures such as arch structures, horizontal and vertical reaction forces should be considered.

본 연구는 유한요소 해석모델을 이용해 아치 형상을 갖는 석션 상판의 거동을 분석하였다. 평판형 및 아치형 상판의 기본적인 구조 성능에 대해 비교함으로써 아치형 상판의 이점을 설명하였다. 또한 아치형 상판의 기하 및 보강재 배치 변화에 따른 거동 변화를 비교하여 각 인자가 상판의 응력 및 변형에 미치는 영향을 조사하였다. 추가로 아치형 상판 가장자리의 경계조건 영향을 수치적으로 분석함으로써, 아치형 상판의 보강재 배치와 가물막이 벽체와의 상호거동 영향을 규명하고 이를 통해 보강형 아치형 상판의 구조설계의 기본 개념을 도출하였다. 평판형 상판과 달리 환형 보강재가 아치형 상판의 구조 거동을 확연히 개선시킬 수 있음을 확인하였으며, 방사 보강재의 역할은 상판 가장자리의 구속상태에 의존적이었다.

When an unexpected excessive seismic load is applied to the base isolation of arch structure, the seismic displacement of the base isolation may be very large beyond the limit displacement of base isolation. These excessive displacement of the base isolation causes a large displacement in the upper structure and large displacement of upper structure causes structural damage. Therefore, in order to limit the seismic displacement response of the base isolation, it is necessary to install an additional device such as an anti-uplift device to the base isolation. In this study, the installation direction of the base isolation and the control performance of the base isolation installed anti-uplift device were investigated. The installation direction of the base isolation of the arch structure is determined by considering the horizontal and vertical reaction forces of the arch structure. In addition, the separation distance of the anti-uplift device is determined in consideration of the design displacement of the base isolation and the displacement of the arch structure.

If an excessive displacement occurs in the base isolation system, the structure will be damaged due to overturning of the upper structure. In this study, we analyze the behavior of base isolation by applying earthquake to base isolation with anti-uplift device. In the case of structures that generate horizontal reaction forces such as arch structures, horizontal reaction forces must be considered in the design of the base isolation and structural members. And anti-uplift device for preventing the excessive displacement of the base isolation system is needed.

Background: The classification of foot type can be commonly determined by the height of the media longitudinal arch. The normalized arch height (NAH) is defined as the ratio of navicular or instep heights to the foot length or instep length. Objects: This study investigated the relationships among foot characteristics, such as foot length (FL), instep length (IL), navicular height (NH), and instep height (IH), in Korean young adults. Also, the distribution of foot type based on calculated NAH was assessed. Methods: Three-dimensional foot scanning data of young adults aged 20 to 39 years (total: 1,978; 974 male, 1,004 female) were obtained from the Korea Technology Standards Institute, and used for analyses. NAH was calculated as the following: NH/FL, IH/FL, IH/IL, NH/ IL. Spearman’s rank order correlation was used to identify correlations among variables. The Mann–Whitney U-test and chi-square test were used to compare the sex differences in foot characteristics and distribution of foot type. Results: FL and IL showed a very high correlation (r = 0.94). The correlations between FL or IL and IH (r = 0.50–0.57) were greater than those between FL or IL and NH (r = 0.23–0.72). Males had significantly larger values than females (p < 0.001), and the frequency of pes planus was significantly higher in females than in males (χ2 = 50.09, p < 0.001). Based on the IH/IL index, the neutral foot, pes planus and pes cavus distributed by 16%, 78%, and 6% respectively. Conclusion: Our results on foot arch distribution could be used as basic data in clinical or footwear fields, and our data on differences in arch structure according to sex may facilitate understanding of why injury to the lower limbs differs between males and females.

This paper examined the dynamic instability of a shallow arch according to the response characteristics when nearing critical loads. The frequency changing feathers of the time-domain increasing the loads are analyzed using Fast Fourier Transformation (FFT), while the response signal around the critical loads are analyzed using Hilbert-Huang Transformation (HHT). This study reveals that the models with an arch shape of h = 3 or higher exhibit buckling, which is very sensitive to the asymmetric initial conditions. Also, the critical buckling load increases as the shape increases, with its feather varying depending on the asymmetric initial conditions. Decomposition results show the decrease in predominant frequency before the threshold as the load increases, and the predominant period doubles at the critical level. In the vicinity of the critical level, sections rapidly manifest the displacement increase, with the changes in Instantaneous Frequency (IF) and Instant Energy (IE) becoming apparent.

The structural design of arch roofs or bridges requires the analysis of their unstable behaviors depending on certain parameters defined in the arch shape. Their maintenance should estimate the parameters from observed data. However, since the critical parameters exist in the equilibrium paths of the arch, and a small change in such the parameters causes a significant change in their behaviors. Thus, estimation to find the critical ones should be carried out using a global search algorithm. In this paper we study the parameter estimation for a shallow arch by a quantum-inspired evolution algorithm. A cost functional to estimate the system parameters included in the arch consists of the difference between the observed signal and the estimated signal of the arch system. The design variables are shape, external load and damping constant in the arch system. We provide theoretical and numerical examples for estimation of the parameters from both contaminated data and pure data.

최근 건설기술발전은 시공순서 세분화와 단면강성증진과 같은 기술변화로 선형조건 및 시공여건에 따라 요구되고 있는 다양한 교량 상부거더 형식이 개발되고 있다. 즉, 교량하부 형하공간이 부족한 곳에 설치하여야 하는 저형고 또는 장경간 거더와 같이 각각의 교량 설치 위치 상황에 따라 다른 형식을 요구되고 있다. 이러한 요구로 기존의 하로판형교를 개선한 아치 엣지보로 보강된 U형 강합성 교량을 연구대상 교량으로 선정하게 되었다. 따라서 본 연구는 아치 형태로 변화는 I형 강재의 상부 압축부에 고강도 콘크리트를 충전시켜 각각의 주거더를 구성시킨 하로교형식의 강합성 U형거더를 실물제작하여 구조거동을 분석하였다. 실험하중은 2단계로 구분하여 적용하였다. 1단계는 설계하중 1,200kN의 2.5배인 1차 실험하중 3,000kN을 재하하여 실험오차와 재료비선형성을 확인하였다. 2단계 실험하중 2,000kN에서는 선형분포를 나타냈고 하중제거상태에서 잔류변형이 발생하지 않았다. 분석결과, 아치단면으로 변하는 주거더와 주거더 상단의 충전콘크리트의 합성은 단부의 압축력 집중현상과 같은 아칭효과를 나타냈다.

본 논문에서는 지반경계조건의 설정이 프리캐스트 아치구조물의 폭발저항성능 평가에 미치는 영향을 수치해석적 기법을 사용하여 파악하고자 하였다. 지반경계조건은 고정조건과 PML(perfectly matcher layer)을 이용한 경계조건의 두 가지로 적용하였으며, 폭발하중은 대상 구조물의 설계하중보다 큰 하중을 사용하여 경계조건의 영향을 명확히 비교할 수 있도록 하였다. 폭발압력의 분포 및 경로, 구조물에 발생하는 변위, 콘크리트의 파쇄여부, 콘크리트 및 철근의 응력을 비교․분석하였으며, PML을 적용하였을 때 지반 경계면에서 발생하는 반사파를 효과적으로 제거할 수 있음을 확인하였다. 또한, 이로 인해 구조물 기초부의 변위가 감소하는 것으로 나타났다. 하지만, 콘크리트의 파쇄여부, 콘크리트 및 철근에 발생하는 응력을 포함한 전반적인 구조물의 거동에는 뚜렷한 차이가 발생하지 않았다. 따라서 방호시설의 설계를 목적으로 폭발시뮬레이션을 수행하는 경우에는 지반경계조건에 고정조건을 적용하였을 때 안전측의 결과를 얻을 수 있으며, 해석시간이 단축되는 이점도 있으므로 이러한 면을 종합적으로 고려하여 지반경계조건을 고정조건으로 적용하는 것이 합리적이라고 판단된다.

최근 세장한 구조의 장경간 아치교의 시공 및 설계가 증가하고 있는 추세로서 아치부재에 적용되는 강재를 경량화시킬 수 있는 콘크리트 충전강관 부재에 대한 수요가 증가하고 있다. 이는 장경간 아치교량의 구조적 특성상 압축력 지지에 유리한 콘크리트를 강재와 같이 이용함으로써 구조적 효율성을 증대시킬 수 있다. 본 연구에서는 콘크리트 충전강관을 사용한 아치교 설계에 적용되는 초기변수를 고려하여 하로아치교를 대상으로 강관 단면 내 콘크리트 충전길이, 트러스타입의 아치리브 높이, 강관 단면의 재료강성 변화 등의 영향을 유한요소해석을 통해 비교분석하였다. 이를 토대로 콘크리트 충전강관의 아치교 최적화 설계 방법을 제안하고 콘크리트 충전강관의 아치교 적용성을 확보할 수 있도록 경제성 분석을 수행하였다. 분석결과 콘크리트 충전강관 아치리브단면 적용 시 기존 아치리브에 비해 하로아치교의 경우 22.0%의 강재절감이 가능하며 콘크리트 충전에 따른 비용증가는 발생하나 전체 공사비의 경우 18% 절감되어 경제적으로 효과를 보였다.

본 연구의 목적은 평발을 가진 여성 노인의 계단 하강 보행 시 일반인솔 및 아치 지지형 인솔을 적용에 따른 족저압력 및 압력중심점 변인들의 차이를 조사하는데 목적이 있다. 족저압력 분석장비(Pedar-X, Novel, Germany)를 사용하여 14명의 평발 노인을 대상으로 3종류(일반인솔, A형 인솔, B형 인솔)의 인솔착용 후 최대족저압력, 평균족저압력, 접촉면적, 압력중심점의 이동거리, 변위 및 최대범위의 평균값을 산출하였으며, 일원변량분석(one-way ANOVA)를 이용하여 인솔 종류간 평균을 비교하였다. 족저압력 변인 중 최대족저압력은 중족부의 M3, 평균족저압력은 M2, M3, M4 영역에서, 접촉면적은 M2, M3, 그리고 M6 영역에서 통계적으로 유의한 차이를 보였으며, 압력중심점 변인 중 전후축과 좌우축에서 압력중심점의 이동거리에서 통계적으로 유의한 차이를 보였다. 족저압력 평가결과 아치 지지 기능을 가진 인솔을 삽입한 A와 B형 인솔에서 족궁지지 영역인 M3의 최대압력은 B형 인솔과 A형 인솔이 일반인솔과 비교했을 때 높게 나타났다. 좌우축, 전후축 압력중심점의 이동거리는 A형과 B형 인솔 모두 일반 인솔에 비해 짧게 나타났다.

In this study, we investigated the dynamic stability of the system and the semi-analytical solution of the shallow arch. The governing equation for the primary symmetric mode of the arch under external load was derived and expressed simply by using parameters. The semi-analytical solution of the equation was obtained using the Taylor series and the stability of the system for the constant load was analyzed. As a result, we can classify equilibrium points by root of equilibrium equation, and classified stable, asymptotical stable and unstable resigns of equilibrium path. We observed stable points and attractors that appeared differently depending on the shape parameter h, and we can see the points where dynamic buckling occurs. Dynamic buckling of arches with initial condition did not occur in low shape parameter, and sensitive range of critical boundary was observed in low damping constants.

The arched stone bridge has been continuously deteriorated and damaged by the weathering and corrosion over time, and also natural disaster such as earthquake has added the damage. However, masonry stone bridge has the behavior characteristics as discontinuum structure and is very vulnerable to lateral load such as earthquake. So, it is necessary to analyze the dynamic behavior characteristics according to various design variables of arched stone bridge under seismic loads. To this end, the arched stone bridge can be classified according to arch types, and then the discrete element method is applied for the structural modelling and analysis. In addition, seismic loads according to return periods are generated and the dynamic analysis considering the discontinuity characteristics is carried out. Finally, the dynamic behavior characteristics are evaluated through the structural safety estimation for slip condition.

In order to solve the limitation of the long span arch structures, a numerical analysis was carried out to investigate the effects of embedded trench installation technique to the earth pressure of an underground arch-rib shaped structure. For the arch-rib shape, the parabolic curve and the circular shape were analyzed according to the span-rise ratio varying from 0.1 to 0.5. The finite element analysis program, ABAQUS (2016), was used to consider the soil - structure interaction. The results from the analysis was verified through comparison with the existing Geofoam application technique.

In order to reduce the seismic response of the spatial structure, a seismic isolation system with sufficient flexibility is used. The natural period of structure with seismic isolation system got be long to avoid prominent period. In this study, The seismic response of the truss-arch structure, which is modeled in three types according to the rise-span ratio is analyzed on El-centro, Northridge and Artificial Earthquake and compared with the seismic response of the truss-arch structure with lead rubber bearing(LRB). When seismic load is applied to the truss arch with isolation system, the horizontal acceleration response of the truss arch is reduced and vertical seismic response is also reduced. The application of the seismic isolation system is effective in controlling the seismic response.