• Ocean Systems Engineering
• /
• 제11권1호
• /
• pp.59-81
• /
• 2021

The nonlinear formulation using the principle of virtual work-energy for free vibration of a large-sag extensible catenary riser in two dimensions is presented in this paper. A support at one end is hinged and the other is a free-sliding roller in the horizontal direction. The catenary riser has a large-sag configuration in the static equilibrium state and is assumed to displace with large amplitude to the motion state. The total virtual work of the catenary riser system involves the virtual strain energy due to bending, the virtual strain energy due to axial deformation, the virtual work done by the effective weight, and the inertia forces. The nonlinear equations of motion for two-dimensional free vibration in the Cartesian coordinate system is developed based on the difference between the Euler's equations in the static state and the displaced state. The linear and nonlinear stiffness matrices of the catenary riser are obtained and the eigenvalue problem is solved using the Galerkin finite element procedure. The natural frequencies and mode shapes are obtained. The results are validated with regard to the reference research addressing the accuracy and efficiency of the proposed nonlinear formulation. The numerical results for free vibration and the effect of the nonlinear behavior for catenary riser are presented.

• Structural Engineering and Mechanics
• /
• 제74권5호
• /
• pp.635-655
• /
• 2020

The sag effect of long stay cables is one of the key factors restricting further increase in the span of cable-stayed bridges. Based on the formerly proposed concept of long stay cables lifted by an auxiliary suspension cable in cross-strait cable-stayed bridges, corresponding static approximate calculations and analytical theory based on catenary and parabolic cable configurations are established. Taking a main span 1400 m cable-stayed bridge as the research object, three typical lifting conditions and the whole process of auxiliary cable lifting are analyzed and discussed. The results show that the sag effect is effectively reduced. The support efficiency is only improved when the cables are lifted above the original cable chord. Reduction of the horizontal component force of the cable is limited. The equivalent elastic modulus and the vertical support stiffness of the lifted cables are significantly increased with increased horizontal projection length and not sensitive to the change of the lifting point position. The scheme of lifting the cable to the chord midpoint is more economical because of the less steel required for the auxiliary suspension cable, but its effect on improving the vertical support efficiency is limited. The support efficiency is better when the cable is lifted to the cable end tangential to the original cable chord, but the lifting force and the cross-sectional area of the auxiliary suspension cable are doubled. The approximate calculation results of the lifted cables are very close to the numerical analysis results, which verifies the applicability of the approximation method proposed in this study. The results of parabolic approximation calculations are approximately equal to that of catenary cable geometry. As the parabolic approximation analysis theory of lifted cables is more convenient in mathematical processing, it is feasible to use parabolic approximation analysis theory as the analytical method for the conceptual design of lifted cables of super-long span cable-stayed bridges.

• 한국지반공학회논문집
• /
• 제15권6호
• /
• pp.155-165
• /
• 1999

화강편마암으로 된 풍화암이 기반암인 암반에 소켓된 말뚝의 지지 거동을 알기 위하여 직경 40cm인 현장타설말뚝 8개를 시공하고 말뚝 재하 시험을 실시하였다. 지반 조사는 예비조사, 본조사, 그리고 시험후 조사 등 3차례에 걸쳐서 이루어 졌으며, 이 때 BX와 NX 보링(12개소) 조사와 탄성파 탐사 등이 시행되었다. 암반 소켓 말뚝의 지지 거동을 주면부와 선단부로 분리하여 평가하기 위하여 암반 소켓 깊이를 3m, 6m 그리고 9m등으로 다양하게 하고, 선단부 지지력의 영향을 배제하기 위하여 말뚝 선단부에 스타이로폼(styrofoam)을 매설하기도 하였다. 그리고 말뚝 깊이에 따른 하중 전이 해석을 위하여 말뚝 철근에 변형률 게이지 등을 설치하고 재하 시험을 수행하였다. 상기의 재하 시험 결과로부터 국내 화강 편마암으로 된 풍화암에 소켓된 현장타설말뚝의 허용 주면지지력과 허용 선단지지력을 각각 $8.6t/m^2 \;와 \;84t/m^2$로 제안하였으며, 일축압축강도를 이용한 풍화암의 탄성계수 산정식을 제안하였다.

• Steel and Composite Structures
• /
• 제23권5호
• /
• pp.585-596
• /
• 2017

Tubular joints have been widely used in offshore platforms and space structures due to their merits such as easy fabrication, aesthetic appearance and better static strength. For existing tubular joints, a grouted sleeve reinforced method was proposed in this paper. Experimental tests on five tubular T-joints reinforced with the grouted sleeve and two conventional tubular T-joints were conducted to investigate their mechanical behaviour. A constant axial compressive force was applied to the chord end to simulate the compressive state of the chord member during the tests. Then an axial compressive force was applied to the top end of the brace member until the collapse of the joint specimens occurred. The parameters investigated herein were the grout thickness, the sleeve length coefficient and the sleeve construction method. The failure mode, ultimate load, initial stiffness and deformability of these joint specimens were discussed. It was found that: (1) The grouted sleeve could change the failure mode of tubular T-joints. (2) The grouted sleeve was observed to provide strength enhancement up to 154.3%~172.7% for the corresponding un-reinforced joint. (3) The initial stiffness and deformability were also greatly improved by the grouted sleeve. (4) The sleeve length coefficient was a key parameter for the improved effect of the grouted sleeve reinforced method.

• 한국국방경영분석학회지
• /
• 제3권1호
• /
• pp.83-96
• /
• 1977

The combustion chamber and nozzle of an end burning, small spherical rocket is designed. A spherical external shape has a number of advantages such as fixed center-of-gravity and minimum aerodynamic precession torques during flight and a better mass distribution for gyro-stabilization as contrasted to a conventional ogive rocket shape. It is shown that the cross-sectional variation of the end burning solid propellant with length is an exponential geometry to provide a constant thrust-weight ratio of the rocket device during the propellant burning period, and that the factors which affect the attainment of the constant relationship of thrust to weight in the design are the initial propellant area, initial weight of the rocket and propellant density. The measurement of the transient thrust in the ground static test using black powder propellant supports the predicted results. A wind tunnel having a $30{\times}30{\times}75cm$ test section and Mach number 0.11 is constructed, and a simple balance-type device is designed for the measurement of the drag of a spinning sphere. The experimental results indicate that the. spinning has no effect on the magnitude of the drag up to the Reynolds number $3{\times}10^5$. Numerical computation of the flight trajectories for various launching angles is presented, and the gyro-stabilization of spinning sphere is discussed.

• Bulletin of the Korean Chemical Society
• /
• 제21권6호
• /
• pp.623-627
• /
• 2000

Aggregation of hydrophobically end-capped poly(ethylene oxide)s: HEURs, denoted as $C_8$$EO_{380}$$C_8$, $C_12$$CO_{600}$$C_{12}$, and $C_{18}$$EO_{860}$$C_{18}$,are described using static fluorescence, dynamic light scattering, and atomic force microscope (AFM) techniques. The CAC (critical aggregation concentration) was determined by com-paring two fluorescent peaks which were influenced by the polarity of the probe dye molecules, pyrene. The aggregation occurs in concentrations higher than 10 g/L of $C_8$$EO_{380}$$C_8$ and the CAC decreases by increasing the side chain length. The dynamic light scattering experiment shows fast mode and slow mode decays, and both are diffusive. The fast mode does not depend on the concentration, but the slow mode shows concentration dependence influenced by the formation of an aggregated structure. The hydrophobic end groups effect more dominantly than the main chains for the formation of HEUR micelles. By increasing the concentration, the HEUR micelles change their structure from spheres to rodlike micelles, and finally make fused structures, which were visualized with atomic force microscopy.

• 한국의학물리학회지:의학물리
• /
• 제26권3호
• /
• pp.119-126
• /
• 2015

본 연구에서는 불규칙적인 종양의 움직임에서 각각의 움직임 파라미터에 의해 발생되는 토모테라피 장비의 선량 오차 특성을 분석하여, 각각의 파라미터가 선량에 미치는 효과를 확인하기 위해 간소화된 이론 모델을 적용, 시뮬레이션 분석을 수행하고자 한다. 간단한 분석적인 모델이 tumor motion parameters에 의한 motion-induced dose error를 분석하기 위해 사용되었다. 분석적인 모델은 실제 tomotherapy 장비를 이용한 static dose와 Simulated tumor motion를 이용하여 dose profile을 획득하는 것이다. 본 연구에서는 Static dose를 얻기 위해 Hi-art tomotherapy unit을 이용하였다. Simulated tumor motion은 internet accessible respiratory trace generator (RTG) program을 이용하여 획득되었다. 종양의 움직임은 불규칙한 정도가 큰 케이스와 작은 케이스, 실제 환자의 종양 움직임을 모사한 케이스로 구분하였다. 불규칙도가 작은 케이스의 경우 종양의 진폭, 주기, 베이스라인 등 종양 움직임 파라미터에 10% 변동을 인가 하였으며, 불규칙도가 큰 케이스의 경우 40%의 변동을 인가 하였다. 위상변동 케이스의 경우 종양의 초기위상이 end inhale, mid exhale, end exhale, and mid inhale으로 나뉘어 졌고, 시뮬레이션을 통해 획득된 각각의 선량분포결과가 비교되었다. 또한, 환자 케이스에서는 임상과 동일한 조건에서의 종양 움직임을 인가하여 선량 오차를 획득하였다. 종양의 움직임에 의한 선량은 시뮬레이션 과정을 통해 계산되었으며 이를 종양의 움직임이 없는 케이스와 비교하여 종양 움직임이 선량에 미치는 영향을 확인했다. 진폭, 주기, 베이스라인 등 종양 움직임 파라미터가 불규칙하게 변하는 경우, 종양이 불규칙하게 움직이는 케이스의 경우 불규칙도가 큰 케이스의 경우가 불규칙도가 작은 케이스와 규칙적으로 움직이는 케이스보다 더 큰 선량오차가 발생하였다. 상쇄 효과는 종양움직임의 불규칙성에 반비례하기 때문에, 종양 움직임의 불규칙성이 큰 케이스의 경우 불규칙성이 작은 케이스, 종양의 움직임이 규칙적인 케이스에 비해 더 적은 상쇄 효과가 발생하였다. 위상변동 케이스의 경우, 불규칙한 종양의 움직임 케이스에서 규칙적인 움직임 케이스보다 더 큰 선량 차이가 관찰되었고, 또한 환자케이스에서 규칙적인 종양의 움직임의 경우보다 더 큰 선량의 차이가 발견되었다. 본 연구에서는 불규칙적인 종양의 움직임에서 각각의 움직임 변수들의 불규칙성에 따른 발생되는 토모테라피에서의 선량 오차 특성을 분석하였다. 본 연구의 결과를 통해 불균일한 종양 움직임의 불규칙성을 제어하는 것에 대한 중요성을 확인할 수 있었고, 이러한 불균일성의 제어의 경우 복부압박이나 호흡 훈련을 통해 해결이 가능할 것으로 생각된다.

• 한국항해항만학회:학술대회논문집
• /
• 한국항해항만학회 2002년도 춘계학술대회논문집
• /
• pp.197-203
• /
• 2002

The estimation of pile bearing capacity is important since the design details are determined from the result. There are numerous ways of determining the pile design load, but only few of them are chosen in the actual design. According to the recent investigation in Korea, the formulas proposed by Meyerhof based on the SPT N values are most frequently chosen in the design stage. In the study, various static and dynamic formulas have been used in predicting the allowable bearing capacity of a pile. Further, the reliability of these formulas has been verified by comparing the perdicted values with the static and dynamic load test measurements. Also in cases, these methods of pile bearing capacity determination do not take the time effect consideration, the actual allowable load as determined from pile load test indicates severe deviation from the design value. The principle results of this study are summarized as follows : A a result of estimate the reliability in criterion of the Davisson method, in was showed that Terzaghi & Peck > Chin > Meyerhof > Modified Meyerhof method was the most reliable method for the prediction of bearing capacity. Comparisons of the various pile-driving formulas showed that Modified Engineering News was the most reliable method. However, a significant error happened between dynamic bearing capacity equation was judged that uncertainty of hammer efficiency, characteristics of variable , time effect etc... was not considered. As a result of considering time effect increased skin friction capacity higher than end bearing capacity. It was found out that it would be possible to increase the skin friction capacity 1.99 times higher than a driving. As a result of considering 7 day's time effect, it was obtained that Engineering News. Modified Engineering News. Hiley, Danish, Gates, CAPWAP(CAse Pile Wave Analysis Program ) analysis for relation, respectively, $Q_{u(Restrike)}$ $Q_{u(EOID)}$ = 0.971 $t_{0.1}$, 0.968 $t_{0.1}$, 1.192 $t_{0.1}$, 0.88 $t_{0.1}$, 0.889 $t_{0.1}$, 0.966 $t_{0.1}$, 0.889 $t_{0.1}$, 0.966 $t_{0.1}$

• Wind and Structures
• /
• 제16권1호
• /
• pp.93-115
• /
• 2013

This paper describes a study of the influence of a dynamically flexible building structure on pressures inside and net pressures on the roof of low-rise buildings with a dominant opening. It is shown that dynamic interaction between the flexible roof and the internal pressure results in a coupled system that is similar to a two-degree-of-freedom mechanical system consisting of two mass-spring-damper systems with excitation forces acting on both the masses. Two resonant modes are present, the natural frequencies of which can readily be obtained from the model. As observed with quasi-static building flexibility, the effect of increased dynamic flexibility is to reduce the first natural frequency as well as the corresponding peak value of the admittance, the latter being the result of increased damping effects. Consequently, it is found that the internal and net roof pressure fluctuations (RMS coefficients) are also reduced with dynamic flexibility. This model has been validated from experiments conducted using a cylindrical model with a leeward end flexible diaphragm, whereby good match between predicted and measured natural frequencies, and trends in peak admittances and RMS responses with flexibility, were obtained. Furthermore, since significant differences exist between internal and net roof pressure responses obtained from the dynamic flexibility model and those obtained from the quasi-static flexibility model, it is concluded that the quasi-static flexibility assumption may not be applicable to dynamically flexible buildings. Additionally, since sensitivity analyses reveal that the responses are sensitive to both the opening loss coefficient and the roof damping ratio, careful estimates should therefore be made to these parameters first, if predictions from such models are to have significance to real buildings.

• 한국철도학회논문집
• /
• 제2권3호
• /
• pp.36-45
• /
• 1999

The basic idea of cable-stayed girder bridges is the utilization of high strength cables to provide intermediate supports for the bridge girder so that the girder can span a much longer distance. In the cable-stayed bridge, the cables exhibit nonlinear behavior because of the change in sag, due to the dead weight of the cable, which occurs with changing tension in the cable resulting from the movement of the end points of the cable as the bridge is loaded. Techniques required for the static analysis of cable-stayed bridges has been developed by many researchers. However, little work has been done on the dynamic analysis of such structures. To investigate the characteristics of the dynamic response of long-span cable-stayed bridges due to various dynamic loadings likes moving traffic loads. two different 3-D cable-stayed bridge models are considered in this study. Two models are exactly the same in structural configurations but different in finite element discretization. Modal analysis is conducted using the deformed dead-load tangent stiffness matrix. A new concept was presented by using divided a cable into several elements in order to study the effect of the cable vibration (both in-plane and swinging) on the overall bridge dynamics. The result of this study demonstrates the importance of cable vibration on the overall bridge dynamics.