• 미술자료
• /
• 제100권
• /
• pp.50-80
• /
• 2021

본고는 원각사탑에 대한 지난 백 년간의 근대 학설사를 층수에 초점을 맞추어 비판적으로 성찰하였다. 먼저 제II장에서는 근대 개항기에 조선을 여행한 서양인들이 종래 한성의 '비미(非美)'내지는 흉물로 간주되던 원각사탑을 한성의 '기관(奇觀)'내지 '위관(偉觀)'으로 재발견하는 역동적인 과정을 추적하였다. 이들은 불탑에 관한 예비지식이 거의 없는 서양 출신이었기 때문에, 역설적으로 원각사탑에 대하여 객관적인 견문기를 남길 수 있었는바, 그들이 접촉한 조선 지식인들을 통하여 대체로 13층설을 받아들였다. 이어서 제III장에서는 대한제국 선포 이후 일인 관변학자들이 원각사탑을 본격적으로 학술 조사하고, 일제식민기 동안 조선총독부가 원각사탑을 문화재로서 관리하는 과정 및 그 문제점을 언급하였다. 특히 지난 100여 년 동안 원각사탑 층수 문제에 관하여 가장 큰 영향력을 행사한 세키노 타다시(關野 貞)의 학설이 10층설에서 13층설로, 다시 다층설로 변하는 문제를 집중 조명하였다. 마지막으로 제IV장에서는 해방 이후부터 1962년까지 원각사탑에 대한 인식이 다층설에서 10층설로 바뀐 경과를 정리하되, 선행하는 일제식민기 조선 지식인들의 인식이 13층설 일변도였음을 특기해두었다. 다만 1962년 이후 지금까지 원각사탑에 관련하여 중요한 연구성과가 적지않이 발표되었지만, 층수에 관한 한 대부분 1962년에 확정된 10층설을 전제로 하였기 때문에, 본고에서는 따로 정리하지 않았다. 학설사 검토의 결과, 원각사탑이 13층탑으로서 건립되었다는 근거가 명백함에도 불구하고, 일제시기는 물론 해방 이후 지금까지 백 년이 넘도록 13층설은 단 한 번도 공인받지 못하였으며, 학계에서 층수 문제가 본격적으로 다루어지지도 않았음을 확인할 수 있었다. 원각사탑과 경천사탑이 10층탑이라는 현재의 통설은, 백 년 전에 세키노 타다시(關野 貞)가 최초로 주창하였다. 세키노는 원각사에 남아있는 「원각사비」가 글자를 거의 판독할 수 없을 정도로 마멸이 심하였기 때문에 원각사탑의 현상만 건축학의 관점에서 고찰하고 10층탑이라고 주장하였다. 공교롭게도 그 직후에 발견된 『속동문선』에 실린 「원각사비」에서 '탑 13층을 세웠다.'라는 구절이 확인되었다. 또한 15세기 후반 왕명으로 『동국여지승람』을 편찬한 편찬자들도 원각사탑의 모범인 경천사탑 또한 '13층탑'임을 분명히 인식하고 있었다. 특히 원각사탑 건립 직후 왕명으로 건립된 「원각사비」는 세키노의 10층설이 전제에 오류가 있음을 명백히 보여준다. 세키노는, '3층의 기단 위에 탑신 10층이 올려져 있어서, 세상 사람들이 13층탑이라고 불렀다.'라고 하였는데, 「원각사비」는 세조가 처음부터 13층탑으로서 원각사탑을 건립하였음을 생생하게 증언한다. 다만 이례적이게도 13층탑을 3층의 기단 위에 탑신 10층을 올린 형태로 조성하였을 따름이다. 그렇다면 세조는 왜 13층탑을 세웠으며, 왜 그것을 3층의 기단 위에 탑신 10층이라는 이례적인 형태로 구현하였는가? 세조가 원각사13층탑을 건립한 의도를 온전히 이해하려면, 먼저 원각사탑의 정체를 파악해야 하는바, 그 첫 단추는 원래의 명칭을 회복하는 데 있다. 필자는 전제의 오류 위에 구축된 세키노의 10층설-나아가 절충적인 다층설-은 이제 폐기하고, 「원각사비」에서 말하는 13층설을 복원할 것을 촉구한다.

• Structural Engineering and Mechanics
• /
• 제65권4호
• /
• pp.453-464
• /
• 2018

In this paper, an efficient higher-order shear deformation theory is presented to analyze thermomechanical bending of temperature-dependent functionally graded (FG) plates resting on an elastic foundation. Further simplifying supposition are made to the conventional HSDT so that the number of unknowns is reduced, significantly facilitating engineering analysis. These theory account for hyperbolic distributions of the transverse shear strains and satisfy the zero traction boundary conditions on the surfaces of the plate without using shear correction factors. Power law material properties and linear steady-state thermal loads are assumed to be graded along the thickness. Nonlinear thermal conditions are imposed at the upper and lower surface for simply supported FG plates. Equations of motion are derived from the principle of virtual displacements. Analytical solutions for the thermomechanical bending analysis are obtained based on Fourier series that satisfy the boundary conditions (Navier's method). Non-dimensional results are compared for temperature-dependent FG plates and validated with those of other shear deformation theories. Numerical investigation is conducted to show the effect of material composition, plate geometry, and temperature field on the thermomechanical bending characteristics. It can be concluded that the present theory is not only accurate but also simple in predicting the thermomechanical bending responses of temperature-dependent FG plates.

• Geomechanics and Engineering
• /
• 제22권2호
• /
• pp.119-132
• /
• 2020

In this study a new innovative three unknowns trigonometric shear deformation theory is proposed for the buckling and vibration responses of exponentially graded sandwich plates resting on elastic mediums under various boundary conditions. The key feature of this theoretical formulation is that, in addition to considering shear deformation effect, it has only three unknowns in the displacement field as in the case of the classical plate theory (CPT), contrary to five as in the first shear deformation theory (FSDT) and higher-order shear deformation theory (HSDT). Material characteristics of the sandwich plate faces are considered to vary within the thickness direction via an exponential law distribution as a function of the volume fractions of the constituents. Equations of motion are obtained by employing Hamilton's principle. Numerical results for buckling and free vibration analysis of exponentially graded sandwich plates under various boundary conditions are obtained and discussed. Verification studies confirmed that the present three -unknown shear deformation theory is comparable with higher-order shear deformation theories which contain a greater number of unknowns.

• Structural Engineering and Mechanics
• /
• 제67권4호
• /
• pp.369-383
• /
• 2018

In this work, a novel hyperbolic shear deformation theory is developed for free vibration analysis of the simply supported functionally graded plates in thermal environment and the FGM having temperature dependent material properties. This theory has only four unknowns, which is even less than the other shear deformation theories. The theory presented is variationally consistent, without the shear correction factor. The present one has a new displacement field which introduces undetermined integral variables. Equations of motion are obtained by utilizing the Hamilton's principles and solved via Navier's procedure. The convergence and the validation of the proposed theoretical model are performed to demonstrate the efficacy of the model.

• Steel and Composite Structures
• /
• 제25권6호
• /
• pp.693-704
• /
• 2017

In this research, a simple hyperbolic shear deformation theory is developed and applied for the bending, vibration and buckling of powerly graded material (PGM) sandwich plate with various boundary conditions. The displacement field of the present model is selected based on a hyperbolic variation in the in-plane displacements across the plate's thickness. By splitting the deflection into the bending and shear parts, the number of unknowns and equations of motion of the present formulation is reduced and hence makes them simple to use. Equations of motion are obtained from Hamilton's principle. Numerical results for the natural frequencies, deflections and critical buckling loads of several types of powerly graded sandwich plates under various boundary conditions are presented. The accuracy of the present formulation is demonstrated by comparing the computed results with those available in the literature. As conclusion, this theory is as accurate as other theories available in the literature and so it becomes more attractive due to smaller number of unknowns.

• Structural Engineering and Mechanics
• /
• 제32권4호
• /
• pp.501-516
• /
• 2009

This paper aims to study the large deflections of variable-arc-length elastica subjected to the terminal forces (e.g., axial force and torque). Based on Kirchhoff's rod theory and with help of Euler parameters, the set of nonlinear governing differential equations which free from the effect of singularity are established together with boundary conditions. The system of nonlinear differential equations is solved by using the shooting method with high accuracy integrator, seventh-eighth order Runge-Kutta with adaptive step-size scheme. The error norm of end conditions is minimized within the prescribed tolerance ($10^{-5}$). The behavior of VAL elastica is studied by two processes. One is obtained by applying slackening first. After that keeping the slackening as a constant and then the twist angle is varied in subsequent order. The other process is performed by reversing the sequence of loading in the first process. The results are interpreted by observing the load-deflection diagram and the stability properties are predicted via fold rule. From the results, there are many interesting aspects such as snap-through phenomenon, secondary bifurcation point, loop formation, equilibrium configurations and effect of variable-arc-length to behavior of elastica.

• Structural Engineering and Mechanics
• /
• 제64권4호
• /
• pp.391-402
• /
• 2017

In this paper, a new nonlocal trigonometric shear deformation theory is proposed for thermal buckling response of nanosize functionally graded (FG) nano-plates resting on two-parameter elastic foundation under various types of thermal environments. This theory uses for the first time, undetermined integral variables and it contains only four unknowns, that is even less than the first shear deformation theory (FSDT). It is considered that the FG nano-plate is exposed to uniform, linear and sinusoidal temperature rises. Mori-Tanaka model is utilized to define the gradually variation of material properties along the plate thickness. Nonlocal elasticity theory of Eringen is employed to capture the size influences. Through the stationary potential energy the governing equations are derived for a refined nonlocal four-variable shear deformation plate theory and then solved analytically. A variety of examples is proposed to demonstrate the importance of elastic foundation parameters, various temperature fields, nonlocality, material composition, aspect and side-to-thickness ratios on critical stability temperatures of FG nano-plate.

• Geomechanics and Engineering
• /
• 제21권1호
• /
• pp.1-9
• /
• 2020

In this article, an analytical solution for the effect of the rotation on thermo-viscoelastic non-homogeneous medium with a spherical cavity subjected to periodic loading is studied. The distribution of displacements, temperature, redial stress, and hoop stress in non-homogeneous medium, in the context of generalized thermo-viscoelasticity using the GL theory, is discussed and obtained. The results are displayed graphically to illustrate the effect of the rotation. Comparisons with the previous work in the absence of rotation and viscosity are made.

• 철학연구
• /
• 제117권
• /
• pp.1-33
• /
• 2011

플라톤의 정치사상은 <국가>, <정치가>, <법률>이라는 세 대화편에서 전개된다. 당시의 혼란스런 정치적 상황에서, 그는 모든 시민이 행복할 수 있는 '정의로운 나라'를 염원하면서 <국가>에서 이상국가의 설계도를 제시한다. 그런데 이상적인 나라의 핵심요소는 철인왕이다. 플라톤은 철학적 이성과 통치 권력이 결합되지 않는 한, '아름다운 나라'가 건설될 수 없다고 믿었기 때문이다. <국가>에서 보여준 그의 형이상학, 영혼론, 교육론 등은 모두 이 철인왕 통치를 위해서 동원된 수단들이다. 다시 말해 철인왕 안에서 그의 모든 철학적 이론들이 용해되어 있다. 그러나 현실적으로 이러한 이상적 통치자의 등장이 불가능에 가까우므로, <정치가>의 과도기를 거쳐 <법률>에서 법률로 다스려지는 차선의 국가를 모색하게 된다. 그렇다면 플라톤은 이상국가의 꿈을 완전히 저버렸는가, 아니면 완전한 실현은 아닐지라도 법을 통해 이에 근접하고자 했는가? 또한 통치자와 법은 상호대립의 관계에 있는가, 아니면 상호 보완의 관계에 있는가? 이러한 문제들을 본 논문에서 고찰하고자 하며, 마지막으로 플라톤의 이상국가와 철인왕을 성경의 저자들이 증거 하는 하나님나라 및 예수와 비교하고자 한다.

• Advances in nano research
• /
• 제7권3호
• /
• pp.191-208
• /
• 2019

In the present work the dynamic analysis of the functionally graded rectangular nanoplates is studied. The theory of nonlocal elasticity based on the quasi 3D high shear deformation theory (quasi 3D HSDT) has been employed to determine the natural frequencies of the nanosize FG plate. In HSDT a cubic function is employed in terms of thickness coordinate to introduce the influence of transverse shear deformation and stretching thickness. The theory of nonlocal elasticity is utilized to examine the impact of the small scale on the natural frequency of the FG rectangular nanoplate. The equations of motion are deduced by implementing Hamilton's principle. To demonstrate the accuracy of the proposed method, the calculated results in specific cases are compared and examined with available results in the literature and a good agreement is observed. Finally, the influence of the various parameters such as the nonlocal coefficient, the material indexes, the aspect ratio, and the thickness to length ratio on the dynamic properties of the FG nanoplates is illustrated and discussed in detail.