• Journal of architectural history
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• v.32 no.5
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• pp.21-30
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• 2023

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.

• Structural Engineering and Mechanics
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• v.90 no.6
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• pp.601-610
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• 2024

Free vibration of layered conical shell frusta of thickness filled with fluid is investigated. The shell is made up of isotropic or specially orthotropic materials. Three types of thickness variations are considered, namely linear, exponential and sinusoidal along the radial direction of the conical shell structure. The equations of motion of the conical shell frusta are formulated using Love's first approximation theory along with the fluid interaction. Velocity potential and Bernoulli's equations have been applied for the expression of the pressure of the fluid. The fluid is assumed to be incompressible, inviscid and quiescent. The governing equations are modified by applying the separable form to the displacement functions and then it is obtained a system of coupled differential equations in terms of displacement functions. The displacement functions are approximated by cubic and quintics splines along with the boundary conditions to get generalized eigenvalue problem. The generalized eigenvalue problem is solved numerically for frequency parameters and then associated eigenvectors are calculated which are spline coefficients. The vibration of the shells with the effect of fluid is analyzed for finding the frequency parameters against the cone angle, length ratio, relative layer thickness, number of layers, stacking sequence, boundary conditions, linear, exponential and sinusoidal thickness variations and then results are presented in terms of tables and graphs.

• Journal of the Korean Society of Costume
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• v.60 no.7
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• pp.117-130
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• 2010

The four walls of mural paintings in Afrasiab, Samarkand, have discovered: the indian-concept east wall, the west with the paintings of envoys from a number of countries bringing in King's letters or gifts, the south describing traditional ceremony celebrating the new year, the north with a picture of a Chinese princess on board beside hunting scenes. Overall, Sogdians in Afrasiab mural paintings of 7th century had following costume codes: a very short haircut or the Turkic queue, a rather-narrow-sleeved caftan with round-neck, a belt and boots. The west wall showed various costume style of a set of envoys from countries. First, a Turkic envoy had 3-6 rows of long plaits, wearing a caftan with two lapels and a belt - interestingly, Sogdian and Turkic nobles didn't wear pochettes. Second, a Chaganiyan had a hairband on his short hair, and his colorful round-neck caftan is decorated with animal-patterned medallions and a golden belt. Third, a Chach wore a jewelled hairband, putting gaiters on his pants. Forth, a Chinese was in putou with a round-neck caftan, and with a belt and sword around his waist. Lastly, also appeared a Koguryo envoy in white putou with a double-bird-feathered crown on top, wearing a long-sleeved yellow v-neck top, a belt, narrow-cuffed pants and boots. Identical to the Sogdian statues excavated in various regions of China are the appearance of big eyes and nose -similar to the warrior stone in Korea- a hairband, and a pochette down from the waist line. During this period, white and red were considered as prevailing colors for clothing: red and yellow among Turks. The costumes of characters in Afrasiab mural paintings were preferably made with the animal-patterned, sophiscated samite Zandanachi of Sogdiana.

• Coupled systems mechanics
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• v.8 no.4
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• pp.299-313
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• 2019

The paper represents computer modeling of the deformed state of physically nonlinear transversally isotropic bodies with hole. In order to describe the anisotropy of the mechanical properties of transversally-isotropic materials a structurally phenomenological model has been used. This model allows representing the initial material in the form of the coupled isotropic materials: the basic material (binder) considered from the positions of continuum mechanics and the fiber material oriented along the anisotropy direction of the original material. It is assumed that the fibers perceive only the axial tensile-compression forces and are deformed together with the base material. To solve the problems of the theory of plasticity, simplified theories of small elastoplastic deformation have been used for a transversely-isotropic body, developed by B.E. Pobedrya. A simplified theory allows applying the theory of small elastoplastic deformations to solve specific applied problems, since in this case the fibrous medium is replaced by an equivalent transversely isotropic medium with effective mechanical parameters. The essence of simplification is that with simple stretching of composite in direction of the transversal isotropy axis and in direction perpendicular to it, plastic deformations do not arise. As a result, the intensity of stresses and deformations both along the principal axis of the transversal isotropy and along the perpendicular plane of isotropy is determined separately. The representation of the fibrous composite in the form of a homogeneous anisotropic material with effective mechanical parameters allows for a sufficiently accurate calculation of stresses and strains. The calculation is carried out under different loading conditions, keeping in mind that both sizes characterizing the fibrous material fiber thickness and the gap between the fibers-are several orders smaller than the radius of the hole. Based on the simplified theory and the finite element method, a computer model of nonlinear deformation of fibrous composites is constructed. For carrying out computational experiments, a specialized software package was developed. The effect of hole configuration on the distribution of deformation and stress fields in the vicinity of concentrators was investigated.

• Asia-pacific Journal of Multimedia Services Convergent with Art, Humanities, and Sociology
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• v.9 no.2
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• pp.481-491
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• 2019

The wall paintings of the Afrasiab Palace in Samarkand, Uzbekistan, located at the center of the Silk Road where the culture of the East and the West crossed from ancient times to the Middle Ages, have been unearthed in 1960s and attracted attention from academia. In particular, two characters wearing a Korean ancient hat (Jougwan), who were considered to be ancient Korean, were found in the western wall. The wall depicted the Coronation of King Barfuman of Sogdiana Kingdom in 7th century. It is being used as an important feed for studying the international situation and cultural characteristics at that time. This mural, which is now in the Historical Museum of Afrasiab, contain four different paintings at each side, and has its own cultural characteristics and elements. Nevertheless, there has been no development of storytelling and cultural contents using it. The purpose of this study is to find out how to develop and utilize cultural contents and characters based on the paintings of west wall of Afrasiab palace. To this end, we visited the museum and investigated the mural as well as surveyed many academic materials.

• The Korean Journal of Zoology
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• v.22 no.2
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• pp.55-66
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• 1979

Drosophila melanogaster Oregon-R had been bred in a large quantity and the crude alcohol dehydrogenase (ADH) obtained was purified and the activity of the enzyme was measured, analyzed and its patterns were examined. The results obtained are presented below: 1. Through this experiment, it was found that the specific activity of ADH of the D. melanogaster is about more than five times as strong as that of the D. mlanogaster Samarkands which was found by Jacobson et al. in 1970. 2. It was learned that the ADH isozyme patterns of this strain was found to be $ADH_1$ and $AHD_2$ in the fast form and $ADH_5$ in the slow form. 3. It was learned that, $ADH_1, ADH_2$, and $ADH_5A$ are found as the ADH patterns of crude enzyme, and that $ADH_1, ADH_5A$ and $ADH_5B$ as the ADH patterns of the purified enzyme. 4. After the isolation andpurification of $ADH_5A$ and $ADH_1$ isozymes, specfic activity of $ADH_5A$ was found to be 4,330 (units/mg) and that of $ADH_1$ to be 3,670 (units/mg), and the exact position of their zymogram on the 7% acrylamide disc gel was distinguished.