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A Study on Morphology and Size of Clinical Crown of Permanent Maxillary Molar in Korean Adult (한국 성인의 상악 대구치 임상치관의 형태와 크기에 관한 연구)

  • Cha, Kwon-Sil;Oh, Sang-Chun;Dong, Jin-Keum
    • Journal of Dental Rehabilitation and Applied Science
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    • v.16 no.2
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    • pp.79-92
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    • 2000
  • The purpose of this study was to estimate the morphology and the size of permanent maxillary molar in Korean Adult. The 100 dental college students with a normal dentition and without any dental prosthesis and severe caries were selected for this study. The subjects were taken impression to make study model. On the study model, authour three times measured those sizes and estimated morphological structures with a calipers, a Boley gauge and a protractor. The results were as follows; 1. In the maxilary first molar's clinical crown height, mesiolingual cusp height was 6.34mm, mesiobuccal cusp height was 6.05mm, distobuccal cusp height was 5.20mm. And in the maxillary second molar's clinical crown height, mesiobuccal cusp height was 5.85mm, mesiolingual cusp height was 5.71mm, distobuccal cusp height was 5.51mm, distolingual cusp height was 3.53mm. This result considered that the maxillary first molar inclined to distobuccal, and the maxillary second molar more upright than the maxillary first molar. 2. In the width of clinical crown, the maxillary first molar was 10.43mm, the maxillary second molar was 10.20mm, and the difference between the first molar's width and the second molar's width was 0.23mm. 3. The crown thickness was measured divided into mesial buccolingual half and distal buccolingual half. The mesial buccolingual half was 11.14mm, and distal buccolingual half was 10.35mm in the maxillary first molar, and in the maxilary second molar, mesial buccolingual half was 11.25mm, and distal buccolingual half was 9.72mm. This result considered that height of convergency located in mesial half of crown. 4. In the buccal groove length, total length and ratio, the maxillary first molar was 52.5%, the maxillary second molar was 50%. And the development of buccal groove in the maxillary first molar was 59% in case of the well developed buccal groove and 41% in case of the weak developed one. And frequency of buccal pit of the maxillary first molar was 12.5%. Whereas, the frequency of buccal of the well developed buccal groove in the maxillary second molar was 37% and that of the weak developed one was 63%. And frequency of buccal pit of the maxillary second molar was not seen. 5. The 3 cusp type tooth cannot be found in the maxillary first molar and the frequency of 3 cusp type tooth in the maxillary second molar was as small as 6% 6. In the case of 4 cusp type tooth, the size of distal lingual cusp molar was difference between in the maxillary first molar and in the maxillary second molar by about 1mm. 7. The intercuspal distance was similar in the maxillary first premolar and second molar. And intercuspal distanc of mesial half of the maxillary first molar and the maxillary second molar was silmillar, too. 8. The an measurement of occlusal surface in 4 cusp type tooth showed that the angle of occlusal surface between the distobuccal and mesiolingual was an obtuse angle, and the angle of occlusal surface between mesiobuccal and distolingual was an acute angle in the both cases of maxillary first and second molar. 9. The measurements of the development of Carabelli cusp showed that the frequency of the well developed one was 7% and that of the weak developed one was 56% in the maxillary first molar. And there cannot be found the well developed one and can be found 2.5% only in the case of the weak developed one in the maxillary second molar. 10. The well developed oblique ridge in the maxillary first molar showed the 100% frequency and that in the maxillary second molar showed the 85.5% frequency. The frequency of mesiomarginal ridge tubercle in the maxillary first molar was 82% and that in the maxillary second molar was 30.5%. And the frequency of distal accessory tubercle in the maxillary first molar can be seen about 19% and that in the maxillary second molar can be seen about 12%.

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Agronomic Characteristics and Seed Quality of Cowpea (Vigna unguiculata L.) Germplasm (동부 유전자원의 작물학적 특성과 종실품질)

  • Kim, Dong-Kwan;Son, Dong-Mo;Choi, Jin-Gyung;Shin, Hae-Ryong;Choi, Kyeong-Ju;Lee, Jeongran;Lee, Kyung-Dong;Rim, Yo-Sup
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.58 no.1
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    • pp.1-7
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    • 2013
  • The purpose of this study was to provide basic information for breeding cowpeas (Vigna unguiculata L.) by investigating the crop characteristics of 245 accessions of cowpea collected in Korea and abroad. All specimens flowered within 41 to 50 days (51.5%) or 51 to 60 days (43.7%) of sowing and matured 21 to 30 days (53.9%) or 31 to 40 days (23.7%) from flowering. Thus, the total time from sowing to maturity was either 71 to 80 days (26.9%) or 81 to 90 days (23.4%) for all specimens. The accessions were classified into indeterminate type (72.7%), intermediate type (25.7%) and determinate type (1.6%) based on growth; prostrate type (78.8%) and erect type (21.2%) based on plant type; heart shape (98.4%) and lanceolate (1.6%) based on leaflet shape; and purple (85.2%), white (13.6%) and light green (1.2%) based on corolla color. The accessions were classified into brown (54.7%) and yellowish brown (37.6%) based on color at pod maturity; and downward (90.6%), middle (5.7%) and standing upright (3.7%) based on pod setting position. Seed coat color varied as 25.3% were brown, 23.3% were black, and 20.8% were white. Seed shape also varied as 66.9% were egg-shaped, 24.9% were rectangular and 8.2% were kidney-shaped. Pod lengths ranged from 10.1-20.0 cm and from 20.1-30.0 cm in 89.0% and 8.6% of specimens, respectively. There were 12.1-15.0, 9.1-12.0, and 15.1-18.0 seeds per pod in 62.0%, 25.7% and 9.1% of specimens, respectively. The weight of one hundred seeds ranged from 15.1-20.0 g (37.6%) and 10.1-15.0 g (28.6%). Seed yields per plant were 100.1-200.0 g (52.7%), less than 100 g (22.9%), and 200.1-300.0 g (15.9%). The starch content in the seeds of the seven selected resources ranged from 44.1 to 57.0% while the protein content ranged from 23.3 to 27.5% with significant differences. The sucrose content ranged from 1.46 to 2.03%, also with significant differences.

Analysis of Mutant Chinese Cabbage Plants Using Gene Tagging System (Gene Tagging System을 이용한 돌연변이 배추의 분석)

  • Yu, Jae-Gyeong;Lee, Gi-Ho;Lim, Ki-Byung;Hwang, Yoon-Jung;Woo, Eun-Taek;Kim, Jung-Sun;Park, Beom-Seok;Lee, Youn-Hyung;Park, Young-Doo
    • Horticultural Science & Technology
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    • v.28 no.3
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    • pp.442-448
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    • 2010
  • The objectives of this study were to analyze mutant lines of Chinese cabbage ($Brassica$ $rapa$ ssp. $pekinensis$) using gene tagging system (plasmid rescue and inverse polymerase chain reaction) and to observe the phenotypic characteristics. Insertional mutants were derived by transferring DNA (T-DNA) of $Agrobacterium$ for functional genomics study in Chinese cabbage. The hypocotyls of Chinese cabbage 'Seoul' were used to obtain transgenic plants with $Agrobacterium$ $tumefaciens$ harboring pRCV2 vector. To tag T-DNA from the Chinese cabbage genomic DNA, plasmid rescue and inverse PCR were applied for multiple copies and single copy insertional mutants. These techniques were successfully conducted to Chinese cabbage plant with high efficiency, and as a result, T-DNA of pRCV2 vector showed distinct various integration patterns in the transgenic plant genome. The polyploidy level analysis showed the change in phenotypic characteristics of 13 mutant lines was not due to variation in somatic chromosome number. Compared with wild type, the $T_1$ progenies showed varied phenotypes, such as decreased stamen numbers, larger or smaller flowers, upright growth habit, hairless leaves, chlorosis symptoms, narrow leaves, and deeply serrated leaves. The polyploidy level analysis showed the change in phenotypic characteristics of 13 mutant lines was not due to variation in somatic chromosome number. To tag T-DNA from the Chinese cabbage genomic DNA, plasmid rescue and inverse PCR were applied for multiple copies and single copy insertional mutants. Mutants that showed distinct phenotypic difference compared to wild type with 1 copy of T-DNA by Southern blot analysis, and with 2n = 20 of chromosome number were selected. These selected mutant lines were sequenced flanking DNA, mapped genomic loci, and the genome information of the lines is being recorded in specially developed database.

Effects of Head Posture on the Rotational Torque Movement of Mandible in Patients with Temporomandibular Disorders (두경부 위치에 따른 측두하악장애환자의 하악 torque 회전운동 분석)

  • Park, Hye-Sook;Choi, Jong-Hoon;Kim, Chong-Youl
    • Journal of Oral Medicine and Pain
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    • v.25 no.2
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    • pp.173-189
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    • 2000
  • The purpose of this study was to evaluate the effect of specific head positions on the mandibular rotational torque movements in maximum mouth opening, protrusion and lateral excursion. Thirty dental students without any sign or symptom of temporomandibular disorders(TMDs) were included as a control group and 90 patients with TMDs were selected and examined by routine diagnostic procedure for TMDs including radiographs and were classified into 3 subgroups : disc displacement with reduction, disc displacement without reduction, and degenerative joint disease. Mandibular rotational torque movements were observed in four head postures: upright head posture(NHP), upward head posture(UHP), downward head posture(DHP), and forward head posture(FHP). For UHP, the head was inclined 30 degrees upward: for DHP, the head was inclined 30 degrees downward: for FHP, the head was positioned 4cm forward. These positions were adjusted with the use of cervical range-of-motion instrumentation(CROM, Performance Attainment Inc., St. Paul, U.S.A.). Mandibular rotational torque movements were monitored with the Rotate program of BioPAK system (Bioresearch Inc., WI, U.S.A.). The rotational torque movements in frontal and horizontal plane during mandibular border movement were recorded with two parameters: frontal rotational torque angle and horizontal rotational torque angle. The data obtained was analyzed by the SAS/Stat program. The obtained results were as follows : 1. The control group showed significantly larger mandibular rotational angles in UHP than those in DHP and FHP during maximum mouth opening in both frontal and horizontal planes. Disc displacement with reduction group showed significantly larger mandibular rotational angles in DHP and FHP than those in NHP during lateral excursion to the affected and non-affected sides in both frontal and horizontal planes(p<0.05). 2. Disc displacement without reduction group showed significantly larger mandibular rotational angles in FHP than those in any other head postures during maximum mouth opening as well as lateral excursion to the affected and non-affected sides in both frontal and horizontal planes. Degenerative joint disease group showed significantly larger mandibular rotational angles in FHP than those in any other head postures during maximum mouth opening, protrusion and lateral excursion in both frontal and horizontal planes(p<0.05). 3. In NHP, mandibular rotational angle of the control group was significantly larger than that of any other patient subgroups. Mandibular rotational angle of disc displacement with reduction group was significantly larger than that of disc displacement without reduction group during maximum mouth opening in the frontal plane. Mandibular rotational angle of disc displacement without reduction group was significantly larger than that of disc displacement with reduction group or degenerative joint disease group during maximum mouth opening in the horizontal plane(p<0.05). 4. In NHP, mandibular rotational angles of disc displacement without reduction group were significantly larger than those of the control group or disc displacement with reduction group during lateral excursion to the affected side in both frontal and horizontal planes. Mandibular rotational angle of disc displacement without reduction group was significantly smaller than that of the control group during lateral excursion to the non-affected side in frontal plane. Mandibular rotational angle of disc displacement without reduction group was significantly larger than that of disc displacement with reduction group during lateral excursion to the non-affected side in the horizontal plane(p<0.05). 5. In NHP, mandibular rotational angle of the control group was significantly smaller than that of disc displacement with reduction group or disc displacement without reduction group during protrusion in the frontal plane. Mandibular rotational angle of disc displacement without reduction group was significantly larger than that of the disc displacement with reduction group or degenerative joint disease group during protrusion in the horizontal plane. Mandibular rotational angle of the control group was significantly smaller than that of disc displacement without reduction group or degenerative joint disease group during protrusion in the horizontal plane(p<0.05). 6. In NHP, disc displacement without reduction group and degenerative joint disease group showed significantly larger mandibular rotational angles during lateral excursion to the affected side than during lateral excursion to the non-affected side in both frontal and horizontal planes(p<0.05). The findings indicate that changes in head posture can influence mandibular rotational torque movements. The more advanced state is a progressive stage of TMDs, the more influenced by FHP are mandibular rotational torque movements of the patients with TMDs.

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A Preliminary research on Sixth-century Wooden Buddha Images from Funan (6세기 푸난 목조불상에 대한 시론(試論))

  • Noh, Namhee
    • MISULJARYO - National Museum of Korea Art Journal
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    • v.99
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    • pp.10-29
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    • 2021
  • This paper is an introductory study of the wooden Buddha images excavated in the Mekong Delta in present-day southern Vietnam. Approximately thirty examples of wooden Buddha images have been recovered in the Mekong Delta. As they were found among the major historic sites of Funan (the first kingdom in Southeast Asia), including Oc Eo, and likely date to the sixth century, they can be regarded as the works of Funan. Similarly to stone Buddha images, these wooden examples are considered important for their demonstration of aspects of early Buddhist sculpture in Southeast Asia. Most of these Funan wooden Buddha images are presumed to have been produced around the sixth century based on radiocarbon dating and their stylistic characteristics. This paper analyzed the iconography and style of eight examples whose forms are relatively recognizable. The eight images can be divided into four types according to their postures, dress styles, and hand gestures. They all share features of the Sarnath style of the Gupta period in India as seen in their slender bodies and the outer robe that clings to the body. However, some display a South Indian style of Buddha images in their upright posture, style of wearing a monastic robe with the right shoulder exposed, and making the vitarka mudra (preaching gesture) that is often seen in Sri Lankan Buddha images. This suggests that Buddhist sculptors in Funan devised a new style by incorporating the principal styles of Indian Buddhist sculpture. Another notable feature of these Funan images is their material, namely, wood. While none of the contemporaneous Hindu sculptures discovered from the same historic sites are made of wood, numerous Buddhist sculptures are. This paper postulates that the use of wood in Buddhist sculptures was promoted for reasons beyond ease of carving. According to the Buddhist literature, the first-ever Buddha image was the so-called 'Udayana image' made out of sandalwood. This image and its story was well-known in the Southern Dynasty of China around the sixth century. Interestingly, some auspicious sandalwood images of the Buddha was believed to have been brought into the Southern Dynasty from Funan. This suggests the possibility that the legend of the Udayana image might have been known in Funan as well and resulted in the production of wooden sculptures there.

A Study on the Space Organization and Garden Language of Mongsimjae in Namwon (남원 몽심재(夢心齋)의 정원구성과 조형언어 해석)

  • Rho, Jae-hyun;Choi, Yung-hyun;Shin, Sang-sup
    • Korean Journal of Heritage: History & Science
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    • v.47 no.1
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    • pp.32-45
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    • 2014
  • In this study, the characteristics of Mongsimjae in Namwon-si, Jeollabuk-do have been researched focusing on the writings engraved in huge stones and rocks of pavilion standing beside a lotus pond and its formative languages in the garden has been interpreted as follows. Name of pavilion(堂號) Mongsimjae(夢心齋) includes a classical scholar's spirit, refusing to serve two kings and homecoming after resignation from a government office(歸去來) of Songam(松菴) Park Moonsu(朴門壽), an ancestor who has brought to the Juksan(竹山) Park's family again. A pavilion standing beside a lotus pond(蓮塘) built in the reception garden is a gardening facility symbolizing 'Yeondang(蓮堂)' Park Dongsik(朴東式) who built Mongsimjae. The bamboo hill connected to the backyard seems to be relevant to 'Juksan', the family clan of Mongsimjae's owner and this kinds of intention can be found in the bamboos in the outer garden naturally led to inside the garden through the flower beds. The purpose for the western arrangement of the main building and gate contrary to the 'chukjwamihyaug'(丑坐未向; a direction toward to the south-southwest) of the prospect of Sarangchae(guesthouse) is interpreted to naturally attract people's eyes to the pavilion standing beside a lotus pond and to mitigate the sense of closure resulting from the huge stones located in the reception garden. Also the writing engraved in the three huge stones, 'Jonsimdae(存心臺)', implies that it is a place where was selected with heart by Juksan Park family who settled down in Homsil, Namwon after 'Haengchon(杏村) Park Jaryang(朴子良)' in Yiphyangjo(入鄕祖), Namwon and 'Jeongwa(靖窩)' is interpreted as a signature representing that it is the most comfortable house where Jeongwa Park Haechang(朴海昌: 1876~1933), the third owner of Mongsimjae, has lived. The pavilion standing beside a lotus pond of the 'Bangjibangdo(方池方島; square pond and square island)' type has no lotus for now and waterside cornerstones roughly piled with broken stones naturally mitigate the slope. There are two water inflows gathering rainwater in the reception garden other than the water inflow of valley and the upper-side water inflow was built using a high waterfall method. The middle island cut into a square was designed to use in two ways, as 'island' or 'steppingstone', according to the water level and the old name of the pavilion standing beside a lotus pond was revealed as 'Cheonundam(天雲潭)' from the engraved writing located in the side of the middle island. In addition, 'Imni(臨履)', engraved writing in the finishing stone of waterside by citing a line of 'Sigyeong(詩經)', implies 'Be a upright classical scholar who pays close attention to one's own behaviors' and 'Jeongchuk(渟?)' is interpreted as a message that desires the eternal staying of the Juksan Park family's wealth. Ultimately, the writings engraved in the huge stones and rocks of the pavilion standing beside a lotus pond are interpreted as a symbol language that wishes the heaven protects and maintains the wealth of the Juksan Park family who is the owner of Mongsimjae.

A Study on Symbolism and Appreciation of Plants through 'Xianqingouji Zhongzhibu' (『한정우기(閑情偶寄)』 「종식부(種植部)」를 통해 본 식물의 상징성과 완상(玩賞) 방식)

  • Zhang, Lin;Yang, Yoo-Sun;Sung, Jong-Sang
    • Journal of the Korean Institute of Traditional Landscape Architecture
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    • v.37 no.2
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    • pp.30-39
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    • 2019
  • In this study, 27 representative plants with symbolism and appreciation were extracted from 68 plants collected in Li Yu (1611-1680)'s monograph named 'Xianqingouji Zhongzhibu'. The interpretations were as follows. First, symbolism of plants could be summarized as 1) Li Yu thought that Paeonia suffruticosa was called 'the king of flowers', not only because of its beauty, but also because of its upright character. The only flower that could compete against Paeonia suffruticosa was Paeonia lactiflora Pall.. This flower was called 'the flower prime minister' by common people. But Li Yu thought that Paeonia lactiflora Pall. should also be included in the feudal princes. 2) Prunus persica and Camellia japonica were compared to 'beautiful cheeks', and Malus spectabilis (Ait.)Borkh, Jasminum sambac, Rosa multiflora var. platyphylla, Narcissus tazetta, Papaver rhoeas were compared to 'beautiful women', expressing his love for flowers. 3) Li Yu called Nelumbo nucifera a 'gentleman in flowers' and Buxus sinica Rehd. et Wils. Cheng a 'gentleman in trees'. On the contrary, Daphne odora was compared to 'villain in flowers'. 4) Ilex integra was compared to a hermit, and Campsis grandiflora was compared to an immortal. Second, appreciation of plants could be organized by 1) Appreciation of plants required assistive tools. When going to suburb to enjoy the scenery, tents needed to be prepared. Paper screens should be used to appreciate Prunus mume in the courtyard so as to gain more elegant. Li Yu also proposed that ornamental objects should be properly placed near Orchidaceae so as to gain more elegant. 2)Li Yu took Lagerstroemia indica and Prunus armeniaca L. as examples to interpret that plants were as perceptive as animals and human beings. 3) Li Yu took Salix pierotii and Albizia julibrissin as examples to interpret that people should communicate with plants through five senses to produce resonance. And took Nelumbo nucifera and Rosa rugosa to emphasize the ornamental and practical value of plants. 4) Plants were metaphored sth. similar to them. An interesting example was Celosia cristata L. which was more like an auspicious cloud in the sky than the crest on the cock's head. To sum up, Li Yu personified plants and thought that people should communicate with plants by multi-sensory world when appreciating plants. Through this, it fully showed his love for plants. Meanwhile, Li Yu's symbolism and appreciation of plants, to some extent, reflected the elegant life of literati in the early Qing Dynasty.

A Study of collapsed conditions of the stone pagoda in Mireuk Temple Site (미륵사지석탑 붕괴상태 고찰)

  • Kim, Derk-Moon
    • Korean Journal of Heritage: History & Science
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    • v.38
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    • pp.305-327
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    • 2005
  • Although the stone pagoda in Mireuk Temple site, Iksan, Cholla Province has been collapsed long time ago, few historical record has clearly explained the reason why the pagoda was collapsed and when. The west side of the pagoda have been destroyed from top to the sixth floor and the broken or damaged stone materials have been piled up in disorder. the lower part in the west was reinforced and enclosed by a stone embankment levelled to the height of the first storey of the pagoda. With no record informing the historical fact when it was made and by whom, it is only presumed that the embankment may have been built long time ago in order to prevent remains from further destruction. In the second chapter of the study, it has been tried to restore a reasonable historical background of the pagoda based on records or comments found in literatures such as traditional poetry and essays in chronological order. The collapsed slope in the west side, just above the embankment surrounding the lower part of the pagoda, was concreted in 1915 during the Japanese colonial period. Then in 1998, the Jeollabukdo has examined the structural safety of the pagoda. The Cultural Properties Committee has decided have the concrete layer removed and moreover to take apart the whole pagoda. It is also included that the disassembled stone materials should be given proper conservation treatments before being put into the place where they were in the reassembling process. The front view of the collapsed phase of the pagoda was revealed when the concrete-covered layer was removed. A hypothesis was built that there may be as many different appearances of collapsed pagoda depending on natural causes such as earthquake, sunken foundation, flood and typhoon. In chapter three, characteristic features were classified by examining various images of pagodas destroyed by different natural reasons mentioned in historical records. The chapter four dealt with comparison and analysis on the conditions shown in the stone pagoda in Mireuk Temple site and other examples studied in advance. The result of the study revealed that though having been made higher than the ground surface, the podium or the base of the pagoda actually has been eroded by rain and water. The erosion is supposed not only to have been proceeded for a long time without break but also to have caused the first storey body stone in the west inclined to outward. It has come to a conclusion that the pagoda may have been lead to collapse when the first storey body stone, supporting the whole weight from the upper storeys, became out of upright position and lost its balance. However, no such distinctive features of structural changes shown in pagodas collapsed by natural causes like earthquake, typhoon or sunken basement, have been found in the stone pagoda in Mireuk Temple site.

A Study on the aesthetic of Calligraphy by Seok Jeon Hwang Wook (석전(石田) 황욱(黃旭)의 서예미학(書藝美學) 고찰)

  • Kim, Doyoung
    • The Journal of the Convergence on Culture Technology
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    • v.8 no.2
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    • pp.227-234
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    • 2022
  • Seok Jeon Hwang Wook (18913~1999), a descendant of a traditional literary writer in the western part of Honam, did not join the flow of modern and contemporary calligraphy and painting. And throughout his life, he enjoyed himself without losing the appearance of a scholar, immersed himself in traditional calligraphy, and gained spotlight at his late age for his original hand grabbing calligraphy. Immediately after the Korean War, all of his property was lost due to his two sons' left-wing activities, causing great pain at home. Even in the most painful and difficult time in human history, he relied on brushes, poetry, and gayageum to keep his upright scholarly spirit and national love. And beyond the pleasures of the worldly senses, he played with self-satisfaction in the 'true pleasure(大樂)' without greed. In the course of his studies, he focused on honing the fonts of Wang Hui-ji, Gu Yang-sun, An Jin-gyeong, Jo Maeng-bu, and Xin-wi and Lee Sam-man without a special teacher. In particular, he faced a crisis of having to give up his brush due to tremor that came after his 60th birthday, but he showed a strong will. He transformed it into a new style of art, such as developing hand grabbing calligraphy(握筆法) with a strong and strong energy that no one could match. From 1965 to 1983, 'right hand grabbing calligraphy' was used, and from 1984 to 1993, 'left hand grabbing calligraphy' was used. She made her name as a calligrapher widely known in 1973 (age 76) with her first solo exhibition, The Calligraphy Exhibition commemorating her 60th wedding anniversary. His writing method is naturally rough and sloppy by breaking away from the previous calligraphy methods and artificial technique, and is unfamiliar yet full of muscle. And the calm, strong and rough chuhoegsa(錐劃沙) and the heavy yet majestic ininni(印印泥) individual handwriting expressed a strange feeling and achieved original Seokjeon calligraphy that went beyond the existing calligraphy writing methods, and his indomitable calligraphy spirit was As a unique existence in the history of calligraphy, he still remains as a model.

Reliability Analysis on Stability of Armor Units for Foundation Mound of Composite Breakwaters (혼성제 기초 마운드의 피복재 안정성에 대한 신뢰성 해석)

  • Cheol-Eung Lee
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.35 no.2
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    • pp.23-32
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    • 2023
  • Probabilistic and deterministic analyses are implemented for the armor units of rubble foundation mound of composite breakwaters which is needed to protect the upright section against the scour of foundation mounds. By a little modification and incorporation of the previous empirical formulas that has commonly been applied to design the armor units of foundation mound, a new type formula of stability number has been suggested which is capable of taking into account slopes of foundation mounds, damage ratios of armor units, and incident wave numbers. The new proposed formula becomes mathematically identical with the previous empirical formula under the same conditions used in the developing process. Deterministic design have first been carried out to evaluate the minimum weights of armor units for several conditions associated with a typical section of composite breakwater. When the slopes of foundation mound become steepening and the incident wave numbers are increasing, the bigger armor units more than those from the previous empirical formula should be required. The opposite trends however are shown if the damage ratios is much more allowed. Meanwhile, the reliability analysis, which is one of probabilistic models, has been performed in order to quantitatively verify how the armor unit resulted from the deterministic design is stable. It has been confirmed that 1.2% of annual encounter probability of failure has been evaluated under the condition of 1% damage ratio of armor units for the design wave of 50 years return period. By additionally calculating the influence factors of the related random variables on the failure probability due to those uncertainties, it has been found that Hudson's stability coefficient, significant wave height, and water depth above foundation mound have sequentially been given the impacts on failure regardless of the incident wave angles. Finally, sensitivity analysis has been interpreted with respect to the variations of random variables which are implicitly involved in the formula of stability number for armor units of foundation mound. Then, the probability of failure have been rapidly decreased as the water depth above foundation mound are deepening. However, it has been shown that the probability of failure have been increased according as the berm width of foundation mound are widening and wave periods become shortening.