• Title/Summary/Keyword: Elastic edge support

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Forced vibrations of an elastic circular plate supported by unilateral edge lateral springs

  • Celep, Zekai;Gencoglu, Mustafa
    • Structural Engineering and Mechanics
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    • v.83 no.4
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    • pp.451-463
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    • 2022
  • The present study deals with forced vibrations of an elastic circular plate supported along its circular edge by unilateral elastic springs. The plate is assumed to be subjected to a uniformly distributed and a concentrated load. Under the combination of these loads, equations of motion are explicitly derived for static and dynamic response analyses by assuming a series of the displacement functions of time and other unknown parameters which are to be determined by employing Lagrangian functional. The approximate solution is sought by applying the Lagrange equations of motions by using the potential energy of the external forces that includes the contributions of the edge forces and the external moments, i.e., those of the effects of the boundary condition to the analysis. For the numerical treatment of the problem in the time domain, the linear acceleration procedure is adopted. The tensionless character of the support is taken into account by using an iterative process and, the coordinate functions for the displacement field are selected to partially fulfill the boundary conditions so that an acceptable approximation can be achieved faster. Numerical results are presented in the figures focusing on the nonlinearity of the problem due to the plate lift-off from the unilateral springs at the edge support.

Geometrically Linear and Non-linear Analysis of Plates and Shells Resting on Arbitrary Elastic Edge Supports (임의의 탄성 경계 지점으로 지지된 판과 쉘의 기하학적 선형 및 비선형해석)

  • Lee, Won-Hong;Han, Sung-Cheon;Park, Weon-Tae
    • Journal of the Korean Society of Hazard Mitigation
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    • v.8 no.3
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    • pp.11-21
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    • 2008
  • A linear and non-linear analysis for plates and shells with arbitrary edge supports subjected to various loading was presented. The 9-node ANS(Assumed Natural Strain) hell element was employed and the spring element, which could express an arbitrary edge support using the six degrees of freedom, was introduced. For the application of his analysis, the plates and shells with various edge supports were analyzed, and the ending behavior with these edge supports were obtained accurately. For these edge supports, particularly elastic edge support was simulated by six springs and reasonable results were obtained. The results show that the present method can be widely used to analyze the bending behavior of plates and shells with arbitrary edge conditions.

Free Vibration Analysis of Axisymmetrical Circular Plate by Using Differential Transformation Method (미분변환법을 이용한 축대칭 원판의 자유 진동 해석)

  • Shin, Young-Jae;Yun, Jong-Hak;Jy, Young-Chel;Kim, Jun-Nyen;Ferdinand, T.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11a
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    • pp.604-607
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    • 2005
  • The free vibration of solid circular plates has been studied using the differential transformation method(DTM). The effects such as mass at edge and elastic restraints have been considered. In order to avoid the singularity problem at the solid circular center two regularity conditions were applied with respect to the number of circumferential nodal line. The non-dimensional natural frequencies of the general circular plates were obtained for various boundary conditions. The results obtained by this method were compared with previous works. DTM showed fast convergency, accuracy, efficiency and validity in solving vibration problem of general circular plates.

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Anatomy of Pitanguy's Dermocartilaginous Ligament (코의 "진피연골인대"의 해부학)

  • Park, Doug John;Han, Seung-Kyu;Jeong, Seong Ho;Kim, Woo Kyung
    • Archives of Plastic Surgery
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    • v.34 no.2
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    • pp.176-180
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    • 2007
  • Purpose: Pitanguy conducted a series of anatomical studies on "dermocartilaginous ligament" of the nose. However, information on its structure is as yet insufficient, especially in terms of its origin, insertion, and relationships with surrounding tissues. In addition, some of the histologic findings described by Pitanguy are controversial. The present study was undertaken to clarify the anatomy of the "dermocartilaginous ligament". Methods: Sixteen cadaver noses were examined macroscopically and histologically to determine the presence, origin, insertion, composition, and relationship of the "dermocartilaginous ligament" with surrounding structures. Results: The structure originated from the deep layer of the transverse nasalis muscle and terminated at the caudal edge of the septal cartilage in all 16 cadavers. However, in three cadavers the insertion extended to the orbicularis oris muscle. No direct connection was found between the structure and dermis of dorsal nasal skin. The dermocartilaginous ligaments were mainly composed of a condensation of thin collagen bundles, which were interwoven and without any regular orientation. Elastic fibers were also present in small numbers, and there were few amorphous ground substances. Neither muscle fibers nor chondrocytes was identified within dermocartilaginous ligaments. Conclusion: Our macroscopic and histologic findings of the structure do not support the use of the term "dermocartilaginous ligament". According to its origin, insertion, and histologic findings, we recommend that this structure be referred to as the "median musculocartilaginous fascia".

A Study of the Physical Properties of Weft Knit Fabrics (위편조직(緯編組織)의 물성(物性)에 관한 연구(硏究))

  • Kim, In-Suk;Lee, Soon-Hong
    • Journal of Fashion Business
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    • v.2 no.4
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    • pp.93-101
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    • 1998
  • Knit products which had been limited only to underwear, recently became popularized, fashionized and highly classified covering even outer garments such as sportswear like golfwear, woman's dress, and man' s suit. As fashion cycle is getting shorter and the more a nation advanced prefers knit to woven fabrics knit industry has a very bright prospect, particularly woman's knit which is sensitive to fashion can be said as a fashion product with high value added. This study is to grasp the physical properties of stitch which are fundamental to the development of knit products. For this purpose, 2/20s of 100% wool were woven by the author of this study to basic plain stitch, rib stitch, varied transfer stitch, and float stitch on a SEMASEIKI cross knitter 7G to test the physical properties, and the result was as follows; 1. As for the relation between knit stitch and rate of extension recovery, rate of extension recovery was higher in the course direction than in the wale direction of three stitches except transfer stitch; rib stitch showed the highest rate of extension recovery in the course direction while float stitch showed the highest rate of extension recovery in the wale direction. 2. As for the relation between knit stitch and bursting strength elastic rib stitch showed higher bursting strength to indicate elasticity is an important factor of bursting strength and float stitch showed higher bursting strength too to indicate that the floating yarn on the surface plays a role of support. 3. As for the relation between knit stitch and air permeability perforated transfer stitch showed the lowest air permeability to prove that the size of perforation affects on the air permeability a great deal. 4. As for the relation between knit stitch and warmth retaining rib stitch through two lined needle bar showed the highest degree. The reason the warmth of perforated transfer stitch didn't decrease much was because the perforation wasn't big enough and content of air increased from the unevenness of the perforated parts through stitch variation. Based upon this result, each stitch can be characteristically summarized as follows; plain stitch showed a stable condition of knit cloth in four kinds of physical property test. And rib stitch is proper to tighten the edge of sleeve or clothe making use of its excellent extension recovery and to make socks for the highest bursting strength and warmth retaining. In the case of transfer stitch, seasonable designs can be taken by controlling the size of loop. Considering the pleasantness, underwear should be made of stitches with good air permeability float stitch was revealed to have color and pattern effects and a great bursting strength. This study has limitations in the aspect that it dealed with a small part of various knit stitches and the items of physical property test were not enough. The author of this study hopes that further studies would make deeper understandings about knit stitch based on more varied stitches and physical property tests ultimately to contribute to the development of fashionable designs proper to maximize the usage, function and originality.

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