• 소음진동
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• 제10권2호
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• pp.353-360
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• 2000

Numerical methods are developed for calculating the natural frequencies and mode shapes of the tapered cantilever arches with variable curvature. The differential equations governing the free vibrations of such arches are derived and solved numerically, in which the effect of rotatory inertia is included. The parabolic shape is chosen as the arch with variable curvature while both the prime and quadratic arched members are considered as the tapered arch with variable curvature while both the prime and quadratic arched members are considered as the tapered arch. Comparisons the natural jfrequencies between this study and finite element method SAP 90 seve to validate the numerical method developed herein. The lowest four natural frequencies are reported as a function of four non-dimensional system parameters. The effects of both the rotatory inertia and cross-sectional shape are reported. Also, the typical mode shapes of stress resultants as well as the displacements are reported.

• 한국농공학회지
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• 제19권3호
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• pp.4462-4471
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• 1977

The governing differential equations for the tapered circular arch with fixed ends have been derived, and a numerical procedure for the solution of these equations have been developed. The governing differential equations were solved numerically by an initial value integration procedure and Shooting Methods for boundary value problems. The Rungekutta fourth order integration technique was used. The methods was programmed for a Cyber 73-18 computer System, and all esults were obtained on this computer. A detailed study has been made for a fixed arch with an angle of opening equal to 0.7 radian, and the results are presented in detail in tables and curves. It is hoped that the results presented herein is applied to the deformations of gives point from the tri-axial direction of tapered circular arch with fixed ends, bending moment, and torsional moment, and that at the same time results to be used for archwise structures in steel structure.

• 대한치과교정학회지
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• 제35권1호
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• pp.15-22
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• 2005

본 연구의 목적은 한국인 부정교합자에서 하악 치열궁간의 형태적 차이를 알아보고자 하였다. I급 114명, II급 119명, III급 135명의 부정교합자를 대상으로 하악 모형의 교합면을 복사한 후 13개의 접촉점 중에서 가장 협측면으로 위치한 부분을 digitize 하였고 각 치아의 브라켓 위치에 해당하는 점을 하악치아의 두께에 의거하여 4개의 선계측과 2개의 비율을 측정하였다. 치열궁의 형태는 square ovoid tapered형으로 분류하여 그 빈도를 조사한 결과 Angle 분류와 남녀 성별에 따른 특별한 치열궁 형태가 존재하지 않았으나 특정 치열궁 형태의 빈도는 Angle 분류에 따라 다르게 나타났다. 치열궁 크기의 계측항목에서는 대구치간 폭경에서만 남녀 성별 차이를 보였으며, 치열궁 크기에 있어서 I급과 III급. II급 부정교합군간에는 유의한 차이가 있었다 치열궁 형태의 분포는 I급과 III급 부정교합군에서는 square ovoid, tapered 형태 순이었고. II급 부정교합군은 square, tapered ovoid 형태 순이었다 치열궁 형태의 빈도분포에 있어서는 남녀간의 차이는 없었다.

• 대한치과교정학회지
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• 제34권6호
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• pp.481-487
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• 2004

본 연구의 목적은 한국인 정상교합자에서 하악치열궁의 형태적 차이를 알아보고자 하였다. 한국인 102명의 정상교합자를 대상으로 하악 모형의 교합면을 복사한 후 13개의 접촉점중에서 가장 협측으로 위치한 부분을 digitize하였고 각 치아의 브라켓위치에 해당하는점을 하악치아의 두께에 의거하여 4개의 선계측과 2개의 비율을 측정하였다. 치열궁의 형태를 square, ovoid, tapered from으로 분류하여 그 빈도를 남녀성별에 따라 비교한 결과 특이한 차이점을 보이 지 않았으나 대구치간 폭경에서는 남녀 성별의 차이를 보였다. 정상교합자에서 치열궁 형태분포는 ovoid, square, tapered순 이었고 tapered arch from은 $10\%$미만이었다. 치열궁 형태의 빈도분포에 있어서 남녀간의 차이는 없었다.

• 한국소음진동공학회논문집
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• 제20권2호
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• pp.144-152
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• 2010

This paper deals with free vibrations of the tapered circular arches with constant volume, whose cross sectional shape is the solid regular polygon. Volumes of the objective arches are always held constant regardless shape functions of the cross-sectional depth. The shape functions are chosen as the linear, parabolic and sinusoidal ones. Ordinary differential equations governing free vibrations of such arches are derived and solved numerically for determining the natural frequencies. In the numerical examples, hinged-hinged, hinged-clamped and clamped-clamped end constraints are considered. As the numerical results, the relationships between non-dimensional frequency parameters and various arch parameters such as rise ratio, section ratio, side number, volume ratio and taper type are reported in tables and figures.

• 대한치과교정학회지
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• 제41권4호
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• pp.288-296
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• 2011

Objective: The purposes of this study were to evaluate the relationship between the dental and basal arch forms; to analyze their differences in the tapered, ovoid, and square arch forms in normal occlusion by using three-dimensional (3D) virtual models; and to test the hypothesis that the overjet and maxillomandibular basal arch width difference have a significantly positive correlation. Methods: Seventy-seven normal occlusion plaster casts were examined by 3D scanning. Facial axis (FA) and WALA points were digitized using the Rapidform 2006 software. The dimensions of the dental and basal arches and the overjet were measured. The samples were classified into 3 groups according to arch forms: tapered (n = 20), ovoid (n = 20), and square (n = 37). Analysis of variance (ANOVA) was used to compare the dental and basal arch dimensions. The Pearson correlation coefficients between the intercanine as well as the intermolar widths at the FA and WALA points were calculated. Results: With regard to the basal arch dimensions, the tapered arch form showed a larger mandibular intermolar depth than the ovoid. Strong correlations were noted between the basal and dental intermolar widths in both the upper and lower arches (r = 0.83 and 0.85, respectively). Moderate correlation was found between the upper and lower intercanine widths (r = 0.65 and 0.48, respectively). Conclusions: The 3 dental arch form groups differed only in some dimensions of the skeletal arch. Moderate correlations were found between the basal and dental intercanine widths. These findings suggest that the basal arch may not be a principle factor in determining the dental arch form.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2007년도 정기 학술대회 논문집
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• pp.223-226
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• 2007

In current specification, modification factor(B) for web-tapered beam is used to account for the stress gradient and the restraining effect for adjacent spans. However, because these effects are considered together in modification factor, this paper revaluate the accuracy of the modification factor used in current specification. Also this paper investigate the flexural torsional buckling strength of laterally fixed thin-walled arch with doubly symmetric section using the analytical and numerical method. From this investigate the concept of effective length to consider the out-of-plane boundary condition for straight column or beam is not applicate for the flexural-torsional buckling of laterally fixed arches.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2003년도 춘계학술대회논문집
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• pp.846-851
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• 2003

The differential equations governing free, in-plane vibrations of non-circular arches with non-uniform cross-section, including the effects of rotatory inertia, shear deformation and axial deformation, are derived and solved numerically to obtain frequencies. The lowest four natural frequencies are calculated for the prime parabolic arches with hinged-hinged, hinged-clamped, and clamped-clamped end constraints. Three general taper types for rectangular section are considered. A wide range of arch rise to span length ratios, slenderness ratios, and section ratios are considered. The agreement with results determined by means of a finite element method is good from an engineering viewpoint.

• 대한치과교정학회지
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• 제40권5호
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• pp.334-341
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• 2010

본 연구의 목적은 한국인과 이집트인의 Angle씨 I급, II급, III급 부정교합군에서 하악치열궁의 크기와 형태적 특성을 상호 비교 분석하고자 하였다. 한국인 부정교합자 368명(114 Class I, 119 Class II, and 135 Class III)과 이집트인 부정교합자 94명(35 Class I, 32 Class II and 27 Class III)을 대상으로 하였다. 치료 전 하악 치열 모형을 복사한 사진에서 13개의 인접한 접촉면에서 가장 협측에 위치한 점들을 좌표화한 후 하악 치아의 두께 자료에 근거하여 임상브라켓 점들을 설정하였고 4개의 선 계측과 2개의 비율을 측정하였다. 치열궁 형태를 tapered, ovoid, squared의 3가지로 분류하여 두 인종 간 분포 특성에 관하여 비교하였다. 이집트인은 한국인보다 대구치 간 폭경과 견치 간 폭경이 유의성 있게 좁았으며 ($p$ < 0.001), 대구치 간 장경과 견치 간 장경이 더 짧았다 ($p$ < 0.001). 이집트인에서는 3가지의 치열궁 형태가 동등한 비율로 나타났으나 ($p$ = 0.46), 한국인에서는 square arch form (46.7%)이 가장 빈번하게 나타났고, tapered arch form이 가장 적게 나타났다(18.8%). 본 연구의 결과는 기성품의 초탄성 호선을 선택할 때 인종 간의 차이에 대한 유익한 정보를 제공할 수 있을 것으로 생각된다.

• Structural Engineering and Mechanics
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• 제45권4호
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• pp.569-594
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• 2013

The free vibration of axially functionally graded tapered arches including shear deformation and rotatory inertia are studied through solving the governing differential equation of motion. Numerical results are presented for circular, parabolic, catenary, elliptic and sinusoidal arches with hinged-hinged, hinged-clamped and clamped-clamped end restraints. In this study Differential Quadrature element of lowest order (DQEL) or Lagrangian Interpolation technique is applied to solve the problems. Three general taper types for rectangular section are considered. The lowest four natural frequencies are calculated and compared with the published results.