본 연구는 순수 면내모멘트를 발생시키는 선형적으로 변하는 수직응력을 받고 있는 단순지지된 마주보는 두 모서리와 자유경계를 가지는 직사각형 판의 자유진동과 좌굴의 엄밀해를 구하...
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https://www.riss.kr/link?id=A100249977
2006
Korean
539
KCI등재후보
학술저널
81-92(12쪽)
0
0
상세조회0
다운로드국문 초록 (Abstract)
본 연구는 순수 면내모멘트를 발생시키는 선형적으로 변하는 수직응력을 받고 있는 단순지지된 마주보는 두 모서리와 자유경계를 가지는 직사각형 판의 자유진동과 좌굴의 엄밀해를 구하...
본 연구는 순수 면내모멘트를 발생시키는 선형적으로 변하는 수직응력을 받고 있는 단순지지된 마주보는 두 모서리와 자유경계를 가지는 직사각형 판의 자유진동과 좌굴의 엄밀해를 구하였다. 정현적으로 가정된 하중방향(x)으로의 변위함수는 단순지지 경계조건을 만족시키며, 평판을 지배하는 편미분 운동방정식 을 y 방향으로의 변계수를 갖는 상미분방정식으로 만든다. Frobenius법을 통하여, y방향으로의 멱급수를 가정하면 이 식을 엄밀하게 풀 수 있으며, 그 식의 합당한 계수를 구할 수 있다. 자유경계조건을 y=0과 b에 적용하면, 고유진동수와 임계좌굴모멘트를 구할 수 있는 4차의 특성행렬식이 만들어진다. 본 논문에서는 이 급수해의 수렴성이 면밀히 조사되었으며, 임계 좌굴모멘트의 수치결과와 모드형상이 주어진다. 상대적으로 정확도가 떨어지는 1차원적인 보 이론으로 구한 결과치와의 비교연구가 이루어진다. 또한 자유진동수와 모드형상 주어진다. 프와송비(v)의 변화에 따른 좌굴모멘트와 고유진동수의 변화가 도표로 주어진다.
다국어 초록 (Multilingual Abstract)
This paper presents exact solutions for the free vibrations and buckling of rectangular plates having two opposite, simply supported edges subjected to linearly varying normal stresses causing pure in-plane moments, the other two edges being free. Ass...
This paper presents exact solutions for the free vibrations and buckling of rectangular plates having two opposite, simply supported edges subjected to linearly varying normal stresses causing pure in-plane moments, the other two edges being free. Assuming displacement functions which are sinusoidal in the direction of loading (x), the simply supported edge conditions are satisfied exactly. With this the differential equation of motion for the plate is reduced to an ordinary one having variable coefficients (in y). This equation is solved exactly by assuming power series in y and obtaining its proper coefficients (the method of Frobenius). Applying the free edge boundary conditions at y=0, b yields a fourth order characteristic determinant for the critical buckling moments and vibration frequencies. Convergence of the series is studied carefully. Numerical results are obtained for the critical buckling moments and some of their associated mode shapes. Comparisons are made with known results from less accurate one-dimensional beam theory. Free vibration frequency and mode shape results are also presented. Because the buckling and frequency parameters depend upon Poisson's ratio ( V ), results are shown for 0 ≤ v ≤ 0.5, valid for isotropic materials.
참고문헌 (Reference)
1 "Vibration of Plates by The Acoustical Society of America" 1969reprinted1993
2 "Vibration and Buckling Calculations for Rectangular Plates Subject to Complicated In-Plane Stress Distributions by Using Numerical Integration in a Rayleigh-Ritz Analysis Journal of Sound and Vibration" 75 (75): 151-162, 1981
3 "Transverse Vibrations of Rectangular Plates of Non-Uniform Thickness Subjected to a Uniform State of in-Plane Stress Journal of Sound and Vibration" 151 (151): 175-180, 1991
4 "Transverse Vibration of Rectangular Plates Subjected to In-Plane Forces by a Difference Based Variational Approach International Journal of Mechanical Sciences" 32 (32): 591-599, 1990
5 "Theory of Elastic Stability" McGraw-Hill Book Company Inc. 1963
6 "The Stability of Flat Plates" 1970
7 "The Natural Frequencies on In-Plate Stressed Rectangular Plates Journal of Sound and Vibration" 98 (98): 25-34, 1985
8 "The Free Vibration of Rectangular Plates" no.3 : 1973-, 1973
9 "The Buckling and Frequency of Flexural Vibration of Rectangular Isotropic and Orthotropic Plates Using Rayleighs Method Journal of Sound and Vibration" 61 (61): 1-8, 1978
10 "Semi-Compact Steel Plates with Unilateral Restraint Subjected to Bending, Compression and Shear" 56 : 47-67, 2000
1 "Vibration of Plates by The Acoustical Society of America" 1969reprinted1993
2 "Vibration and Buckling Calculations for Rectangular Plates Subject to Complicated In-Plane Stress Distributions by Using Numerical Integration in a Rayleigh-Ritz Analysis Journal of Sound and Vibration" 75 (75): 151-162, 1981
3 "Transverse Vibrations of Rectangular Plates of Non-Uniform Thickness Subjected to a Uniform State of in-Plane Stress Journal of Sound and Vibration" 151 (151): 175-180, 1991
4 "Transverse Vibration of Rectangular Plates Subjected to In-Plane Forces by a Difference Based Variational Approach International Journal of Mechanical Sciences" 32 (32): 591-599, 1990
5 "Theory of Elastic Stability" McGraw-Hill Book Company Inc. 1963
6 "The Stability of Flat Plates" 1970
7 "The Natural Frequencies on In-Plate Stressed Rectangular Plates Journal of Sound and Vibration" 98 (98): 25-34, 1985
8 "The Free Vibration of Rectangular Plates" no.3 : 1973-, 1973
9 "The Buckling and Frequency of Flexural Vibration of Rectangular Isotropic and Orthotropic Plates Using Rayleighs Method Journal of Sound and Vibration" 61 (61): 1-8, 1978
10 "Semi-Compact Steel Plates with Unilateral Restraint Subjected to Bending, Compression and Shear" 56 : 47-67, 2000
11 "Local Buckling of Side-Plated Reinforced-Concrete Beams. I: Theoretical Study" ASCE 125 (125): 622-634, 1999
12 "Lateral Vibration of Rectangular Plates Subject to In-Plane Forces Journal of Sound and Vibration" 16 (16): 465-472, 1971
13 "Handbook of Structural Stability" Corona Publishing Company 1971
14 "Exact Solutions for the Free Vibrations of Rectangular Plates Having In-Plane Moments Acting on Two Opposite Simply Supported Edges" 273 (273): 933-948, 2004
15 "Exact Solutions for the Buckling of Rectangular Plates Having Linearly Varying In-Plane Loading on Two Opposite Simply Supported Edges" 42 (42): 4220-4238, 2005
16 "Exact Solutions for Vibration and Buckling of an SS-C-SS-C Rectangular Plate Loaded by Linearly Varying In-Plane Stresses" 44 (44): 1925-1945, 2002
17 "Buckling and Vibration of In-Plane Loaded Plates Treated by a Unified Ritz Approach Journal of Sound and Vibration" 59 (59): 1-14, 1978
18 "Buckling and Lateral Vibration of Rectangular Plates Subject to In-Plane Loads a Ritz Approach Journal of Sound and Vibration" 22 (22): 219-239, 1972
19 "Biegungs-Beulung der Rechteck-platte mit eingespanter Lngsrndern" 17 : 111-, 1936
20 "Beulwerte von Rechteckplatten mit linear vernderlichen Normalspannungen an der Querrndern und Konstanten Druckspannungen an der Lngsrndern" 34 : 347-349, 1965
21 "A Study on the Linear Elastic Stability of Mindlin Plates" 22 : 117-132, 1986
철 구조물의 부식방지를 위한 Mg-Ca 희생양극의 전기화학적 특성과 제조에 관한 연구
학술지 이력
연월일 | 이력구분 | 이력상세 | 등재구분 |
---|---|---|---|
2022 | 평가예정 | 재인증평가 신청대상 (재인증) | |
2019-01-01 | 평가 | 등재학술지 유지 (계속평가) | |
2016-01-01 | 평가 | 등재학술지 유지 (계속평가) | |
2014-10-15 | 학회명변경 | 영문명 : Korean Assocoation For Apatial Structures -> Korean Association for Spatial Structures | |
2012-01-01 | 평가 | 등재 1차 FAIL (등재유지) | |
2009-01-01 | 평가 | 등재학술지 선정 (등재후보2차) | |
2008-01-01 | 평가 | 등재후보 1차 PASS (등재후보1차) | |
2007-01-01 | 평가 | 등재후보 1차 FAIL (등재후보1차) | |
2006-09-26 | 학술지명변경 | 한글명 : 한국쉘공간구조학회지 -> 한국공간구조학회지외국어명 : JOURNAL OF THE KOREAN ASSOCIATION FOR SHELL AND SPATIAL STRUCTURES -> JOURNAL OF THE KOREAN ASSOCIATION FOR AND SPATIAL STRUCTURES | |
2006-08-16 | 학회명변경 | 한글명 : 한국쉘공간구조학회 -> 한국공간구조학회영문명 : Korean Assocoation For Shell And Apatial Structures -> Korean Assocoation For Apatial Structures | |
2005-01-01 | 평가 | 등재후보학술지 선정 (신규평가) |
학술지 인용정보
기준연도 | WOS-KCI 통합IF(2년) | KCIF(2년) | KCIF(3년) |
---|---|---|---|
2016 | 0.35 | 0.35 | 0.3 |
KCIF(4년) | KCIF(5년) | 중심성지수(3년) | 즉시성지수 |
0.28 | 0.25 | 0.527 | 0.05 |