THE METHOD OF THE RECIPROCAL THEOREM OF FORCED VIBRATION FOR THE ELASTIC THIN RECTANGULAR PLATES(Ⅱ)——RECTANGULAR PLATES WITH TWO ADJACENT CLAMPED EDGES

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摘要 In this paper, applying the method of reciprocal theorem, we give the distributions of the amplitude of bending moments along clamped edges and the amplitude of deflections along free edges of rectangular plates with two adjacent clamped edges under harmonic distributed and concentrated loads.

作者 Fu Bao-lian Li Nong 付宝连;李农(Yanshan University,Qinhuangdao;Luoyang Technology Institute.Luoyang)

机构地区 Yanshan University Luoyang Technology Institute.Luoyang

出处《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1990年第11期1043-1054,共12页 应用数学和力学(英文版)

关键词 the method of reciprocal theorem force vibration the amplitude of bending moment the amplitude of deflection elastic thin plate

分类号 O343.2 [理学—固体力学]

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1Fu Bao-lian,Li Nong. The method of the reciprocal theorem of forced vibration for the elastic thin rectangular plates (I) — Rectangular plates with four clamped edges and with three clamped edges[J] 1989,Applied Mathematics and Mechanics(8):727～749

1Fu Bao-lian,Li Nong.THE METHOD OF THE RECIPROCAL THEOREM OF FORCED VIBRATION FOR THE ELASTIC THIN RECTANGULAR PLATES(Ⅲ)--CANTILEVER RECTANGULAR PLATES[J].Applied Mathematics and Mechanics(English Edition),1991,12(7):663-680.
2付宝连,李农.THE METHOD OF THE RECIPROCAL THEOREM OF FORCED VIBRATION FOR THE ELASTIC THIN RECTANGULAR PLATES(Ⅰ)—RECTANGULAR PLATES WITH FOUR CLAMPED EDGES AND WITH THREE CLAMPED EDGES[J].Applied Mathematics and Mechanics(English Edition),1989,10(8):727-749. 被引量：5
3范家让,丁克伟.EXACTSOLUTION OF THE THICK LAMINATED OPENCYLINDRICAL SHELLS WITH FOUR CLAMPED EDGES[J].Applied Mathematics and Mechanics(English Edition),1994,15(4):365-377.
4S. A. EFTEKHARI,A. A. JAFARI.Mixed finite element and differential quadrature method for free and forced vibration and buckling analysis of rectangular plates[J].Applied Mathematics and Mechanics(English Edition),2012,33(1):81-98. 被引量：6
5付宝连.APPLICATION OF THE METHOD OF THE RECIPROCAL THEOREM TO FINDING DISPLACEMENT SOLUTIONS OF CUBES[J].Applied Mathematics and Mechanics(English Edition),1989,10(4):309-320.
6付宝连.ON THE METHOD OF RECIPROCAL THEOREM TO FIND SOLUTIONS OF THE PLANE PROBLEMS OF ELASTICITY[J].Applied Mathematics and Mechanics(English Edition),1989,10(5):455-464.
7付宝连.THE RECIPROCAL THEOREM AND LINEAR ELASTIC VARIATIONAL PRINCIPLES[J].Applied Mathematics and Mechanics(English Edition),1989,10(3):265-270.
8赵芳欣,张瑛洁,赵祖欣,张松,俞秉义.BENDING OF UNIFORMLY LOADED RECTANGULAR PLATES WITH TWO ADJACENT EDGES CLAMPED, ONE EDGE SIMPLY SUPPORTED AND THE OTHER EDGE FREE[J].Applied Mathematics and Mechanics(English Edition),2000,21(1):119-124.
9付宝连.THE DERIVATION OF EXACT STATIC CONDITIONS AT THE CORNER POINTS FOR THE BENDING OF THICK RECTANGULAR PLATES[J].Applied Mathematics and Mechanics(English Edition),1994,15(6):595-600.
10丁皓江,李翔宇,陈伟球.Analytical solutions for a uniformly loaded circular plate with clamped edges[J].Journal of Zhejiang University-Science A(Applied Physics & Engineering),2005,6(10):1163-1168.

Applied Mathematics and Mechanics(English Edition)

1990年第11期

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THE METHOD OF THE RECIPROCAL THEOREM OF FORCED VIBRATION FOR THE ELASTIC THIN RECTANGULAR PLATES(Ⅱ)——RECTANGULAR PLATES WITH TWO ADJACENT CLAMPED EDGES

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