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《Engineering Mechanics》 1993-01
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ANALYSIS OF NONLINEAR MODEL PROBLEMS BY THE FINITE ELEMENT METHOD OF LINES --I. LARGE DEFLECTION OF MEMBRANES

Yuan Si Zhang Yiguo (Tsinghua University)  
The present investigation extends the application of the newly developed finite element method of lines (FEMOL) to nonlinear problems by solving a series of representative nonlinear model problems in a fashion of unified formulation and solution. This is the first paper in this series,and is concerned with the FEMOL solution of a geometrically nonlinear problem-- large deflection of membranes.FEMOL formulation for membranes on arbitrary domains is derived. Numerical results computed from a number of membranes of different shapes show an important property in this class of problems, i.e. the existence of a limit deformation state.The solution accuracy, reliability and efficiency exhibit that the method is highly effective and powerful for this kind of geometrically nonlinear problem.
【Fund】: 国家自然科学金基资助项目
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【References】
Chinese Journal Full-text Database 3 Hits
1 YUAN Si ZHANG Yiguo (Tsinghua University);ANALYSIS OF NONLINEAR MODEL PROBLEMS BY THE FINITE ELEMENT METHOD OF LINES--II. SHAPE OPTIMIZATION OF ELASTIC BARS IN TORSION[J];Engineering Mechanics;1993-02
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【Co-citations】
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1 Zhang Weilin (Computing Center,Anhui Institute of Architecture,Hefei,230022);STUDYING STATUS AND DEVELOPMENT OF COMPUTING MECHANICS[J];JOURNAL OF ANHUI INSTITUTE OF ARCHITECTURE;2001-02
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【Co-references】
Chinese Journal Full-text Database 10 Hits
1 LIN Xiao-chun~(1), GUO Yan-yan~( 2 ), XIANG Jian-yong~(1), ZHEN Ya-e~(2) (1. School of Technical Physics; 2. School of Science, Xidian University, Xi'an 710071, CHN);A New Device for Real Time Measurement of Thin Film Stress[J];Semiconductor Optoelectronics;2004-01
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3 Bao Shihua Zhang Yiguo(Dept. of Civil Engineering, Tsinghua University);VIBRATIONAL ANALYSIS OF TALL BUILDING FRAME-SHEAR WALL-THIN WALLED MEMBER SYSTEMS WITH FLOOR DEFORMATION CONSIDERED[J];Earthquake Engineering and Engineering Vibration;1991-03
4 Yuan Si and Zhang Yiguo(Dept. of Civil Engineering,Tsinghua University);SOLUTION OF EIGENPROBLEMS IN ODES BY STANDARD ODE SOLVERS[J];Earthquake Engineering and Engineering Vibration;1993-02
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【Secondary References】
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2 Yuan Si Zhang Yiguo (Tsinghua University);ANALYSIS OF NONLINEAR MODEL PROBLEMS BY THE FINITE ELEMENT METHOD OF LINES—Ⅳ. ELASTIC-PLASTIC TORSIN[J];Engineering Mechanics;1993-04
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