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薄板弯曲问题的复合傅里叶级数方法
COMPOSITE FOURIER SERIES METHOD IN THE ANALYSIS OF THIN PLATES
【摘要】 解析方法与数值方法有效融合是提高计算效能的重要途径.提出薄板弯曲问题的复合傅里叶级数 方法.它以解析方法为融合基体,数值方法为融合增强相,是一种新的融合模式.在这种新的融合模式中,傅 里叶级数解析解作为变形场的连续表现形式,摆脱了载荷形式和边界条件的强烈依赖性,表现出良好的收敛性 态.
【Abstract】 The combination of analytic and numeric methods is an important approach to enhance computational efficiency. By employing a new pattern of combination, in which the analytic method is the basis and the numeric method is the reinforcer, the composite Fourier series method is proposed in the thin plate bending problem. This newly proposed method exhibits excellent convergence for varied loads and boundary conditions.
【关键词】 薄板弯曲问题;
解析方法;
数值方法;
融合模式;
复合傅里叶级数方法;
【Key words】 thin plates; analytic method; numeric method; combination pattern; composite Fourier series method;
【Key words】 thin plates; analytic method; numeric method; combination pattern; composite Fourier series method;
- 【文献出处】 力学与实践 ,Mechanics and Engineering , 编辑部邮箱 ,2005年02期
- 【分类号】O302
- 【被引频次】2
- 【下载频次】179