Numerical Approximation for Elastic Shell Bending Problems by Boundary Element Method

弹性壳弯曲问题的边界元法数值逼近

• 批准号: 63550421
• 负责人: TOSAKA Nobuyoshi
• 金额: $ 1.34万
• 依托单位: Nihon University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (C)
• 财政年份: 1988
• 资助国家: 日本
• 起止时间: 1988 至 1989
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-63550421/
• 关键词: Boundary Element Method; Boundary Integral Equation; Fundamental Solution; Linear Bending Problem; Displacement Method; Shallow Spherical Shell; Uniformly Distributed Load; Concentrated Load; 弾性シェル; 応力関数法; 偏平2次曲面シェル; 非偏平球形シェル; 円筒形シェル

There exist two approaches for analyzing bending problems of elastic shallow shells. One is the stress function method and the other is the displacement method. In this research we developed the boundary element solution procedure based on the displacement approach for numerical solutions of linear bending problems of elastic shallow shells.The research results obtained in this research project are summarized as follows:1. Boundary Integral Equation Formulation of Problems The boundary integral equations of the problems were derived and the related fundamental solution was constructed. 2. Proposal for Numerical Solution Procedure In order to numerically the system of boundary integral equations, we proposed an effective solution procedure with use of the constant element. 3. Performance of Numerical Calculation Numerical calculations were performed for shallow spherical shells with two kinds of curvature of simply supported or fixed boundary condition subjected to uniformly distributed or concentrated load. The results were compared with Fourier-series solutions.

分析弹性浅壳弯曲问题有两种方法。一种是应力函数法，另一种是位移法。本文提出了基于位移法的边界元求解弹性浅壳线弯曲问题数值解的方法。本研究项目获得的研究成果总结如下：1。导出了问题的边界积分方程，构造了问题的基本解。2. 为了对边界积分方程组进行数值求解，提出了一种利用常元求解的有效方法。3. 对具有简支和固定边界两种曲率的浅球壳在均布荷载和集中荷载作用下进行了数值计算。结果与傅里叶级数解进行了比较。

项目成果

N.Tosaka.S.Miyake.: Proceedings of I.A.S.S. '89. 1989.

N.Tosaka.S.Miyake.：I.A.S.S. 论文集

登坂宣好: "Integral Equation Method for Shell Bending Problems" Proceedings of Computational Mechanics '88. 23.i.1-23.i.4 (1988)

Nobuyoshi Tosaka：“壳弯曲问题的积分方程法”计算力学 88 23.i.1-23.i.4 (1988)。

登坂宣好: "Boundary Element Analysis of Shallow Spherical Shells" Proceedings of 10Years of Progress in Shell and Spatial Structures,30 Anniversary of IASS. 2. (1989)

Nobuyoshi Tosaka：“浅球壳的边界元分析”壳和空间结构 10 年进展论文集，IASS 30 周年 2。（1989 年）。

登坂宣好: "Boundary Element Analysis of Shallow Spherical Shells" Proceedings of 10 Years Of Progress in Shell and Spatial Structures,30 Anniversary of IASS. 2. (1989)

Nobuyoshi Tosaka：“浅球壳的边界元分析”壳和空间结构 10 年进展论文集，IASS 30 周年 2。（1989 年）。

三宅修平: "Boundary Element Analysis of Shallow Spherical Shell Bending Problems Describing with Displacement Vector Components" Advances in Boundary Elements. 1. 3-12 (1989)

Shuhei Miyake：“用位移矢量分量描述的浅球壳弯曲问题的边界元分析”《边界元进展》1. 3-12 (1989)。