A new least-squares DQ-based method for the buckling of structures with elastic supports

Stefania Tomasiello

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A new least-squares DQ-based method for the buckling of structures with elastic supports

机译：基于最小二乘DQ的新方法用于弹性支撑结构的屈曲

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This note introduces a new computational scheme based on a numerical Picard-like method, which combines successive approximations with differential quadrature rules in order to improve the computational efficiency. Despite of its recursive nature, this scheme can generate the approximate solution in terms of operational matrices and vectors of known quantities. This allows to define explicitly an error functional which can be minimized in order to easily compute the critical load. The performance of this new scheme is examined by means of two application examples. A comparison with the available solutions is carried out, by showing that the method behaves satisfactorily.

机译：本说明介绍了一种基于数字Picard类方法的新计算方案，该方案将逐次逼近与微分正交规则相结合，以提高计算效率。尽管具有递归性质，但该方案仍可以根据运算矩阵和已知量的矢量生成近似解。这允许显式定义一个误差函数，该误差函数可以最小化以便轻松计算关键负载。通过两个应用示例来检验此新方案的性能。通过证明该方法的性能令人满意，与现有解决方案进行了比较。

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来源
《Applied Mathematical Modelling》 |2015年第9期|2809-2814|共6页
作者
Stefania Tomasiello;
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作者单位

Department of Information Engineering, Electrical Engineering and Applied Mathematics, University of Salerno, 84084 Fisciano (SA), Italy;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Differential quadrature; Picard-like methods; Buckling; Elastic restraints;

机译：差分正交;皮卡德样的方法;屈曲;弹性约束;

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专利

1. Buckling of a simply supported beam on an elastic foundation supported within its span with elastic supports. Buckling of grillages [J] . A. Z. Lokshin, V. G. Mishkevich a, L. D. Ivanov b Ships and Offshore Structures . 2008,第2期

机译：简支梁在其弹性跨度内支撑的弹性基础上的屈曲。格栅的屈曲
2. Buckling of a simply supported beam on an elastic foundation supported within its span with elastic supports. Buckling of grillages [J] . A. Z. Lokshin, V. G. Mishkevich, L. D. Ivanov Ships and offshore structures . 2008,第2期

机译：简支梁在其弹性跨度内支撑的弹性基础上的屈曲。格栅的屈曲
3. ELASTIC RESTRAINED DISTORTIONAL BUCKLING OF STEEL-CONCRETE COMPOSITE BEAMS BASED ON ELASTICALLY SUPPORTED COLUMN METHOD [J] . JI-HONG YE, WEI CHEN International journal of structural stability and dynamics . 2013,第1期

机译：基于弹性支撑柱法的钢-混凝土组合梁的弹性约束变形屈曲
4. The suggestion of analysis methods to estimate minimum strength for elastic buckling of shell structures [C] . M. Ishinabe, K. Hayashi Conference on Shell Structures: Theory and Applications . 2014

机译：分析方法的建议估算壳体结构弹性屈曲的最小强度
5. A DISCRETE ELEMENT METHOD FOR LINEAR AND NONLINEAR STRESS AND BIFURCATION PROBLEMS OF ELASTIC STRUCTURES (POST BUCKLING, INSTABILITY, RING) [D] . WU, CHUAN-WEI 1985

机译：弹性结构的线性和非线性应力与分叉问题的离散元方法（后屈曲，不稳定性，环）
6. Buckling-induced encapsulation of structured elastic shells under pressure [O] . Jongmin Shim, Claude Perdigou, Elizabeth R. Chen, 2012

机译：在压力下结构化弹性壳的屈曲诱导封装
7. PARAMETRIC STUDY OF ELASTIC BUCKLING OF SHELLS WITH REFERENCE TO GAUSSIAN CURVATURE : Part V : Buckling of Shells in Bending State : Galerkin's Method and Variational Problems of Elastic Buckling of Shells [O] . YOSHIKATSU TSUBOI 1975

机译：高斯曲率壳弹性屈曲的参数研究：第五部分：弯曲状态下壳的屈曲：Galerkin的壳体弹性屈曲的方法和变分问题

A new least-squares DQ-based method for the buckling of structures with elastic supports

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