三阶广义梁理论及其计算方法

赵汝江

doi:10.6052/0459-1879-14-033

三阶广义梁理论及其计算方法

doi: 10.6052/0459-1879-14-033

赵汝江

中新广州知识城建设指挥部, 广州 510555

详细信息

作者简介:
赵汝江,高级工程师,主要研究方向:薄壁型和壳体结构变形.

中图分类号: TU392.1
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- 文章访问数: 1437
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- 被引次数: 0
出版历程
- 收稿日期: 2014-06-03
- 修回日期: 2014-08-20
- 刊出日期: 2014-11-18

THIRD-ORDER GENERALISED BEAM THEORY AND CALCULATION METHOD

Zhao Rujiang

The Construction Command Center of Sino-Singapore Guangzhou Knowledge City, Guangzhou 510555, China

摘要

摘要: 一阶广义梁理论描述通过运用加入弯曲、扭转和畸变函数的普通非耦合微分方程组解决棱柱状结构行为.二阶广义梁理论,是添加上偏离力效果的微分方程. 通过引入纵向膜弯矩和膜剪应变虚功到广义梁理论系统当中,完全展开的三阶广义梁方程组将以一串大型离散迭代函数且能转化为可用于数值分析的若干切线刚度矩阵形式出现. 通过膜应力派生出三阶分项^ijrkv_σ和^ijrkv_τ并结合先进数值技术寻求全解,三阶广义梁理论提供了一种严谨和高效的数值工具用于调查薄壁结构后屈曲大变形行为.
- 薄壁结构 /
- 三阶广义梁理论 /
- 大型离散迭代函数
Abstract: First-order Generalised Beam Theory (GBT) analysis can be used to describe the behaviour of prismatic structures by using deformation functions for bending, torsion and distortion in ordinary uncoupled differential equations. In second-order GBT, the differential equations then are involved with the effect of deviating forces. By derived the virtual works of two membrane stress terms into the GBT system, we can obtain the complete expansions of the third order GBT equation in the form of a series of large discretized iterated functions, which can be converted to sets of tangent stiffness matrices for further numerical analyses. By introducing the membrane stresses as the third order terms ^ijrkv_σ and ^ijrkv_τ and using advanced numerical techniques to find a complete solution, the third-order Generalised Beam Theory becomes a rigorous and efficient numerical tool to investigate large deflection behaviours in post-buckling of thin-walled structures.
- thin-walled members /
- third-order generalised beam theory /
- large discretized iterated functions

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参考文献(18)

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