Solving Limit Values of Cylinder and Spherical Shell Adopting Yu's Unified Strength Theory

doi:10.7652/xjtuxb201803001

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Solving Limit Values of Cylinder and Spherical Shell Adopting Yu's Unified Strength Theory

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- Solving Limit Values of Cylinder and Spherical Shell Adopting Yu's Unified Strength Theory
- Vol. 52, Issue 3, Pages: 1-11(2018)
- 作者机构：
  
  三峡大学机械与动力学院,湖北,宜昌,443002
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb201803001
  CLC： TH113.1
- Online First：10 March 2018，
  
  Published：2018
- 稿件说明：
移动端阅览
Solving Limit Values of Cylinder and Spherical Shell Adopting Yu's Unified Strength Theory[J]. 2018, 52(3): 1-11.
DOI：

Solving Limit Values of Cylinder and Spherical Shell Adopting Yu's Unified Strength Theory[J]. 2018, 52(3): 1-11. DOI： 10.7652/xjtuxb201803001.

摘要

使用俞茂宏统一强度理论

获得了薄壁圆筒的弹性极限压强和最小壁厚

并根据钢管与核心混凝土的横截面面积

求解了厚壁圆筒的纵向极限承载能力; 按照俞茂宏统一强度理论

得到了球壳的弹性极限压强和最小壁厚。计算表明:对于薄壁圆筒

其弹性极限压强随中间主应力系数的增大而增大; 当中间主应力系数很小时

弹性极限压强随拉压强度比的增大而略微减小

而当中间主应力系数较大时

弹性极限压强随拉压强度比的增大而增大; 最小壁厚随中间主应力系数的增大而减小; 当中间主应力系数很小时

最小壁厚随拉压强度比的增大仅有微小的增大

而当中间主应力系数较大时

最小壁厚随拉压强度比的增大而减小。对于厚壁圆筒

增加中间主应力系数或套箍指标都将提高其纵向极限承载能力; 当中间主应力系数较小时

纵向极限承载能力随拉压强度比的增大而减小

而当中间主应力系数较大时

纵向极限承载能力随拉压强度比的增大而增大; 塑性极限内压强随径厚比的增大而逐渐降低。对于球壳

其弹性极限压强随拉压强度比的增大而减小

最小壁厚随拉压强度比的增大而增大。

Abstract

The elastic ultimate pressure and minimum wall thickness in thin-walled cylinder are attained with Yu's unified strength theory

and the longitudinal ultimate loading capacity of thick-walled cylinder is solved according to the cross section area between steel tube and central concrete. The elastic ultimate pressure and minimum wall thickness in spherical shell are obtained according to Yu's unified strength theory. Calculation reveals that: for thin-walled cylinder

the elastic ultimate pressure increases with the increase in the intermediate principal stress coefficient; when the intermediate principal stress coefficient is small

the elastic ultimate pressure decreases slightly with the increase in the tensile-to-compressive strength ratio

while when this coefficient is large

the elastic ultimate pressure increases with the increase in the tensile-to-compressible strength ratio; the minimum wall thickness decreases with the increase in the intermediate principal stress coefficient; when the intermediate principal stress coefficient is very small

the minimum wall thickness increases trivially with the increase in the tensile-to-compressive strength ratio

while when this coefficient is large

the minimum wall thickness decreases with the increase in the tensile-to-compressive strength ratio. For thick-walled cylinder

the longitudinal ultimate carrying capacity will improve by increasing the intermediate principal stress coefficient or confinement index; when the intermediate principal stress coefficient is relatively small

the longitudinal ultimate loading capacity decreases with the increase in the tensile-to-compressive strength ratio

while when this coefficient is relatively large

the longitudinal ultimate loading capacity increases with the increase in the tensile-to-compressive strength ratio; and the plastic ultimate inner pressure decreases gradually with the increase in the diameter-to-thickness ratio. The elastic ultimate pressure of spherical shell decreases with the increase in the tensile-to-compressive strength ratio

and its minimum wall thickness increases with the increase in the tensile-to-compressive strength ratio.

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references

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