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带损伤平面桁架结构位移解析
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科技导报 | 研究论文 2015, 33(8): 53-57
带损伤平面桁架结构位移解析
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杨怡, 杨超, 徐赫
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    华南理工大学土木与交通学院, 广州510640
Analytical study of the plane truss structure with damage
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出版时间: 2015-04-28 doi: 10.3981/j.issn.1000-7857.2015.08.008
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采用解析方法,研究了带损伤平面桁架结构的静力问题。对于含有n个子结构的平面桁架结构,建立一个与理想桁架结构等价的循环周期结构体系,对其中一个子结构建立控制方程,将杆件损伤处理为方程的荷载项,运用U 变换法对静力学方程组进行解耦,推导出各个节点位移的解析表达式。应用解析表达式分析带一个杆件损伤桁架结构的节点位移,并与无损伤时结构的解相比较,结果显示,有损伤时相关节点位移较无损伤时有所增大,且其位移变化合理,验证了解析表达式的可行性。
平面桁架结构  /  损伤  /  位移  /  解析
This paper presents an analytical static study of the plane truss with rigidity damage. Firstly, an equivalent structure with cyclic periodicity is built. The rigidity damage of the bar can be expressed as an additional loading in the governing equations of a substructure. Then, by using the U-transformation technique, the equations may be uncoupled into independent equations. The nodal displacements are solved in the analytical form. Lastly, a calculation example is taken, and the obtained nodal displacements are compared to the those of a perfect structure. It is shown that the variations of the displacements are reasonable. This paper provides a means for analyzing the influence of the rigidity damage on the plane truss structure.
plane truss structure  /  damage  /  displacement  /  analytical
杨怡, 杨超, 徐赫. 带损伤平面桁架结构位移解析. 科技导报, 2015 , 33 (8) : 53 -57 . DOI: 10.3981/j.issn.1000-7857.2015.08.008
YANG Yi, YANG Chao, XU He. Analytical study of the plane truss structure with damage[J]. Science & Technology Review, 2015 , 33 (8) : 53 -57 . DOI: 10.3981/j.issn.1000-7857.2015.08.008
2015年第33卷第8期
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doi: 10.3981/j.issn.1000-7857.2015.08.008
  • 接收时间:2015-01-06
  • 首发时间:2015-05-05
  • 出版时间:2015-04-28
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  • 收稿日期:2015-01-06
  • 修回日期:2015-03-15
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2种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)

Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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