Abstract
To improve the load-carrying capacity latticed shells, an innovative optimum method based on the concept of compression line is proposed in this paper. The basic principle of this method is using the character without moment in compression line. The arc line which forms the contour line of sphere and latticed shell structures is substituted by compression line in this method. Then the latticed shell structures are in the state of compression, and the influence of bending stress reduces greatly. As a result, the load-carrying capacity of the latticed shell structure is increased. Through the geometrical nonlinear analysis of a sunflower-patterned single-layer latticed shell structure with a span of 48m, it is found that the load-carrying capacity of the single-layer latticed shell structure can be improved by 5.48%. Furthermore, the results of 84 structural analyses of single-layer or double-layer sphere and cylinder latticed shell structures show that the optimum method is right and effective. And especially, it is applicable to single-layer latticed shell structure with rise-span ratio 1/5 with the max improvement 6.4% of load-carrying capacity.
Highlights
Optimum design of the latticed shells can be divided into three levels
The load carrying capacity of the compression line latticed shell is increased by 5.48% compared with the circular arc line mesh latticed shell, but ellipse line mesh latticed shell structure just play the role as 31.48ˁ of arc line mesh latticed shell
1) Through the example analysis of the sunflower-patterned single-layer latticed shell structure with a span of 48m, it proved that the ultimate carrying capacity of the compression line latticed shell is the highest
Summary
Optimum design of the latticed shells can be divided into three levels. The first is the level of structure, which includes the macroscopical surface shape, the span, the rise, the thickness of the shells and so on. Based on the states of the research both in China and abroad, the main object of optimization is the rise-span ratio, the measurement of the grid, the thickness of the latticed shell, and the spherical or cylinder latticed shells structure are always adopted [4]-[10]. During the process of engineering practice, we noticed that the latticed shell structures are more likely to be in the full compressive stress states with no bending moment by substituting the arch line of the latticed shells into the compression line. From which it can increase the ultimate bearing capacity. We proposed an optimum method for latticed shells based on concept of the compression line
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