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力学与实践 2007
POISSON EQUATION AND FORMFINDING OF BI-DIRECTIONAL STRING STRUCTURE
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Abstract:
According to the relationship between the balanced load,the shape of bi-directional string structure and the tensions of the strings,the differential equation,Poisson equation of the curved surface of up and down string-net of bi-directional string structure,is deduced in the paper.The solution method of Poisson equation for the curved surface is obtained.The process and accuracy of the solution method are discussed through examples.The method in the paper can yield extremely accurate results and is easy to implement in engineering applications.