Free-form surface structure form creation method considering load uncertainty
A technology for uncertain and curved surface structures, applied in the field of free-form surface structure creation, can solve problems such as difficult design and construction, unreliable robustness and reliability of free-form surface structures, and uncertain loads
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[0185] The present invention will be further explained below in conjunction with the accompanying drawings and specific embodiments. It should be understood that the following specific embodiments are only used to illustrate the present invention but not to limit the scope of the present invention.
[0186] Such as figure 2 The projection of a plane shown is a square (12m×12m) free-form surface structure, which is simply supported at four corner points. Surface thickness t = 0.1m, elastic modulus E = 3 × 1010MPa, Poisson's ratio ν = 0.2. The control points are set as figure 2 shown. The control points 6, 7, 10, and 11 of the structure respectively act vertically downward uncertain concentrated loads: the load value f = 200kN is a definite quantity; the load direction (indicated by the angle θ between the load direction and the positive direction of the Z axis) is an uncertain quantity, and obeys a normal distribution with a mean of π and a standard deviation of 0.5, deno...
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