Single-layer latticed shell structure with high node defect and component damage tolerance
A single-layer reticulated shell, tolerance technology, applied in the field of structure, can solve the problems of increasing the sample capacity, increasing the number of finite element calculations, and narrowing the range of defects, achieving strong structural bearing capacity, optimistic engineering application prospects, and structural stability. good performance
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experiment example 1
[0028] Experimental Example 1 Structural Bearing Capacity Test
[0029] 1.1 Mathematical model of the spiral
[0030] The Archimedes spiral is more common. In the cylindrical coordinate system (θ, r, z), the mathematical model of the curve is
[0031]
[0032] Among them, a and b are constants, a represents the distance from the starting point of the helix to the origin of the polar coordinates, and b is the value that r increases correspondingly when the helix increases by a unit angle. z is the vertical coordinate of each node, r max is the maximum radius of the helix, H is the curvature minus the vector height, and R is the curvature of the spherical surface where the helix is located.
[0033] Mathematical model of the Archimedes spiral see figure 1 .
[0034] 1.2 Spiral single-layer reticulated shell
[0035] Based on the mathematical model of the above-mentioned Archimedes spiral, combined with the structural model of reticulated shells [Reticulated Shell Sp...
experiment example 2
[0079] Experimental Example 2 Structure Tolerance to Node Defects and Component Damage
[0080] In order to verify the insensitivity of the helical single-layer reticulated dome to the joint defects, the following uses the quick and consistent defect mode method to analyze and compare the helical single-layer reticulated dome and the corresponding rib-annular single-layer reticulated dome . The dimensions of the three selected examples (5m and 30m spans) are shown in Table 3. Among them, the model helix parameter a of the 5m (30m) span is 0.5 (3), b is 1 / 20π (1.2 / π), and θ is 10 / π. The node coordinates can be determined according to formula (1), and the frequency of circular division It is 8 (48), and the number of rings is 5. The components are discrete with beam188 elements, rigidly connected to the nodes, and the periphery is a 3-direction fixed hinge support. 3 MPa.
[0081] Table 3 Parameters of stability calculation model for helical reticulated shell
[0082]
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experiment example 3
[0119] Experimental example 3 High-precision stability of high-endurance structure
[0120] 3.1 Structural model
[0121] It can be seen from the above that the helical single-layer reticulated dome is a structure with high node defect and component damage tolerance. However, the structural redundancy is not large, and the nonlinearity is strong. If the instability and failure of brittle characteristics occur, the consequences will be very unfavorable. Because the existing methods cannot satisfy the balance of accuracy and efficiency at the same time, this paper proposes a method that can accurately predict the critical load for the maximum safety of the helical single-layer reticulated shells that are subjected to certain loads and corrosion damage. A stochastic defect mode method based on response surface, the theoretical process of this method is shown in Appendix B.
[0122] The reticulated shell structure model in this section is the same as Section 3. In the stochasti...
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