A Calculation Method for Excavation Volume of Earth Crown Shelling in Karst Depression
A calculation method and karst technology, applied in design optimization/simulation, geometric CAD, etc., can solve problems such as uneven distribution of geotechnical layers, and achieve the effect of fast and simple excavation engineering quantity and fast and simple calculation
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[0024] Embodiment 1: as Figure 1-Figure 3 As shown, a calculation method for excavation volume of karst sub-global crown shelling, with the excavation center as the origin and the vertical upward direction as the positive direction of the Z-axis, a cylindrical coordinate system is established.
[0025] It is considered that the height difference h between the original ground and the excavated ground is a function of the angle α and the radius r in cylindrical coordinates, satisfying the following formula:
[0026] h=H(α,r) (1)
[0027] Then the excavation volume can be expressed by the following formula:
[0028]
[0029]
[0030] The horizontal plane takes the origin as the center point, divides the horizontal plane into n parts according to the angle, and the angle of each part is Δα i , whose Δα i The angle between the bisector of the angle and the positive direction of the polar axis X axis α i is also a fixed value, the above formula can be rewritten as follows...
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