Dynamic engineering response measuring and calculating method for reinforced concrete sheet-pile wall in collapse rockfall geological disasters
A technology for reinforced concrete and geological disasters, applied in the direction of complex mathematical operations, special data processing applications, instruments, etc., can solve the problems that are not conducive to the evaluation of the safety of pile-slab walls, and the permanent deformation of the wall cannot be obtained.
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Embodiment 1
[0148] Embodiment 1, elastic contact theory and its improvement
[0149] see figure 1 , assuming that the contact surface is a circle with radius a, thus Hertz gives a complete solution for the elastic contact of two spheres under the contact pressure P:
[0150] The contact compressive stress distribution is:
[0151]
[0152] Where: p(r) is the contact compressive stress, P is the contact pressure, and a is the contact radius. Maximum contact compressive stress p max at r=0:
[0153]
[0154] Contact deformation consists of two parts:
[0155] δ=δ 1 +δ 2 (3)
[0156] Where: δ 1 ,δ 2 are the deformations of the two contact bodies, respectively.
[0157] The relationship between contact deformation and contact area is as follows:
[0158] a 2 = Rδ (4)
[0159] In the formula: R is the equivalent radius, R 1 , R 2 is the radius of 2 spheres.
[0160] Contact pressure P, maximum contact pressure stress p max The relationship between and contact deformat...
Embodiment 2
[0176] Embodiment 2, impact force of rockfall on reinforced concrete pile-slab wall
[0177] Assuming that the falling rock is a particle moving at the speed v0, and the reinforced concrete pile-slab wall is a stationary plane, the establishment is as follows: figure 2 Computational model shown.
[0178] First, the impact velocity can be decomposed along the horizontal and vertical directions:
[0179] v x =v 0 sinθ,v y =v 0 cosθ (11)
[0180] In the formula: v 0 , v x , v y are the total impact velocity, horizontal impact velocity, and vertical impact velocity when the falling rock touches the reinforced concrete pile-slab wall; θ is the impact angle.
[0181] Since the impact damage to reinforced concrete pile-slab walls is mainly caused by horizontal impact, only the horizontal impact of falling rocks is considered here. According to Newton's second law, there are:
[0182]
[0183] In the formula: m 1 、m 2 are the mass of reinforced concrete pile-slab wall...
Embodiment 3
[0199] Embodiment 3, dynamic response of reinforced concrete pile-slab wall
[0200] Engineering practice shows that the impact force of falling rocks will cause certain damage to reinforced concrete pile-slab walls. Therefore, the Hertz contact theory considering damage will be more in line with the actual situation.
[0201] The impact force-deformation curve of reinforced concrete pile-slab wall under the impact of rockfall can be divided into three stages:
[0202] ①Stage Ⅰ: elastic loading stage at the initial stage of collision
[0203] In the initial stage of the collision, because the impact force of falling rocks on the reinforced concrete pile-slab wall is small, the deformation of the wall is relatively small, so the wall is still in a state of elastic deformation, and the contact force between the two satisfies the elastic Hertz contact theory. which is:
[0204]
[0205] Where: δ y Deformation value at which initial yielding occurs for RC pile-slab walls.
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