Galerkin solution of Winkler foundation-based irregular Kirchhoff plate model and its application in crown pillar optimization

Peng, Kang; Yin, Xu-yan; Yin, Guangzhi; Xu, Jiang; Huang, Gun; Yin, Zhiqiang

doi:10.1007/s11771-016-0375-6

Cited by 5 publications

(3 citation statements)

References 23 publications

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“…Domestic and foreign scholars have carried out a lot of experimental research on the mechanical properties of tailings sand. Peng et al 7 took the damming tailings of Xiaoda’e tailings pond as the research object, and carried out a comparative study of dynamic triaxial tests on two kinds of tailings, namely tailing silt sand and tailing silt soil. The results showed that the dynamic strength and dynamic elastic modulus of tailing silt soil were significantly lower than those of tailing silt sand.…”

Section: Introductionmentioning

confidence: 99%

Micro-structure and morphology of tailings sand under different oxidation and acidification degree

Wang

Liu

Song

et al. 2023

Sci Rep

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The tailings pond is a dangerous source of man-made debris flow with high potential energy. The oxidative acidification of tailings may cause the instability of the pond and induce serious safety accidents. The influence of oxidation and acidification degree on macro mechanical properties of tailings is discussed from the aspects of mineral composition and microstructure. The results show that as the degree of oxidation and acidification of tailings sand increases, the overall structural performance and load-bearing capacity decrease, and its cohesion (c) and internal friction angle (φ) show a decreasing trend. In fact, the engineering properties of tailings with different oxidation and acidification degrees are dominated by the physicochemical composition and structural characteristics. On the one hand, as the degree of oxidation increases, acidic substance will neutralize with CaCO3 and CaMg(CO3)2, resulting in the loss of cemented substance and the decrease of cementation force between tailing sand particles as well as the gradual destruction of the integrity of tailing sand. On the other hand, the increase of oxidation and acidification degree of tailing sand leads to a gradual reduction of outline (2D) fractal dimension and gray surface (3D) fractal dimension of surface laminated structure as well as the obvious reduction of laminated structure and its roughness of tailings sand.

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Section: Introductionmentioning

confidence: 99%

Micro-structure and morphology of tailings sand under different oxidation and acidification degree

Wang

Liu

Song

et al. 2023

Sci Rep

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“…The hypothesis of the beam is widely used, including cantilever beam theory [21,22], masonry beam theory [23,24], transfer rock beam theory [25,26], and elastic foundation beam theory [27,28]. The plate hypothesis mainly includes the thin plate theory [29,30] and the Kirchhoff plate theory [31,32].…”

Section: Introductionmentioning

confidence: 99%

Study on Overburden Fracture and Structural Distribution Evolution Characteristics of Coal Seam Mining in Deep Large Mining Height Working Face

Zhang,

Qin,

Liu

et al. 2023

Sustainability

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Coal mining has gradually entered the deep mining era, and large-height mining is an important way to mine thick coal seams in the deep. The high coal wall will inevitably make the distribution of the overburden structure in the coal mining face more complicated, and the large buried depth will also cause more intense mine pressure. The study of the distribution and evolution of the overburden structure and stress in the mining site can provide theoretical guidance for safe mining. In this work, a physical similarity modeling test was carried out based on the physical–mechanical parameters of overburden rock and similarity theory, taking the mining of a deep, large-height working face in Pingdingshan Coal Mine as an example. The results show that the deformation and breakage of overburden rock in deep, large-height workings occurring during mining is persistent and not only in a short period of time. The breakage form of overburden can be categorized into two types based on the deformation characteristics: (I) non-separation-induced type, and (II) separation-induced type. Among these, the breakage induced by separation can be divided into two categories: (i) dominated by self-weight stress, and (ii) affected by shear cracks. It also summarizes the form of the overburden structure and the structural morphology of the stope. The overburden structure shows a “combined cantilever beam structure-articulated rock-slab structure-non-articulated rock-slab structure”. Among these, the periodic breakage of the upper cantilever beam evolved articulated and non-articulated rock-slab structure in the lower part, which weakened the supporting effect of the lower gangue and further aggravated the breakage of the upper overburden rock. The shape of the main structure of the stope mainly depends on the fracture line from the advancing coal wall to the upper overburden: from a rectangular shape without collapse to a trapezoidal shape at the initial stage of collapse, to a trapezoidal shape with multiple steps after the main roof collapse.

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“…ey are the basic components in structures such as roads, bridges, and high-rise building foundations. It is critical to apply structural components in engineering practice reasonably and safely, and these concerns have attracted the attention of various academic and engineering circles [1][2][3]. To study the practical issues related to elastic foundation beams, many models of beams on elastic foundations have been proposed by scholars.…”

Section: Introductionmentioning

confidence: 99%

A Refined Model for Analysis of Beams on Two-Parameter Foundations by Iterative Method

Yue

2021

Mathematical Problems in Engineering

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It is of great significance to study the interactions between structures and supporting soils for both structural engineering and geotechnical engineering. In this paper, based on the refined two-parameter elastic foundation model, the bending problem for a finite-length beam on Gibson elastic soil is solved. The effects of axial force and soil heterogeneity on the bending behaviours and stress states of beams on elastic foundations are discussed, and the parameters of the physical model are determined reasonably. The beam and elastic foundation are treated as a single system, and the complete potential energy is obtained. Based on the principle of minimum potential energy, the governing differential equations for the beam bearing axial force on the Gibson foundation are derived, and the equations for attenuation parameters are also defined. The problem of the unknown parameters in foundation models being difficult to determine is solved by an iterative method. The results demonstrate that this calculation method is feasible and accurate, and that the applied theory is universal for the analysis of interactions between beams and elastic foundations. Both axial force and soil heterogeneity have a certain effect on the deformation and internal force of beams on elastic foundations, and the vertical elastic coefficient of foundations is mainly determined by the stiffness of the surface soil. Additionally, attenuation parameters can be obtained relatively accurately by an iterative method, and then the vertical elastic coefficient and shear coefficient can be further obtained. This research lays a foundation for the popularisation and application of the two-parameter elastic foundation model.

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Galerkin solution of Winkler foundation-based irregular Kirchhoff plate model and its application in crown pillar optimization

Cited by 5 publications

References 23 publications

Micro-structure and morphology of tailings sand under different oxidation and acidification degree

Micro-structure and morphology of tailings sand under different oxidation and acidification degree

Study on Overburden Fracture and Structural Distribution Evolution Characteristics of Coal Seam Mining in Deep Large Mining Height Working Face

A Refined Model for Analysis of Beams on Two-Parameter Foundations by Iterative Method

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