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Calculation of minimum rock bolt force and minimum static acceleration in tetrahedral wedge stability
Published in Raj K. Singhal, Geotechnical Stability in Surface Mining, 2022
P.H.S.W. Kulatilake, K. Fuenkajorn
One of the problems encountered in rock slope engineering is the evaluation of potential sliding of a three dimensional wedge on two intersecting discontinuity planes. Usually two types of wedges are encountered in practice: (1) a wedge with two free surfaces, (2) a wedge with one free surface. In this paper the former type is dealt with.
Friction
Published in M. Rashad Islam, Md Abdullah Al Faruque, Bahar Zoghi, Sylvester A. Kalevela, Engineering Statics, 2020
M. Rashad Islam, Md Abdullah Al Faruque, Bahar Zoghi, Sylvester A. Kalevela
A wedge-shaped object that is used to force two objects apart or to force one object away from a close surface is commonly referred to as a wedge. Wedges help to create very large normal forces to move objects with relatively small input forces. The following steps are followed to analyze a wedge system: Draw the free-body diagrams of each of the wedges and any bodies the wedge will be moving. Make sure to include the applied force on the wedge, normal forces along any surfaces in contact, and friction forces along any surfaces in contact.Apply the equilibrium equations, ΣF = 0.
High-Frequency Techniques
Published in Lal Chand Godara, Handbook of Antennas in Wireless Communications, 2018
Roberto G. Rojas, Teh-Hong Lee
where ŝd is the direction of propagation of the diffracted field. The coefficient D¯¯e is the edge diffraction coefficient that plays the same role as the reflection coefficient for the GO fields. It depends on the material properties of the wedge, the wedge angle, the directions of incidence and diffraction, and the wave number k. In contrast to the GO fields, away from the shadow boundaries, the diffraction coefficient is proportional to k−1/2. Although the diffracted field can be represented in any coordinate system, the diffraction coefficient becomes much simpler when this field is represented in terms of coordinate systems fixed on the incident and diffracted rays as shown in Fig. 10.7.
Analytical solutions for two-dimensional piezoelectric quasicrystal composite wedges and spaces
Published in Mechanics of Advanced Materials and Structures, 2023
Xiang Mu, Zhiming Hu, Zhaowei Zhu, Jinming Zhang, Yang Li, Liangliang Zhang, Yang Gao
The wedge is a piece of material with V-shaped edges. As a simple machine, considerable research efforts have been devoted to the wedge. Hill et al. [21] obtained analytical solutions for the deformation of rigid frictionless wedge penetrating plastic materials. Liu and Chue [22] investigated singularities of the bi-material magnetoelectric elastic composite wedge under the anti-plane deformation. Xu and Rajapakse [23] investigated the singularity of piezoelectric composite wedges and junctions by extending Lekhnitskii's complex potential functions, and found the electric boundary conditions have an obvious effect on singularity orders. Hwu and Ting [24] discussed solutions for the general anisotropic wedge at critical wedge angles. Chen [25] explored stress singularities in anisotropic multi-material wedges and junctions, and got the singular orders by solving the eigen equation and demonstrated the effect of geometric structure and material properties on singular orders.