机械设计外文翻译---为一个锥形螺栓发展动态模型-机械设计(编辑修改稿)

机械设计外文翻译---为一个锥形螺栓发展动态模型-机械设计(编辑修改稿)内容摘要：

Sci Res 1959。 8:278308. [17] Fischer HC. On longitudinal impact iii. Appl Sci Res 1960。 9:942. [18] Fischer HC. On longitudinal impact iv. Appl Sci Res 1960。 9:93 一 138. [19] Lin X. Numerical putation of stress waves in solids. Berlin: Akademie Verlag。 1996. [20] Ortlepp WD. Grouted rockstuds as rockburst support: a simple design approach and an effective test procedure. J South Afr Inst Min Metall 1994。 2:4763. [21 ] StPierre L. Development and validation of a dynamic model for a cone bolt anchoring system. . thesis, McGill University, Montreal, 2020. [22] Jager AJ. Two new support units for the control of rockburst damage. In: Rock support in mining and underground construction: proceedings of the international symposium on rock support, Sudbury, Canada, 1992. p. 62131. [23] Gaudreau D. Performance assessment of tendon support systems submitted to dynamic loading. . thesis, Ecole Polytechnique, Montreal, 2020. [24] Meriam JL, Iraige LG. Engineering mechanics. IVew York: Whey。 2020. [25] Timoshenko S, Young DH. Elements of strength of materials. IVew York: Van Nostrand。 1962. [26] Stronge mechanics. Cambridge: Cambridge University Press。 2020. [27] Malvar LJ. Review of static and dynamic properties of steel reinforcing bars. ACI Mater J 1998。 95:60916. [28] Hoffman JD. Numerical methods for engineers and scientists. IVew York: McGrawHill。 1992. [29] Gaudreau D, Aubertin M, Simon R. Performance assessment of tendon support systems submitted to dynamic loading. In: Ground support in mining and underground construction: proceedings of the 5th international symposium on ground support, Perth, Australia, 2020. p. 299312. Development of a dynamic model for a cone bolt To ensure safety in underground excavations, it is important that the support systems used are capable of resisting the dynamic loads produced, for example, by rock bursts. In this paper, a dynamic simulation model for a cone bolt is proposed based on an experimental study. Drop weight tests were performed on resinbased cone bolts. These experiments revealed that the bolt has two energy absorption mechanisms: sliding in the resin and plastic deformation. To simulate this behaviour, a two degreesoffreedom lumpedmass model is proposed. Experimentally, the proportions of sliding and plastic deformation were found to vary significantly from one test to another. To account for this variability, two methods are proposed to determine the value of the parameters governing the sliding of the bolt in the resin, whereas a dynamic forceelongation model is used to simulate the plastic deformation. Comparing the results of a simulation to experimental data proved that the constitutive elements of the model are appropriate to simulate the dynamic response of the cone bolt. 1. Introduction Nowadays, underground excavations can be as deep as 5000 such levels, the rock mass can be highly stressed causing an increase in the frequency and severity of rock bursts. During a rock burst of moderate to major severity, the ejected rock mass can reach velocities between 3 and 10 m/s with corresponding energy levels varying from 10 to 501cJ/mz [1].Because of the dynamic nature of these phenomena, it is important to know the dynamic behaviour of rock reinforcement elements in order to properly design the support system. To study the subject, the mechanical and mining engineering departments of McGill University are collaborating with CANMET Mining and Mineral Sciences Laboratories (MMSL) in Ottawa. The work conducted so far through this collaboration has had three main objectives: (1)to validate the testing apparatus available at CANMETMMSL, (2) to determine the influence of the testing parameters on the response and performance of a cone bolt and (3) to develop a model to simulate the dynamic behaviour of a cone bolt. The first two objectives were reported in [2,3], whereas this article focuses on the third one, ., modelling the dynamic behaviour of a cone bolt. The dynamic models proposed in the literature for rock support elements can be divided in two main categories: lumpedmass and dynamic deformation models. Thompson et al. [4] used a lumpedmass model to simulate dynamic tests based on the momentum transfer principle [5 ]. Using this principle, the rock bolt to be tested is dropped simultaneously with the loading mass. When the freefalling elements have reached the desired velocity, the anchor of the bolt is rapidly stopped and the inertia of the loading mass dynamically loads the tested reinforcing element. In their model, the loading mass, the bolt anchor and other ponents of the setup were discretized as punctual masses connected in series by springs and dampers. However, the use of springs and dampers to connect each element might not be the most appropriate choice to model each interaction, especially the bolt ploughing through the resin. A lumpedmass model was also used by Tannant et al. [6 ] to simulate the axial strain response measured in mechanically anchored rock bolts during in situ dynamic loads were produced by explosives but their magnitude was always below the yield limit of steel. On the other hand, dynamic deformation models are based on the theory of strain (or stress) waves in solids [7,8]. Yi and Kaiser [9,10] performed drop weight tests on a clamped steel rod to simulate a mechanically anchored bolt. The bolts were loaded elastically or plastically depending on the drop weight , the model developed simulates only the propagation of elastic waves [11].The duration and amplitude of the simulated strain wave were found to be in good agreement with the experimental data. In order to study the local strain distr。