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248    CHAPTER 10 A reliable analysis method




                         in the reverse direction; and (8) returning phase in Figure 10.4g, where the dipper is
                         returned to the pit and will repeat the cycle. One loading cycle generally takes
                         40-60 s during normal operations [3].



                         3 STRUCTURAL DYNAMICS ANALYSIS METHOD OF SHOVEL
                         FRONT-END MECHANISM

                         The structural dynamics model of the shovel front-end system with all the external
                         loadings and accelerations is created using finite element method (FEM). FEM is a
                         powerful technique to apply the numerical method to solve complex engineering
                         structural problems. In the FEM, the excavator front-end components are modeled
                         as the series of finite elements interconnected by nodes with the physical properties
                         such as elasticity modulus, Poisson’s ratio, density, yield strength, and ultimate
                         tensile. For the dynamic finite element stress problem, transient dynamic analysis
                         is proposed to determine the stress-time histories of components. And equivalent
                         SRs are calculated. Figure 10.5 describes the three areas for the modeling, loading,
                         and stress analysis. The details of each area are discussed below.

                         3.1 FINITE ELEMENT MODELING OF FRONT-END STRUCTURE
                         Figure 10.6 presents the shovel front-end nonlinear FE model, where the global coor-
                         dinate O (X,Y,Z) is fixed to the ground at the revolving frame center. The front-end
                         parts are built as flexible multi-bodies, which are the boom and handle with solid







                                  Front-end FE  Flexible  Material     Boundary
                                   modelling  multibodies  properties  conditions



                                   Dynamics
                                                                        Inertia
                                   loading    Motion      Structure    loading
                                                           loading
                                              loading
                                    model
                                   Stress and            Transient
                                              Member                 Equivalent  Fatigue
                                  stress range  stress   dynamic     stress range  life
                                   calculation           analysis




                         FIGURE 10.5
                         Structural dynamics modeling and analysis procedure of shovel front-end.
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