Comparison study of discrete singular convolution with three other traditional numerical methods for the free torsional vibration analysis of non-prismatic shafts

چکیده مقاله

In this paper, the free torsional vibration of non-prismatic shafts is investigated. The governing equation is nonlinear, so there is no general analytical solution for the problem. Using numerical techniques is efficient in such circumstances. There is a wide range of numerical methods which each one has some abilities and benefits. So, choosing the proper numerical method is important in the solution procedure. In this paper, the discrete singular convolution (DSC) which is a relatively novel numerical approach is applied for the first time. A comprehensive comparison study is carried out between the DSC and three other traditional numerical approaches, i.e. finite element (FE), second order finite difference (FD 2nd) and differential quadrature (DQ). The convergence, ability and efficiency of the DSC are evaluated in comparison with three other methods by solving several examples. The results indicate the efficiency of each method and beneficial conclusions are also given regarding the proper method for the torsional vibration analysis of non-prismatic shafts

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