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Smoothing strategy for corner of small curvature radius by abrasive waterjet machining

Advances in Manufacturing 2023年第3期11卷 390-406页

作者： Jian-Feng Chen Ye-Min Yuan Hang Gao Tian-Yi Zhou State Key Laboratory of High-Performance Precision Manufacturing School of Mechanical EngineeringDalian University of TechnologyDalian 116024People's Republic of China

Abrasive waterjet(AWJ)is widely applied in 2D machining as it offers high machining efficiency and low machining ***,machining a 3D surface,especially for a small curvature radius freeform surface(SCRFS),results in over-erosion of the corner,and has been one of the greatest issues of *** solve this problem,a local smoothing algorithm for SCRFS is developed by the junction of two linear segments at the corner by inserting cubic second-order b-spline to smooth the nozzle path and posture under the setting tolerance error,which is aimed to avoid over-erosion due to the change in dwell *** solutions of the smooth corner position and orientation of the nozzle path are obtained by evaluating a synchronization *** to the set tolerance error of the nozzle position and orientation,the interpolation of the smooth path of the corner meets the constraint conditions of the linear feed *** simulation and experimental results show that the proposed method is validated by the experimental results and has been applied to the integral blisk machining of an aero-engine.

关键词： 5-axis cubic b-splines Overcut Abrasive waterjet(AWJ) Corner smoothing

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Numerical treatment of benjamin-bona-Mahony-burgers equation with fourth-order improvised b-spline collocation method

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Journal of Ocean Engineering and Science 2022年第2期7卷 99-111页

作者： Shallu V.K.Kukreja Department of Mathematics SLIETLongowal148106PunjabIndia

In this work,the benjamin-bona-Mahony-burgers(bbMb)equation is solved using an improvised cubic b-spline collocation *** equation describes the propagation of small amplitude waves in a non-linear dispersive medium,in the modeling of unidirectional planar *** to the higher smoothness and sparse nature of matrices corresponding to splines,cubic b-splines are chosen as the basis function in the collocation ***,the optimal accuracy and order of convergence cannot be achieved using the standard b-spline collocation *** to overcome this,improvised cubic b-splines are formed by making posteriori corrections to cubic b-spline interpolant and its higher-order *** Crank-Nicolson scheme is used to discretize the temporal domain along with the quasilinearization process to deal with the nonlinear *** spatial domain discretization is carried out using the improvised cubic b-spline collocation method(ICSCM).The stability analysis of the technique is performed using the von-Neumann *** test problems are solved numerically and obtained results are compared with the results available in the *** aim of the paper is to show that such improvised techniques which were earlier used to solve ODEs,can be applied to solve the bbMb equation also,with excellent accuracy in results.

关键词： benjamin-bona-Mahony-burgers equation Unidirectional planar waves cubic b-splines Improvised collocation method Stability analysis von-Neumann L∞and L 2 error norms

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