In this paper, based on the kinematic accuracy theory and matrix-based system reliability analysis\r\nmethod, a practical method for system reliability analysis of the kinematic performance of planar\r\nlinkages with correlated failure modes is proposed. The Taylor series expansion is utilized to derive\r\na general expression of the kinematic performance errors caused by random variables. A proper\r\nlimit state function performance function for reliability analysis of the kinematic performance of\r\nplanar linkages is established. Through the reliability theory and the linear programming method\r\nthe upper and lower bounds of the system reliability of planar linkages are provided. In the course\r\nof system reliability analysis, the correlation of different failure modes is considered. Finally, the\r\npracticality, efficiency, and accuracy of the proposed method are shown by a numerical example.
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