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Keywords: nonlinear equations
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Journal Articles
Article Type: Technical Briefs
J. Mech. Des. March 2013, 135(3): 034503.
Paper No: MD-12-1227
Published Online: January 17, 2013
..., the most dangerous meshing point should be determined by the outlet portion of the worm and the relevant contact line. In accordance with the basic consideration mentioned above, a system of nonlinear equations can be derived to determine the most dangerous meshing point. The system of nonlinear equations...
Journal Articles
Article Type: Research Papers
J. Mech. Des. May 2007, 129(5): 530–537.
Published Online: May 26, 2006
... by the mean of the minimum singular value of the Jacobian, leading to the solution of two nonlinear equations due to the limb length constraint and nearly axial symmetry requirement of the kinematic performance. The results of the dimensional synthesis are given via examples. Second, note that the structure...
Journal Articles
Article Type: Research Papers
J. Mech. Des. July 2006, 128(4): 787–793.
Published Online: August 13, 2005
... produces a set of nonlinear equations that can be solved to obtain a value of the radial clearance. This value has to be machined off the rotor profile to prevent interference. A numerical example is given at the end of the paper to prove the validity of the models proposed and graphs are produced...
Journal Articles
Article Type: Technical Papers
J. Mech. Des. July 2004, 126(4): 581–592.
Published Online: August 12, 2004
... and the analysis is conducted using probabilistic methods. In this work, a new approach, based on interval analysis, is presented for the modeling and analysis of tolerances and clearances. The basic procedure of interval analysis involving solution of simultaneous nonlinear equations is described. The application...
Journal Articles
Article Type: Technical Papers
J. Mech. Des. September 2000, 122(3): 265–270.
Published Online: May 1, 1998
..., Englewood Cliffs, NJ. Dennis, J. E., and Schnabel, R. B., 1996, Numerical Methods for Unconstrained Optimization and Nonlinear Equations , Society for Industrial & Applied Mathematics, Philadelphia, PA. Wilde, D. J., 1978, Globally Optimal Design , Wiley-Interscience, New York, NY...