Dynamics of Rigid Multibody Systems with Clearances in the Joints∗

References

• S. B. Tuttle , Error analysis , Machine Design , 32 ( 12 ): 153 – 158 ( 1960 ).
   Google Scholar
• S. A. Kolhatkar and K. S. Yajnik , The effect of play in joints of a function-generating mechanism . Journal of Mechanisms , 5 ( 6 ): 521 – 532 ( 1970 ).
   Google Scholar
• R. E. Garrett and A. S. Hall , Effects of tolerance and clearance in linkage design. Transactions of the ASME . Journal of Engineering for Industry , 91 : 198 – 202 ( 1969 ).
   Google Scholar
• S. G. Dhande and J. Chakraborty , Analysis and synthesis of mechanical error in linkages-a stochastic approach . Transactions of the ASME. Journal of Engineering for Industry , 95 : 672 – 676 ( 1973 ).
   Google Scholar
• S. G. Dhande and J. Chakraborty , Mechanical error analysis of spatial linkages, Transactions of the ASME , Journal of Mechanics Design , 100 : 732 – 738 ( 1978 ).
   Google Scholar
• S. Dubowsky and F. Freundenstein , Dynamic analysis of mechanical systems with clearances, Part I and 11, Transactions of the ASME , Journal of Engineering for Industry , 93 : 305 – 316 ( 1971 ).
   Google Scholar
• J. K. Earles and C. L. S. Wu , Predicting the occurrence of contact loss and impact at a bearing from a zero-clearance analysis , In Proc. of 4th World IFToMM Congress, Newcastle upon Tyne . England , 1971 .
   Google Scholar
• S. L. Grant and J. N. Fawcett , Effects of clearances at the coupler-rocker bearing of a 4-bar linkage , Mechanism and Machine Theory , 14 ( 2 ): 99 – 110 ( 1979 ).
   Web of Science ®Google Scholar
• S. Dubowsky , J. M. Prentis , and R. A. Valero , On the development of criterion for the prediction of impact in the design of high-speed systems with clearances . In Proc. of 5th World IFToMM Congress , Montreal , 1979 .
   Google Scholar
• Jungkeun RheeAdnan Akay , Dynamic response of a revolute joint with clearance , Mechanism and Machine Theory ; 31 ( 1 ): 121 – 134 ( 1996 ).
   Web of Science ®Google Scholar
• H. Hahn , Mathematical modeling and computer simulation of rigid body systems including spatial joints with clearance. In Proc. CISS-First Joint Conference of International Simulation Societies , Switzerland , 261 – 267 , 1994 .
   Google Scholar
• J. J. Denavit and R. S. A. Hartenberg , Kinematic notation for lower pair mechanisms based on matrices , Journal of Engineering for Industry , 22 ( 2 ) 215 – 221 ( 1950 ).
   Google Scholar
• E. , Zakhariev , A generic numerical method for mechanical system kinematics and dynamics modeling . In Computational Methods in Mechanical Systems Mechanism Analysis, Synthesis and Optimization , NATO ASI Series, Vol. F, No. 161 , Springer-Verlag , Berlin , pp. 212 – 241 , 1998 .
   Google Scholar
• M. L. Keler , Kinematics and static including friction in single-loop mechanisms by screw calculus and dual vectors . Journal of Engineering for Industry , 95 471 – 179 ( 1973 ).
   Google Scholar
• E. V. Zakhariev , Solution of a nonlinear direct problem of multibody system dynamics , Mechanics of Machines , ll ( 3 ) 68 – 72 ( 1995 ).
   Google Scholar
• E. J. Haug , S. C. Wu , and S. M. Yang , Dynamics of mechanical systems with coulomb friction, stiction, impact, and constraint addition-deletion-Part I theory . Mechanism and Machine Theory , 21 ( 5 ) 401 – 406 ( 1986 ).
   Web of Science ®Google Scholar
• ∗Communicated by E. J. Haug
   Google Scholar