000 01990nam a22001817a 4500
005 20240215142041.0
008 240215b |||||||| |||| 00| 0 eng d
020 _a9781107005693
082 _a531.6
_bCAR
100 _aCarlos M. Roithmayr
245 _aDynamics
_bTheory and Application of Kane's Method
_cCarlos M. Roithmayr, Dewey H. Hodges
260 _aUK
_bCambridge
_c2016
300 _a511P
505 _t1. Differentiation of vectors 2. Kinematics 3. Constraints 4. Mass distribution 5. Generalized forces 6. Constraint forces, constraint torques 7. Energy functions 8. Formulation of equations of motion 9. Extraction of information from equations of motion 10. Kinematics of orientation Problem sets Appendix I. Direction cosines as functions of orientation angles Appendix II. Kinematical differential equations in terms of orientation angles Appendix III. Inertia properties of uniform bodies
520 _aThis book is ideal for teaching students in engineering or physics the skills necessary to analyze motions of complex mechanical systems such as spacecraft, robotic manipulators, and articulated scientific instruments. Kane's method, which emerged recently, reduces the labor needed to derive equations of motion and leads to equations that are simpler and more readily solved by computer, in comparison to earlier, classical approaches. Moreover, the method is highly systematic and thus easy to teach. This book is a revision of Dynamics: Theory and Applications (1985), by T. R. Kane and D. A. Levinson, and presents the method for forming equations of motion by constructing generalized active forces and generalized inertia forces. Important additional topics include approaches for dealing with finite rotation, an updated treatment of constraint forces and constraint torques, an extension of Kane's method to deal with a broader class of nonholonomic constraint equations, and other recent advances
700 _aDewey H. Hodges
942 _2ddc
_cBK
999 _c2057
_d2057