Abstract
In this chapter, we study the kinematics, statics and dynamics of isolated rigid bodies, which will find applications in studying the dynamics of multibody systems. With regard to kinematics, morevoer, we study both finite and infinitesimal motions, i.e., motions of a rigid body characterized by both finite and infinitesimal displacements of its points. Hence, we assume a certain level of familiarity with basic point mechanics. Furthermore, we will resort to basic linear algebra and will thus assume that the reader has been exposed to this discipline.
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References
Euler, L. 1776. “Nova methodus motum corporum rigidorum determinandi”, Novii Comentarii Academiæ Scientiarum Petropolitanæ, 20 (1775) 1776: 208–238 = Opera Omnia (2) 9: 99–125.
Halmos, P., 1974, Finite-Dimensional Vector Spaces, Springer-Verlag, New York.
Cheng, H. and Gupta, K.C., 1989, “An historical note on finite rotations”, ASME Journal of Applied Mechanics, Vol. 56, pp. 139–142.
Angeles, J. 1982. Spatial Kinematic Chains. Analysis, Synthesis, Optimization, Springer-Verlag, Berlin.
Synge, J. L. (1960) “Classical Dynamics”, in Flügge, S. (editor), Encyclopedia of Physics, Vol. III/1, Springer-Verlag, Berlin-Göttingen-Heidelberg: 1–225.
Roth, B., 1984, “Screws, motors, and wrenches that cannot be bought in a hardware store”, in Brady, M. and Pane, R. (editors), Robotics Research. The First International Symposium, the MIT Press, Cambridge (MA), pp. 679–693.
Chasles, M., 1830, “Notes sur les propriétés générales de deux corps semblables entr’eux et placés d’une manière quelconque dans l’espace, et sur le déplacement fini ou infiniment petit d’un corps solide libre”, Bull. Sci. Math. Ferrusaac, Vol. 14, pp. 321–326.
Angeles, I., 1986, “Automatic computation of the screw parameters of rigid-body motions. Part I: Finitely separated positions”, ASME J. of Dynamic Systems. Measurement, and Control, Vol. 108, No. 1, pp. 32–38.
Bottema, O. and Roth, B., 1990, Theoretical Kinematics, Dover Publications, Mineola, N.Y.
Angeles, J., 1988, Rational Kinematics, Springer-Verlag, New York.
Everett, J. D., 1875, “On a new method in statics and kinematics”, Messenger of Mathematics, Vol. 45, pp. 36–37.
Phillips J., 1990, Freedom in Machinery. Vol. 2: Screw Theory Exemplified, Cambridge University Press, Cambridge.
von Mises, R., 1924, “Motorrechnung, ein neues Hilfsmittel der Mechanik”, Z. Angewandte Mathematik und Mechanik, Vol. 4, No. 2, pp. 155–181.
Coriolis, G. G., 1835, “Mémoire sur les équations du mouvement relatif des systèmes des corps”, J. Ecole Polytechnique, 15, cahier 24: 142–154.
Wang, C.-C., 1979, Mathematical Principles of Mechanics and Electromagnetism. Part A: Analytical and Continuum Mechanics, Plenum Press, New York and London.
Huston, R. L. and Passerello, C. E., 1974, “On constraint equations—A new approach”, ASME J. Applied Mechanics, Vol. 41, pp. 1130–1131.
Hemami, H. and Weimer, F. C., 1981, “Modeling of nonholonomic dynamic systems with applications”, ASME J. Applied Mechanics, Vol. 48, pp. 177–182.
Kahaner, D., Moler, C., and Nash, S., 1989, Numerical Methods and Software. Prentice-Hall Inc., Engelwood Cliffs.
Papastavridis, J. G., 1990, “Maggi’s equations of motion and the determination of constraint reactions”, J. Guidance, Control, and Dynamics, Vol. 13, No. 2, pp. 213–220.
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© 1995 Springer-Verlag Wien
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Angeles, J., Kecskeméthy, A. (1995). Fundamentals of Rigid-Body Mechanics. In: Angeles, J., Kecskeméthy, A. (eds) Kinematics and Dynamics of Multi-Body Systems. CISM International Centre for Mechanical Sciences, vol 360. Springer, Vienna. https://doi.org/10.1007/978-3-7091-4362-9_2
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DOI: https://doi.org/10.1007/978-3-7091-4362-9_2
Publisher Name: Springer, Vienna
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