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Estimation of Mass Moment of Inertia of Human Body, when Bending. Altercam crack. 167 Journal of Engineering Science and Technology February 2016, Vol. 11(2) Nomenclatures I Mass Moment of Inertia of the body/segments, kg m 2 k Radius of gyration of the segments, m L Length of the segments, m M Mass of the body /segment, kg r Distance between COG of each segment and COG TORSO, m.

1. BOWEN, R. M., Introduction to Continuum Mechanics for Engineers, Plenum, New York, 1989. Appendix A presents a parallel development of the elements of tensor algebra in notation similar to that used here. The principal values and vectors for a tensor and the Cayley-Hamilton theorem also are discussed there.zbMATHGoogle Scholar
2. BUCK, R. C, Advanced Calculus, 2nd Edition, McGraw-Hill, New York, 1965. The method of Lagrange multipliers is described in Chapter 6.zbMATHGoogle Scholar
3. GREENWOOD, D. T., Principles of Dynamics, Prentice-Hall, Englewood Cliffs, New Jersey, 1965. This intermediate level text is a good source for general collateral study. Some subtle aspects of the momental ellipsoid and its relation to the body are discussed in Chapter 7.Google Scholar
4. KANE, T. R., Dynamics, Holt, Reinhart and Winston, New York, 1968. Moments of inertia are nicely described in Chapter 3 as the components of both the second moment vector (See Problem 9.2.) and also as dyadic (tensor) components. Some further examples may be found here and in Kane’s earlier work Analytical Elements of Mechanics, Vol. 1, Dynamics, Academic, New York, 1961.zbMATHGoogle Scholar
5. ROSENBERG, R. M., Analytical Dynamics of Discrete Systems, Plenum, New York, 1977. The moment of inertia tensor, its transformation properties, and description in terms of Cauchy’s ellipsoid are presented in both index and expanded notation. Recommended for advanced readers.zbMATHGoogle Scholar
6. SHAMES, I. H., Engineering Mechanics, Vol. 2, Dynamics, 2nd Edition, Prentice-Hall, Englewood Cliffs, New Jersey, 1966. An alternative formulation of the properties of the inertia tensor in expanded notation is presented in Chapter 16. See also Chapter 9 of the 3rd Edition, 1980.Google Scholar
7. YEH, H., and ABRAMS, J. L, Principles of Mechanics of Solids and Fluids, Vol. 1, Particle and Rigid Body Mechanics, McGraw-Hill, New York, 1960. Chapter 11 deals with the inertia tensor mainly in expanded notation, though index notation also is used sparingly. Cauchy’s momental ellipsoid is introduced to characterize the principal moments of inertia.Google Scholar