Download PDF by Cees Oomens, Marcel Brekelmans, Frank Baaijens: Biomechanics: Concepts and Computation

By Cees Oomens, Marcel Brekelmans, Frank Baaijens

ISBN-10: 0521172969

ISBN-13: 9780521172967

ISBN-10: 0521875587

ISBN-13: 9780521875585

This can be the 1st textbook that integrates either normal and particular themes, theoretical historical past and biomedical engineering purposes, in addition to analytical and numerical ways. This quantitative procedure integrates the classical options of mechanics and computational modelling innovations, in a logical development via quite a lot of primary biomechanics ideas. on-line MATLAB-based software program in addition to examples and difficulties utilizing biomedical functions will inspire undergraduate biomedical engineering scholars to perform and try their abilities. The booklet covers issues equivalent to kinematics, equilibrium, stresses and traces, and likewise specializes in huge deformations and rotations and non-linear constitutive equations, together with visco-elastic behaviour and the behaviour of lengthy narrow fibre-like buildings. this can be the definitive textbook for college kids.

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Additional info for Biomechanics: Concepts and Computation

Example text

15(b), only the force normal to the tray will generate a moment with respect to the hand: M = dFn . In this chapter this intuitive notion of moment is formalized. 14 (a) Weight of an object on a tray (b) Loading on the hand. 15 Moment due to various forces F. 10 Definition of the moment vector A point in space may be identified by its position vector x, see for instance the three-dimensional example in Fig. 16, where O denotes the location of the origin of the Cartesian vector basis {ex , ey , ez }.

E. in negative ez -direction. In the definition of the moment vector the location of the force vector along the line-of-action is not relevant since only the magnitude of the force, the direction and the distance of the point P to the line-of-action are of interest. This is illustrated in Fig. 19. 18 Application of the corkscrew rule. 19 The moment of a force acting at point Q with respect to point P. dt , parallel to the line of action. Then, we can write for the moment M of vector F with respect to point P: M = d × F = ( dn + dt ) × F = dn × F.

14) where α is the smallest angle between the two vectors a and b, see Fig. 5 and Chapter 1 for further details on the properties of the vector inner product. 4 Bone loaded by the force vector F. The orientation of the bone is indicated by the unit vector e. 5 Definition of the angle α. e. e. α), all physical quantities that can easily be obtained. e. a · b = 0. The length of a vector satisfies |a| = a · a. e. |e| = 1), then b · e = |b| cos( α) . 16) as depicted in Fig. 6(a). If the angle α between the unit vector e and the vector b is acute, hence if α ≤ π/2, it is easy to show that this inner product is equal to the length of the vector bt , the component of b parallel to the unit vector e, see Fig.

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Biomechanics: Concepts and Computation by Cees Oomens, Marcel Brekelmans, Frank Baaijens


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