Download e-book for kindle: Advanced Engineering Dynamics by H.R. Harrison and T. Nettleton (Auth.)

By H.R. Harrison and T. Nettleton (Auth.)

ISBN-10: 0340645717

ISBN-13: 9780340645710

Content material:

, Pages xi-xii
1 - Newtonian Mechanics

, Pages 1-20
2 - Lagrange's Equations

, Pages 21-45
3 - Hamilton's Principle

, Pages 46-54
4 - inflexible physique movement in 3 Dimensions

, Pages 55-84
5 - Dynamics of Vehicles

, Pages 85-124
6 - effect and One-Dimensional Wave Propagation

, Pages 125-171
7 - Waves In a 3-dimensional Elastic Solid

, Pages 172-193
8 - robotic Arm Dynamics

, Pages 194-234
9 - Relativity

, Pages 235-260

, Pages 261-271
Appendix 1 - Vectors, Tensors and Matrices

, Pages 272-280
Appendix 2 - Analytical Dynamics

, Pages 281-287
Appendix three - Curvilinear co-ordinate systems

, Pages 288-296

, Page 297

, Pages 299-301

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Extra info for Advanced Engineering Dynamics

Sample text

5) neglecting second-order terms. 6) Thus, although finite rotations do not obey the law of vector addition angular velocities do. 7) X rp/A where VA is the velocity of some reference point, co is the angular velocity and rp/g is the position vector of P relative to A. 48) we have that the linear momentum is the total mass times the velocity of the centre of mass. 8) Let us now consider the general space motion of a rigid body. 9) Lo = s ri X m i r i From Fig. 10) where p~ is the position vector of particle i relative to A.

2 Rotation If the line joining any two points changes its orientation in space then the body has suffered a rotation. If no rotation is taking place then all particles will be moving along parallel paths. If the paths are straight then the motion is described as rectilinear translation and if not the motion is curvilinear translation. From the definitions it is clear that a body can move along a circular path but there need be no rotation of the body. It follows that for any pure translational motion there is no relative motion between individual particles.

24) 1 ( ~ , miP~) - ~, miPiPi) ] The terms in the square brackets are the moment of inertia. 24) reads Lo = to. 26) Because p; = x~i + y j + z~k it follows that p~ 9i = x;. ry + ( I ) z L z where Ix~ = Z m; (y~ + z;2 ), moment of inertia about x axis lxy - -- ~, miYiXi, product moment of inertia, = Iyx lxz = - Z m~z~x~, product moment of inertia, = 1= Some texts define the product moment of inertia as the negative of the above. 28) where the symmetric square matrix [Io] is the moment of inertia matrix with respect to point O.

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Advanced Engineering Dynamics by H.R. Harrison and T. Nettleton (Auth.)

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