Advanced Engineering DynamicsAdvanced Engineering Dynamics bridges the gap between elementary dynamics and advanced specialist applications in engineering. A uniform approach has been adopted using standard terminology and notation in several subject areas, including road vehicle stability, aircraft stability and robotics. This book begins with a reappraisal of Newtonian principles before expanding into analytical dynamics typified by the methods of Lagrange, Hamilton’s Principle and rigid body dynamics. Four distinct vehicle types (satellites, rockets, aircraft and cars) are then examined with different aspects of dynamics highlighted in each case. The dynamics of one dimensional continuous media are then discussed before the study is extended into three dimensions. Robotics is looked at in detail, forging a link between conventional dynamics and the highly specialized and distinctive approach used in robotics. The text finishes with an excursion into the Special Theory of Relativity mainly to define the boundaries of Newtonian Dynamics but also to reappraise the fundamental definitions. Through its examination of specialist applications and by highlighting the many different aspects of dynamics this text provides an excellent insight into advanced systems without restricting itself to a particular discipline. The result is essential reading for all those requiring a general understanding of the more advanced aspects of engineering dynamics. |
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a₁ acceleration angle angular velocity arbitrary assumed axis C₁ C₂ centre of mass co-ordinates coefficient components consider constant constraint equation curve D'Alembert's principle defined definition degrees of freedom direction displacement dt aq dynamics equations of motion expression F₁ fictitious forces fixed force frame function gives gravitational group velocity Hamilton's principle I₁ impact inertia integral K₁ kinetic energy Lagrange's equations Lagrangian matrix moment of inertia momentum Newton's P₁ particle plane position vector potential energy pulse r₁ radius rate of change Referring to Fig relative rigid body rotation scalar set of axes shown in Fig speed static margin strain symmetrical t₁ T₂ tensor torque transformation u₁ unit vector V₁ virtual virtual displacement wave x₁ xyz axes Z₁ Z₂ zero ди др дх