A Concise Introduction to Mechanics of Rigid Bodies: by L. Huang

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By L. Huang

Statics and Dynamics of inflexible Bodies offers an interdisciplinary method of mechanical engineering via a detailed overview of the statics and dynamics of inflexible our bodies, featuring a concise creation to either. This quantity bridges the space of interdisciplinary released texts linking fields like mechatronics and robotics with multi-body dynamics as a way to supply readers with a transparent route to figuring out a number of sub-fields of mechanical engineering. three-d kinematics, inflexible our bodies in planar areas and diverse vector and matrix operations are provided so one can supply a accomplished knowing of mechanics via dynamics and inflexible bodies.

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Extra resources for A Concise Introduction to Mechanics of Rigid Bodies: Multidisciplinary Engineering

Example text

A slider crank mechanism is schematically shown in Fig. 17. , determine what its angular acceleration should be in order for the piston (slider) to accelerate to the left at ˛x . The dimensions of the mechanism are shown in the figure. Set up the universe coordinate frame fU g W OX Y Z, where axes X and Y form the plane for the motion of the mechanism and axis Z is perpendicular to the plane according to the right-hand rule. The X Y plane is on the paper, and thus axis Z (denoted as a black dot) points out of the paper.

2 Position and Orientation 31 H zˆB {B} E kˆ pE β 2d OB b G 2c Z zˆA a ω1 {A} xˆB OA iˆ {U} xˆA ω2 F yˆA O X yˆB θ ˆj Y Fig. 3. As schematically shown in Fig. 8, a mechanism consists of a rod (OA OB ) and a rectangle box (EF GH ). 2 about the joint axis with the rod, xB , which goes through the center of the box. The dimensions of the rod and the box are shown in the figure. Our task is to determine the positions and orientation of all the rigid bodies and their relations as the functions of the angular displacements of the rod and the box about their rotation axes, respectively.

It has an origin OA and three axes along unit vectors xOA , yOA , and zOA . Frame fBg W OB xOB yOB zOB is attached to another body (B). It has an origin OB and three axes along unit vectors xOB , yOB , and zOB . Frames like fAg and fBg that are attached to rigid bodies are usually called body frames or simply frames. A special coordinate frame is the so-called universe frame or inertial frame of reference, fU g W OX Y Z, in which Newton’s law of motion is valid. In the context of engineering applications, the universe frame is always assumed to be fixed on the Earth and its axes are O denoted by the special base vectors iO , jO, and k.

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