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By Franz Ziegler (auth.)

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1. The Velocity Diagram of Plane Motion The velocity and acceleration field of a rigid body in planar motion is easily determined by graphic methods. The velocity state is subsequently considered. The instant scaled plane configuration is drawn first; see, eg Fig. 9 . Assuming that v1 of the point Pl and the action line of a second velocity, say, of point P2 , ar~ given renders the velocity field at time t. The velocity-center G in the configurational plane is determined by the intersection of the normals to the velocities of P1 and P2 .

Assuming that v1 of the point Pl and the action line of a second velocity, say, of point P2 , ar~ given renders the velocity field at time t. The velocity-center G in the configurational plane is determined by the intersection of the normals to the velocities of P1 and P2 . The image of G is the origin G' of the velocity plane. In addition to the length scale of the configurational plane, a scale for the speed in the velocity plane is selected. Velocity vectors are attached on G' like the common radius vectors; hence, V1 can be drawn.

The velocity of B, in general, does not vanish. 3. Kinematics of Deformable Bodies The displacement vector field u maps the initial (undeformed) configuration into the instant one, point by point, and thus determines the configuration of the deformed body in a reference space. The deformation state of the body is defined by considering the change of the length of an arc-element between two neighboring material points P(X, Y, Z) and O(X+dX, Y+dY, Z+dZ) in the initial state, where (d/o)2 = (dX)2 + (dy)2 + (dZ)2, and P(x, y, z) and O(x+dx, y+dy, z+dz) in the instant configuration at time t, where (d/)2 = (dx)2 + (dy)2 + (dz)2 .

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