Download e-book for iPad: Multi-Body Dynamics: Monitoring and Simulation Techniques II by Homer Rahnejat

By Homer Rahnejat

ISBN-10: 0585490031

ISBN-13: 9780585490038

ISBN-10: 1860582583

ISBN-13: 9781860582585

This quantity brings jointly the lawsuits of the 2d overseas Symposium "Multi-body Dynamics - tracking and Simulation Techniques". This selection of paintings turns out to be useful for all these curious about the sphere of dynamics research and experimentation.

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EXAMPLE PROBLEMS Example 1: Compound pendulum colliding against rough, inelastic halfspace A compound pendulum is composed of a uniform slender bar of length L and mass M which pivots freely around a frictionless pin O. The pendulum is rotating with initial angular velocity w 0 =-0 0 n 2 before the tip strikes a rough half-space at contact point C. The position of C relative to O is rc = -rjnj - r3n3 where the unit vector n1 is parallel to the tangent plane and n3 is the common normal direction as shown in Fig.

The solution of this problem employs the normal component of impulse p = P3 as an independent variable. ) The differential of impulse at contact point C, dp = dpn1 + dp3n3 has components that are related by the AmontonsCoulomb law of friction; Hence the differential of generalized impulse is obtained as Equations of motion are obtained from (4) after recognizing that slip reverses in direction at impulse p c simultaneous with the transition from compression to restitution. After integration, one obtains the following generalized speeds as a function of normal impulse p; 21 Notice that slip reversal requires u< u = r l / r 3 ; otherwise the pendulum sticks in the compressed configuration and q1 = 0 for p > pc.

Griffith introduced the energy balance approach that is applicable for brittle materials. Irwin proposed the energy release rate and stress intensity factor approaches, which are suitable for linear elastic fracture mechanics problems. For elastic-plastic 32 problems, Wells introduced the crack tip opening displacement (CTOD) approach, Rice introduced the J integral approach, DeKoning introduced the crack tip opening angle (CTOA) approach, and Lee introduced the plastic energy approach. Each of these approaches has been proven to accurately predict the fracture process within their limitations.

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Multi-Body Dynamics: Monitoring and Simulation Techniques II by Homer Rahnejat

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