Chapter6.DynamicsofParticlesystem6.6Impact碰撞.ppt

2005年12月5日 8:00-9:50 Chapter 6. Dynamics of particle systems Mechanics Chapter 6. Dynamics of Particle system 6.6 Impact 碰撞 6.6 Impact Mechanics Chapter 6. Dynamics of Particle system 1. General concepts 1. General concepts 1. General concepts Mechanics Chapter 6. Dynamics of Particle system 2. Direct central impact 2. Direct central impact 2. Direct central impact 2. Direct central impact 2. Direct central impact 2. Direct central impact 2. Direct central impact 2. Direct central impact 2. Direct central impact 2. Direct central impact 2. Direct central impact 2. Direct central impact 2. Direct central impact 2. Direct central impact 2. Direct central impact 2. Direct central impact 2. Direct central impact 2. Direct central impact Mechanics Chapter 6. Dynamics of Particle system 3. Oblique central impact 3. Oblique central impact 3. Oblique central impact 3. Oblique central impact 3. Oblique central impact 3. Oblique central impact Mechanics Chapter 6. Dynamics of Particle system 4. Sample examples 4. Sample examples 4. Sample examples 4. Sample examples 4. Sample examples 4. Sample examples 4. Sample examples 4. Sample examples 4. Sample examples 4. Sample examples 4. Sample examples n Line of impact t v10 v1 v2 m1 m2 ? Special case: Before impact, m2 is at rest, v20 = 0 ?: the angle between v10 and t direction |v10|=v0 If e = 1 and m1 = m2 (perfectly elastic impact) ?the velocities of the two particles after the impact are always mutually perpendicular 6.6 Impact General concepts Direct central impact Oblique central impact Sample examples Procedure For Aanalysis ? In many impact problems, the initial velocities of the particles and the coefficient of restitution, e, are known, with the final velocities to be determined. ? Define the n-t axes. Typically, the n-axis is defined along the line of impact and the t-axis is in the plane of contact perpendicular to the n-axis. Procedure For Aanalysis ? For both direct and oblique impact problems, the followin