Abstract:
To better study the issue, we presented an improved algorithm. In this algorithm, the impact issue is equivalent to a spring〖XC半字线.tif,JZ〗oscillator model which contains an oscillator, a spring and a damper. The oscillator movement represents the compression phase and restitution phase of impact. By solving the motion equation, we got the penetration displacement,penetration velocity, impact force, impact time and their mutual relationship. The solution process did not carriy out the hypothesis that the energy dissipation or absolute speed during the restitution phase is the same as that during the compression phase, which was adopted by common solution methods. Therefore we can get the exact results or approximate results that are infinitely close to the exact results. In the case of small energy dissipation during the collision, Hertzdamp model results obtaind by common solution methods are close to the exact results. When the energy dissipation during the collision is large, the difference between them becomes obvious. Regardless of small or large energy dissipation during the collision, the improved algorithm can obtain the results which are infinitely close to the exact results. 〖BP(〗Therefore, the improved algorithm has more advantages than common solution methods, especially for solving the earthquake-induced pounding problems with a large number of energy dissipation during the collision.〖BP)〗
