an:01794879
Zbl 1011.74031
Dumont, Yves
Vibrations of a beam between stops: Numerical simulations and comparison of several numerical schemes
EN
Math. Comput. Simul. 60, No. 1-2, 45-83 (2002).
00086415
2002
j
74H45 74K10 74S30 65M20
viscoelastic beam; constrained vibrations; elastic beam; normal compliance condition; Signorini condition; method of lines
Summary: We present and compare different schemes used to simulate the vibrations of an elastic beam between two stops. The beam is clamped at one end to a device which may vibrate periodically. The other end is restricted to move between two stops. The contact is modeled by normal compliance condition which describes nonlinear stops and approximates Signorini condition. We use the method of lines to obtain numerical solutions.