The elastic field generated by two loads moving along two strings on an elastically supported membrane

摘要

The uniform motion of two constant loads moving in opposite directions along two infinite parallel strings on an elastically supported membrane is studied. The problem is analyzed for arbitrary ratios of the velocities of the loads and the wave velocities in the strings and the membrane. The displacements of the system are calculated and presented as deflection profiles of the strings and membrane. Further, the lateral forces are determined, acting at the strings and loads due to the interaction through the membrane. For subcritical velocities of the loads, an analogy is shown with gravitational interaction. For cases in which one of the loads moves transcritically or supercritically, the lateral force acting at the other load is shown to have an impact character. (C) 1998 Academic Press. [References: 7]