A dynamic response problem about thick-thin plate on tension -free double parameter foundation with random moving loads and problem about plate untouched foundation have been solved. From the generalized potential energy functional analysis of subsea of system about plate-foundation touching beginning

we can get subsea generalized harmonious element about solving dynamic response problem of plate on tension-free double parameter foundation with random moving loads through building and analyzing potential energy functional analysis of section about plate element

section of foundation element and section of plate-foundation element. We use method of Newmark and programme with MATLAB through iterativeness and get dynamic response value of every point in midst plane about moving loads in different instantaneous

different place. We also get the region and area of plate untouched foundation. Through numerical calculation

we can verify the method proposed

with which analyzing dynamic response problem about thick-thin plate on tension-free double parameter foundation

is effective.