Abstract: A support arrangement for a platform held in suspension from an offshore frame structure which provides damping between the structures in inverse proportion to the magnitude of a seismic shock. The effects of seismic shocks on the suspended platform are mitigated by providing first and second nonlinear shock absorbers coupled laterally in first and second horizontal directions between the platform and the frame structures. The first and second shock absorbers are designed to be substantially rigid to provide stiff damping for relatively low amplitude seismic forces while providing substantially softer or less rigid damping for relatively high amplitude seismic forces, such that the suspended load is able to move relatively freely in all horizontal directions when it is subjected to relatively severe seismic shocks.