A gas turbine engine includes a fan rotating with a fan shaft, a compressor and a turbine section. The turbine section includes a fan drive rotor driving the fan through the fan shaft. At least one bearing is between an inner static case and the fan shaft. The inner static case is cantilever mounted to static structure, and has a forward end spaced in a forward direction toward the fan rotor from a cantilever mount. A damping assembly is associated with the inner static case.