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The rigid double-torus torsional oscillator (TO) is constructed to reduce anyelastic effects in-herent to complicate TO structures, allowing explicitprobing for a genuine supersolid signature. We investigated the frequency- andtemperature-dependent response of the rigid double-torus TO containing solid4He with 0.6 ppb 3He and 300 ppb 3He. We did not find evidence to support thefrequency-independent contribution proposed to be a property of supersolidhelium. The frequency-dependent contribution which comes from the simpleelastic effect of solid helium coupled to TO is essentially responsible for theentire response. The magnitude of the period drop is linearly proportional to${f}^{2}$, indicating that the responses observed in this TO are mostly causedby the overshoot of `soft' solid helium against the wall of the torus.Dissipation of the rigid TO is vastly suppressed compared to those of non-rigidTOs.

Frequency-dependent Study of Solid Helium-4 Contained in a Rigid Double-torus Torsional Oscillator