Dual-truncated wheel kibble balance and determining absolute mass

A dual-truncated wheel Kibble balance for determining absolute mass, the dual-truncated wheel Kibble balance comprising:

• a stationary frame that provides a stationary point of attachment:
• for displacement motion of a measurement mass arm and a reference force arm relative to the stationary frame, and
• for pivotal motion of a double balance wheel relative to the stationary frame;
• the double balance wheel in mechanical communication with the stationary frame at the stationary point of attachment to the stationary frame and that pivots about the stationary point of attachment to the stationary frame, such that the double balance wheel is suspended from the stationary frame by a central flexural bridge that is mechanically interposed between the double balance wheel and the stationary frame, so that the double balance wheel pivotally moves via the central flexural bridge to restore mass balance between the measurement mass arm and the reference force arm, the double balance wheel comprising:
• a lever bar disposed on and opposing the stationary frame and in pivotal communication with the stationary frame via the central flexural bridge;
• an outer truncated wheel disposed on the lever bar at an outer wheel radius and comprising:
• a first outer wheel head and a second outer wheel head, such that each outer wheel head comprises an outer peripheral radial surface arranged at the outer wheel radius;
• an inner truncated wheel disposed on the lever bar at an inner wheel radius and comprising:
• a first inner wheel head and a second inner wheel head, such that each inner wheel head comprises an inner peripheral radial surface arranged at the inner wheel radius, and the inner truncated wheel is circumscribed by the outer truncated wheel with the outer wheel radius greater than the inner wheel radius;
• the central flexural bridge in mechanical communication with the stationary frame and the double balance wheel, such that the central flexural bridge is:
• interposed between the stationary frame and the double balance wheel, interconnects the stationary frame and the double balance wheel, and flexes in response to pivotal motion of the double balance wheel relative to the stationary frame;
• a first outer connector band disposed on the first outer wheel head at the outer peripheral radial surface, such that the first outer connector band is gravitationally suspended from the first outer wheel head and mechanically interconnects the first outer wheel head and a first guide member to synchronize the rotation of the outer truncated wheel and vertical linear motion of the first guide member and constrains motion of the first outer wheel head and the first guide member to one degree of freedom;
• a second outer connector band disposed on the second outer wheel head at the outer peripheral radial surface, such that the second outer connector band is gravitationally suspended from the second outer wheel head and mechanically interconnects the second outer wheel head and a second guide member to synchronize the rotation of the outer truncated wheel and vertical linear motion of the second guide member and constrains motion of the second outer wheel head and the second guide member to one degree of freedom;
• a first inner connector band disposed on the first inner wheel head at the inner peripheral radial surface, such that the first inner connector band is gravitationally suspended from the first inner wheel head and mechanically interconnects the first inner wheel head and the first guide member to synchronize the rotation of the inner truncated wheel and vertical linear motion of the first guide member and constrains motion of the first inner wheel head and the first guide member to one degree of freedom;
• a second inner connector band disposed on the second inner wheel head at the inner peripheral radial surface, such that the second inner connector band is gravitationally suspended from the second inner wheel head and mechanically interconnects the second inner wheel head and the second guide member to synchronize the rotation of the inner truncated wheel and vertical linear motion of the second guide member and constrains motion of the second inner wheel head and the second guide member to one degree of freedom;
• the first guide member in mechanical communication with the first outer wheel head and the first inner wheel head;
• and
• the second guide member in mechanical communication with the second outer wheel head and the second inner wheel head.