text: the basis of this invention is to support the resonator structure at two points rather than one . many vibrating systems have more than one nodal region and this is shown in fig2 and 3 by way of example . using the torsional model shown in fig2 the invention is described as follows : [ 0010 ] fig2 shows a torsional resonant system consisting of two separate resonators ; one resonator is formed by an inertial mass j 1 and its associated shaft k 1 with the other formed by an inertial mass j 2 and its shaft k 2 . the two shafts are connected at their ends so that , when the resonator is tuned to the same frequency a vibrational node , is formed at the shaft junction a second vibrational node is formed at the axis of angular displacement which runs the length of the resonator structure . in practical usage , for example as a viscometer , it is desirable to expose one part of the resonator to a fluid and use the other part for electromechanical stimulation and sensing . for these purposes the inertial mass k 1 may be associated with an electromagnetic drive and a sensing circuit as described for example in my u . s . pat . nos . 6 , 450 , 013 , 5 , 363 , 691 and 5 , 670 , 709 , all of which are incorporated herein by reference , u . s . pat . no . 3 , 712 , 117 ( fitzgerald ) and elsewhere . the stimulation preferably produces anti - phase resonance of the two inertial masses . such an arrangement usually requires a seal separating one system from the other and this is preferably located at the node formed by the nexus of the two anti - vibrating shafts , and shown as ‘ a ’. the seal is designed to be compliant and can be formed from ‘ o - rings ’ in a piston - seal configuration or any other similar arrangement using compliant materials ; for example , the seal can be formed using any low rigidity structure such as a metallic torsional spring section . on its own , such high compliance at this point would give low structural strength . therefore , in order to provide rigidity a second member is disposed between the node of is angular displacement and the casing , and shown as ‘ b ’ in fig2 . in particular the pin engages the upper inertial mass where the nodal line intersects the upper inertial mass k 1 . this member is ‘ semi - rigid ’ in that it has low torsional rigidity to allow free torsional vibration but high longitudinal and lateral rigidity to provide structural strength in combination with the seal structure . such a member can be realized as a narrow column , or pin , which is torsionally compliant by virtue of its narrow diameter but is sufficiently short in length to simultaneously provide rigidity to resist the longitudinal forces due to pressure and accelerations in the y plane , and lateral forces in the x and z plane relative to the paper , and any components of these forces thereof . a practical example of such a member is a column of circular section , having for example a diameter to length ratio of 1 : 10 , though other members of different section and proportion can obviously be used . thus the combination of two points of restraint yields a negligible k 3 loading on the resonator in the torsional vibration mode whilst providing the structural strength and fluid sealing attributes required for wide utility . [ 0014 ] fig3 shows an analogous arrangement for a laterally vibrating system ( tuning fork ) though other similar arrangements can be anticipated where systems present nodal regions for separate sealing and structural members . the seal is located in a nodal region of the connection between the two inertial masses ( in this example the tines of the fork and the support pin is located along a nodal line of the resonating structure . in this example the pin engages the base of the fork where a nodal line intersects the base . such an arrangement can be stimulated into vibration by , for example , piezo - electric transducers disposed on the base of the fork and coupled into an appropriate sensing circuit . in this embodiment , the pin ( or column ) will have a very high longitudinal rigidity , which is desirable to resist fluid pressure , compared to its lateral rigidity . the lateral stiffness of the tines of the fork should be substantially greater than the lateral stiffness of the support pin . the casing is not as such essential to the invention . in particular it need not include the wall engaged by the seal . this wall may be the wall of a conduit or container in which the medium which is to be measured is contained or in which it flows . the support for the resonator may be a frame which supports the pin and electromagnetic or other drive means and is adapted for securing to the wall of the conduit or container .