Electrical Energy Analogs of Vibrating Beams

For the passive-element electrical analog of a finite increment of a beam vibrating in flexure, improvements over the conventional form of the circuit are found by making explicit use of the energy as an analogous parameter in the beam and in the electrical circuit. For a given beam it is found that these improvements lead to a drastic reduction in the theoretical analog error and also in the number of electrical components required per beam increment. It may therefore generally be expected that for a given allowable overall error the number of r equired beam increments may be reduced, while the cost of analog components may be reduced both because fewer components are used and also because, in consequence of the smaller number of components, greater imperfections in the components may be tolerated. Alternatively, for a givton analog installation, the complexity of problems which may be handled with a given allowable error may be increased.