By M. Peski n, D. Schroeder [RUSSIAN]
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7). The causalities have been assigned all integral without difficulty. Labels have been added for most bonds, such that each decade (of numbers) refers to one car and to the coupling on its right side. It is possible to add more cars, say with bonds 42 to 82 for useful simulation of longitudinal oscillations of long trains. Another modification of Fig. 6 would be to restrain (block) car 32 from movement or equivalently to give to 132 a very large (infinite) mass. In both cases X32 becomes zero, so bond 32 disappears (it has no power).
In the central part at the left is the structure code, almost the same as the equations in Fig. 24. Center left are the parameters for a hydraulic servomotor. 30 2 Bondgraphs as Networks for Power and Signal Exchange the list is almost identical to Fig. 24. Since we have here a simple second order system there is only one resonance that can still easily be calculated by hand (good student exercise). We have simulated here from a Bondgraph with integral causalities from which we can write out the equations or transform into a blockdiagram.
The simulation result appears in Fig. 14 starting with an open clutch and gradual engagement between 2 and 3 secs; after 6 secs it is quickly disengaged. So shaft 23 speeds up at first, loses speed on engaging while shaft 33 speeds up and torque M24 is important. Then both shafts increase speed in parallel. On disengagement M24 falls to 0, shaft 23 speeds up more quickly and shaft 33 gradually loses speed under friction from R34. Summarizing clutches, they always have equal input and output torques and their simulation works fine with the coupling resistor in resistance causality, even for the complex engagement cyclus of Fig.
An Introduction to Quantum Field Theory by M. Peski n, D. Schroeder [RUSSIAN]
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