Consider the following system driven by an angle source, theta_5 applied to a sh
ID: 1843408 • Letter: C
Question
Consider the following system driven by an angle source, theta_5 applied to a shaft, k, connected to a gear box where the input gear, Gear 1, has radius r_1 and the output gear, Gear 2, has radius r_2. The gear ratio is defined as n = such that theta_2 = 1/n theta_1 using the positive right hand notation shown where the gearbox, is directly coupled to the load inertial. The inertia is supported by a bearing B and drivers a load, B Complete the following stating assumptions. a) Draw the system diagram and free body diagrams of all inertias and elements. b) write the element equations. c) Apply D Alembert's law to the system to form the differential equation describing the dynamics of the system. The equations should be in the preferred form discussed in class (e.g higher derivatives of appear first followed by lower derivatives on the LHS; forcing terms are on the RHS inertia terms such as theta_2 are not multiples by any other parameters in the theta_2 equation.) Circle your final answer.Explanation / Answer
The rotor - bearing system of modern rotating machines constitutes a complex dynamic system . the challenging nature of rotor dynamic problems have attracted many scientists and engineers whose investigations have contributed to the imopressive progress in the study of rotating systems with the advancement in high speed mchinery and increases in their power / weight ratio, the determination of the rotor dynamic characteristics through reliable mathematica models gain prime importtance. the advancement in modern instrumentation and computational capabilitics has helped in implementing simulation technique of these complex models. modern machinery is bound to fulfill increasing demands concerning durability as well as safety requirements. on-line condition monitoring strategies are becoming increasingly commonplace in a greater range of systems.