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The vibro-acoustic coupling dynamics of a rotor-bearing-foundation-cylinder system are investigated. Using rotor dynamics, structure dynamics and acoustical theory, the vibro-acoustic coupling equation of a cylindrical shell under rotor-bearing-foundation system׳s nonlinear vibration excitations is derived based on variational principle. In order to solve the coupling equation, the influences of the...
The dynamic model of the rub-impact rotor system with an parallel misalignment was set up. By the displacement constraint between rotors, the dynamic equations was developed on the Lagrange method. Simulations show that the rotor system's low frequencies with large amplitude are 1/2, 1 and 3/2 octave spetrums. If the parallel misalignment is small, the displacement is small as the parallel becomes...
The tosional vibration on misaligned shafting driven by universal joint during transient process was studied considering actual error misalignment. Firstly, the error misalignment was described using a pair of Euler's angles. Secondly, the tosional vibration equation with angular acceleration of the driving shaft was derived. At last, the vibration equation was simulated using Runge-Kuta method, and...
The transverse vibration characteristics of rigid rotor-bearing system was studied with the gyroscopic effect taken into consideration which was arosed by unsymmetrical bearings. And its transverse vibration equation considering the gyroscopic moment and fluid force was established. The stability condition for the system's vibration and critical stability rotational speed's concrete expressions were...
Although the equations describing the longitudinal motions of autonomous underwater vehicles are typically nonlinear, the linearized equations are still employed to design the depth controller by the traditional analysis methods in engineering for the sake of simplicity. The nonlinear systems limited in the longitudinal plane of the autonomous underwater vehicles are analyzed on center manifold through...
Although the equations describing the longitudinal motions of autonomous underwater vehicles are typically nonlinear, the linearized equations are still employed to design the depth controller by the traditional analysis methods in engineering for the sake of simplicity. The reduction of the nonlinearity losts the dynamics near the singular points which may be responsible for the sudden climb or dive...
A backstepping adaptive control method is proposed for a nonlinear system with unknown parameters, unmatched uncertainties and external disturbance. The parameters in each equation can be adjusted respectively. Nonlinear damp technology is used to eliminate uncertainties, and the L2 gain of the unknown disturbance less than or equal to a prescribed index. For nonlinear torpedo model, the input-output...
The nonlinear torpedo model is converted into the combination of input-output and zero dynamic. The input-output dynamic is established using the torpedo depth, climbing rate and attitude angular velocity as the state variables, with rudder control input. The other is stable zero dynamic, including attitude angular and velocity. Considering attitude angular velocity as the virtual controller of torpedo...
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