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Experimental modal analysis (EMA) provides many parameters that are required in numerical modeling of dynamic and vibratory behavior of structures. This paper discusses EMA on an exhaust system of an off-road car. The exhaust structure is tested under three boundary conditions: free-free, supported with two elastomeric mounts, and mounted to the car. The free-free modal parameters are compared to finite element results. The two-mount tests are done with the mounts fixed to a rigid and heavy frame. The rigidity of the frame is verified experimentally. The on-car test is done with realistic boundary conditions, where the exhaust structure is fixed to the engine manifold as well as the two elastomeric mounts. The two-mount and the on-car tests result in highly complex mode shapes.

A methodology for modeling elastomeric mounts as nonlinear lumped parameter models is discussed. A key feature of this methodology is that it integrates dynamic test results under different conditions into the model. The first step is to model the mount as a linear model that is simple but reproduces accurately results from dynamic tests under small excitations. Frequency Response Functions (FRF) enables systematic calculation of the parameters for the model. Under more realistic excitation, the mount exhibits non-linearity, which is investigated in the next step. For nonlinear structures, a simple and intuitive method is to use time-domain force-displacement (F-x) curves. Experiments to obtain the F-x curves involve controlling the displacement excitation and measuring the induced forces. From the F-x curves, stiffness and damping parameters are obtained with an optimization technique.

This paper presents the continuation of the modeling work described in a companion paper “Modeling of Nonlinear Elastomeric Mounts. Part 1: Dynamic Testing and Parameter Identification” by the same authors. That paper discussed a dynamic test procedure and an optimization methodology to identify and model an elastomeric mount as a non-linear lumped parameter structure. This paper discusses a numerical modeling methodology to confirm or improve the agreement between the dynamic test results and the input-output relationship of the analytical model generated in the companion paper. In this paper, the model developed in the companion paper and the model parameters are input into a dynamic simulation model using a commercial simulation package. The model is then run to produce the numerical force-versus-displacement (F-x) curves of the mount. The numerical F-x curves are compared with the F-x curves obtained from the experiments.

A digital electrohydraulic control system for emergency braking is designed, simulated, built, and tested. First, a dynamic model of the system was developed with Matlab Simulink. The parameters are obtained experimentally. Feedback gains are obtained by tuning the model. Then, the digital controller is implemented on an industrial personal computer programmed in Turbo C++. The control strategy is an improved digital version of the PID control. The key element in the control of the brake was an electro-hydraulic proportional pressure valve. Experiments show that the control system successfully realizes constant-deceleration emergency brake within mine safety rules. The same hardware can be reprogrammed for various hoists, different load conditions, and different control objectives. Although the test was conducted on a mine hoist brake, the control system can be applied to most vehicles.

Several available mathematical models for vibration dampers were compared to dynamic test results. The comparison results in a simple model that agrees well with both the magnitude and phase characteristics of experimentally obtained frequency response functions. The resulting model can be used as a correct boundary condition for finite element models of the structure to which the dampers are attached.

A servovalve - controlled hydraulic motor - driven positioning system was built. The hydraulic system was modeled and simulated using EASY5 software which had predefined hydraulic components models in addition to the ability of defining new ones. EASY5 model made it possible to study the dynamic behavior of the system under varied conditions of entrained air, motor displacement, motor leakage, and mass changes. Different systems components were tested in order to have the required data needed to build the final model. Pump flow rate, motor leakage, servovalve leakage, and slide table friction were experimentally measured. The slide table dynamic model was proposed and the performance data was measured. Eigenvalue sensitivity analysis showed that fluid line between the hydraulic motor and the servovalve is the most influential factor on system stability.