Numerical modelling of rubber vibration isolators

An important cause for interior noise in vehicles is structure-borne sound from the engine. The vibrations of the source (engine) are transmitted to the receiver structure (the vehicle) causing interior noise in the vehicle. For this reason the engine is supported by rubber isolators for passive isolation in especially the high-frequency region. To make a good judgment of the characteristics of a vibration isolator in the design process, it is useful to use numerical models. In this paper a cylindrical vibration isolator is modelled numerically with the Finite Element package ABAQUS. The investigation is split in two parts: first a nonlinear analysis is performed for different pre-deformations of the mount. After that, a linear harmonic analysis is superimposed on the pre-deformed isolator. The structure-borne sound is transmitted by the isolator by six degrees of freedom, so the harmonic analysis must be performed for different excitations. With the results the behavior of the isolator can be represented by dynamic stiffness matrices as function of the frequency and predeformation. These matrices can be used to model the passive isolation components as part of numerical models of hybrid isolation systems. These isolation systems describe a combination of active and passive isolation to reduce the structure-borne sound transmission to receiver structures

Continuous-discrete variable optimization on composites using kriging surrogate model

This work describes a mixed continuous-discrete variable optimization procedure\ud for thermoplastic composite panels. Minimum weight configuration is the goal. Buckling constraint is applied to the problem. A Kriging surrogate model of the constraint is generate to evaluate the optimum solution

A Transfer Function Approach to Structural Vibrations Induced by Thermoacoustic Sources

To decrease NOx emissions from a combustion system, lean premixed combustion in combination with an annular combustor is used. One of the disadvantages is an increase in sound pressure levels in the combustion system, resulting in an increased excitation of the surrounding structure, the liner. This causes fatigue, which limits the life time of the combustor. To model the interaction between flame, acoustics and structure, a transfer function approach is used. In this approach, the components are represented by the frequency dependent linear transfer between their inputs and outputs. For the flame a low pass filter with convective time delay is used as transfer function between velocity perturbations at the burner outlet and the flame as acoustic volume source. The acoustic transfer from volume source to velocity perturbation at the burner outlet is obtained from a harmonic finite element analysis, in which a temperature field from CFD calculations is used. The calculated response is subsequently curve-fitted using a pole-zero model to allow for fast calculations. The finite element model includes the two way coupling between structural vibrations and acoustics, which allows extraction of the vibration levels. The different transfers are finally coupled in one model. Results show frequencies of high acoustic response which are susceptible to thermoacoustic instability. Damping mechanisms and the phase relation between the different components determine stable or unstable behavior and the amplitude of the resulting perturbations. Furthermore there are also frequencies of high structural response. Especially when the two coincide, the risk of structural damage is high, whereas when they move away from each other, the risk decreases

Finite element models applied in active structural acoustic control

This paper discusses the modeling of systems for active structural acoustic control. The finite element method is applied to model structures including the dynamics of piezoelectric sensors and actuators. A model reduction technique is presented to make the finite element model suitable for controller design. The reduced structural model is combined with an acoustic model which uses the radiation mode concept. For a test case consisting of a rectangular plate with one piezo patch the model reduction technique is validated. The results show that the an accurate prediction of both the structural and acoustic response is predicted by the reduced model. The model is compact requiring small simulation times, which makes it attractive for control system design. Finally the control performances for both structural and acoustic error criteria are presented

A two step viscothermal acoustic FE method

Previously, the authors presented a finite element for viscothermal acoustics. This element has the velocity vector, the temperature and the pressure as degrees of freedom. It can be used, for example, to model sound propagation in miniature acoustical transducers. Unfortunately, the large number of coupled degrees of freedom can make the models big and time consuming to solve. A method with reduced calculation time has been developed. It is possible to partially decouple the temperature degree of freedom, as result of the differences in the characteristic length scales of acoustics and heat conduction. This leads to a method that uses two sequential steps. In the first step, a scalar field containing information about the thermal effects is calculated (not the temperature). This is a relatively small FE calculation. In the second step, the actual viscothermal acoustical equations are solved. This calculation uses the field calculated in the first step and has the velocity vector and the pressure as the degrees of freedom. The temperature is not a degree of freedom anymore, but it can be easily calculated in a post processing step. The required computational effort is reduced significantly, while the difference in the results, compared to the fully coupled method, is negligible. Along with the theoretical basis for the method, a specific FE calculation is presented to illustrate its accuracy and improvement in calculation time

Optimization strategy for actuator and sensor placement in active structural acoustic control

In active structural acoustic control the goal is to reduce the sound radiation of a structure by means of changing the vibrational behaviour of that structure. The performance of such an active control system is to a large extent determined by the locations of the actuators and sensors. In this work an approach is presented for the optimization of the actuator and sensor locations. The approach combines a numerical modelling technique, for predicting the control performance, and genetic optimization, to find the optimal actuator and sensor locations. The approach is tested for a setup consisting of clamped rectangular plate with a piezoelectric actuator and either structural or acoustic sensors. The results show that a control system with optimal actuator and sensor configuration outperforms an arbitrary chosen configuration in terms of reduction in radiated sound power

Actuators for smart applications

Actuator manufacturers are developing promising technologies\ud which meet high requirements in performance, weight and\ud power consumption. Conventionally, actuators are characterized\ud by their displacement and load performance. This hides the\ud dynamic aspects of those actuation solutions. Work per weight\ud performed by an actuation mechanism and the time needed to\ud develop this mechanical energy are by far more relevant figures.\ud Based on these figures, a selection process was developed.\ud With time and energy constraints, it highlights the most\ud weight efficient actuators. This process has been applied to the\ud Gurney flap technology used as a morphing concept for rotorblades.\ud Three control schemes were considered and simulations\ud were performed to investigate the mechanical work required. It\ud brought forward piezoelectric stack actuators as the most effective\ud solution in the case of an actively controlled rotorblade. The\ud generic nature of the procedure allows to use it for a wide range\ud of applications