An innovative holographic imaging technique is applied in characterization of MEMS switch non-linear dynamics. The Duffing's non-linear oscillator based phenomenological model was adopted to study MEMS switch non-linear response due to the complicated contact phenomena and corresponding boundary conditions. An experimental contact measurement result of MEMS cantilever response that matches theoretical trends is provided. Non-destructive contact measurements were performed by means of quantitative nanomechnical test instruments. Non-contact holographic characterization method yielded results comparable with phenomenological model and contact measurements. The proposed holographic characterization method consists of digitized holographic measurements enhanced by the FEM eigenvector problem solution. Two cases were analyzed for simple and perturbated sinusoidal excitations that correspond to the free and contact boundary conditions, respectively.
Eccentric angular motion transfer mechanisms are analyzed in the paper. The de-balancing mass has an additional degree of freedom in these mechanisms. It was found that certain types of such mechanisms posses interesting nonlinear dynamical features when a self-resonance motion mode occurs. Such self-resonance motion mode takes place when the main driving element rotates with relatively high angular velocity, but low frequency vibrations are generated in the range of fundamental frequency of the system. Analytical, numerical and experimental investigations of nonlinear vibration excitation systems were performed. Such vibration excitation systems have high practical value as there is no necessity for complex vibration control equipment -the stability of operation is guaranteed by non-linear dynamical interactions. Laser velocity measurement system was used for experimental investigations of the dynamical properties of the system. The results of the investigations validated the results of the theoretical analysis and provide a background for developing new type of dynamical mechanisms.
Eccentric type dis-balance type vibration excitation systems are analysed in the paper. It is assumed that the dis-balance has an additional degree of freedom. It is shown that resonance vibrations in such systems can occur in the regime of self-resonance which is understood as a mode of motion when the driving shaft's angular frequency is high, but the generated vibration frequency is relatively low . Experimental investigations of the effect of self-resonance enabled to define the zones of existence of such motion modes. Such principle of vibration excitation can be successfully exploited in different areas of engineering as it eliminated the necessity of complex and expensive vibration control and stabilisation equipment.
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