István Zobory

Dynamic response of a periodically supported railway track in case of a moving complex phasor excitation

Most of the known solution methods of periodically supported beam problems involve application of infinite sums (see eg. [2] and references there). This fact makes it hard to investigate qualitative properties. In 1995 Droździel, Sowinski and Żochowski [1] proposed a new method in case of fixed loads, that involves only finite sums for obtaining the solution of the problem. Independently, the present authors and Zoltan Zabori [3] gave a closed-form solution in case of finitely many, altough inhomogeneous in position, stiffness and damping, supports. Combining the last two methods we give here a finite, closed-form solution for the periodically supported infinite Bernoulli-Euler beam problem, that works even in the case of moving time-dependent loads represented by moving complex phasors.

Wave front synthesis for comparative measurement in digital holography and TV holography

The analog reconstruction of a wave front and its application in comparative measurement is well known from comparative holography. Thanks to the rapid development of high quality spatial light modulators (SLM), different methods applying the analog reconstruction of digital holograms has been developed in digital holography too. In these methods the recorded wave fronts of an object are generated by the spatial modulator. The SLM is also capable to generate computer calculated wave fronts (not belonging to an existing object), and multiple such projections can be performed during the measurement time. Using this feature an effective adaptive measuring system can be built. The application of such wave front projections is also possible in TV holography. The wave front projection can be virtually too, when the wave front exists only in the computer memory. Methods both for digital holography and TV holography are developed too.