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Understanding vibration

The tremendous effects of a strong earthquake on buildings and other constructions have led researchers to study the underlying physical phenomenon of vibration. Apart from seismic vibrations, these shaky motions may also be encountered in a wide variety of systems, from molecules to telecommunication systems.
Understanding vibration
Vibration systems, wherever met, are closely related to the safety and the proper functioning of the associated structure. For instance, studying the vibration system of a building may provide useful information about its behaviour during an earthquake, in terms of stability and safety of the construction.

Thereby, suitable matrix methods are employed in order to accurately calculate these vibrating phenomena. However, such methods are potentially inefficient in terms of reliability since they provide approximate estimations rather than exact numbers. In addition, they require a lot of effort during processing, in particular for lumped systems.

Unlike conventionally used methods, a unique non-matrix method suitably addresses vibrations in both distributed and lumped systems. More specifically, the offered solution allows accurate calculation of 1D lumped systems involving unlimited number- almost infinite- of elastically connected elements. With elements' homogeneity not playing a significant role, the new method heavily relies on resistance as well as different longitudinal and transversal stiffness coefficients of the material of the actual system.

The method has already been developed for a wide spread range of systems, namely line (mechanical shafts), kinked (joint of a table-land and mountain ridge, mountain ridge bend being the concentrators of seismic destruction power), closed-loop systems (wheel analogue) and systems including resonance subsystems. These customised solutions have displayed different vibration and resonance patterns than those provided by matrix techniques giving a better insight on vibrations.

Compared to the conventional methods, the new method is visual allowing easy prediction and correction at any stage of the process, whereby the user is capable of appropriately selecting parameters during computation. The method has already been tested with derived results being in good accordance to experiments. For additional information, visit the laboratory's homepage at:
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