Abstract: The damping behavior of a physical system is evaluated by mapping of damping loss factors calculated from time-dependent amplitude and frequency functions to form a full time-frequency dependent damping spectrum. The time-dependent amplitude and frequency functions are formulated by calculations based on the intrinsic mode functions derived by empirical mode decomposition of the original time series dataset representing the system behavior. The amplitude and frequency functions for each intrinsic mode function are calculated from the polar representation of the Hilbert transform-based time-dependent complex function corresponding to the intrinsic mode function.

Abstract: A device used as an aid in scoring polygonal shapes into glass having a platen rotatable on a base and a compression arm secured to the base, the platen having grid markings and circular markings intersecting the grid markings, and holes at certain of the grid markings into which locating pins, straight edges and clamps can be inserted, the base having a circular recess, the platen being seated into the circular recess, the compression arm being secured to the base and having a glass engaging clamp, the compression arm extending over the platen to secure a piece of glass between the glass engaging clamp and the platen to facilitate a straight line to be manually scored using a hand scoring device, the platen being a held by a retaining force variably applied to hold the platen position by the glass engaging clamp during the scoring operation.