Characteristics of Vibrating Systems having Time-Constrained Energy

2024/10/26 by Cui, Enze, Peters, James F.
#60E10 74H45 #74H45 #76F20 #FOS: Physical sciences #General Physics (physics.gen-ph)

paper · doi:10.48550/arxiv.2410.21323

Abstract

This paper introduces an axiomatic basis for measuring the energy characteristic of vibrating dynamical systems. The basic approach is to compare non-modulated vs. modulated waveforms in measuring energy during the vibratory motion m(t) at time t of moving object such as off-road vehicle oscillating movements recorded in an infrared (IR) video. Modulation of m(t) is achieved either physically by adjusting the load on a spring system or geometrically by adjusting the frequency ω of the Euler exponential in m(t)e^{± j ωt}dt. Expenditure of energy E_m(t) by a system is measured in terms of the area bounded by the motion m(t) waveform at time t.

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