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arXiv · 2410.21323

Characteristics of Vibrating Systems having Time-Constrained Energy

Enze Cui·James F. Peters
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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 $\omega$ of the Euler exponential in $m(t)e^{\pm j \omega t}dt$. 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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Enze Cui, James F. Peters. 2024-10-26. Characteristics of Vibrating Systems having Time-Constrained Energy. https://arxiv.org/abs/2410.21323

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