Generic vibration criteria for hand-held precision instruments

Abstract

This paper presents a measurement-based framework for deriving generic hand–arm vibration criteria (HAVC) for the dynamic evaluation, modeling, and simulation of hand-held precision devices. An inertial measurement system captures translational and rotational vibrations in all six degrees of freedom across representative postures, instrument masses, and operators. The dataset is analyzed using unified spatial referencing, power spectral densities, statistical descriptors, and cross-spectral relationships to establish population-level vibration characteristics. The measurements indicate that operator-induced vibration is dominated by low-frequency physiological tremor, shows systematic dependencies on posture and mass, and exhibits minimal cross-axis coupling. Parametric spectral envelopes are fitted to the median spectra and expressed as normalized filters, enabling the synthesis of realistic vibration signals from appropriately scaled white noise. This approach provides simulation-ready disturbance inputs for control design, structural sensitivity analysis, and optomechatronic performance assessment. The proposed HAVC extend the vibration criterion concept from environmental excitation to human–instrument interaction, providing quantitative reference envelopes for the predictive design of hand-held precision systems.