The Foundation of Structural Vibration Frequency Analysis and Its Applications in Structural Design

10 Oct

Authors: Phương Ngo Nam

Abstract: Thanh Tran Xuan, 2 Phương Ngo NamVibration is a common phenomenon in nature and in engineering. All structures subjected to external forces will vibrate and may experience the phenomenon of resonance during operation. Vibration and resonance are often the cause of, or at least a contributing factor to, many operational problems in structures and machinery, leading to shaking, noise, and even component failure, even when the applied force has not exceeded the material's strength limit. When designing structures, machinery, and civil works, engineers routinely account for the effects of vibration. This includes calculating the structure's natural frequencies, predicting the operational frequency range of the structure, and designing the structure to mitigate adverse effects while utilizing beneficial vibratory characteristics. To fully understand the vibration and resonance issues of a structure, the factors causing vibration and resonance must be identified and quantified. A common approach to achieve this is to study the dynamic properties of the mechanical structure under dynamic excitation: its natural frequencies, corresponding mode shapes, and damping ratios.

DOI: https://doi.org/10.5281/zenodo.17312488