Assessment of lateral dynamic instability of columns under an arbitrary periodic axial load owing to parametric resonance

• Published in: Journal of sound and vibration Vol. 395; pp. 272 - 293
• Main Authors: Huang, Youqin, Liu, Airong, Pi, Yonglin, Lu, Hanwen, Gao, Wei
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier Ltd 12.05.2017; Elsevier Science Ltd
• Subjects: Arbitrary periodic axial load; Axial loads; Bolotin′s method; Columns (structural); Computing time; Damped column; Damping ratio; Dynamic instability; Dynamic stability; Eigenvalue problem; Eigenvalues; Excitation; Lateral stability; Load; Parametric resonance; Stability analysis; Eigenvalue problem; Dynamic instability; Bolotin′s method; Arbitrary periodic axial load; Damped column; Parametric resonance

The paper presents a method for assessing the dynamic stability of simply supported columns with damping under arbitrary periodic axial loading owing to parametric resonance. The equation for determining critical excitation frequencies causing lateral parametric instability of columns is derived usi...