Effect of variability of parameters of cross-sections of rods on their dynamic performance

• Main Authors: V. A. Lomovskoy, E. A. Korovaitseva
• Format: Article
• Language: Russian
• Published: MIREA - Russian Technological University 2012-02-01
• Series: Тонкие химические технологии
• Subjects: vibrations of rods; vector equation; bend; tension-compression; shift; boundary value problem; method of initial parameters; frequency function
• Online Access: https://www.finechem-mirea.ru/jour/article/view/779

Influence of prismatic cross-section rods surface quality on natural frequencies and mode shapes is investigated. Modified equations of Kirchhoff and Klebsh are used. These equations allow taking into account the influence of tension-compression and in-plane shear of rods. Linear initial-value boundary-value eigenvalue problem is formulated. Modeling of frequency function is carried out with the help of method of initial parameters. Existence of nonlinear dependence of natural frequencies on rod cross-section parameters changing and high sensitivity of mode shapes when changing rod cross-section parameters is confirmed, Urgency of developing special high-precision algorithms of ill-conditioned boundary problems solution for practical use of the confirmed effect is revealed.