Flexural-Torsional Vibration of Thin-Walled Beams Subjected to Combined Initial Axial Load and End Bending Moment: Application to the Design of Saw Tooth Blades

Autor: Van Binh Phung, Anh Tuan Nguyen, Hoang Minh Dang, Thanh-Phong Dao, V. N. Duc
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Shock and Vibration, Vol 2019 (2019)
Druh dokumentu: article
ISSN: 1070-9622
1875-9203
DOI: 10.1155/2019/4509630
Popis: The present paper analyzes the vibration issue of thin-walled beams under combined initial axial load and end moment in two cases with different boundary conditions, specifically the simply supported-end and the laterally fixed-end boundary conditions. The analytical expressions for the first natural frequencies of thin-walled beams were derived by two methods that are a method based on the existence of the roots theorem of differential equation systems and the Rayleigh method. In particular, the stability boundary of a beam can be determined directly from its first natural frequency expression. The analytical results are in good agreement with those from the finite element analysis software ANSYS Mechanical APDL. The research results obtained here are useful for those creating tooth blade designs of innovative frame saw machines.
Databáze: Directory of Open Access Journals
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