Beam-column eigenfrequencies

Sine Leergaard Wiggers*, Pauli Pedersen

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingBook chapterEducationpeer-review


In Sect. 3.3, the DE for eigenfrequencies is derived and discussed in relation to simply supported BC. Now including rotational end springs to get further BC, the analytical solutions complicate and generalized basic Berry functions with an added tilde notation must be introduced. For each case of no axial force, eigenfrequencies as a function of conservative axial force are obtained. Graphically results are shown for different combinations of rotational spring support. It is noted that the DE may describe the combination of harmonic vibration with continuous support (Winkler support) and with linear magnetic attraction. Relations to Kolousek functions are pointed out.

Original languageEnglish
Title of host publicationSpringer Tracts in Mechanical Engineering
EditorsSine Leergaard Wiggers, Pauli Pedersen
Publication date1. Jan 2018
ISBN (Print)9783319727202
ISBN (Electronic)9783319727219
Publication statusPublished - 1. Jan 2018
SeriesSpringer Tracts in Mechanical Engineering


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