2022
DOI: 10.1556/606.2022.00523
|View full text |Cite
|
Sign up to set email alerts
|

Dynamic modeling of a simply supported beam with an overhang mass

Abstract: The aim is to derive an expression to calculate the natural frequencies and plot the mode shapes of a simply-supported beam with an overhang with an end overhang point mass by using the Euler-Bernoulli theory in the case of free transverse vibrations. The results are validated by finite element analysis. The importance of the system presented is that it can represent machine tool spindles or even machining tools like boring bars. The results are in good agreement with the results from the finite element analys… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1

Citation Types

0
3
0

Year Published

2023
2023
2024
2024

Publication Types

Select...
4

Relationship

0
4

Authors

Journals

citations
Cited by 4 publications
(3 citation statements)
references
References 7 publications
0
3
0
Order By: Relevance
“…The measurement procedure involves the excitation of the go-kart frame at predetermined points with the impulse hammer to ensure adequate energy transfer. Sensor positions are selected considering anticipated vibration modes and desired response functions, with measurements averaged to account for random noise [26][27][28][29][30][31]. The accelerometer, a movable three-directional instrument, is strategically placed based on FE simulations and relocated after each excitation.…”
Section: Modeling: Torsional Stiffness Analysismentioning
confidence: 99%
See 1 more Smart Citation
“…The measurement procedure involves the excitation of the go-kart frame at predetermined points with the impulse hammer to ensure adequate energy transfer. Sensor positions are selected considering anticipated vibration modes and desired response functions, with measurements averaged to account for random noise [26][27][28][29][30][31]. The accelerometer, a movable three-directional instrument, is strategically placed based on FE simulations and relocated after each excitation.…”
Section: Modeling: Torsional Stiffness Analysismentioning
confidence: 99%
“…During the test, the quality of FRFs is assessed, evaluating the stability of the relationship between excitation and response functions, with coherence values indicating the degree of correlation. In the experimental modal analysis, ten Eigenmodes were extracted in the 0-200 Hz range, compared with simulation results for validating the numerical model [29], see Table 1. Notably, the identified 38.5 Hz torsional and 40.4 Hz bending modes showed very close matches with simulation results.…”
Section: Modeling: Torsional Stiffness Analysismentioning
confidence: 99%
“…Song, Dong et al (7) studied the transverse vibration of Euler Bernoulli beam with mass of ends and springs. AL ghoul, Cabezas et al (8) derive an expression to calculate the natural frequencies and plot the mode shapes of a simply-supported beam with an overhang with an end overhang point mass by using the Euler Bernoulli theory in the case of free transverse vibrations. Kudryavtsev, Malykhina et al (9) Considers the problem of estimating the first eigenfrequency and the first critical force of the beam using the so-called support coefficients.…”
Section: Introductionmentioning
confidence: 99%