Evidence map›Paper›PMID 39632965›Full record

ArticleScientific reports2024

Free vibration of nanobeams with surface and dynamic flexoelectric effects.

Peng Wang, JiaWei Xu, XiWen Zhang, YingHui Lv

Abstract read
PubMed Full text at PMC Publisher
In one paragraph

Article in Scientific reports, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

0numbers the graph read from it
0cells of the map it votes in
1citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

1 citing paper in PubMed.

  1. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Peng Wang *School of Civil Engineering and Architecture, University of Jinan, Jinan, 250022, China. sdpengwang@163.com.
JiaWei Xu *School of Civil Engineering and Architecture, University of Jinan, Jinan, 250022, China.
XiWen ZhangSchool of Civil Engineering and Architecture, University of Jinan, Jinan, 250022, China.
YingHui LvSchool of Civil Engineering and Architecture, University of Jinan, Jinan, 250022, China. cea_lvyh@ujn.edu.cn.

Funding

National Natural Science Foundation of China 12272148
6 · The paper itself

Abstract

In this paper, the free vibration of piezoelectric nanobeams considering static flexoelectric, dynamic flexoelectric, and surface effects is studied. Based on the theories of the Timoshenko beam and Euler-Bernoulli beam, a theoretical model of flexoelectric nanobeams is established and the governing equations and boundary conditions of this model are derived using the variational principle. Then, the analytical solution of the frequency equation is obtained by using the Navier method. Numerical results indicate that the size dependence of the dynamic flexoelectric effect is stronger than the surface effect. The surface and dynamic flexoelectric effects exhibit a competitive mechanism on the natural frequency.

Indexed as

Dynamic flexoelectricityFlexoelectric effectFree vibrationPiezoelectric nanobeamSurface effect

Identifiers

PMID39632965
PMCPMC11618604

What OpenQuestion holds

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.