Eringen’s Length-Scale Coefficients for Vibration and Buckling of Nonlocal Rectangular Plates with Simply Supported Edges: Fid-Bau Portal

Fachinformationsdienst BAUdigital

A platform for research: civil engineering, architecture and urbanism

Eringen’s Length-Scale Coefficients for Vibration and Buckling of Nonlocal Rectangular Plates with Simply Supported Edges

Zhang, Zhen / Wang, C. M. / Challamel, Noël

Abstract

For the nonlocal theory of structures, Eringen’s small length-scale coefficient $e_{0}$ may be identified from atomistic modeling or experimental tests. In this study, Eringen’s small length-scale coefficients are presented for the vibration and buckling of nonlocal rectangular plates with simply supported edges. The coefficients are calibrated by comparing the vibration frequency and buckling loads obtained from a nonlocal plate and a microstructured beam-grid model with the same characteristic length. The beam-grid model is composed of rigid beams connected by rotational and torsional springs. It is found that the small length-scale coefficient $e_{0}$ varies with respect to the initial stress, rotary inertia, mode shape, and aspect ratio of the rectangular plate.

Access

Check availability in my library

Order at Subito €

Page navigation

Document information

Export, share and cite

Eringen’s Length-Scale Coefficients for Vibration and Buckling of Nonlocal Rectangular Plates with Simply Supported Edges

Zhang, Zhen / Wang, C. M. / Challamel, Noël

Abstract

For the nonlocal theory of structures, Eringen’s small length-scale coefficient $e_{0}$ may be identified from atomistic modeling or experimental tests. In this study, Eringen’s small length-scale coefficients are presented for the vibration and buckling of nonlocal rectangular plates with simply supported edges. The coefficients are calibrated by comparing the vibration frequency and buckling loads obtained from a nonlocal plate and a microstructured beam-grid model with the same characteristic length. The beam-grid model is composed of rigid beams connected by rotational and torsional springs. It is found that the small length-scale coefficient $e_{0}$ varies with respect to the initial stress, rotary inertia, mode shape, and aspect ratio of the rectangular plate.

Eringen’s Length-Scale Coefficients for Vibration and Buckling of Nonlocal Rectangular Plates with Simply Supported Edges

Zhang, Zhen / Wang, C. M. / Challamel, Noël

Abstract

For the nonlocal theory of structures, Eringen’s small length-scale coefficient $e_{0}$ may be identified from atomistic modeling or experimental tests. In this study, Eringen’s small length-scale coefficients are presented for the vibration and buckling of nonlocal rectangular plates with simply supported edges. The coefficients are calibrated by comparing the vibration frequency and buckling loads obtained from a nonlocal plate and a microstructured beam-grid model with the same characteristic length. The beam-grid model is composed of rigid beams connected by rotational and torsional springs. It is found that the small length-scale coefficient $e_{0}$ varies with respect to the initial stress, rotary inertia, mode shape, and aspect ratio of the rectangular plate.

Access

Check availability in my library

Order at Subito €

Page navigation

Document information

Export, share and cite

Document information

Title:

Eringen’s Length-Scale Coefficients for Vibration and Buckling of Nonlocal Rectangular Plates with Simply Supported Edges

Contributors:

Zhang, Zhen (author) / Wang, C. M. (author) / Challamel, Noël (author)

Published in:

Journal of Engineering Mechanics ; 141

Publication date:

2014-07-23

ISSN:

0733-9399 , 1943-7889

DOI:

https://doi.org/10.1061/(ASCE)EM.1943-7889.0000838

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

Unknown

Similar titles

Eringen’s Length-Scale Coefficients for Vibration and Buckling of Nonlocal Rectangular Plates with Simply Supported Edges

Challamel, Noël | Online Contents | 2015

Small length scale coefficient for Eringen’s and lattice-based continualized nonlocal circular arches in buckling and vibration

Zhang, H. / Wang, C.M. / Challamel, N. | British Library Online Contents | 2017

Explicit Vibration Formulas Applicable to Timber Plates with Free and Simply Supported Edges

Ussher, E. / Arjomandi, K. / Smith, I. | British Library Online Contents | 2018

Explicit Vibration Formulas Applicable to Timber Plates with Free and Simply Supported Edges

Ussher, EbenezerPostdoctoral Fellow / Arjomandi, KavehAssociate Professor / Smith, Ian, Professor Emeritus | Taylor & Francis Verlag | 2018

Comparison of Various Shear Deformation Theories for Bending, Buckling, and Vibration of Rectangular Symmetric Cross-ply Plate with Simply Supported Edges

Aydogdu, M. | British Library Online Contents | 2006