Details
| Original language | English |
|---|---|
| Article number | 04018043 |
| Journal | Journal of Engineering Mechanics - ASCE |
| Volume | 144 |
| Issue number | 6 |
| Early online date | 16 Apr 2018 |
| Publication status | Published - 1 Jun 2018 |
Abstract
To model the displacement field of asymmetric one-dimensional structural elements, in which a transverse-bending motion couples with axial motion, a formulation with five displacement components is developed. The proposed formulation extends Timoshenko beam theory to asymmetric cases and adds two displacement components to estimate in-plane warping. Via Hamilton's principle, the coupled partial differential equations that govern the components of the displacement field together with the corresponding boundary conditions are derived. To validate the formulation, the lower natural frequencies of several case studies, including a monolith of Koyna Dam in India, are computed and compared with those given by two-dimensional finite-element models. To analyze the examples through the proposed formulation, standard finite-element analysis of one-dimensional elements with five displacement components is applied. In all cases, results from the proposed plane stress formulation proved to be in very good agreement with those provided by two-dimensional models.
Keywords
- Concrete gravity dams, Coupled vibrations, In-plane warping, Lower natural frequencies, Timoshenko beam
ASJC Scopus subject areas
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
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In: Journal of Engineering Mechanics - ASCE, Vol. 144, No. 6, 04018043, 01.06.2018.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Coupled transverse and axial vibrations including warping effect in asymmetric short beams
AU - Gebhardt, Cristian G.
AU - Matusevich, Ariel E.
AU - Inaudi, José A.
N1 - Publisher Copyright: © 2018 American Society of Civil Engineers. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2018/6/1
Y1 - 2018/6/1
N2 - To model the displacement field of asymmetric one-dimensional structural elements, in which a transverse-bending motion couples with axial motion, a formulation with five displacement components is developed. The proposed formulation extends Timoshenko beam theory to asymmetric cases and adds two displacement components to estimate in-plane warping. Via Hamilton's principle, the coupled partial differential equations that govern the components of the displacement field together with the corresponding boundary conditions are derived. To validate the formulation, the lower natural frequencies of several case studies, including a monolith of Koyna Dam in India, are computed and compared with those given by two-dimensional finite-element models. To analyze the examples through the proposed formulation, standard finite-element analysis of one-dimensional elements with five displacement components is applied. In all cases, results from the proposed plane stress formulation proved to be in very good agreement with those provided by two-dimensional models.
AB - To model the displacement field of asymmetric one-dimensional structural elements, in which a transverse-bending motion couples with axial motion, a formulation with five displacement components is developed. The proposed formulation extends Timoshenko beam theory to asymmetric cases and adds two displacement components to estimate in-plane warping. Via Hamilton's principle, the coupled partial differential equations that govern the components of the displacement field together with the corresponding boundary conditions are derived. To validate the formulation, the lower natural frequencies of several case studies, including a monolith of Koyna Dam in India, are computed and compared with those given by two-dimensional finite-element models. To analyze the examples through the proposed formulation, standard finite-element analysis of one-dimensional elements with five displacement components is applied. In all cases, results from the proposed plane stress formulation proved to be in very good agreement with those provided by two-dimensional models.
KW - Concrete gravity dams
KW - Coupled vibrations
KW - In-plane warping
KW - Lower natural frequencies
KW - Timoshenko beam
UR - http://www.scopus.com/inward/record.url?scp=85045528558&partnerID=8YFLogxK
U2 - 10.1061/(ASCE)EM.1943-7889.0001471
DO - 10.1061/(ASCE)EM.1943-7889.0001471
M3 - Article
AN - SCOPUS:85045528558
VL - 144
JO - Journal of Engineering Mechanics - ASCE
JF - Journal of Engineering Mechanics - ASCE
SN - 0733-9399
IS - 6
M1 - 04018043
ER -