In the present study, the governing differential equations of motion are developed by using the Hamilton principle for a three-layered curved sandwich beam with symmetric face layers. To develop the dynamic stiffness matrix, the face layers are considered to behave like Euler–Bernoulli beams although only shear deformation occurs in the core. In this research, for computing the natural frequencies of curved sandwich beams, the Wittrick–Williams algorithm is applied. After the procedure is validated by comparison with various published results, to indicate its range of application, natural frequencies of a complex frame are computed. Finally, a parametric study investigated the effect of thickness and curvature for various boundary conditions on the natural frequencies.
Revised:
Accepted:
Published online:
Daniel Dorostghoal 1; Abdolreza Zare 1; Ali Alipour Mansourkhani 1

@article{CRMECA_2020__348_5_375_0, author = {Daniel Dorostghoal and Abdolreza Zare and Ali Alipour Mansourkhani}, title = {Exact free vibration of symmetric three-layered curved sandwich beams using~dynamic stiffness matrix}, journal = {Comptes Rendus. M\'ecanique}, pages = {375--392}, publisher = {Acad\'emie des sciences, Paris}, volume = {348}, number = {5}, year = {2020}, doi = {10.5802/crmeca.45}, language = {en}, }
TY - JOUR AU - Daniel Dorostghoal AU - Abdolreza Zare AU - Ali Alipour Mansourkhani TI - Exact free vibration of symmetric three-layered curved sandwich beams using dynamic stiffness matrix JO - Comptes Rendus. Mécanique PY - 2020 SP - 375 EP - 392 VL - 348 IS - 5 PB - Académie des sciences, Paris DO - 10.5802/crmeca.45 LA - en ID - CRMECA_2020__348_5_375_0 ER -
%0 Journal Article %A Daniel Dorostghoal %A Abdolreza Zare %A Ali Alipour Mansourkhani %T Exact free vibration of symmetric three-layered curved sandwich beams using dynamic stiffness matrix %J Comptes Rendus. Mécanique %D 2020 %P 375-392 %V 348 %N 5 %I Académie des sciences, Paris %R 10.5802/crmeca.45 %G en %F CRMECA_2020__348_5_375_0
Daniel Dorostghoal; Abdolreza Zare; Ali Alipour Mansourkhani. Exact free vibration of symmetric three-layered curved sandwich beams using dynamic stiffness matrix. Comptes Rendus. Mécanique, Volume 348 (2020) no. 5, pp. 375-392. doi : 10.5802/crmeca.45. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.45/
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