Modified continuity conditions of plates in beam-column using the Mindlin plate theory |
| |
| Affiliation: | 1. Second Department of Cardiology, University General Hospital “Attikon”, Athens, Greece;2. Biochemistry Laboratory, General Hospital of Nikea, Piraeus, Greece;1. Department of Cardiovascular Imaging, Marie Lannelongue Hospital, Le Plessis Robinson, France;2. Research and Innovation Unit, INSERM U999, DHU Torino, Paris Sud University, Marie Lannelongue Hospital, Le Plessis Robinson, France;3. Division of Cardiovascular Medicine, Stanford University, Stanford, California, USA;4. Department of Cardiothoracic Surgery, Marie Lannelongue Hospital, Le Plessis Robinson, France;5. Department of Pulmonary Diseases, Kremlin Bicêtre Hospital‒APHP, Kremlin Bicêtre, France;1. Baylor College of Medicine, Department of Neurosurgery, 7200 Cambridge St, Houston, TX 77030, United States of America;2. Texas Children''s Hospital, Department of Neurosurgery, 6701 Fannin St, Houston, TX 77030, United States of America;3. Baylor College of Medicine, Department of Pediatrics, Neurology and Developmental Neuroscience Section, 6701 Fannin St, Houston, TX 77030, United States of America;4. Texas Children''s Hospital, Department of Neurology, Epilepsy Center, 6701 Fannin St, Houston, TX 77030, United States of America;5. University of Texas MD Anderson Cancer Center, Department of Health Services Research, 1155 Pressler St., Houston, TX 77030, United States of America |
| |
| Abstract: | In the present paper, two independent functions of displacements along the z axis direction, i.e., the total lateral displacement w and the bending deflection φ, have been introduced within the first order shear deformation plate theory FSDT. The differential equations of motion and boundary conditions have been derived from Hamilton's principle employing the classical Mindlin approach. Modified conditions of two adjacent component plate interactions have been formulated. A plate model of the plate structure has been adopted to describe all possible buckling modes. The obtained equations are approximate since the shear locking is not ignored but the boundary layer effect is neglected. A method of the modal solution to the buckling problem within Koiter's asymptotic theory has been used. The calculations have been conducted for a few beam-columns of various shapes of cross-sections. The obtained results that account for transverse shear deformation have been compared to the results attained for the classical thin plate theory. |
| |
| Keywords: | Reissner–Mindlin plate theory Modified conditions Analytical–numerical method |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
