|
|||||
|
|
Nonlinear stability and dynamics of composite skew plates under nonuniform loadings using differential quadrature method |
|
| Institution: | 1. Department of Mechanical and Aerospace Engineering, Indian Institute of Technology Hyderabad, Telangana 502205, India;2. Bernal Institute, School of Engineering, University of Limerick, Castletroy, Ireland;1. GI-MOSM, Grupo de Investigação em Modelação e Optimização de Sistemas Multifuncionais; ISEL, IPL, Instituto Superior de Engenharia de Lisboa, Av. Conselheiro Emídio Navarro 1, 1959-007 Lisboa, Portugal;2. IDMEC, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais 1, 1049-001 Lisboa, Portugal;1. Dipartimento di Scienze e Tecnologie Aerospaziali, Politecnico di Milano, Via La Masa 34, 20156, Milano, Italy;2. Institute of Structural Analysis, Leibniz University Hannover, Appelstrasse 9A, 30167, Hannover, Germany;1. Department of Civil Engineering, Indian School of Mines, Dhanbhad 826004, India;2. Department of Civil Engineering, Indian Institute of Technology Kharagpur, Kharagpur 721302, India |
| Abstract: | The buckling, postbuckling and postbuckled vibration behaviour of composite skew plates subjected to nonuniform inplane loadings are presented here. The skew plate is modelled using first order shear deformation theory accounting for von-Kármán geometric nonlinearity and initial geometric imperfections. The different types of nonuniform loads that have been considered in this study are concentrated load, partial load and parabolic load. The explicit analytical expressions for prebuckling stress distributions within composite skew plate subjected to three different types of nonuniform inplane loadings are developed by solving plane elasticity problem using Airy's stress function approach. It is observed that the inplane normal stress distributions within the skew plate due to above nonuniform loadings do not become uniform even at mid-section. The generalized differential quadrature (GDQ) method is used to solve the nonlinear governing partial differential equations. It is observed that the postbuckled load carrying capacity of skew plate under concentrated loading is the lowest compared to other nonuniform and uniform loadings. |
| Keywords: | Composite skew plate Nonuniform loading Differential quadrature method Postbuckling behaviour Postbuckled vibration |
| 本文献已被 ScienceDirect 等数据库收录！ | |