A Semi-Analytical Solution for Free Vibration of Thick Orthotropic Annular Sector Plates With General Boundary Conditions, Internal Radial Line and Circumferential Arc Supports
- Xianzhong Wang (Wuhan University of Technology) | Enhui Xu (Wuhan University of Technology) | Di Chen (Wuhan University of Technology) | Zhe Chen (Wuhan University of Technology)
- Document ID
- International Society of Offshore and Polar Engineers
- The 28th International Ocean and Polar Engineering Conference, 10-15 June, Sapporo, Japan
- Publication Date
- Document Type
- Conference Paper
- 2018. International Society of Offshore and Polar Engineers
- Free vibration, general boundary conditions, internal circumferential arc supports, Fourier series solution, internal radial line supports, thick orthotropic annular sector plates
- 0 in the last 30 days
- 13 since 2007
- Show more detail
The aim of this paper is to put forward a semi-analytical solution to conduct the free vibration analysis of thick orthotropic annular sector plates with general boundary conditions, internal radial line and circumferential arc supports for the first time. The governing eigenvalue equation is derived for thick orthotropic annular sector plates of different radii, sector angles, thickness ratio, line/arc supports and various boundary conditions along the radial and circumference edges. The main innovation point of this paper lies in breaking the classical boundary barrier by using an improved Fourier series to replace the traditional Fourier series. By comparing with those results in open reported literature, the present method proves to be of excellent accuracy and reliability.
As the fundamental components, annular sector plates have been widely applied in submarine, curved bridge decks, aeronautical and space structures and other industrial applications on account of their good mechanical property. In these applications, the vibration performance is very important and useful for designers to improve the jobs because of the complex work environment. Besides, as one of special composite materials, the orthotropic material owing an excellent mechanical behavior results in a lot of applications in the industrial field. Thus, it is very important and useful for designers to understand the free vibration characteristic of the thick orthotropic annular sector plate with general boundary conditions, which directly relates to realizing the reasonable and precise mechanical structure design.
In the past decade, great efforts on annular sector thin plates have been made, and also a huge development has been obtained (Aghdam, Mohammadi and Erfanian, 2007; Chen, et al., 2004; Hajabasi and Mirtalaie, 2011; Wang, et al., 2016; Li, 2002).However, the work to investigate the vibration of thick annular sector plates is very rare in the existing open literature. Aghdam and Mohammadi (2009) applied the extended Kantorovich method (EKM) to conduct the bending analysis of thick annular sector plates with classical boundary conditions based on the Mindlin plate theory. Liew and Liu (2000) presented the differential quadrature method (DQM) for free vibration analysis of moderately thick annular sector plates on the basis of the Mindlin first-order shear deformation theory. In their solution, the boundary conditions are limited to classical cases. Jomehzadeh and Saidi (2009) proposed an analytical method to solve the free vibration problem of transversely isotropic moderately thick annular sector plates. The boundary conditions under assuming are simply supported at radial edges and arbitrary classical conditions along the circular edges. Huang and Ho (2004) put forward an analytical solution for vibration of a polarly orthotropic Mindlin circular sector plate with the radial edges simply supported. As far as the authors know, there has been no specified work for the subject of free vibration of orthotropic annular sector Mindlin plates subject to general boundary conditions and with internal radial line and circumferential arc supports.
|File Size||857 KB||Number of Pages||5|