0
Research Papers

Large Amplitude Free Flexural Vibration of Stiffened Plates Using Superparametric Element

[+] Author and Article Information
Saleema Panda

Department of Civil Engineering,
National Institute of Technology,
Rourkela 769008, India
e-mail: saleema.panda@gmail.com

Manoranjan Barik

Department of Civil Engineering,
National Institute of Technology,
Rourkela 769008, India
e-mail: manoranjanbarik@yahoo.co.in

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received May 27, 2016; final manuscript received August 27, 2016; published online December 5, 2016. Assoc. Editor: Javier Cuadrado.

J. Comput. Nonlinear Dynam 12(3), 031013 (Dec 05, 2016) (9 pages) Paper No: CND-16-1251; doi: 10.1115/1.4034679 History: Received May 27, 2016; Revised August 27, 2016

The present paper studies the nonlinear free flexural vibration of stiffened plates. The analysis is performed using a superparametric element. This element consists of an ACM plate-bending element along with in-plane displacements to represent the displacement field, and cubic serendipity shape function is used to define the geometry. The element can accommodate any arbitrary geometry, and the stiffeners either straight or curvilinear are modeled such that these can be placed anywhere on the plate. A number of numerical examples are presented to show its efficacy.

FIGURES IN THIS ARTICLE
<>
Copyright © 2017 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Fig. 1

Mapping of arbitrary geometry into a square domain in s–t plane

Grahic Jump Location
Fig. 2

Mapping of element into a square domain in ξ−η plane

Grahic Jump Location
Fig. 4

Coordinate axes at any point of an elastically restrained curved boundary

Grahic Jump Location
Fig. 3

Coordinate axes at any point of a curved stiffener

Grahic Jump Location
Fig. 5

A typical 8 × 8 mesh discretization with boundary nodes of cross-stiffened square plate

Grahic Jump Location
Fig. 6

Cross section of type 1 stiffener

Grahic Jump Location
Fig. 7

A typical 4 × 4 mesh discretization with boundary nodes of straight stiffened rectangular plate

Grahic Jump Location
Fig. 8

A typical 8 × 8 mesh discretization with boundary nodes of curved stiffened rectangular plate

Grahic Jump Location
Fig. 9

Cross section of type 2 stiffener

Grahic Jump Location
Fig. 10

A typical 8 × 8 mesh discretization with boundary nodes of straight stiffened skew plate

Grahic Jump Location
Fig. 11

A typical 8 × 8 mesh discretization with boundary nodes of arbitrary stiffened circular plate

Grahic Jump Location
Fig. 12

A typical 8 × 8 mesh discretization with boundary nodes of annular stiffened plate

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In