Buckling and Vibration Analysis of Tapered Circular Nano Plate

Journal Title: Journal of Applied and Computational Mechanics - Year 2018, Vol 4, Issue 1

Abstract

In this paper, buckling and free vibration analysis of a circular tapered nanoplate subjected to in-plane forces were studied. The linear variation of the plate thickness was considered in radial direction. Nonlocal elasticity theory was employed to capture size-dependent effects. The Raleigh-Ritz method and differential transform method were utilized to obtain the frequency equations for simply supported and clamped boundary conditions. To verify the accuracy of the Ritz method, the differential transform method (DTM) was also used to drive the size-dependent natural frequencies of circular nanoplates. Both methods reported good results. The validity of solutions was performed by comparing the present results with those of the literature for both classical plate and nanoplate. The effects of nonlocal parameter, mode number, and taper parameter on the natural frequency were investigated. The results showed that increasing the taper parameter causes increasing of buckling load and natural frequencies, and its effects on the clamped boundary condition is more than the simply support.

Authors and Affiliations

Mehdi Zarei, Gholamreza Faghani, Mehran Ghalami, Gholam Hossien Rahimi

Keywords

Related Articles

Modified Rectangular Patch Antenna Loaded With Multiple C Slots for Multiple Applications

A new multiple C- slotted microstrip patch antenna is proposed. A patch antenna is a wide-beam narrowband antenna. Microstrip patch antenna consist of a very thin metallic strip (patch) placed a small fraction of a wave...

Uniaxial buckling analysis comparison of nanoplate and nanocomposite plate with central square cut out using domain decomposition method

A comparison of buckling analysis of the nanoplate and nanocomposite plate with central square hole embedded in Winkler foundation is presented in this article. In order to enhance mechanical properties of nanoplate with...

Reducing Retrieval Time in Automated Storage and Retrieval System with a Gravitational Conveyor Based on Multi-Agent Systems

The main objective of this study is to reduce the retrieval time of a list of products by choosing the best combination of storage and retrieval rules at any time. This is why we start by implementing some storage rules...

Saint-Venant torsion of non-homogeneous anisotropic bars

The BEM is applied to the solution of the torsion problem of non-homogeneous anisotropic non-circular prismatic bars. The problem is formulated in terms of the warping function. This formulation leads to a second order p...

Deformation Characteristics of Composite Structures

Composites provide design flexibility because many of them can be moulded into complex shapes. Carbon fibre-reinforced epoxy composites exhibit excellent fatigue tolerance with high specific strength and stiffness. Thes...

Download PDF file
  • EP ID EP243984
  • DOI 10.22055/JACM.2017.22176.1127
  • Views 75
  • Downloads 0

How To Cite

Mehdi Zarei, Gholamreza Faghani, Mehran Ghalami, Gholam Hossien Rahimi (2018). Buckling and Vibration Analysis of Tapered Circular Nano Plate. Journal of Applied and Computational Mechanics, 4(1), 40-54. https://europub.co.uk/articles/-A-243984