International Journal of Aerospace and Lightweight Structures

doi: 10.3850/S2010428613000020

Vibration of Thin Beams by PIM and RPIM Methods

Bahattin Kanber^a and Othman Mohammed Tufik^b University of Gaziantep, Mechanical Engineering Department, Gaziantep, 27310, Turkey. ^akanber@gantep.edu.tr ^btowfeeqothman@yahoo.com

ABSTRACT

In this study, vibration of thin beams are analyzed by using point interpolation (PIM) and Radial Point Interpolation (RPIM) methods with standard Gaussian integration and a nodal integration based on the Taylor series expansion. The effects of integration schemes, support domain sizes and RPIM shape parameters on the vibration modes are investigated. A cantilever beam problem is solved by linear elastic materials with uniform cross-section. The results are compared with finite element and available analytical solutions.

Keywords: PIM, RPIM, Vibration, Meshfree, Thin beams.

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