2015
DOI: 10.1002/nme.4936
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Application of RKP‐FSM in the buckling and free vibration analysis of thin plates with abrupt thickness changes and internal supports

Abstract: A description is given of the development and use of the Reproducing Kernel Particle Finite Strip Method for the buckling and flexural vibration analysis of plates with intermediate supports and step thickness changes. The generalized 1-D shape functions of the Reproducing Kernel Particle Method replace the spline functions in the conventional spline finite strip method in the longitudinal direction. The structure of the generalized Reproducing Kernel Particle Method makes it a suitable tool for dealing with d… Show more

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Cited by 12 publications
(7 citation statements)
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“…We needed to model the boundary conditions, i.e., the supports design and the applied load, with the aim to replicate the test conditions more accurately in order to implement a proper ANSYS validation [ 28 ]. The dimensions for the test samples were those required by the standards (80 × 10 × 4 mm).…”
Section: Discussionmentioning
confidence: 99%
“…We needed to model the boundary conditions, i.e., the supports design and the applied load, with the aim to replicate the test conditions more accurately in order to implement a proper ANSYS validation [ 28 ]. The dimensions for the test samples were those required by the standards (80 × 10 × 4 mm).…”
Section: Discussionmentioning
confidence: 99%
“…At this stage, no calculations were performed for the buckling of a thin-walled drive shaft from compressive forces during a suspension operation [14,15], since these forces are insignificant in comparison with the torque, which transfers the drive shafts from the differential to the hub of the drive wheels.…”
Section: Finite Element Analysismentioning
confidence: 99%
“…Compared with other meshfree methods, RKPM has advantages as follows 19,20 : (1) RKPM retains the advantages of free Lagrangian or SPH methods; (2) RKPM is more accurate than SPH due to the addition of the correction function; (3) RKPM is more efficient in computer implementation than diffuse element method and EFG. Therefore, RKPM has attracted many researchers to use it to solve many problems in different fields, such as material analysis, 30–32 fluid mechanics, 33,34 and structural engineering 35–37 . Chen et al 38 and Memar Ardestani et al 39 successfully used the RKPM to effectively analyze the bending problems of flat and ribbed plates.…”
Section: Introductionmentioning
confidence: 99%