Volume 8: 29th Conference on Mechanical Vibration and Noise 2017
DOI: 10.1115/detc2017-68211
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Interaction of Higher Modes in Nonlinear Free Vibration of Stiffened Rectangular Plates

Abstract: Nonlinear free vibration analysis of stiffened plates is presented in this paper. The von Karman theory is employed to model the rectangular stiffened steel plate. The first two symmetric and asymmetric modes are taken into consideration and the coupled nonlinear differential equations of system are derived using the Galerkin approach. The Variational Iteration Method (VIM) is considered as the solution technique and an integral iterative formulation is presented to obtain the nonlinear natural frequencies. Su… Show more

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Cited by 9 publications
(6 citation statements)
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“…Drift and diffusion coefficients are obtained for such a system according to the previous section. Stationary probability and expected value can be calculated from (38) and (39). Figures 1 and 2 show the stationary probability density function of amplitude and velocity, respectively.…”
Section: Numerical Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…Drift and diffusion coefficients are obtained for such a system according to the previous section. Stationary probability and expected value can be calculated from (38) and (39). Figures 1 and 2 show the stationary probability density function of amplitude and velocity, respectively.…”
Section: Numerical Resultsmentioning
confidence: 99%
“…At this stage, the Galerkin method is employed to solve the motion equation which suggests the following solution for a simple-supported plate [39]:…”
Section: Mathematical Modelingmentioning
confidence: 99%
“…Vibration techniques are used to evaluate the condition of the elements by considering the mechanical properties reflected in their dynamic behavior (Hosseinkhani et al 2018). Changes in modal frequencies and modal shapes are among structural response parameters that can be affected by defects in the structure (Farhangdoust et al 2017). Accelerometers, displacement and velocity sensors are the three types of sensors for monitoring the vibration characteristics of a structure.…”
Section: Fig 18 a Schematic Layout For Laser Ultrasonic Testingmentioning
confidence: 99%
“…In the literature, Hamstad et al [9][10][11] have extensively worked on numerical simulations of edge-reflected AE and have demonstrated how such reflections affect AE waveforms. In addition, Farhangdoust et al [12] worked on numerical simulations for stiffened rectangular plates. Alternatively, other researchers have taken an experimental approach [13,14].…”
Section: Introductionmentioning
confidence: 99%