Vibration of Plate with Curvilinear Stiffeners Using Mesh-Free Method

(MLS) approximation, is developed for vibration analysis of unitized structures, e.g. a plate with curvilinear stiffeners. The First Order Shear Deformation Theory (FSDT) has been used for modeling the plate and stiffener. The Moving Least Squares approximation does not satisfy the delta function property. Consequently, an approximation method, e.g. the well-known penalty method, must be used for imposing essential boundary conditions. A key benefit of using EFG for vibration analysis of stiffened panel is that the locations and curvatures of the stiffeners can be changed without modifying the plate particles. Numerical results for different stiffeners configurations and boundary conditions are presented. All results are verified using the commercial finite element software ANSYS®. Excellent agreement is seen in all cases. A comparison of the present formulations with other available results for stiffened plates is also made. The meshfree approach yields highly accurate results for the plates with curvilinear stiffeners. Nomenclature A = area aR = Rayleigh damping coefficient