Vibration and buckling of rectangular plates with nonuniform elastic constraints in rotation
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Cited by (15)
Analysis of corrugated web plates in bridge structures
2021, Analysis and Design of Plated Structures: Volume 1: StabilityNumerical methods for thermally stressed shallow shell equations
2019, Journal of Computational and Applied MathematicsCitation Excerpt :To maintain the desired accuracy for the biharmonic equation with mixed boundary conditions, global methods usually require extremely high order approximations around the singularities; see for example the series-based method introduced in [17] to solve the biharmonic problem with mixed boundary conditions. Meanwhile, local methods need to be implemented with adaptive mesh refinement around the singularities or combined with singular function approximations, such as the numerical methods developed in [18–20] to study the vibration and buckling of plates. Even though standard local methods combined with local mesh refinement can be applied to a large variety of singular problems with fewer requirements, singular function methods are preferred since it is generally more efficient provided appropriate functions are chosen to fit the singularities.
Analysis of corrugated web plates in bridge structures
2006, Analysis and Design of Plated StructuresDSC analysis of free-edged beams by an iteratively matched boundary method
2005, Journal of Sound and VibrationDiscrete singular convolution for beam analysis
2001, Engineering StructuresThe determination of natural frequencies of rectangular plates with mixed boundary conditions by discrete singular convolution
2001, International Journal of Mechanical Sciences