Large amplitude free flexural vibration of arbitrary thin plates using superparametric element

Nonlinear Transient Vibration Analysis of Arbitrary Thin Plates Using Superparametric Element

“…The mapping (Panda and Barik 2017) of an arbitrary geometry of the plate is performed in two steps using cubic serendipity shape function (Zienkiewich and Taylor 1989). First the arbitrary shape is approximately mapped into a [−1, +1] region in the s − t plane.…”

Computational aspects of the combined finite‐discrete element method in static and dynamic analysis of shell structures

“…An unrealistically stiff behaviour of shells in the first finite element method applications (the so-called shear locking phenomenon) called for a development of conforming finite elements and later for introduction of hybrid, mixed, and rotation-free elements [5][6][7][8][9][10][11][12]. It should be noted that the dynamic behaviour of shells under large displacements is still a subject of research [13,14]. The search for a more adaptable and robust approach has led to a usage of meshless and boundary element methods for the analysis of shell structures [15][16][17][18][19][20].…”