Dynamic stiffness formulation for isotropic and orthotropic plates with point nodes

• The dynamic stiffness theory for point noded plates is developed the first time. Discrete Fourier transform applied in a unique way to develop theory. Usefulness and accuracy of free vibration are demonstrated. new permitted application non-classical boundary conditions. Computational method analysis plate significantly advanced. In this paper, isotropic orthotropic rectangular with nodes developed, making it possible integrate properties other elements such as bars beams, but importantly, advanced allows amalgamation conventional finite element derivation matrices has been accomplished by implementing coefficients values amplitudes forces displacements form force–displacement relationship at nodal points, including corners. This innovative objective achieved developing discrete technique modified trigonometric functions. Using some carefully chosen illustrative examples, convergence results ascertained using different number node points their locations on edges. proposed substantial advantages over theories plates, particularly when applying conditions computed numerical discussed significant conclusions drawn.