Super finite elements for nonlinear static and dynamic analysis of stiffened plate structures
Abstract
New plate and stiffener beam finite elements are developed for the nonlinear static and dynamic analysis of stiffened plate structures. The elements are specially designed to contain all the basic modes of deformation response which occur in stiffened plates. Only one plate element per bay or one beam element per span is needed to achieve engineering design level accuracy at minimum cost. The Von Karman large deflection theory is used to model the nonlinear geometric behavior. Material nonlinearities are modeled by Von Mises yield criterion and associated flow rule using a bilinear stress strain law. The finite element equations are derived using the virtual work principle and the matrix quantities are evaluated by Gauss quadrature. Temporal integration is carried out using the Newmarkbeta method with NewtonRaphson iteration. A computer code was written to implement the theory. This was applied to the static, vibration, and transient analysis of unstiffened plates, beams, and plates stiffened in one or two orthogonal directions. Good approximations were obtained for both linear and nonlinear problems. The displacement and stress responses obtained compare well with experimental, analytical, or other numerical results.
 Publication:

Ph.D. Thesis
 Pub Date:
 October 1990
 Bibcode:
 1990PhDT........59K
 Keywords:

 Dynamic Structural Analysis;
 Finite Element Method;
 Nonlinear Systems;
 Reinforced Plates;
 Von Karman Equation;
 Applications Programs (Computers);
 Dynamic Response;
 NewtonRaphson Method;
 Quadratures;
 Static Deformation;
 Stress Functions;
 Vibration Mode;
 Structural Mechanics