Robert Kao
The Catholic University of America
12 Papers
193 Citations
Robert Kao is an academic researcher from The Catholic University of America. The author has contributed to research in topics: Finite difference & Boundary value problem. The author has an hindex of 8, co-authored 11 publications.
Chat about Author
Papers
A General Finite Difference Method for Arbitrary Meshes
Nicholas Perrone,Robert Kao +1 more
TL;DR: In this paper, a two-dimensional finite-difference technique for irregular meshes is formulated for derivatives up to the second order, where the domain in the vicinity of a given central point is broken into eight 45 degree pie shaped segments and the closest finite difference point in each segment to the center point is noted.
324
Large Deflections of Axisymmetric Circular Membranes
Robert Kao,Nicholas Perrone +1 more
TL;DR: In this article, a nonlinear relaxation method is employed to solve the nonlinear partial differential equations governing the large deflection response of various axisymmetric circular membranes, which is an iterative approach used in conjunction with finite difference approximations and in its simplest form consists of only two operators.
45
A comparison of Newton-Raphson methods and incremental procedures for geometrically nonlinear analysis
TL;DR: In this paper, a unique relationship is found among four very important and related solution methods for geometrically nonlinear analysis, and suggestions can then be made with respect to the most appropriate method by considering the required accuracy of the solution in conjunction with the costs of computation.
39
A General Nonlinear Relaxation Iteration Technique for Solving Nonlinear Problems in Mechanics
Nicholas Perrone,Robert Kao +1 more
TL;DR: In this article, the nonlinear relaxation method was used to solve three geometrically nonlinear problems in mechanics: finite bending of a circular thin walled tube, the large deflection membrane response of a spherical cap, and finite deformations of a uniformly loaded circular membrane.
37
Large deflections of flat arbitrary membranes
Robert Kao,Nicholas Perrone +1 more
TL;DR: In this article, the nonlinear relaxation method in conjunction with finite difference approximation is utilized to solve the governing differential equations of flat membranes, and the results are presented in a form convenient for direct engineering use.
23