Engineering topics
Publications and source records attributed to Tillerson, J. R..
Equations of motion of shell are solved using Houbolt's numerical procedure with nonlinear terms being moved to right-hand side of equilibrium equations and treated as generalized loads. Program was written in FORTRAN IV for IBM 360 or CDC 6000 series computers.
Utilizing element properties, structural stiffness and mass matrices are generated for as many as twenty harmonics and stored on magnetic tape. Matrices generated constitute input data to be used by other stiffness of revolution programs. Variety of boundary and loading conditions can be employed without having to create new mass and stiffness matrices for each case.
This paper presents a survey of four aspects of nonlinear analysis - basic formulation, plasticity relations, computational procedures, and methods of solution. This survey is for the most part limited to static geometric and material nonlinear analysis under the assumption of small strains. The two formulations covered are the total Lagrangian and the incremental moving coordinate formulations. A comparison of the two formulations is presented and an attempt is made to clarify the underlying basis of each formulation. The survey of computational procedures reveals that most researchers are now using some form of numerical integration to evaluate nonlinear contributions.
Nonlinear dynamic analysis of shells of revolution under symmetric and asymmetric loads, obtaining solutions for shallow cap buckling
Finite element program for determining stiffness and mass matrices of shells of revolution - users manual
DYNASOR-2 finite element program for dynamic nonlinear analysis of shells of revolution
Evaluating methods of numerically integrating equations of motion for nonlinear dynamic analyses of shells of revolution by matrix displacement method
Nonlinear dynamic analysis of shells of revolution by matrix displacement method
Nonlinear dynamic analysis of shells of revolution under symmetric and asymmetric loads, obtaining solutions for shallow cap buckling