Abstract: Approximations made outside of the variational principle used in the finite-element method are examined for a restricted problem in elasticity. They are shown to be rigorous from the standpoint ...

Abstract: The foundations of the theory of the finite element method as it applies to linear elasticity are investigated. A particular boundary-value problem in plane stress is considered and the variational ...

Abstract: The finite element method has been extensively applied to the solution of static and dynamic problems. Some work has been done in finite element wave propagation but matrix techniques typically ...

Abstract: A method is presented that allows the rapid prediction of the fundamental frequency and mode shape for a power transmission system. It is based on a programming technique taken from the ...

Abstract: An optimization problem involving the thermal deflections of two parallel circular disks is examined. Error bounds are developed for both the finite-element solution and the optimization problem. ...

Abstract: Results of a numerical analysis completed in conjunction with the analytical development of a previous work are presented. The problem is an optimization study involving the thermal deflections ...

Abstract: The application of a miniaturized energy absorbing mechanism to a light airplane occupant restraint system is presented. The mechanism absorbs energy through the continuous plastic deformation of ...