Abstract

The matric formulation of the Maxwell-Mohr equations of continuity is applied to the solution of certain nonlinear problems in the analysis of indeterminate structures. These problems are characterized by the dependence of the flexibility matrix upon the internal loads. Nonlinearities resulting from plasticity and from certain types of buckling have this characteristic. General nonlinear load and deflection equations are given, and an iterative form for their solution b}^ the Newton-Raphson method is derived. The analysis is applied to an indeterminate swept-wing structure in which the members are subject to plastic behavior. Convergence is shown to be rapid even when plasticity is fully developed. The high-speed digital computer is utilized in the numerical solution.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.